45:X=35:105

Find the value of X. (Enter the whole number only.)

A.

135
B.

150
C.

120
D.

130


Correct Answer : A

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.


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Related Questions

Correct Answer is A

Explanation

To solve the proportion 15/3=𝑋/5​, you can use cross-multiplication:

15×5=3×𝑋

Calculate the left side:

15×5=75

Now set up the equation:

75=3𝑋

Solve for X by dividing both sides by 3:

𝑋=75/3=25

Thus, the value of X is 25.

Correct Answer is B

Explanation

To convert the decimal 0.16 to a fraction, follow these steps:

  1. Write it as a fraction of 1:

0.16=

  1. Multiply both the numerator and the denominator by 100 to eliminate the decimal places (because there are two decimal places in 0.16):

=

  1. Simplify the fraction by finding the greatest common divisor (GCD) of the numerator and the denominator: The GCD of 16 and 100 is 4, so divide both the numerator and the denominator by 4:

=

The correct fraction representation of 0.16 is therefore ​.

So the answer is B 4/25.

Correct Answer is A

Explanation

The product of X and 24 is mathematically represented by multiplying X by 24, which is:

24𝑋

Therefore, the correct answer is: A 24X

Correct Answer is A

Explanation

Divide the total number of pieces of mail by the number of households:

Totalpiecesofmail=5400

Totalhouseholds=675

Now, calculate the average:

Average=

Using a calculator:

Average=8

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