A mailman delivers mail to 675 households. Yesterday he delivered a total of 5,400 pieces of mail on his route. What was the average number of pieces he delivered to each household? (Enter numeric value only. Round to whole number.)

To solve the proportion = , use cross-multiplication:

45×105=35×𝑋

Calculate the left side:

45×105=4725

Now set up the equation:

4725=35𝑋

Solve for X by dividing both sides by 35:

𝑋= = 135

Thus, the value of X is 135.

Given X is the divisor and 12 is the dividend;

Then= 4

Rearranging the equation to make X the subject.

X = = 3

The correct answer is: A 3

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 solve for the proportion, first write the given proportions in fraction format as follows:

=

Now, solve for X by cross-multiplying:

0.3×𝑋=2×15

0.3X=30

Divide both sides by 0.3 to isolate X:

X =

X = 100

The correct answer is 100