A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot house. Write an equation in slope-interceptiom to represent the total cost, y, to clean a house with x square feet. Then, find the total cost to clean a house that is 4500 square feet.​

Answers

Answer 1

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185


Related Questions

find the points where the graphs of y=1-x and y=x-3 intersect algebraically

Answers

Answer:

The point of intersection is (2, -1).

Step-by-step explanation:

At the point of intersection both equations have same value of x and y.

y = x - 3

y = 1 - x

Since the 2 right sides are both = y:

x - 3 = 1 - x

x + x = 1 + 3

2x = 4

x = 2.

Substituting for x in equation 1:

y = 2 - 3 = -1.

Teresa is making sock puppets just like the one in the photo. If she has 53 buttons and how many puppets can she make?

Answers

Answer:

How much buttons is on it.

Step-by-step explanation:

If three you can make 17 puppets.

alright guys last one for today :))) plzz help

Answers

Answer:

o noooo why

Step-by-step explanation:

help me plsssss yes plssss❤️❤️

Answers

Answer:

17 feet

Step-by-step explanation:

2-(-15)

=17 feet

PLS GIVE BRAINLIEST

Answer:

17 feet

Step-by-step explanation:

15 + 2 = 17

Find the missing length in the image below. Will give brainliest!!!

Answers

Answer:

I think the answer is 169

What is the length of BC?
A) 9 units
B) 11 units
C )15 units
D) 16 units

Answers

Answer:it’s a or c

Step-by-step explanation:

Hope this helped have a good day stay safe

Answer:

C. 15 units

Step-by-step explanation:

I'm sorry if this is a late answer but I hope other people can find this helpful :)

In circle C what is angle 2

Answers

Answer:

33 degrees.

Step-by-step explanation: Half of a circle is 180 degrees. If we view the half of circle with angle C on it we can see the other part of the half of circle is 147 degrees. Since we know half a circle is 180 degrees, we subtract our known variable from 180 to get our unknown angle C, 33 degrees.

What is the slope of the line?

Answers

Answer:

2

Step-by-step explanation:

Slope (m) is equal to the change in the y-coordinate divided by the change in the x-coordinate.

The change in y= 6

The change in x= 3

6/3 =2

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Naomi has earned $63 mowing lawns the past two days. She worked 1 hours yesterday and 3 hours
2
today: If Naomi is paid the same amount for every hour she works, how much does she earn per hour to
mow lawns?
Naomi earns S
per hour

Answers

Answer:

15.75 per hour

Step-by-step explanation:

$63/4 Hours = 15.75

Which of the tables is a function?
PLEASE HELP
15 POINTS
or Brainlist answer!!!

Answers

Answer:

I say C is your best answer because it might be a typo

Can I get help finshing all these qustions 1. -4(6) 2. -21-8) 3. 121-4) 4. -6(5) 5. -10(-9) 6. -(5) 7. (-5) 8. -30(5) 9. 20(-6) 10. -14(-6) 11. (-13)2 12. –7(15) 13. -3(4) 14. 7(-3) 15. 3(-3) 16. -2(-10) 17. (-5)(-3)(4) 18. -3(-3)(4) 19. -3(-5) 20. 5(-3) 21. 7(-5)(4) 22. -2(-5)(-3) 23. – 10(-3) 24. -21-3)

Answers

Answer:

1. -4(6)= -24

2.-21-8= -29

3. 121-4 =117

4. -6(5) =-30

5. -10(-9)= 90

6. (-5)7= -35

7. (-5)8= -40

8. -30(5)= -150

9. 20(-6)= -120

10. -14(6)= -84

11. (-13)2 = -26

12. –7(15) = -105

13. -3(4) = -12

14. 7(-3) = -21

15. 3(-3) = -9

16. -2(-10) = 20

17. (-5)(-3)(4) = 60

18. -3(-3)(4)= 36

19. -3(-5) = 15

20. 5(-3) = -15

21. 7(-5)(4) = -140

22. -2(-5)(-3)= -30

23. – 10(-3)=30

24. -21-3= -24

Explanation:

We have followed the rules in adding and subtracting negative as well as positive values on the number line.

When adding two negative values, the result is a negative value.

When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value

When multiplying two negative values, the result is a positive value

When multiplying one negative and one positive value, the result is a negative value

To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.

While mining, Nancy found a large metal bar that contained 38 pounds of gold. Nancy also determined that the bar was 95% gold. What was the total weight of the metal bar in pounds?

Answers

Answer:

56%

Step-by-step explanation:

Can someone please help me with all the questions?

Answers

Answer:

Here you go. It was much simpler than it looked.

Explanation:

[tex]Start\\ a^{2}+b^{2}=c^{2}\\ 9^{2}+12^{2}=c^{2}\\ 81+144=c^{2} \\ 225 = c^{2} \\ \sqrt{225} = \sqrt{c}^{2}\\ 15 = c\\ c = 15[/tex]

Consider Brainliest! Hope I helped!

Graph the linear equation 7x - 3y = -21.

Answers

Answer:-21

Step-by-step explanation:

Answer: ok...

Step-by-step explanation:

Please help me, I really need help

Answers

Answer:

23

Step-by-step explanation:

Answer:

23 games.

Step-by-step explanation:

According to the graph, there are 17 whistles, where each whistle counts as 2 games.

17 * 2 = 34 games in Kylie's first 6 months.

She worked a total of 45 games in the entire year.

45 - 34 = 11 games.

Therefore, Kylie worked 11 games for the rest of the year.

They are asking how many MORE games did she work in the first 6 months than she did during the rest of the year.

34(first 6 months) - 11(rest of the year) = 23 games more.

Show the check. 3B -12/3B + 12 = -2 + 1B + 6
The solution to this problem is B=4
But I don’t know how to check the answer, please help and explain, PLEASE!

Answers

Answer:

i got 4

Step-by-step explanation:

thats all i could tell u i don't know how to explain it nor check it but i got 4 so thats all i can tell u bestie sorry

What is the best estimate of the perimeter of this figure?

On a coordinate plane, a figure is 27 units around.
18 units
21 units
27 units
31 units

Answers

The approximate perimeter of the figure is 27 units

The perimeter of the quadrilateral

From the given diagram, the perimeter is the sum of all the sides in units

Since one square box is equivalent to 1 unit, hence the perimeter is expressed as:

Perimeter = 9 units + 5 units + 3units + x

x is the slant sides

The perimeter of the figure = 27 units (x is approx 10 units)

Hence the approximate perimeter of the figure is 27 units

Learn more on perimeters here: https://brainly.com/question/22447290

Answer:

C,3 or 27 units

Step-by-step explanation:

The approximate perimeter of the figure is 27 units

9x - 60 = 18 + бх
What value of x makes this equation true?

Answers

Answer: x=26

Step-by-step explanation: first you would subtract 6 from both sides.

Next, you would add 60.

Lastly, you would divide both sides by 3.

So your answer is 26.

Answer:

x=26

Step-by-step explanation:

step 1: simplify both sides of the equation

step 2:subtract 6x from both sides

step3:add 60 to both sides

step4:divide both sides by 3

convert
[tex] - \frac{\pi}{5} [/tex]
into degrees

Answers

-36 degress. 180 over pie equals -36.

Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12

Answers

Answer:

x-intercept= 6

y-intercept= 4

Step-by-step explanation:

Solve for x first then solve for y.

If you can make my answer brainliest that would be much appreciated. Thanks!

The x- and y-intercepts of the linear equation

2x + 3y = 12 are (6, 0) and (0, 4).

What is a linear equation?

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Given, A linear equation 2x + 3y = 12.

To obtain the x-intercept we'll make y = 0 in the equation which is,

2x + 3(0) = 12.

2x = 12.

x = 6.

So, The x-intercept is (6, 0).

To obtain the y-intercept we'll make x = 0 in the equation which is.

2(0) + 3y = 12.

3y = 12.

y = 4.

So, The y-intercept is (0, 4).

learn more about x-intercept and y-intercept here :

https://brainly.com/question/14180189

#SPJ2

Find the Valué of X when lines W and V are parallel.



A. 15.5


B. 17


C. 23.25


D. 29.5

Answers

The answer is C. 23.25

Help me or give me answer key plz I’m doing Desmos Quadratic Transformations – Part 1 I’m dum

Answers

Answer:

While the slider moves to the right the point change also. You can see that the points will decrease and increase again.

URGENT!!! WILL MARK BRAINLIEST!
Find the measure of Angle DBE then find the measure of ∠ABD?

Answers

Answer:

m<DBE =50°

m<ABD=150°

Step-by-step explanation:

Because of Straight Angles, All the angles will add up to 180 degrees

Let x be m<DBE

40+x+70+20=180

x+130=180

x=50

m<DBE will be 50 degrees

To find the m<ABD, we add m<FBA, m<FBE, m<DBE.

70+50+30=150

m<ABD = 150

Answer:

angle DBE=

Step-by-step explanation:

We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.

Now, 90-40=50 (angle DBE's measure)

Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.

HTH :)

You are seeking to be emancipated from your parents. You are looking for an apartment. There are two final choices. Apartment A has a $1000 security deposit and costs $1200 each month. Apartment B has a $1500 security deposit and costs $1175 each month. How many months, m, will it take for the costs to be the same?

Answers

Answer:

20 months

Step-by-step explanation:

Initial difference = 500$

Monthly difference = 25$

500 / 25 = 20

What's the definition: A statement that compares two quantities, using the symbol < or > *

Answers

Answer:

i think the answer is inequality

rewrite this equation in the form y=ax+b

2y=4x-8

Answers

Answer: y = 2x - 4

Divide each side of the equation by 2 in order to isolate y.

What is the value of x in the figure below?





Answers

Answer:

hi I don't know the answer of this question but I hope anyone will answer your this question as fast as possible and iam taking free points because I needed to ask one question from someone that's why I really sorry and thank you so much for free points

I need this answer ASAP!!

Answers

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

I have to reduce the fraction 49/35 using factor trees

Answers

Answer:

The fraction 49/35 reduced is: 1  14/35

Step-by-step explanation:

Please show your work for this question

Answers

Answer:

22.4

Step-by-step explanation:

A car is driving down the road and goes 500 miles in 10 hours.

So,

d = 500 miles = 804672 metres

t = 10 hours = 36000 minutes

∴ v = d ÷ t

v = 804672 ÷ 36000

v = 22.352

∴ v = 22.4 m/s

Thus, His Velociy was 22.4 m/s

-TheUnknownScientist

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