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Eduardwww [97]
3 years ago
12

3 A Gas station A charges $3.50 per gallon of gas plus 58 for a car wash. Gas station B charges $3.25 per gallon of gas plus S10

for a car wash. How many gallons of gas must a customer purchase for the total cost to be the same at both gas stations? ​
Mathematics
1 answer:
Hoochie [10]3 years ago
4 0

9514 1404 393

Answer:

  8 gallons

Step-by-step explanation:

The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...

  $2/($0.25/gal) = 8 gal

to make the costs the same.

The customer must purchase 8 gallons for the total cost to be the same at both gas stations.

___

  3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash

  0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides

  g = 2/.25 = 8 . . . . . . the way we did it above

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Jorge bought 6 large balloons for a party. This was 25% of all the balloons he bought. How many total balloons did Jorge buy sho
riadik2000 [5.3K]

Answer:

The answer would be 24 balloons in total.

Step-by-step explanation:

Jorge bought 6 large balloons, which was 25% of ALL the balloons he bought.

Meaning that since 6 is 25% of the number 24, he bought 24 balloons in total.

PROOF:

25% * 24 = 6

24 / 6 = 4

6 * 4 = 24

<h2>Mark me Brainliest Please.</h2>
8 0
3 years ago
Six over n equals twenty-one over twenty-eight<br> A. 13<br> B. 9<br> C. 8<br> D. 15
podryga [215]
C. Or 8, trust!!!!!!!!!
3 0
3 years ago
Find the surface area of the
katrin2010 [14]

Answer:

the surface of hexagonal prism is 12 cm

8 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH MY GEOMETRY HOMEWORK!!!! I DON'T UNDERSTAND WHAT I'M SUPPOSED TO DO SO CAN SOMEONE PLEASE HELP M
MAVERICK [17]

Answer:

  see attached

Step-by-step explanation:

Dilation is the transformation that changes the size of something. When you choose ×110% on a copy machine, you are making all the dimensions in the copy equal to 1.1 times the dimensions of the original, for example. That is dilation by a factor of 1.1, or 110%.

Here, you're asked to dilate triangle ABC by a factor of 3. That means all of the dimensions on the dilated figure will be 3 times their length on the original.

The center of dilation is point P. That means all the distances from point P are multiplied by 3.

In the attached figure, a gray arrow has been drawn from point P to each of the points A, B, and C. Then two more arrows of the same length are drawn in the same direction. The total distance at the end of the 3 arrows is 3 times the original distance from point P. These are the points A', B', and C' you are asked to draw. Connecting these points gives the dilated triangle A'B'C'.

___

You could think of point P (the center of dilation) as having coordinates (0, 0). Then points A, B, and C would have coordinates A(-4, 0), B(0, -3), and C(-4, -3). To dilate these points by a factor of 3, multiply each coordinate value by 3: A'(-12, 0), B'(0, -9), C'(-12, -9). You will see that these are the coordinates of the vertices of the dilated triangle.

4 0
3 years ago
A truck uses 1 gallon of diesel for every 12 miles traveled. The amount of diesel left in the gas tank, r gallons, after traveli
Snezhnost [94]

<em>The question has missing details. However, general questions that could be asked is as follows:</em>

<em>(1) The number of miles traveled after using (say) 5 gallons</em>

<em>(2) The number of gallons used after traveling for (say) 36 miles</em>

Answer:

See Explanation

Step-by-step explanation:

Given

s = 120 - 12r

A linear equation is represented as:

y = c + mx

Where

c =y\ intercept and

m = slope.

c, in this question represents the initial capacity of the tank.

So, the initial capacity is 120 liters

Solving (a): r = 5

s = 120 - 12r

s = 120 - 12 * 5

s = 120 - 60

s = 60

<em>60 miles traveled</em>

Solving (b): s = 36

s = 120 - 12r

36 = 120 - 2r

Collect like terms

2r =120 -36

2r =84

Solve for r

r = 42

<em>42 gallons used</em>

4 0
3 years ago
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