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sdas [7]
3 years ago
12

Lulu is taking a road trip to visit family. Her car has a 20-gallon gas tank and the car uses 12 gallons to travel 216 miles.

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

<u>The answer is G = 20 - m/18, but none of the answers given is correct.</u>

Step-by-step explanation:

1. Let's review the information given to us to help Lulu to answer the question correctly:

Capacity of the gas tank of Lulu's car = 20 gallons

Lulu can travel 216 miles using 12 gallons

2. Which linear equation represents the number of gallons of gas, G, left in the tank after driving m miles?

G = number of gallons left in Lulu's car

m = Miles driven by Lulu

miles per gallon = 216/12 = 18 miles per gallon

Now, we can write the linear equation, this way:

G = Capacity of the gas tank of Lulu's car - miles driven/miles per gallon

Replacing with the values we know:

<u>G = 20 - m/18</u>

Let's assume Lulu drives 180 miles, using our linear equation, we have:

G = 20 - 180/18

G = 20 - 10 = 10 gallons left

Let's assume Lulu drives 54 miles, using our linear equation, we have

G = 20 - 54/18

G = 20 - 3 = 17 gallons left

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3 years ago
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IrinaVladis [17]

Let s represent the measure of the second angle.

The measure of the first angle is 15° less than the second, so we can represent the first angle by (s-15).

The measure of the third angle is 45° more than half the second, so we can represent the third angle by (45+(s/2)).

The sum of these angles is 180°, so we can represent the sum as

... (s-15) + s + (45+s/2) = 180

Collecting terms, we have

... 2.5s +30 = 180

... 2.5s = 150 . . . . . . subtract 30

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The first angle is 60-15 = 45.

The second angle is 60.

The third angle is 45+60/2 = 75.

_____

<u>Check</u>

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3 years ago
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anastassius [24]

Answer:

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Step-by-step explanation:

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Perpendicular line have gradients that, when they are multiplied, they are equal to -1

The line given multiplied by the gradient of the line(the one required to find)= - 1. That is 5/2×line= -1.

Dividing both sides of the equation by 5/2 you'll get - 2/5. This is the gradient of the line required.

Using the general formula y=mx+c substitute the gradient into the equation. You'll get something like this y= -2/5x+c.

Substitute the given point into the equation. You'll get something like this 3= -2/5(5)+c.

Calculate the value of c. You'll get c=5.

Substitute the value of c into the original equation. You'll get something like this y= -2/5+5

This is the equation: y= -2/5+5

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Answer:

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Step-by-step explanation:

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