MATHEMATICS HIGH SCHOOL

A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles.

Answers

Answer 1

Answer:

Answer: The Van needs 18 gallons of gas to travel 360 miles.

Step-by-step explanation: Given that a Van travels 300 miles on 15 gallons of gas.

We are to find the number of gallons that the Van needs to travel 360 miles.

We will be using the UNITARY method to solve the given problem.

Number of gallons needed to travel 300 miles = 15.

So, number of gallons needed to travel 1 mile will be

$(15)/(300)=(1)/(20).$

Therefore, the number of gallons needed to travel 360 miles is given by

$(1)/(20)* 360=18.$

Thus, the Van needs 18 gallons of gas to travel 360 miles.

Answer 2

Answer:

Amount of gas required to travel $360\text{ miles}$ is $\boxed{\bf 18\text{\bf\ gallons}}$ .

Further explanation:

The word problems can be solved from the unitary method.

The unitary method is a method in which we have to first find the value of a single unit then further find the required value by multiplying the single unit value.

Given:

A van travelled $300\text{ miles}$ on $15\text{ gallon}$ of gas.

Calculation:

Step 1:

First we have to find the number of gallons in one mile.

It is given that the number of gallons needed to travel $300\text{ miles}$ is equal to $15\text{ gallon}$ .

Use the unitary method to calculate the number of gallons in one mile.

It is calculated as follows:

$\begin{aligned}\text{Number of gallon}&=(15)/(300)\n&=(1)/(20)\end{aligned}$

Step 2:

Now, we have to calculate the number of gallons needed to travel in $360\text{ miles}$ .

Use the unitary method to calculate the required value by multiplying the single unit value.

The number of gallons in one mile is $(1)/(20)$ .

Therefore, the number of gallons in $360\text{ miles}$ is calculated as follow:

$\begin{aligned}\text{Number of gallon}&=(1)/(20)\cdot 360\n&=18\end{aligned}$

Thus, the Van requires $\boxed{\bf 18\text{\bf\ gallons}}$ of gas to travel $360\text{ miles}$ .

Learn more:

1) Learn more about magnitude of the acceleration of the speeding phase brainly.com/question/1597065

2) Learn more about Algebraic expression for the word phrase isbrainly.com/question/1600376

3) Learn more about to solve the equations for the variable brainly.com/question/1682776

Answer details:

Grade: Junior school

Subject: Mathematics

Topic: Unitary method

Keywords: Van, gallons of gases, miles, travels, number of gallons, unitary method, multiply, single unit, linear equation, distance, equation.

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Answers

Answer: Q1 : 6, Q3 : 16, Min : 4, Max : 16, Med : 12

Step-by-step explanation:

I hope this helps. Here is a more clear answer

Minimum : 4

Maximum : 16

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Quartile 3 : 16

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Which statements are true about the linear inequality y > 3/4 x – 2? Check all that apply.The slope of the line is –2.

The graph of y > 3/4 x – 2 is a dashed line.

The area below the line is shaded.

One solution to the inequality is (0, 0).

The graph intercepts the y-axis at (0, –2).

Answers

The correct statements regarding the inequality given above are as follows:

The area below the line is shaded since it is an inequality with a number of possible solution. The graph intercepts the y-axis at (0, –2) as seen from the equation above.

Hope this answers the question.

Answer:

The area below the line is shaded

since it is an inequality with a number of possible solution.

The graph intercepts the y-axis at (0, –2) as seen from the equation above.

Step-by-step explanation:

An isosceles triangle has two sides of equal length. The third side is 5 less than twice the length of one of the other sides. If the perimeter of the triangle is 23 cm, what is the length of the third side?Explain how you would define a variable for this problem.

Answers

let's take one side of the two equal lengths as r
third side is s.
so the total perimeter is r + r + s
2r + s = 23

According to the statement of third side s,
5 less than twice the length of one of other
s = 2r - 5

we have 2 equations and 2 unknowns. so we can find out the values of those letters.

2r + s = 23
2r - s = 5

4r = 28
r = 7

s = 9
Therefore the third length will be equal to 9 cm.

Answer:

x+x+(2x-5)=23

Step-by-step explanation:

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Answers

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Answers

The equation of the unit circle:
$x^2+y^2=1$

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x is equal to $-(√(6))/(3)$ or $(√(6))/(3)$ .

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Answers

The correct answer :

a = not viable

b = 265

c = 0

Answer: a=Not viable,b=265,c=0

Step-by-step explanation: Just did it.

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