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Darina [25.2K]
3 years ago
9

A car can travel 340 miles on 10 gallons of gasoline. How much gasoline will it need to go 510 miles?

Mathematics
2 answers:
CaHeK987 [17]3 years ago
4 0

Answer:

The answer to your question is 15 gallons

Step-by-step explanation:

Data

distance 1 = 340 mi

volume 1 = 10 gal

distance 2 = 510 mi

volume 2 = ?

Process

To solve this problem we know that there is a direct proportion between the distance traveled and the gasoline used. The more distance traveled, the more gasoline used.

                             340 mi ---------------------- 10 gal

                              510 mi  ---------------------  x

                              x = (510 x 10)/340

                              x = 5100/340

                              x = 15 gallons

Lera25 [3.4K]3 years ago
3 0

Answer:

15

Step-by-step explanation:

340/10=510/15

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4 for 11.99

Step-by-step explanation:

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A homeowner is draining her swimming pool. The volume of water in the pool changes by −12 gallons every minute. What is the chan
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-12*60= -720 gallons

Step-by-step explanation:


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4 years ago
Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
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Functions are used to represent graphs, and vice versa.

The function represented by the graph is f(x) =- |x + 4| + 3

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

f(x) =a |x - h| + k

Where

Vertex = (h,k)

The vertex is the minimum or the maximum point on the graph.

So, we have:

Vertex = (-4,3)

The function becomes

f(x) =a |x + 4| + 3

The function also passes through the point (-1,0).

So, we have:

0 =a |-1 + 4| + 3

0 =a |3| + 3

Remove the absolute bracket

0 =3a + 3

Subtract 3 from both sides

3a =- 3

Divide both sides by 3

a =- 1

Substitute -1 for (a) in f(x) =a |x + 4| + 3

f(x) =- |x + 4| + 3

Hence, the function represented by the graph is f(x) =- |x + 4| + 3

Read more about absolute value graphs at:

brainly.com/question/3381225

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1. Sarah went to dinner, and the bill was $15.25. She left a 15% tip. How
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Step-by-step explanation:

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Katherine bought snacks for her team's practice. She bought a bag of chips for $2.70 and a 12-pack of juice bottles. The total c
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1. A system of equations to determine the cost of a bottle of juice, is <u>12x + 2.70 = 15.78</u>.

2. From the equation, x = $1.09.

<h3>What is an equation?</h3>

An equation is a mathematical statement that shows that two values are equal.

A system of equations uses numbers and variables.

<h3>Data and Calculations:</h3>

The cost price of a bag of chips = $2.70

The total cost of snacks = $15.78

The total cost of 12-pack of juice bottles = $13.08 ($15.78 - $2.70)

Therefore, a bottle of juice = $1.09 ($13.08/12)

<h3>Equations:</h3>

Let a bottle of juice = x

Total cost of snacks = $15.78

2.70 + 12x = 15.78

or 12x + 2.70 = 15.78

12x = 13.08

x = 1.09 (13.08/12)

Learn more about equations at brainly.com/question/2972832

#SPJ1

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