To rent a bounce house: At Mike's Bounce Shop costs $30 plus $2 per hour. At Jose's Bounce Rentals, it costs $12 plus $8 per hour. After how many hours will the rental cost at both shops be equal? What do your variables represent?Solve the problem using the Equal Values Method. Show your work for finding x AND y.

Answers

Answer 1

Answer: After 3 hours both will have the same cost.

Step-by-step explanation:

Let x = Number of hours and y be the total cost.

Total cost = Initial cost + (cost per hour)(Number of hours)

At Mike's Bounce Shop,

Total cost (y)= 30+2x

At Jose's Bounce Rentals,

Total cost(y) =  12+8x

When both shops have the same cost, then

[tex]12+8x=30+2x\\\\\Rightarrow\ 8x-2x=30-12\\\\\Rightarrow\ 6x=18\\\\\Rightarrow\ x=3[/tex]

Total cost = 12+8(3)=12+24=$36

Hence, After 3 hours both will have the same cost.


Related Questions

90 / 811 = 58 / x


Answer the porportion

Answers

Answer:

x = 522.64

Step-by-step explanation:

cross-multiply:

90x = 811(58)

90x = 47,038

x = 47038 / 90

x = 522.64

Bart runs a food truck in front of a multi-story office building. He wants to know which type of sandwiches his customers prefer, grilled or plain. He randomly surveyed a few of his friends who have eaten at his food truck and recorded the results. Friends Preferring Grilled Sandwiches Friends Preferring Plain Sandwiches 15 5 In this case, the population consists of and the sample consists of . Based on the results, it can be concluded that . The results would have been more accurate if Bart had surveyed .

Answers

Answer:

All of Bart's customers

random friends of Bart who have eaten at his food truck

people prefer grilled sandwiches

a random set of his customers

Step-by-step explanation:

Please mark me brainlyest. I really need it.

The results would have been more accurate if Bart had surveyed a random set of his customers.

We have given that,

Bart runs a food truck in front of a multi-story office building.

He wants to know which type of sandwiches his customers prefer, grilled or plain.

He randomly surveyed a few of his friends who have eaten at his food truck and recorded the results.

What is the meaning of random sampling?

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen.

Therefore we get,

All of Bart's customers

random friends of Bart who have eaten at his food truck

people prefer grilled sandwiches

a random set of his customers

To learn more about the sampling visit:

https://brainly.com/question/24466382

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what is the first step to answer -3=x+5

Answers

Answer:

Step-by-step explanation:

-3=x+5

-5. -5

-8=x

Whatever the person on put

The booster club needs to raise at least $8,000 for new football uniforms. So far, they have raised $1,270. Enter an inequality to find the average amounts each of the 97 members can raise to meet the club's objective. The inequality that represents the situation is

Answers

Answer: See explanation

Step-by-step explanation:

From the question, the booster club needs to raise at least $8,000 for new football uniforms and they've already raised $1,270.

The inequality to find the average amounts each of the 97 members can raise to meet the club's objective will be:

97x ≥ 8000 - 1270

97x ≥ 6730

x ≥ 6730/97

x ≥ 69.38

Please help quick for 25 points with explanations. Any silly and absurd answers will be reported.

Answers

Answer:

Note that the tangents to the circles at A and B intersect at a point Z on XY by radical center. Then, since∠ZAB=∠ZQA and ∠ZBA=∠ZQB. ∠AZB+∠AQB=∠AZB+∠ZAB+∠ZBA=180°. ∴ZAQB is cyclic.But if O is the center of w, clearly ZAOB is cyclic with diameter ZO, so ∠ZQO is 90° ⇒Q is the mid-point of XY.Then, by Power of a Point, PY· PX = PA · PB = 15 and it is given that PY+PX = 11. Thus,PX=(11±[tex]\sqrt{61}[/tex])/2. So, PQ=[tex]\frac{\sqrt{61} }{2}[/tex], PQ²=[tex]\frac{61}{4}[/tex]. Thus, the answer is 61+4=65.

Step-by-step explanation:

write two expressions that are equivalent to -5/4 x - 3/4

Answers

Answer:

-5/4-6/8

-5/8-3/4

-5/8-6/8

Step-by-step explanation:

Two expressions that are equivalent to -5/4 x - 3/4 is,

⇒ - 1/4 (5x + 3)

⇒ - 5/4 (x + 3/4)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ -5/4 x - 3/4

Now, We can write the expression as;

⇒ -5/4 x - 3/4

⇒ - 1/4 (5x + 3)

⇒ - 5/4 (x + 3/4)

Thus, Two expressions that are equivalent to -5/4 x - 3/4 is,

⇒ - 1/4 (5x + 3)

⇒ - 5/4 (x + 3/4)

Learn more about the mathematical expression visit:

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Estimate a 20% tip on a dinner bill of $131.58 by first rounding the bill amount to the nearest ten dollars.

Answers

Step-by-step explanation:

131.58 --> 130.00

130.00 ÷ 10 = 13

13 = 10% of 130

13 x 2 = 26 (20% of 130)

The tip would be $26

Find the measure of angle KMJ

Answers

Answer:

54 Degrees

Step-by-step explanation:

We know that the interior angles of a triangle add up to 180 degrees.

we also know that angle KLM = 48 degrees

and angle JKM = 78 degrees

since these triangles are on parallel lines we know that their angles must be equal (just inverted)

and thus:

180 - (48+78) = 54

I will mark someone brainliest!!! Help me out!

Answers

Answer:

Step-by-step explanation:

I'm not sure if this is completely correct, but:

We have this equation, logarithm base 10 of x, which is equal to y.

This equation can be reorganized like this: [tex]10^{y}[/tex] = x, or 10 to the y power is equal to x.

y represents the power that 10 (the base) is raised to, while x represents the result of  [tex]10^{y}[/tex] (the base to the power of y).

Pentagon A’B′C′D′E’, is the image of pentagon ABCDE under a dilation with a scale factor of 3/2

Answers

This means that it is one and a half times bigger than the original and all you half to do is multiply the original coordinates by one and a half and those will be your new coordinates. I hope this helps as I am unsure of the question.

Answer:4 units

Step-by-step explanation:

Which set of ordered pairs could represent a function?
(12, –3), (12, 0), (12, 8), (12, 7)
(8, 3), (4, 9), (1, 1), (4, 2)
(5, 6), (6, 6), (7, 6), (8, 6)
(5, 5), (7, 7), (9, 9), (11, 12)

C and D both look correct???

Answers

Answer:

I think d is a one on one function while c is a function but a multiple relation function, sorry if im wrong

Marcus bought 7/8 gallon of milk to make smoothies. On Monday he used 1/4 gallon to make a mango smoothie. On Tuesday, he used 1/2 gallon to make blueberry smoothie. How much milk does he have left?

Answers

Answer:

1/8

Step-by-step explanation:

17) –5(x + 2) + 5(x - 5)

Answers

Answer:

=-35

Step-by-step explanation:

-5x-10+5x-25

Answer:

-5x-10+5x-25

x-10=-25

x=-15

Step-by-step explanation:

you distribute both 5s into the problem. one side will be negative 5x minus 2 becomes 10 because negative times a positive is a negative. you're multiply negative 5 times 2 bring down the plus sign. the second part is positive 5x minus 5 which becomes 5x minus 25. you multiply positive 5 times 5 to get that answer for the second part. you combine like terms. positive 5x and negative 5x cancels out to become x-10=-25. add 10 on both sides and x=-15

nala works for 20 hours at $11.50 per hour. how much does she earn

Answers

Answer:

She earned $230.

Step-by-step explanation:

Each hour Nala earns $11.50.

If she works for 20 hours, we can do 11.50*20 to get the amount she earned.

11.50*20 = 230

It’s 230 add 11.50 + 11.50 = 23 per 2 hours multiply that by 10 equals 230

2x3 + 6x2 + 10x + 30. 2(x3 + 3x2 + 5x + 15) 2[(x2 + 5)(x + 3)] (2x2 + 10)(x + 3) (x2 + 5)(2x + 6)

Answers

Answer:
B. 2[(x² + 5)(x + 3)]

Answer:

2[(x^2 + 5)(x + 3)]

Explanation:

Use factoring by grouping to solve this.

(Just took test)

Please help :/ I will give brainiest.

Answers

the answer is D !
yayayayayayyayay

Answer:

Answer is 154inches^2.

Log (x+1)=5

Please help I need to finish this can you please show the steps

Answers

hope this helps! if you don’t understand feel free to clarify

I NEED HELP FOR THIS PLEASE sushensnsjskdnsndjdndndn

Answers

Answer:

Step-by-step explanation:

y=-1/4x-13/4

now put any value for x, then u get a y value. Then find the points on the graph.

please help with this question!

Answers

9514 1404 393

Explanation:

If the amount of change due to rounding is the same for both numbers, the original difference and the difference of rounded values will be the same. This will always be the case if the hundredths digits are the same to start with.

Example:

  A = 0.56 ⇒ C = 0.6

  B = 0.66 ⇒ D = 0.7

__

B - A = 0.66 -0.56 = 0.10

D - C = 0.7 -0.6 = 0.10 . . . . . same as B - A, ∴ Dominic is incorrect.

help help plss:(((((

Answers

28.9 is the sale price

Answer:

28.9

Step-by-step explanation:

do 85 times 0.34

please help, i need help with solving!

Answers

Answer:

Your answer is

x=3.6

y= 0.4

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

Answer:

x = 3.6, y = 0.4

Step-by-step explanation:

make x the subject in equation 1:

x = 4 - y (equation 3)

substitute equation 3 into equation 2:

2(4-y) - 3y = 6

8 - 2y - 3y = 6

8 - 6 = 5y

2 = 5y

y = 2/5

y = 0.4

substitute (y=0.4) into equation 3:

x = 4 - 0.4

x = 3.6

Help please!!!!!!! Math

Answers

Answer:

y=15

Step-by-step explanation:

u can find y int by making the value of x=0

so

0^2-5*0+15=y

y=15

Triangle ABC is reflected over the line y = 1. What are the coordinates of B'? (–2, 3) (–2, 5) (2, –3) (4, –3)

Answers

Answer:

(-2,5)

Step-by-step explanation:

From the figure in the attachment it is clear that when point B will be reflected about the line y= -1. The point B becomes (-2,5)

Answer:b-(-2,5)

Step-by-step explanation:

Target is having a huge winter season sale on all of their televisions. A 42in screen tv that usually retails at $580 is marked down by 20%. If you brought $450 to the store, do you have enough money to buy the tv? Explain your reasoning.

Answers

Answer: You do not because the tv costs $464.

Step-by-step explanation:

First find out how much 20% of 580 is:

= 20% * 580

= $116

The television was therefore marked down by $116. The current selling price is:

= 580 - 116

= $464

Since you came with $450, you will not be able to buy the television as you would be short of the $464 required.

what are the three choices equivalent to 27^4/3

a. 4^3
b. (27^1/3)^4
c. 3^1/4
d. 81
e. 3 √4
f. (^3 √27)^4

Answers

the answers are B,D and F

PLEASE HELP WITH THIS QUESTION, ILL MARK BRAINLIEST

Answers

Answer:

Step-by-step explanation:

35-original drill set price

25% or .25-the additional price

markup in decimal form- 0.25

markup in percent form- 25%

Equation-35 + 25% or 0.25

35 + 25% = 43.75


[tex] - 4 \leqslant 5x + 1 < 11[/tex]
i don't know how to slove it,please answer it​

Answers

Bdhdhdhfurjfjdhdhdhdhd

Mike discovered that the pool in his backyard is leaking slowly. The pool holds 17,897 gallons of water, and is leaking at a rate of 5 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 187 days?

Answers

Answer:

Gallons of water remaining = 16,962 gallons

Step-by-step explanation:

Total capacity of the pool = 17,897 gallons

Rate of leakage per day = 5 gallons

Number of days = 187 days

how many gallons of water will remain in the pool after 187 days?

Gallons of water remaining = Total capacity of the pool - (Rate of leakage per day × Number of days

= 17,897 - (5 × 187)

= 17,897 - 935

= 16,962 gallons

Gallons of water remaining = 16,962 gallons

Rewrite in simplest terms: -8(7y-8)-3(7y-7)

Answers

Answer:

−77y+85

I hope I helped!

A bucket holds 10 liters of water. If a ladle can scoop out of a 1/2 liter, how many scoops will it take to
empty the bucket?

Answers

Answer:

73899

Step-by-step explanation:

Answer: It's 20 scoops

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