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Naddik [55]
3 years ago
11

The pairs 3, 12 and 4, 9 are factor pairs of which number? A) 32 B) 36 C) 44 D) 82

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0

Answer:

When factorizing one number, what you get are other numbers that, when they get multiplied, the result of the product is the first number.

In our case, the pair of 3, 12 and the pair of 4, 9 are factors of 36, as it's the number we get when multiplying them:

  • 3 * 12 = 36
  • 4 * 9 = 36

We can factroize 36 like this: 2*2*3*3, and:

  • 2 = 2
  • 4 = 2*2
  • 9 = 3*3
  • 12 = 2*2*3

KatRina [158]3 years ago
6 0

Answer:

\Huge \boxed{\mathrm{B) \ 36}}

\rule[225]{225}{2}

Step-by-step explanation:

A pair of factors are two factors of a number, when multiplied, gives the number.

3* 12=36

4*9=36

The pairs 3, 12 and 4, 9 are factor pairs of 36.

\rule[225]{225}{2}

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Answer:

x=7.2

Step-by-step explanation:

Let x represent height of the prism.

We know that volume of rectangular is equal to product of its height, width and length.

\text{Surface area of rectangular prism}=2(wl+lh+hw), where w, h and l represents width, length and height respectively.

We have been given that the surface area of rectangular prism is equal to the volume of the prism. So we can set an equation as:

lwh=2(wl+lh+hw)

We are also told that the measurements of the rectangular prism is 9 inches long and 4 inches wide. Upon substituting these values in above equation, we will get:

9\cdot 4\cdot x=2(4\cdot  9+9\cdot x+x\cdot 4)

Let us solve for x.

36x=2(36+9x+4x)  

36x=2(36+13x)

36x=2(36+13x)

36x=72+26x

36x-26x=72+26x-26x

10x=72

x=\frac{72}{10}\\\\x=7.2

Therefore, the value of x is 7.2 inches.

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A cylinder has a base area of 100cm and volume of 1500 cm what’s the height
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Answer:

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So, length of rectangle B

= x + 25% of x

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= 1.25x

Let the width of rectangle A be y units

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= \frac{3}{5}\times x\\=0.6x

Area of rectangle A = xy

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