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weqwewe [10]
3 years ago
13

Apply the distributive property to create an equivalent expression. \dfrac12(10x + 20y +10z) = 2 1 ​ (10x+20y+10z)=start fractio

n, 1, divided by, 2, end fraction, left parenthesis, 10, x, plus, 20, y, plus, 10, z, right parenthesis, equals
Mathematics
2 answers:
Fiesta28 [93]3 years ago
6 0

Answer:

The answer is "5x+10y+5z"

Step-by-step explanation:

Given value:

\to \frac{1}{2}(10x + 20y +10z)

Using the distributive property.

If there are three integers a,b and c then:

a \cdot(b+c) =a \cdot b +  a \cdot c

\to  \frac{1}{2}(10x) +\frac{1}{2}(20y+10z)\\\\\to (5x) +\frac{1}{2}(20y+10z)

Again apply the distributive property

 \to (5x) +(10y+5z)\\\\\to (5x+10y+5z)

Or

\to \frac{1}{2}(10x + 20y +10z)

take common 2 from the equation:

\to \frac{1}{2}\times 2 (5x + 10y +5z)\\\\\to (5x + 10y +5z)\\

Rudiy273 years ago
3 0

Answer:

5x+10y+5z

Step-by-step explanation:

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A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width
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Answer:

D.\ 3328\ ft^3

Step-by-step explanation:

Given

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Required

Determine the volume of the medium pool

Volume of a cylinder is calculated as:

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Hence, the volume of the baby pool is:

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Represent the height and radius of the medium pool as H and R

From the given parameters in the question

H = 4 * h and R = 4 * r

H = 4 h and R = 4  r

The volume of the medium cylinder is calculated as

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Substitute 4h for H and 4r for R

Volume = \pi (4r)^2(4h)

Open bracket

Volume = \pi (4r) * (4r) * (4h)

Volume = \pi 16r^2 * (4h)

Volume = \pi 16r^2 * 4h

Collect like terms

Volume = \pi r^2 * h * 4 * 16

Volume = \pi r^2  h * 64

Recall that \pi r^2h = 52

So, the expression becomes

Volume = 52 * 64

Volume = 3328

Hence, the medium pool can hold 3328ft^3 of water

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