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2 years ago

What is 1/2(10x +20y +10z) using the distributive property? also as an equivalent expression?

Mathematics

1 answer:

valkas [14]2 years ago

8 0

Answer:

5x+10y+5z.

Step-by-step explanation:

The given expression is

$\dfrac{1}{2}(10x+20y+10z)$

We need to find the equivalent expression by using the distributive property.

By using the distributive property, the given expression can be written as

$\dfrac{1}{2}(10x+20y+10z)=\dfrac{1}{2}(10x)+\dfrac{1}{2}(20y)+\dfrac{1}{2}(10z)$

$=5x+10y+5z$

Therefore, the required expression is 5x+10y+5z.

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Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h

Elden [556K]

Let

x-----> the number of hours that Candice spent doing her homework

y-----> the number of hours that Ronald spent doing his homework

we know that

$x=5\frac{1}{4}\ hours$

convert mixed number to an improper fraction

$5\frac{1}{4}\ hours=\frac{5*4+1}{4}= \frac{21}{4}\ hours$

$x=\frac{21}{4}\ hours$ -------> equation A

$y=\frac{1}{2}x$ ------> equation B

Substitute equation A in equation B

$y=\frac{1}{2}*\frac{21}{4}=\frac{21}{8}\ hours$

convert an improper fraction to a mixed number

$\frac{21}{8}\ hours=2.625=2+0.625=2+\frac{5}{8}=2\frac{5}{8}\ hours$

therefore

<u>the answer is the option B</u>

$2\frac{5}{8}\ hours$

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2 years ago

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Surface Area of the following figure

julia-pushkina [17]

The answer is 96, don't ask how, just know.

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3 years ago

For which acute angles is the following statement true? The complement of the angle is smaller in measure than either of the two

Hitman42 [59]

Let the acute angle be 2x.

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It is given that this complementary angle is less than each of the bisected angle.

Therefore, 90 - 2x < x

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Therefore, the statement is true for all angles that are greater than 60 degrees.

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A cube has a surface are of 54. What's the volume?

bixtya [17]

Answer:

Step-by-step explanation:

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Meaning each side has an area of 3.

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Whats the m.a.d. of 0, 3, 6, 9, 11, 13, 14? n=7

KatRina [158]

Answer:

4 2/7

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the tedious math for you. (See the attachment.)

_____

The sum of the numbers is 56, so their average is 56/7 = 8. Then the absolute deviations from average are ...

... 8, 5, 2, 1, 3, 5, 6

and the total of these is 30. The mean absolute deviation is this sum divided by the number of numbers, 7, so is ...

... 30/7 = 4 2/7

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<em>More about Absolute Deviation from Average</em>

"Absolute" here refers to the absolute value function, which drops the sign of a negative number. The absolute deviation of the data value 0 is ...

... |0 - 8| = |-8| = 8

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... |3 - 8| = |-5| = 5

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3 years ago