The actual area of the apartment's living room is 10 [tex]m^{2}[/tex]
Given
Room is in the shape of a rectangle
Length of the room (L)= 10 cm
Width of the room (W) = 4 cm
Also the scale of floor plan is 2 cm for every 1 meter
Initially the are of the living room = area of rectangle
Area of the rectangle = length × width
= 10 × 40
= 40 [tex]cm^{2}[/tex]
To find actual floor area we need to scale the dimensions
Since 2cm = 1 m
10cm = 5m and 4 cm = 2m
Now calculating the actual area
Area = length × width
= 5×2
=10 [tex]m^{2}[/tex]
Hence the actual area of the living room is 10 [tex]m^{2}[/tex]
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Mr. Giordano's drove 4.5 miles in 5 minutes. Mr. Baras drove 6.3 miles in 8 minutes. Who drove faster? Explain using unit rates for both teachers.
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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Write the equations for the line parallel and the line perpendicular to the given
line passing through the given point.
10. y = 2x + 7; (0, 1)
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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I WILL GIVE BRAINLIEST!! In 1988, each person in the United States threw out, on average, 1.92 pounds of paper and plastic every day. By weight, the amount of paper thrown away was 5 times greater than the amount of plastic. How many pounds of paper was this?
PLEASE SHOW WORK
Answer:
1.92x5=9.6 pounds everyday.
Step-by-step explanation:
Students make 97.5 ounces of liquid soap for a craft fair. They put the soap in 6.5-ounce bottles and sell each bottle for $5.50$. How much do the students earn if they sell all the bottles of liquid soap? Explain.
The students will earn $82.5 if they sell all the bottles of liquid soap.
What is a unitary method?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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How are the solutions to the inequality -2x≥10 different from the solutions to −2x>10? Explain your reasoning.
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:
Write an equation of the line in point-slope form passing through the point and parallel to the given line.3-X + 52(1,-1) y = 2
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:
[tex]y-y_1=m(x-x_1)_{}[/tex]Where
[tex]\begin{gathered} x_1=1 \\ y_1=-1 \\ m=\frac{3}{2} \end{gathered}[/tex]Using these, we have:
[tex]\begin{gathered} y-(-1)=\frac{3}{2}(x-1) \\ \\ y+1=\frac{3}{2}(x-1) \end{gathered}[/tex]A water treatment plant needs to maintain the ph of the water in the reservoir at a certain level. To monitor this, they take 2 oz. Of water at 37 locations every hour, measure the ph at each of those locations, and find their average. If the ph level of the reservoir is ok, the results at each location will have varying results, with an average ph of 8. 5 and a standard deviation of 0. 22. If the ph level of the reservoir is ok, what is the probability that the sample average is less than 8. 42?.
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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three friends ate at a restaurant. they ordered nachos for $19.95 and jalapeno poppers. each friend paid $9.73, not including sales tax or tip, which was one third of the total. determine the cost of the jalapeno poppers. $6.65 $9.24 $18.48 $29.19
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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1 In a recipe, for every cup sugar, 3 cup flour is needed. How many cups of sugar 4 are needed for 1 cup of flour? Write your answers in the blanks. 13334 || = 1/ 3 IL *
I need first 2 blanks then 2 more blanks flilled in.
In the given recipe, 1/3 cup of sugar is needed for 1 cup of flour.
What do you mean by recipe?
A recipe is a set of instructions for preparing a dish or dessert, such as your mother's chocolate chip cookie recipe, which has won numerous awards.
The phrase "recipe" is most frequently used while discussing cookery. It covers both the steps to prepare it as well as a list of the ingredients you'll need. Recipes can be found in cookbooks, newspapers, periodicals, websites, publications, and even passed down via families. A recipe isn't just for cooking; it may also be a formula: the formula for success is a combination of diligence, timing, and a little luck.
As given in the question, In the recipe
For every cup of sugar, 3 cups of flour is needed. we can write it as:
1 cup of sugar = 3 cups of flour
we need to find how many cups of sugar needed for 1 cup of flour.
So, dividing the above equation with 3.
1/3 cups of sugar = 1 cups of flour.
Therefore, In the given recipe, 1/3 cups of sugar is required for 1 cup of flour.
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candy and tim share a paper route. it takes candy 50 min to deliver all the papers, and it takes tim 100 min. how long does it take the two when they work together?
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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Which comparison symbol makes each inequality statement true?
Enter <, >, or = to make each statement true.
Enter your answers in the boxes.
−6.809
−6.812
|−6.809|
|−6.812|
Comparison symbol makes each inequality statement true is −6.809< −6.812.
The given numbers are −6.809 and −6.812.
What is a inequality?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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-3(y + 4) + 4 (2y - 2) simplify
Answer:
7y-20
Step-by-step explanation:
-3y-12+8y-8
7y-20
Answer:
5y - 20
Step-by-step explanation:
Simplify the expression.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
what is the value of 1/2/1/4
Answer:
2
Step-by-step explanation:
all steps are in the picture
An art teacher found that in a bin of markers, of the caps had been left off the markers. of these markers, of them were dried up. use the model to find what fraction of the markers had the lids left off and were dried up.
Answer:
there is no model linked
Step-by-step explanation:
PLEASE HELP
Lanny goes to the bank and puts $4000 in a savings account. He earns a simple interest of 2.5%. If he leaves the money in the account for five years, what is the total amount in the account after the five years?
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).
The borrower may be obliged to pay fees to the lender or another entity, but interest is different.Interest also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve but not at a set rate or proportionally;It is a share of the reward or interest received by risk-taking businesspeople when income is generated that exceeds all expenses.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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Help please:):)
Create a table of data for two different linear functions. The table should use that same values of x for both functions. Based on your table, will the graph of these two functions intersect? Explain your answer
Graph of two linear functions y=2x+7 and y=-x+4 will intersect at (1,5)
What do you means by linear function?
A linear function produces a straight line in the algebraic coordinate plane. It often takes the form of a polynomial function with a maximum degree of 1 or 0.
Calculus and linear algebra are also used to express the linear functions.
The primary distinction can be found in the function notation.
An ordered pair stated in function notation must be understood.
Below is a data table for two distinct linear functions with the identical x values for both functions.
x | y=2x+7 y=-x+4 -3 | 2(-3)+7=-6+7=1| -(-3)+4=3+4=7 -2 | 2(-2)+7=-4+7=3|-(-2)+4=2+4=6 -1 | 2(-1)+7=-2+7=5|-(-1)+4=1+4=5 0 | 2(0)+7=0+7=7 |-(0)+4=0+4=4 1 | 2(1)+7=2+7+9 |-(1)+4=-1+4=3 2 | 2(2)+7=4+7=11|-(2)+4=-2+4=2 3 | 2(3)+7=6+7=13|-(3)+4=-3+4=1
The table demonstrates that the function y = 2x + 7 and the function y = -x + 4 both have values of 5 for x = -1.
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May you guys/girls please help me I have to submit this befoer mid night and I do not fail because my parents will get me , so may y'all please help me out!?
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!!)
in 201520152015 the populations of city x and city y were equal. from 201020102010 to 201520152015, the population of city x increased by 20\ , percent and the population of city y decreased by 10\, percent. if the population of city x was 120{,}000120,000120, comma, 000 in 201020102010, what was the population of city y in 201020102010?
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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[(4•(-2)+(-3)]•(4-2-(-3)
Step-by-step explanation:
hope it helps you
thank you
Write an inequality to represent the following. Five less than twice a number is less than 14.
Answer:
2x-5< 14 is the answer
Step-by-step explanation:
Answer:
2x-5<14
I hope this helps!
Standard to slope intercept form
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 ❞
If m<0 and n > 0, then the product of m and n
Is always even
Is always odd
Is always positive
Is always negative
Cannot be zero, but can be any other real
number
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
Read the question below:
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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Write an equation that represents the line.
Use exact numbers.
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.
PLease help it’s due tomorrow morning
Explain the step that is used to solve the equation
11 = x - 5
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
Solve the question on the image attached. It is not the first option.
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)
The measures of the angles of a triangle
are shown in the figure below. Solve for x.
47°
103⁰
(3x-12)°
Using the sum of angles, we know that the value of 'x' is 14°.
What is the triangle?In Geometry, triangles are the type of polygons, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all three angles of a triangle is equal to 180°.The triangle is contained in a single plane.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:
47+103+3x-12 = 180150 -12 +3x = 180138 +3x = 1803x = 180 - 1383x = 42x = 42/3x = 14°Therefore, using the sum of angles, we know that the value of 'x' is 14°.
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In the New York State Numbers Lottery, you pay $1 and pick a number from 000 to 999. If your number comes up, you win $750, which is a profit of $749. If you lose, you lose $1. Your probability of winning is 000.1.
select all segments parallel to fc
CB
AB
EB
DE
FD
FE
DA
Line segments DA and BE are parallel to FC.
We need to find all the segments parallel to FC.
What are parallel lines?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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Several years ago, Belle invested in some gold. Gold is currently valued at $2,622 per ounce, which is 90% more than Belle originally paid for it. What was the purchase price of the gold?
Answer:
262.20
Step-by-step explanation: she originally payed for 10%=.10
2,622x.10=262.2