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exis [7]
3 years ago
11

Identify Properties Used in

Mathematics
1 answer:
djverab [1.8K]3 years ago
5 0

The question is:

Identify properties used in each step in rewriting the polynomial expression below:

  • (x + 5) + 3(a + (6x)y)

Step 1: (5 + x) + 3(a + (6x)y)

Step 2: 5 + (x + 3(a + (6x)y)

Step 3: 5 + (x + 3a + (18x)y)

Step 4: 5 + (x + 3a +18xy)

Answer:

See below

Explanation:

<u>Step </u>                                   <u>Property and its explanation</u>

Step 1:

(5+x)+3(a+(6x)y)           <u>Given</u>: this is just the starting expression

Step 2:

5+(x+3(a+(6x)y)          <u>Associative property of addition</u>:

                                            the variable x was associated with the

                                            expression to its right

Step 3:

5+(x+3a+(18x)y)           <u>Distributive property of multiplication over</u>

                                              <u>addtition</u>: the number 3 was multiplied by

                                              each term inside to the parenthesis

Step 4:

5+ (x+3a+18xy)             <u>Simplification</u>: the product (18x)y was

                                             solved

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PLEASE ANSWER QUICKLY
GaryK [48]
We have that
<span>1/4 x + 2/3 y = 5 ----> multiply by 12 both sides---> 3x+8y=60
1/2 x + 3/2 y = 11---> multiply by 2 both sides----> x+3y=22

therefore

the answer is the option
</span><span>B. 3x + 8y = 60 ; x + 3y = 22</span>
8 0
3 years ago
Read 2 more answers
∠A and ∠B are supplementary, and ∠A and ∠C are supplementary. Which conclusion is valid? Select one: A. ∠B and ∠C are supplement
zysi [14]

Option D is the correct answer.

Answer:

D. ∠B and ∠C are congruent.

Step-by-step explanation:

Since, ∠A and ∠B are supplementary.

Therefore,

∠A + ∠B = 180°.....(1)

Since, ∠A and ∠C are supplementary.

Therefore,

∠A + ∠C = 180°.....(2)

From equations (1) & (2)

∠A + ∠B = ∠A + ∠C

=> ∠B = ∠C

Hence, ∠B and ∠C are congruent.

4 0
3 years ago
Greg spent 6.4 hours working with his dad one Saturday. If his dad paid him$45.76, how much did Greg make per hour?
nordsb [41]

Answer:

$7.15

Step-by-step explanation:

The best way to solve this is by crossing out the data you don't need so you're left looking at the key pieces to put the equation together. If his dad paid him $45.76 for 6.4 hours, then all you need to do is divide 45.76 by 6.4. (Hint: Use a calculator, it makes it ten times faster than trying to write it out!)

45.76 ÷ 6.4 = 7.15

So Greg made $7.15 an hour working with his dad.

6 0
3 years ago
Charles has $87 in his checking account. He spent $14 and $17, then deposited $33. If he wants to buy a television that cost $18
tester [92]

Answer:

He need $99 more

Step-by-step explanation:

87-14-17=56+33=89

188-89=99

5 0
3 years ago
Read 2 more answers
beaus recipefor granola bars calls for 3 1/2 cups of oatmeal. he only have 1/6 cup scoop.how many scoops of oatmeal will he need
Stells [14]
<h2>Answer:</h2>

The number of scoops of oatmeal  he will need for the recipe is:

                             21 scoops.

<h2>Step-by-step explanation:</h2>

It is given that:

Beaus recipe for granola bars calls for 3 1/2 cups of oatmeal.  

i.e. the cups of oatmeal required is:

3\dfrac{1}{2}\ cups=\dfrac{3\times 2+1}{2}\ cups

i.e.

\dfrac{7}{2}\  \text{cups\ of\ oatmeal\ is\ required}

Also, he has:

\dfrac{1}{6}\ \text{cup scoop}

This means that:

\text{Number of scoops of oatmeal he need}=\dfrac{\text{Number of cups of oatmeal}}{\text{Number of cup scoop he has}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{\dfrac{7}{2}}{\dfrac{1}{6}}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=\dfrac{7\times 6}{1\times 2}\\\\i.e.\\\\\text{Number of scoops of oatmeal he need}=21\ \text{scoops}

7 0
3 years ago
Read 2 more answers
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