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3 years ago

An old truck has a fuel efficiency rating of 12 mpg. What is the cost

Mathematics

1 answer:

andrew-mc [135]3 years ago

5 0

Answer:

The cost of 5 gallons of fuel would be 5x assuming the cost of 1 gallon to be x.

Step-by-step explanation:

An old truck has a fuel efficiency rating of 12 mpg.

We have to find the cost of gasoline that will be used up after we drive 60 miles.

To drive 60 miles , it uses 5 gallons.

let the cost of 1 gallon of fuel be x.

We have to find the cost of 5 gallons of fuel.

So the cost of 5 gallons of fuel = 5 $\times coat of 1 gallon of fuel$

= 5x

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What is the simplified expression for,

Nostrana [21]

Here are a few rules you need to know for this equation:

Multiplying exponents of the same base: $x^m\times x^n=x^{m+n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Turning a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m$

So this is our algebraic expression: $\frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}$

Firstly, multiply 3^-4 and 3^2: $\frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}$

Next, divide:

$\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}$

Next, turn the negative exponent into a positive one: $3^12^{-1}= \frac{3}{2}$

Your final answer is 3/2, or 1.5.

6 0

3 years ago

PLZ HELP ME!!!!!!!!!!!!!!!

KIM [24]

Answer:

B. Arithmetric

Step-by-step explanation:

5 0

3 years ago

On a coordinate grid, both point (−4, −1) and (2, 6) points are reflected across the y-axis. What are the coordinates of the ref

ella [17]

Answer:

option 4

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 4, - 1 ) → (4, - 1 )

(2, 6 ) → (- 2, 6 )

8 0

3 years ago

You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar an

lisabon 2012 [21]

Let
x-->volume of white vinegar you need to add to the mixture (measured in cups)
then
the amount of the pure vinegar in the mixture will be -----> (10*0.1 + x) cups
the volume of liquid will be ---------> 10 + x
the concentration equation is-------> [(10*0.1 + x)/(10+x)]=0.50multiply both sides by (10+x) and then simplify

(10*0.1 + x)=(10+x)*0.50-----------> 1+x=5+0.50x-------> 0.50x=4
x=8

the answer is
you need to add 8 of a cup of the pure vinegar to the mixture

7 0

3 years ago

The slope of GA is -5. Find the slope of the line perpendicular to the given line

Temka [501]

Perpendicular slopes are opposite reciprocals.

This means the slope of the line perpendicular to GA will be the opposite reciprocal of -5.

Reciprocal of -5: -1/5

Opposite of -1/5: 1/5

The slope of the line perpendicular to GA is 1/5.

5 0

3 years ago