A man wants to get the best deal he can for gasoline, so he travels out of his way to buy gas at $2.14 a gallon instead of $2.26, which is the price all his local station. If he put 15.7 gallons in his tank, how much did he save by going to the less expensive station?

Set up the proportion as fractions:

=

First, simplify the left side ratio:

= 30

This means for every 15 units on the left, there are 450 units. To maintain this proportion, the ratio on the right must behave similarly:

30 =

Now, solve for 𝑋X by cross-multiplying:

30⋅𝑋=225

Simplify to find X:

𝑋=​= 7.5

This correct calculation verifies that 𝑋=7.5, matching the proportion given.

Thus, the answer is A. X = 7.5.

To solve the expression given 𝑋=4X=4 and 𝑌=6Y=6, substitute these values into the expression and simplify step by step.

The expression is:

(4𝑋+3𝑌−8)−3(2𝑋−𝑌+2)

Substitute 𝑋=4 and 𝑌=6:

(4⋅4+3⋅6−8)−3(2⋅4−6+2)

Calculate the inner values:

(16+18−8)−3(8−6+2)

(26)−3(4)

Now calculate further:

26−12

This simplifies to: 14

So, the correct answer is: 14

To add the mixed numbers ​ and ​, First add the whole numbers part separately and the fraction part separately

5 + 7 = 12

Now convert the fractions part with a common denominator and then perform the addition.

1. Find a common denominator: The least common multiple (LCM) of 4 and 3 is 12. So, convert each fraction:

= =

= =

1. Add the two fractions:

+ = =

1. Now combine the whole number part with the fraction part

12 + =

Thus, the answer is A 12 7/12.

Use the conversion factor where;

1 kilogram equals 1000 grams.

Given 2 kilograms, the conversion to grams is:

2kilograms×1000grams/kilogram=2000grams

Thus, 2 kilograms is equivalent to 2000 grams.

The correct answer is: B 2,000 grams.