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2 years ago

15. Which expression shows the sum of 72 and 96 as the product of the GCF

1 answer:

3 0

Here, we are required to determine which expression shows the sum of 72 and 96 as the product of the GCF and a sum of two numbers with no common factor?

The answer is Choice B: 24(3 + 4)

Factors of 72 are;

2 × 2 × 2 × 3 × 3

Factors of 96 are;

2 × 2 × 2 × 2 × 2 × 3

The factors in bold above are common to 72 and 96 and therefore gives a total of 24 which is the GCF of 72 and 96.

The remaining factor of 72 and 96 are 3 and 4 respectively.

And, since 3 and 4 have no common factor,

Therefore, the expression which shows the sum of 72 and 96 as the product of the GCF

and a sum of two numbers with no common factor is:

24(3 + 4)

Read more:

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$\checkmark \text{B. The area of the circle is } 729\pi,\\\checkmark \text{D. The arc length of the sector is } 12\pi$

Step-by-step explanation:

Area of a circle with radius $r$ : $r^2\pi$

Circumference of a sector with radius $r$ : $2r\pi$

Area of sector with angle $\theta$ : $r^2\pi\cdot \frac{\theta}{360}$ .

Arc length of sector with angle $\theta$ : $2r\pi\cdot \frac{\theta}{360}$

Using these equations, we get the following information:

Area of circle: $27^2\pi=729\pi$

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Area of sector: $27^2\pi\cdot \frac{80}{360}=162\pi$

Arc length of sector: $2\cdot 27\cdot \pi \cdot \frac{80}{360}=12\pi$

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2 years ago

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mestny [16]

Answer:

The answer is 27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3y+6+3)=196−16

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6y+12+6=196+−16

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Step-by-step explanation:

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3 years ago

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