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3 years ago

On a cross-country trip, a car uses 5 gallons of gas for every 120 miles it travels. How many gallons of

Mathematics

2 answers:

Kitty [74]3 years ago

8 0

The car will use 25 gallons of gas. My handwriting is not the neatest

GrogVix [38]3 years ago

6 0

Answer:

Step-by-step explanation:

120 miles / 5 gallons of gas = 24 miles per gallon

1. How many gallons of gas does the car use if it travels 600 miles?

Equation: 600=24x (600 representing miles, 24 miles per gallon)

600=24x

24 24 (cancel out 24 from the right side of equation)

x = 25 gallons

2. How far can the car travel if it uses 30 gallons of gas?

30 gallons x 24 miles per gallon = 720 miles

3. Ratios:

0 gallons : 0 miles (0,0)

1 gallons : 24 miles (1,24)

2 gallons : 48 miles (2,48)

So on so forth...

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2 years ago

Y =3x -1 has a gradient of 3. Write the equation of a line parallel to it

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3 years ago

Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

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2 years ago

Calculate the middle number between 1-5 and 7.1

prohojiy [21]

Answer:

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Step-by-step explanation:

1-5=-4 (7.1+1)-5=3.1

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3 years ago

Read 2 more answers

Between 10 a.M. And 11 a.M., 48 people came into Brad's store. 40 of them made a purchase. What is the experimental probability

irina [24]

Answer: The required probability is $\dfrac{5}{6}$

Step-by-step explanation:

Since we have given that

Number of people came into Brad's store = 48

Number of them made a purchase = 40

So, the experimental probability that the next person to come into the store will make a purchase would be

$\dfrac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\dfrac{40}{48}\\\\=\dfrac{5}{6}$

Hence, the required probability is $\dfrac{5}{6}$

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4 years ago