* 100 POINTS *
At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost
$2.35. One day, the receipts for a total of 172 cones and sundaes were
$294.20. How many cones were sold?

You purchase 8 gal of paint and 3 brushes for $152.50. The next day, you
purchase 6 gal of paint and 2 brushes for $113.00. How much does each
gallon of paint and each brush cost?

Two separate questions. 100 points for both answered. Brainliest if both answered.

Answers

Answer 1

Answer:

1.) 88 cones were sold

2.) $17.00 per gal of paint; $5.50 per brush

Step-by-step explanation:

1.) ($1.10(88)= $96.80) + ($2.35(84)= $197.40)= $294.20

2.) I have a really complicated process, and it's really late at night where I am

Answer 2

Answer:

For the first question, 88 cones were sold

For the second question, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (that is, 5 dollars and 50 cents).

Step-by-step explanation:

For the first question,

Let the number of ice cream cones be represented by the letter 'x'

And the number of sundaes be represented by the letter 'y'

[tex](1.10x + 2.35y) = 294.20 \: \: \: equ.2 \\ (x + y) = 172 \: \: \: equ.1[/tex]

Solving it simultaneously, subtract equ. 2 from equ. 1

[tex]0.10x - 1.35y = 122.20[/tex]

Making x the subject,

[tex]x = \frac{122.20 + 1.35y}{0.10} [/tex]

Substitute the value of x above in equ. 1

[tex] \frac{122.20 + 1.35y}{0.10} + y = 172[/tex]

L. C. M = 0.10

Multiply through by the L. C. M

[tex]122.20 + 1.35y + 0.10y = 17.2[/tex]

Collect like terms

122.20 - 17.2 = - 1.35y - 0.10y

105 = - 1.25y

[tex]y = \frac{105}{1.25} = 84[/tex]

Substituting the value of y in equ. 1

[tex]x + 84 = 172 \\ x = 172 - 84 \\ x = 88[/tex]

Therefore, 84 sundaes were sold and 88 ice-cream cones were sold.

For the second question, let paint represent 'p' and brush represent 'b'

[tex]8p + 3b = 152.5 \: \: \: equ2 \\ 6p + 2b = 113 \: \: \: equ1[/tex]

Solving simultaneously,

Subtract equ2 from equ 1

[tex]2p + b = 39.5 \\ b = 39.5 - 2p[/tex]

Substituting the value of b in equ1

[tex]6p + 2(39.5 - 2p) = 113 \\ 6p + 79 - 4p = 113[/tex]

Collect like terms

[tex]2p = 113 - 79 \\ 2p = 34 \\ p = 17[/tex]

Substituting the value of p in equ1

[tex]6(17) + 2b = 113 \\ 102 + 2b = 113[/tex]

Collect like terms

[tex]2b = 113 - 102 \\ 2b = 11 \\ b = 11 \div 2 \\ b = 5.5[/tex]

Therefore, a gallon of paint costs 17 dollars and a brush costs 5.5 dollars (i.e 5 dollars, 50 cents)


Related Questions

Write a ratio for the following situation.

For every one year, there are twelve months.

Answers

I think it’s a 12:1 ratio. Hope it helped!

A flight from sydney to auckland takes 3 hours and 12 minutes. auckland time is 2 hours ahead of sydney's. if the flight departed at sydney 10:10am at what time did it arrive at auckland

Answers

The time in Auckland when the flight arrives would be 15:22 or 3:22pm

Rewrite as a simplified fraction.
3.8333333333333=?

Answers

Answer:

38333333333333/10000000000000

Step-by-step explanation:

Gabriel tiene el doble de dinero que Daniel y tiene cinco veces lo que Edgar. Si Gabriel regalara Q14 a Daniel y Q33 a Edgar, los tres quedarían con igual cantidad. ¿Cuánto dinero tiene cada uno?

Answers

Using a system of equations, it is found that the amounts of money that each of Gabriel, Daniel and Edgar have are given as follows:

Gabriel: Q122.Daniel: Q61.Edgar: Q42.

What is a system of equations?

A system of equations is when multiple variables are related, and equations are built to find the numeric values of each variable, according to the relations built in the context of the problem.

In the context of this problem, the variables are given as follows:

Variable x: Amount of money that Gabriel has.Variable y: Amount of money that Daniel has.Variable z: Amount of money that Edgar has.

Gabriel has double the amount of Daniel, hence:

x = 2y.

Gabriel has five times the amount of Edgar, hence:

x = 5z.

If Gabriel loans Q14 to Daniel and Q33 to Edgar, they will have the same amount, hence:

x - 47 = y + 14 = z + 33.

Since x = 2y, we can replace into the first two sides of the equality above and solve for y as follows:

2y - 47 = y + 14

y = 61. (Daniel's amount).

The solution for x is given as follows:

x = 2y = 2(161) = 122 (Gabriel's amount).

The solution for z is given as follows:

x - 47 = z + 33

122 - 47 = z + 33

75 = z + 33

z = 75 - 33

z = 42 (Edgar's amount).

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

The range of F(x) = 7.4* is all positive real numbers.

Answers

The range of F(x) = 7.4* is all positive real numbers is true

What is Range ?

When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.

Currently, the function is

f(x) = 7 x 4^x

Suppose,

y = f(x) = 7 x 4^x.

=> y = 7 x 4^x

Hence,

lny = ln (7 x 4^x).

We obtain using the logarithm equation

Hence,

ln y = ln7 + ln 4^x.

= ln y = ln7 + x ln4 .

Hence,

y equals e^(ln7 + x ln4).

=> y = e^ln7.e^(xln4) (xln4)

Using the exponential formula, we obtain

=> y = 7xln4

Consequently, y=f(x)=7.x.ln4

To determine function f's value (x)

7.x.ln7 = 0

As a result, For all possible values of x (x€R). To date,

=> 7x ≥ 0

=> 7xln4 ≥ 0

Therefore interval notation will be (0,∞)

Notation for set builders:

{y|y>0}

The graph will be plotted as follows if all the values of x (x€R) are used:

Hence, it is true that the range of f(x)=7*4x is all positive real integers.

To learn more about Range click on the link

https://brainly.com/question/26098895

#SPJ9

Easton is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. easton will earn $40 every time one of his songs is played in a commercial and he will earn $110 every time one of his songs is played in a movie. easton's songs were played on 6 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $840. determine the number of commercials and the number of movies on which easton's songs were played.

Answers

The number of time Easton's song was played on commercials is 10 times.

The number of time Easton's song was played during a movie is 4 times.

How many times was the song played in commercials and during movies?

The first step is to form a system of equations:

40c + 110m = 840 equation 1

c - m = 6

c = 6 + m equation 2

Where:

c = number of times the songs was played in commercials.m =  number of times the songs was played in movies

The system of equations would be solved using the substitution method.

Substitute for c in equation 1 using equation 2

40(6 +  m) + 110m = 840

240 + 40m + 110m = 840

40m + 110m = 840 - 240

150m = 600

m = 600 / 150

m = 4

Substitute for m in equation 2.

c = 6 + 4

c = 10

To learn more about system of equations, please check: https://brainly.com/question/25875552

#SPJ1

help need help i give 26 pointes

Answers

According to the given line, the points are L and M and the segment is LM.

Lines:

The line is defined as the one-dimensional figure, which has length but no width. It is made of a set of points which is extended in opposite directions infinitely.

Given,

Here we have the diagram.

Through the given diagram we have to identify the points and segments from it.

We know that, the points refers the is a dimensionless shape, since it represents a dot only, whereas a line is a one-dimensional shape.

Based on this definition , we have two points that L and M in the given diagram.

Next one we have to identify from the graph is segment,

Segment means the part of the line that connects two points.

So, LM is the segment of the line.

To know more about Line here.

https://brainly.com/question/17188072

#SPJ1

What are all of the solutions to the trigonometric equation 2 times cosine squared theta minus 2 times sine squared theta equals radical 2 question mark

Answers

Explanation

Given the trigonometric expression

[tex]2cos^2\theta-2sin^2\theta=\sqrt{2}[/tex]

We can find the solutions below;

From trigonometry identities;

[tex]cos^2\theta-sin^2\theta=cos2\theta[/tex]

Therefore; we will have;

[tex]\begin{gathered} 2cos^2\theta-2s\imaginaryI n^2\theta=\sqrt{2} \\ 2(cos^2\theta-sin^2\theta)=\sqrt{2} \\ 2cos2\theta=\sqrt{2} \\ Divide\text{ both sides by 2} \\ \frac{\begin{equation*}2cos2\theta\end{equation*}}{2}=\frac{\sqrt{2}}{2} \\ cos2\theta=\frac{\sqrt{2}}{2} \end{gathered}[/tex]

Therefore, the general solutions for the above is given as;

[tex]\begin{gathered} 2θ=\frac{\pi}{4}+2\pi n,\:2θ=\frac{7\pi}{4}+2\pi n \\ therefore; \\ \theta=\frac{\frac{\pi}{4}+2\pi n}{2},\theta=\frac{\frac{7\pi}{4}+2\pi n}{2} \\ \theta=\frac{\pi}{8}=\pi n,\theta=\frac{7\pi}{8}+\pi n \end{gathered}[/tex]

Answer:

[tex]\theta=\frac{\pi}{8}+\pi n,\theta=\frac{7\pi}{8}+\pi n[/tex]

Two numbers add up to $23$ and their difference is $27$. How far apart are the two numbers

Answers

Answer:

27

Step-by-step explanation:

x + y = 23

x - y = 27

(x + y) + (x - y) = 23 + 27

2x = 50

x = 25

y = - 2

How to find distance:

|25 -(-2)| = |27| = 27

Answer:-4+27

Step-by-step explanation:

A 10 inch-candle burns at a linear rate. It measures 9 inches two hours after it was lit. Which equation can be used to find the length of the candle, y, in inches after x hours it was lit?
1. y = 10 - 0.5x
2. y = 10 - 4.5x
3. y = 10 - 9x
4. y = 10 - 2x

Answers

Answer:

1. y = 10 - 0.5x

Step-by-step explanation:

Find the burning rate of candle per hour:

(10 - 9)/2 = 1/2 = 0.5 in

The rate is the slope of the linear function and the initial length of the candle is the y-intercept:

m = - 0.5,b = 10.

The equation is:

y = -0.5x + 10 ory = 10 - 0.5x

Correct choice is the first one.

PLOT THE POINTS FOR BRAINLIST HELPPPP

Answers

The graph of the linear equation 4x - y = 8, with two points on the line is shown in the image attached below.

How to Graph a Linear Equation?

If we know the slope, m, of the linear equation, which is the rise of the line over the run of the line, and also know the y-intercept value, b, we can graph a linear equation such that the slope of the line would be the value of m, and the point where the line intercepts the y-axis would be the value of b in the linear equation that is represented as y = mx + b.

Given the linear equation, 4x - y = 8, we can rewrite this in slope-intercept form as y = mx + b:

4x - y = 8

-y = -4x + 8 [subtraction property of equality]

y = 4x - 8 [division property of equality]

The slope, m, is 4, while the graph of the linear equation must intercept the y-axis at y = -8, because the y-intercept of the linear equation is b = -8.

Thus, the graph of 4x - y = 8 is shown below.

Learn more about linear equation graph on:

https://brainly.com/question/28279384

#SPJ1

Answer the 2 question in the photo for EASY points ( 20 points )

Answers

Answer:

the answer is 29              

The answer would be 29 hope this helps!

The area of a circle is 9π cm². What is the circumference, in centimeters? Express your answer in terms of
π

Answers

The circumference of a circle whose area is 9π cm² in terms of pi is 6π centimeters.

What is the circumference of the circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

The circumference of a circle is expressed mathematically as;

C = 2πr

Given that the area of the circle is 9πcm², we determine the radius of the circle.

A = πr²

9πcm² = π × r²

r² = 9πcm² / π

r² = 9cm²

r = √9cm²

r = 3cm

Now, we determine the circumference of the circle.

C = 2πr

C = 2 × π × 3cm

C = 6cm × π

C = 6π cm

Therefore, the circumference of the circle is 6π centimeters.

Learn more about circles here: brainly.com/question/11952845

#SPJ1

What is the slope
y = 8x - 15

Answers

Answer: the slope of this equation is 8

Step-by-step explanation: y = 8x - 15, the 8x represents the slope of this equation

The area of the entire figure below is 1 square unit.


What is the area of the stripped rectangle??

Answers

3/10 sq unit or 0.3 sq unit

1/5 x 2 = 2/5
1/4 x 3 = 3/4

2/5 x 3/4 = 3/10


Victoria is older than Tyee. Their ages are consecutive even integers. Find Victoria's
age if the product of their ages is 80.

Answers

The ages of Victoria and tyee are 72 and 74.

What are linear equations?

A linear equation is an algebraic equation of the form y=mx+b that only contains a constant and a first-order (linear) component, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are the variables. Ax+By=C is the accepted form for two-variable linear equations. Finding both intercepts of an equation in this form is rather simple (x and y). If an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is said to be linear. The point-slope form, standard form, and slope-intercept form are the three primary types of linear equations.

As given

ages are consecutive even integers

Victoria > Tyee

So

Victoria's age = x

Tyee's age = x + 2

x(x + 2) = 80

= x² + 2x - 80

= x²  + 8x - 10x - 80

Hence , the ages are 72 and 74.

To know more about linear equations ,visit:

brainly.com/question/11897796

#SPJ13

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 23 fl oz per hour. How fast was the pipe leaking in gallons per day​

Answers

The pipe leaking in gallons per day is [tex]\frac{69}{16}[/tex] gallons/day.

The Janitor find the leakage in the pipe at a rate of [tex]23[/tex] fl oz per hour.

We have to find how fast was the pipe leaking in gallons per day​.

To find the leaking in gallons per day​ we have to convert [tex]23[/tex] fl oz per hour into gallons per day.

As we know that

[tex]1[/tex] gallon[tex]=128[/tex] fl oz

So [tex]1[/tex] fl oz[tex]=\frac{1}{128}[/tex] gallons

There are [tex]24[/tex] hours in a day so we multiply with [tex]24[/tex] to convert in day.

So the expression should be

[tex]=23[/tex] fl oz/hours[tex]\times\frac{1}{128}[/tex] gallons/fl oz[tex]\times24[/tex] hours/day

[tex]=\frac{23\times24}{128}[/tex] gallons/day

[tex]=\frac{23\times3}{16}\\[/tex] gallons/day

[tex]=\frac{69}{16}[/tex] gallons/day

Hence, the pipe leaking in gallons per day is [tex]\frac{69}{16}[/tex] gallons/day.

To learn more about conversion of gallons and lb here link

https://brainly.com/question/22690673

#SPJ1

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1600 after 1​ day, what is the size of the colony after 4 ​days? How long is it until there are 70,000 ​mosquitoes?

Answers

The number of mosquitoes on the colony after 4 days is 2800.

The number of days that there are 70,000 mosquitoes will be 114 dad.

How to illustrate the population?

The population of a colony of mosquitoes obeys the law of uninhibited growth and there are 1000 mosquitoes initially and there are 1600 after 1 day. The common difference will be:

= 1600 - 1000

= 600

The formula for the arithmetic sequence will be:

= a + (n - 1)d

a = 1000

d = 600

n = 4

The colony after 4 days will be:

= a + (n - 1)d

= 1000 + (4 - 1)600

= 1000 + 1800

= 2800

The number of days that there are 70,000 mosquitoes will be:

a + (n - 1)d = 70000

1000 + 600(n - 1) = 70000

1000 + 600n - 600 = 70000

Collect like terms

600n = 70000 - 1000 + 600

600n = 68400

n = 68400/600

n = 114 days

Learn more about population on:

brainly.com/question/25896797

#SPJ1

Solve the equation.

3x^2 + 12 = 0

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 2i [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3 {x}^{2} + 12 = 0[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3{x}^{2} = - 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - \frac{12}{3} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x {}^{2} = - 4 [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ (- 1)(4)} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 1} \sdot \sqrt{4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = i \sdot2[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = 2i[/tex]

[ i represents iota, i² = -1, (complex number) ]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

[tex]x=2i[/tex]

Step-by-step explanation:

Given equation:

[tex]3x^2+12=0[/tex]

Factor 3 from the left side of the equation:

[tex]\implies 3(x^2+4)=0[/tex]

Divide both sides of the equation by 3:

[tex]\implies\dfrac{3(x^2+4)}{3}=\dfrac{0}{3}[/tex]

[tex]\implies x^2+4=0[/tex]

Subtract 4 from both sides:

[tex]\implies x^2+4-4=0-4[/tex]

[tex]\implies x^2=-4[/tex]

Square root both sides:

[tex]\implies \sqrt{x^2}=\sqrt{-4}[/tex]

[tex]\implies x^2=\sqrt{-4}[/tex]

Rewrite -4 as 2² · -1:

[tex]\implies x=\sqrt{2^2 \cdot-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies x=\sqrt{2^2}\sqrt{-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies x=2\sqrt{-1}[/tex]

[tex]\textsf{Since $\sqrt{-1}=i$}[/tex]

[tex]\implies x=2i[/tex]

Imaginary numbers

Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an imaginary number, and is represented using the letter i.

An imaginary number is written in the form [tex]bi[/tex], where [tex]b \in \mathbb{R}[/tex].

Congruent triangle

Please answers the following question…


The picture is attached below

Answers

Answer is
1) ABC similar to FED

2) This is rule AAS angle angle side congruency

3) you need to “translate” (move or slide) and “reflect” (flip or mirror) FED as per the directions to make vertices match up with ABC
A to F
B to E
C to D

men versus women: the average 20- to 29-year-old man is 69.9 inches tall, with a standard deviation of 3.0 inches, while the average 20- to 29-year-old woman is 64.1 inches tall, with standard deviation of 3.8 inches. a. find the z scores for a 67-inch- man and a 62-inch woman.

Answers

The z-scores for a 67-inch- man and a 62-inch woman are -0.9667 and -0.5526, respectively.

The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that

z-score = (x – μ) / σ

where x = sample data value

μ = mean

σ = standard deviation

For a 67-inch- man, use the formula to solve for the z-score.

x = 67

μ = 69.9

σ = 3.0

z-score = (x – μ) / σ

z-score = (67 - 69.9) / 3.0

z-score = -0.9667

Do the same for a 62-inch- man, use the formula to solve for the z-score.

x = 62

μ = 64.1

σ = 3.8

z-score = (x – μ) / σ

z-score = (62 - 64.1) / 3.8

z-score = -0.5526

Learn more about z-score here: brainly.com/question/17489087

#SPJ4

Which arrangement shows −5 1/2 , −5 , −6.4 , and −26/4 in order from least to greatest?

<3 thx

Answers

Answer:

   -6.4, -5 1/2, -5, and -2 6/4.

Step-by-step explanation:

Arranging these negative values in order from least to greatest may be tricky if you are not familiar with your integer rules and operations. However, if you seem to understand, even a little, this way may be helpful to you.

All you need to know is this. positive and negative are opposites. Thus, if, for example, +2 is greater than +1 in positives, then -2 is less than -1 in negatives. So, in other words, think about it this way when you see a negative number, but you are used to positive numbers, just assume that the biggest number on the positive side is the smallest number on the negative side.

Therefore, if we were to use this method, we would result in -6.4, -5 1/2, -5, and -2 6/4. Since it would be the opposite in positives.

A political campaign manager negotiated radio & television time for a candidate’s political announcements. The budget is limited to $48,000 on the announcements. Each 60-second radio spot cost $200, whereas 30 seconds of television time costs $600. The manager wants at least 45 radio spots, but no more than 90 and at least 20 television spots. Is the following system of inequalities correct?

200 r +600 t ≤ 48000
45≤ r ≤ 90
t ≥ 20

Answers

Yes, the system of inequalities listed to the represent the wants of the campaign manager are correct

What is inequalities?

This refers to the term in mathematics that uses some expressions to typify statements.

The following are the statements in inequalities

less than <greater than >less than or equal to ≤greater than or equal to ≥

Considering the question here:

r = each 60-second radio spot

t = 30 seconds of television time

The budget is limited to $48,000 means less than or equal to

The manager wants at least 45 radio spots, but no more than 90

means radio spots from 45 to 90 hence 45≤ r ≤ 90

at least 20 means television spots of 20 and above hence t ≥ 20

Read more on inequalities here:

https://brainly.com/question/24372553

#SPJ1

Graph the following set of points: A B C (1,3), (-3, -3), (5,2). Find the area and perimeter of ∆ABC . Leave answer in two decimal places.

Answers

The perimeter of the triangle is 29.31 units and the area of the triangle is 38.87 units^2

Distance Between Points

To find the perimeter and area of the triangle, we have to use the formula of distance between two points.

A = (1, 3)B = (-3, -3)C = (5, 2)

Distance between AB

[tex]d_a_b = \sqrt{(a_1+a_2)^2 + (b_1 + b_2)^2} \\d_a_b = \sqrt{(3+1)^2 + (-3-3)^2}\\ d_a_b = \sqrt{4^2 + 9^2} \\d_a_b = 9.85 units[/tex]

Distance between BC

[tex]d_b_c = \sqrt{(b_1+b_2)^2 + (c_1+c_2)^2}\\d_b_c = \sqrt{(-9)^2 + (7)^2}\\d_b_c = \sqrt{130} \\d_b_c = 11.40 units[/tex]

Distance between AC

[tex]d_a_c = \sqrt{(a+1_a_2)^2 + (c_1+c_2)^2} \\d_a_c = 8.06 units[/tex]

The perimeter of the triangle is equal to

[tex]p = 9.85 + 11.40 + 8.06 = 29.31 units[/tex]

The area of the  triangle is 38.87 units^2

Kindly find the attached graph below;

Learn more on area of triangle here;

https://brainly.com/question/231802

#SPJ1

A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark at the top of the wheel. If the wheel rotates StartFraction pi Over 3 EndFraction radians, how far above the water is the yellow mark? 1 foot 2 feet 3 feet 4 feet

Answers

The height of the yellow mark above the water is 1 foot.

This is further explained below.

How far above the water is the yellow mark?

Generally, The radius of a waterwheel is 4 feet, and its center is 1 foot below the waterline.

Estimation of feet:

cos π/3 = OB/OA

1/2 = OB/4

OB = 2

t

In conclusion,A yellow mark should be placed above the water

= OB - OD

= 2 - 1

= 1 foot

Read more about waterwheel

https://brainly.com/question/15070556

#SPJ1

Answer:

the other answer is correct is A. 1 foot

Step-by-step explanation:

Got it right on edge

Write 3/10 + 7/100 as a single fraction using decimal notation pllllllllssss need it In a minute its urgent​

Answers

Hello!

Here are both solutions to your equation.

Fraction Form:

[tex]\frac{37}{100}[/tex]

OR

Decimal Form:

[tex]0.37[/tex]

Hope this helps!

An architect has designed two tunnels. Tunnel A is modeled by x2 + y2 + 30x + 56 = 0, and tunnel B is modeled by x2 – 30x + 16y – 95 = 0, where all measurements are in feet. The architect wants to verify whether a truck that is 8 feet wide and 13.5 feet high can pass through the tunnels.

Part A: Write the equation for Tunnel A in standard form and determine the conic section. Show your work.

Part B: Write the equation for Tunnel B in standard form and determine the conic section. Show your work.

Part C: Determine the maximum height of each tunnel. Is the truck able to pass through either tunnel without damage? If so, which tunnel(s) and why? Show your work.

Answers

The tunnel A will be damaged and truck can pass through tunnel B.

Given that, tunnel A is modeled by x² + y² + 30x + 56 = 0, and tunnel B is modeled by x² – 30x + 16y – 95 = 0.

What is the standard form of parabola equation?

The general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h, k) denotes the vertex. The standard equation of a regular parabola is y²= = 4ax.

Part A: x²+y²+30x+56=0

Add 15² on both the sides of a equation

That is, x²+30x+15²+y²=-56+15²

⇒ (x+15)²+y²=169

⇒ (x+15)²+y²=13²

Divide 13² on both the sides of the equation

⇒ (x+15)²/13² + y²/13² =1

Part B:

x²-30x+16y-95=0

Now, x²-30x+16y=95

Add 15² on both the sides of a equation

That is, x²-30x+15²+16y=95+15²

⇒ (x-15)²=320-16y

⇒ (x-15)²=16(20-y)

Part C:

Maximum height:

A: 13 feet

B: 20 feet

Width = 8 feet

A: x+15=8/2=4 y=12.37<13.5

B: x-15=8/2=4 y=19>13.5

Hence, the tunnel A will be damaged and truck can pass through tunnel B.

To learn more about the parabola equation visit:

https://brainly.com/question/21685473.

#SPJ1

I WILL MARK BRAINLIEST!!
What does y equal in the solution of the system below:

x/2 + y/3 = 1
x/5 + y/2 = 1



A. 2/11
B. 42/19
C. 18/11
D. 2/19

Please work it out/explain!!!

Answers

Answer:

C

Step-by-step explanation:

I'm to lazy to type it out so...I took a photo

I hope this helps :D

and I need brainiliest so bad...

HELP ME PLEASE AND HURRY :[ From a lamp post four feet away from her, Sandra looks up to the sky and sees a bird that is five feet away from her. How high up is the bird? Show all of your steps in answering the question

Answers

Answer:

3 feet

Step-by-step explanation:

s= sandra

L= Lamp

if you know that the lamp is four feet away, and the bird is five feet away. go vertically up from the lamp until the distance from the lamp vertically equals five feet back to sandra.

suppose m<7 = 96 find m<2 and m< 4

Answers

Answer:

Answer down below!

Step-by-step explanation:

If we draw this out, we already know that m<7 = 96

Using what we already know, we can figure out the rest

m<6 also equals 96 because m<7 and m<6 are verticle angles

m<3 also equals 96 because m<6 and m<3 are opposite interior angles

m<2 also equals 96 because m<3 and m<2 are verticle angles

Now, to find m<4, simply subtract 96 from 180. That should give you 84

Thus, m<2 = 96 and m<4 = 84

Other Questions
Does "Number the Stars" have a happy ending? Why or why not? la interpretacion de la primera estrofa del himno nacional Please help^^Vinegar will/will not dissolve in water and will/will not dissolve in vegetable oil because it is polar/nonpolar/ionic. Rubbing alcohol will/will not dissolve in water and will/will not dissolve in vegetable oil because it is polar/nonpolar/ionic.Salt will/will not dissolve in water and will/will not dissolve in vegetable oil because it is polar/nonpolar/ionic. Give an example of a specific reason that caused a time period to end and a new one to begin- be sure to name the time periods involved.Example: The Permian ended with a mass extinction which started the Triassic or The Precambrian and Paleozoic change comes from the presence of hard parts in animals. (DO NOT use the example as your own, choose a different time period)for EARTH and SCIENCE Write an inequality that represents the graph below What are the dimensions of the rectangle with Maximum area? give the historical significance of christopher columbus in 2-3 sentences Listed in the Item Bank are some important labels for sections of the image below. To find out more information about labels, some have more details available when you click on them. Drag and drop each label to the corresponding area it identifies in the image. Which word best defines the term Renaissance?birthrebirthbeginningend Use the following image to complete the sentences describing the ratio of spots to eyes.A ladybug with 2 eyes and 6 spots.A ladybug with 2 eyes and 6 spots.There are 6 spots for every eyes.There are spots for every 1 eye. The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020? Explain your answers. What is the value of q in the equation ?610 What is a whole step above G on a piano What does Amara hope willhappen when Dad sits on the sofa?She hopes Dad and Grandpa will writepoetry together.She hopes Dad and Grandpa will talkto each other.She hopes Dad and Grandpa will callMom tonight.She hopes Dad and Grandpa willdecide to play basketball.D% What is Kepler's laws of planetary motion? find the sum of the measure of the angle of a three sided polygon nouOR36, 27,814'Find the 10th term.Submit Answer Steve files head of household. In 2022, he received $23,000 in social security benefits, $10,000 in taxable retirement income, and $4,000 in interest and dividend income. Using the Social Security Benefits Worksheet - Line 6a and 6b, determine Steve's taxable social security benefits. I am having trouble with the last two questions. I worked through finding the slope and y-intercept with a previous tutor, before we got disconnected.6. Express this equation as a function D of P and find its domain.7. How many shirts per month will be demanded if the price is $27? Is (-2,-6) a solution to the equation y = 3x?OyesOno