Which expression shows the prime factorization of 100

The value of x that will make both equations to be equivalent to each other is = -56

From the equation:

0.75(x + 20) = 2 + 0.5(x - 2)

Open brackets

0.75x + 15 = 2 + 0.5x - 1

Collect like terms

0.75x - 0.5x = 2 - 1 - 15

0.25x = - 14

Divide both sides by 0.25

x = -56

Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56

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0.75(x+20)=2+0.5(x-2)

Distribute on both sides

0.75x+15= 2+0.5x-1

Add common factors

0.75x+15=1+0.5x

Subtract 0.5x on both sides

0.25x+15=1

Subtract 15 on both sides

0.25x=-14

Divide by 0.25 on both sides

x = -56

Answer:

d

Step-by-step explanation:

the circumference of the moon is 10,921 km

Final answer:

A rectangle divided into 8 parts, with 2 parts shaded, represents the fraction 2/8, which can be simplified to 1/4 or expressed as a decimal, 0.25.

Explanation:

The student's question is related to the concept of fractions in mathematics. In this case, a rectangle is divided into 8 equal parts and the two of these parts are shaded. The fraction that represents the shaded area of the rectangle is therefore 2/8.

However, it's important to note that fractions can be simplified to their lowest terms. Both the numerator (the top number) and the denominator (the bottom number) of the fraction 2/8 can be divided by the common factor of 2. When you do this, you get 1/4.

So, the fraction that is equivalent to the shaded area of the rectangle is 1/4 or 0.25, when expressed as a decimal.

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