The personal assets and liabilities of a plumber are listed below.

What is the total value of the plumber's liabilities?
$149,367
$167,925
$241,231
$273,881

Answer:

1.92x5=9.6 pounds everyday.

Step-by-step explanation:

The equation of line which is parallel and the line perpendicular to the given line passing through the given point as y = 2x + 7; (0, 1) is y = (-1/2)x + 1.

What is perpendicular line?

The definition of a perpendicular line in geometry is a pair of lines that meet or intersect at right angles (90°). The Latin word "perpendicularis," which denotes a plumb line, is where the word "perpendicular" first appeared.

[tex](y-1) = -\frac{1}{2} (x-0)[/tex]The equation of the line given in the question is:

y = 2x+7

On comparing with the equation y = mx + a

where, m is slope

we get slope of the line as m = 2.

Since the line we have to find is parallel to given line, they have equal slope.

Now, we know that the equation of perpendicular line is given by:

[tex](y-y_1) = -\frac{1}{m} (x-x_1)[/tex]

given points are (0,2) which is represented by (x1,y1)

On putting the value in the equation, we get

[tex](y - 1) = -\frac{1}{2}(x-0)[/tex]

After simplifying it we get the final equation as:

[tex]y = -\frac{1}{2} x + 1[/tex]

Above equation is the equation of line which is parallel and the line perpendicular to the given line passing through the given point as y = 2x + 7; (0, 1).

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Answer:

Step-by-step explanation:

Answer:

The exact Population of the city Y in 2010 was 160,000.

Step-by-step explanation:

Given that,

1. In the year 2015, the populations of City X and City Y were equal.

2. City X population is increased by 20% and City Y population is decreased by 10% from 2010 to 2015.

3. Also, the population of City X was 120,000 in 2010

With the given data, calculation goes like this,

The population of City X in 2010 is 120000

Population Increased by 20% till 2015,

                = 120000×120/100

                = 144000

As Population of city Xand Y are same,

Population of city Y in 2015 would be 144000.

Population of Y in 2010 was decreased by 10%,

                = 144000×100/90

                =160000

Therefore, the Population of city Y in 2010 was 160,000.

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Answer:

2x-5< 14 is the answer

Step-by-step explanation:

Answer:

2x-5<14

I hope this helps!

Answer:

The difference is that the first equation, -2x≥10 -2x can be greater than or equal to 10 but the second equestion is only greater than ten.

Step-by-step explanation:

Kindly check below.

1) Examining the expressions inside the tiles, we can tell that:

2) Based on this we can tell the following relationship of equivalence:

Line segments DA and BE are parallel to FC.

We need to find all the segments parallel to FC.

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

From the given figure, FC parallel to DA and FC parallel to BE.

Therefore, line segments DA and BE are parallel to FC.

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Answer:

Option 2

Step-by-step explanation:

Even though there is a hole at x=2, the graph still approaches 3 from both sides. (We only consider the behavior around the point, not the point itself)

Answer:

b

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]5^{3}[/tex] × [tex]5^{4}[/tex]

=[tex]5^{(3+4)}[/tex]

= [tex]5^{7}[/tex]

The students will earn $82.5 if they sell all the bottles of liquid soap.

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given that,

Total amount of liquid soap prepared by the students for a craft fair =

97.5 ounces

Weight of each bottle in which students poured the soap = 6.5 ounces

Let us first calculate the number of bottles, each contains 6.5 ounces of soap from 97.5 ounces of soap.

So, Number of bottles = [tex]\frac{97.5}{6.5}[/tex] = 15

It means, 15 bottles are prepared which contains 6.5 ounces of soap from 97.5 ounces of soap.

The amount at which each bottle is sold = $5.50

The total amount earned by selling all the bottles of liquid soap = 15×$5.50 = $82.5

Hence, The students will earn $82.5 if they sell all the bottles of liquid soap.

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Answer:

x=16

Step-by-step explanation:

11=x-5

first you need to get x alone on one side so you add 5 on both sides

11=x-5

+5.  +5

11 + 5 is 16, so

16=x

Answer:

[tex]y=-\frac{1}{3} x - 6[/tex]

Step-by-step explanation:

3x+9y=-54

9y=-3x-54

y=-1/3x-6

:] good luck

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

[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{x}{3} - 6[/tex]

____________________________________

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

The given equation is :

[tex]\qquad\displaystyle \tt \rightarrow \: 3x + 9y = - 54[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 9y = - 54 - 3x[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{ - 54}{9} - \frac{3x}{9} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = - \frac{x}{3} - 6[/tex]

And this the equation of same line in its slope intercept form, where slope (m) = -1/3 and y - intercept = -6

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

Explanation:

The slope of the given line is 3/2

A line parallel to this has the same line but different y-intercept.

IIn point-slope form, it is:

Where

Using these, we have:

Answer:

2

Step-by-step explanation:

all steps are in the picture

The value of y-coordinate from the given information is 36.

Given that, the water level rises 12 centimeters every 7 minutes and you record the data point of ​(21​, y).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

According to the question the water rises 12 cm every 7 minutes. Taking x to represent the time in minutes and y to represent the rise in cm then, find the rise y in time x as;

7 minutes = 12 cm

1 minute

(1×12)/7 = 12/7

Hence in 1 minute, the rise is 12/7 cm

Thus in 11 minutes, the rise will be ;

21  × 12/7 = 3 × 12 = 36 cm

So, (x, y) will be (21, 36)

Therefore, the value of y-coordinate from the given information is 36.

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If Mr. Giordano's drove 4.5 miles in 5 minutes and Mr. Baras drove 6.3 miles in 8 minutes, then the Mr. Giordano drove faster because the speed of the Mr. Giordano greater than Mr. Baras

Total distance traveled by the Mr. Giordano = 4.5 miles

The time taken = 5 minutes

Speed = Distance / Time

Speed = 4.5/5

= 0.9 miles per minutes

Total distance traveled by the Mr. Baras = 6.3 miles

The time taken = 8 minutes

Speed = Distance / Time

Speed = 6.3/8

= 0.78 miles per minutes

Hence, if Mr. Giordano's drove 4.5 miles in 5 minutes and Mr. Baras drove 6.3 miles in 8 minutes, then the Mr. Giordano drove faster because the speed of the Mr. Giordano greater than Mr. Baras

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Answer:

262.20

Step-by-step explanation: she originally payed for 10%=.10

2,622x.10=262.2

Answer:

Answer down below!

Step-by-step explanation:

The best way to find the slope of the line is first find a point that rests on the line on an exact point. This exact point is (-1,0)

Then, once you find that point, continue to use rise/run to find the slope.

In this case, it goes up one, and over one

So, your slope would be 1/1 or just 1.

(NOTE: IF YOU CONTINUE TO KEEP GOING ONE UP AND ONE OVER, IT WILL STILL GIVE YOU THE SAME SLOPE, BUT YOU WILL HAVE TO DO MORE WORK!!)

Using the sum of angles, we know that the value of 'x' is 14°.

What is the sum of the angles of a triangle?

Some of the angles of a triangle are the property of triangle states that the sum of interior angles of a triangle is 180°.

Given angles are 47, 103, 3x-12:

Therefore, using the sum of angles, we know that the value of 'x' is 14°.

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Answer:

7y-20

Step-by-step explanation:

-3y-12+8y-8

7y-20

Answer:

5y - 20

Step-by-step explanation:

 Remove the parenthesis by multiplying each term of (y+ 4) by (-3) and  multiplying each term of (2y - 2) by 4

 -3(y + 4) + 4(2y - 2) = (-3)*y + (-3)*4 + 4*2y - 2*4

                                = -3y - 12 + 8y - 8

                               = -3y + 8y  -12 - 8

Combine like terms (-3y & 8y) and constants (-12 & -8).

                               = 5y - 20

Answer:

there is no model linked

Step-by-step explanation:

Answer: y=3/4x-4.5

Step-by-step explanation: Looking at the two points on the line, it goes up 3 times and right 4 times, making it 3/4x. To find the y-intercept, you look where the line intersects the y-axis, and it intersects at y=-4.5.

The rule for the function g(x) is g(x) = x - 5 when f(x) = 5 and vertical down to 5 units.

Functions:

Function refers the relationship from a set X to a set Y assigns to each element of X exactly one element of Y

Given,

Let g(x) indicated the transformation of f(x)

Here we need to write the rule for g(x) when f(x) = x, and vertical translation down 5 units.

Here we have the function f(x) = x.

Considering the normal graph, we know that, the graph has four parts.

And each part refers difference sign. That is,

Horizontal left indicates the positive where as the horizontal right refers the negative for x axis.

Similarly, vertical up refers the positive and the vertical down represents the negative.

Here we have the vertical down translation of 5 units which refers the negative 5.

So, the rule of g(x) = x - 5.

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It takes a time of 33 mi 33 sec for the two when they work together

Let x be the overall quantity of papers that must be delivered.

Candy can deliver x/50 papers in a minute.

Tim can deliver x/100 papers in a minute.

Tim and Candy took their time gathering all the papers together =x/ (x/50 +x/100)

= x/ (3x/ 100)

=100/ 3 minutes

=33 minutes 33 seconds

When Tim and Candy collaborate, it takes them 33 minutes and 33 seconds to distribute all the papers.

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Answer:

Step-by-step explanation:

It takes a time of 33 min 33 sec.

Let x be the overall quantity of papers that must be delivered.

Candy can deliver x/50 papers in a minute. Tim can deliver x/100 papers in a minute. Tim and Candy took their time gathering all the papers together =x/ (x/50+x/100) = x/(3x/ 100) =100/ 3 minutes =33 minutes 33 seconds

That is When Tim and Candy collaborate, it takes them 33 minutes and 33 seconds to distribute all the papers.

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Explanation:

m < 0 tells us m is negative

n > 0 means n is positive

Therefore the product of m and n is always negative due to the rule

negative * positive = negative

Examples:

-2*5 = -10

7*(-3) = -21

The total amount in the account after interest will be about $4525.63 .

In the fields of finance and economics, interest is the additional sum that is paid by a borrower or deposit-taking financial institution to a lender or depositor at a certain rate (the amount borrowed).

Interest when the principal is $4000 , time is 5 years and rate is 2.5%.

We know that from compound interest:

Amount = principal (1 + rate)ⁿ

Therefore

Amount = 4000 (1 +0.025)⁵

Amount = $4525.6328...

Amount ≈ $4525.63

Therefore adding interest the sum would be worth $657.51

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The cost of the jalapeno poppers was $9.24 if each friend paid $9.73.

The cost of the jalapeno poppers can be determined by using multiplication followed by subtraction.

First, we determine the total amount paid by the three friends;

If each friend paid $9.73, then;

Total amount = 9.73 × 3

Total amount = $29.19

Now to find the cost of jalapeno poppers, we subtract the cost of nachos from the total amount paid by the three friends;

cost of jalapeno poppers = total amount - cost of nachos

cost of jalapeno poppers = 29.19 - 19.95

cost of jalapeno poppers = $9.24

Therefore, the cost of jalapeno poppers is calculated to be $9.24.

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Comparison symbol makes each inequality statement true is −6.809< −6.812.

The given numbers are −6.809 and −6.812.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Comparing decimals involves starting with the digits having the highest place value, just like when comparing other whole numbers. We begin the comparison by putting the provided decimal numbers in a place value table. We move on to the digits in the next place to the right if the digits on the biggest place value match. Up till the digits that are different are reached, we continue comparing digits.

−6.809< −6.812

|−6.809|>|−6.812|

Therefore, comparison symbol makes each inequality statement true is −6.809< −6.812.

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The probability that the sample is less than 8.42 is 0.0029 or 0.29%.

Using the normal distribution and the central limit theorem,

The mean is μ = 8.5

The standard deviation is σ = 0.22 .

A sample of 37 is taken, hence n = 37, s = 0.22/√37 i.e. s = 0.0362

The probability that the sample average is LESS than 8.40 is the p-value of Z when X = 8.4, hence:

Z = X - μ/σ

Z = 8.4 - 8.5/0.0362

Z = 2.76

Z = -2.76 has a p-value 0.0029

0.0029 = 0.29% probability that the sample average is LESS than 8.40.

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Answer:

2700 kg

Step-by-step explanation:

54 × 50 kg = 2700 kg