All categories

3 years ago

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

Mathematics

1 answer:

valkas [14]3 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.

You might be interested in

On January 16 the temperature in Boston was -8 degrees at 4:00am and it when began to rise 3degrees every hours. What was the te

ANTONII [103]

Answer:

22 degrees

Step-by-step explanation:

6 0

3 years ago

Lines AD and BC are parallel.

allochka39001 [22]

*see attachment for the missing figure

Answer:

Angle ADE = 45°

Angle DAE = 30°

Angle DEA = 105°

Step-by-step explanation:

Since lines AD and BC are parallel, therefore:

Given that angle Angle CBE = 45°,

Angle ADE = Angle CBE (alternate interior angles are congruent)

Angle ADE = 45° (Substitution)

Angle DAE = Angle ACB (Alternate Interior Angles are congruent)

Angle ACB = 180 - 150 (angles on a straight line theorem)

Angle ACB = 30°

Since angle DAE = angle ACB, therefore:

Angle DAE = 30°

Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)

Angle DEA = 180 - (45 + 30) (Substitution)

Angle DEA = 180 - 75

Angle DEA = 105°

8 0

3 years ago

Dale keeps all of his pairs of shoes in his closet. select the number of shoes that deal could have in his closet. Mark all that

bekas [8.4K]

As it says he keeps 'pairs' of shoes so the answer has to be an even 'number' - ie B, C and E are all possible answers.

6 0

3 years ago

Read 2 more answers

A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu

Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: $P(A)=0.9$

$P(A^c)=0.1$

$P(B|A^{C})=0.25$

If it is given that the answer is correct , then the probability that he guess the answer $P(B|A)= 1$

By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}$

$=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730$

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0

3 years ago

Suppose 1.5 liters of water come out of a faucet each minute. For how many minutes was the faucet on if 18.6 liters of water cam

Stolb23 [73]

Answer:

It was on for 12.4 minutes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers