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inn [45]
3 years ago
12

3. (5 + 2) = (3 . 5) + (3 . 2) *

Mathematics
1 answer:
UNO [17]3 years ago
8 0

Answer:

C) Distributive Property

Step-by-step explanation:

You're <em>distributing</em> in the 3 when you multiply it by the 5 and the 2 in the algebraic process:

 ➦  ➦

3•(5 + 2) = (3 • 5) + (3 • 2)

So, the 3 was <em>distributed</em> between the 5 and 2 when you multiplied.

Hence, this is the distributive property.

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Answer: the answer that i got was -11

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8.11

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The state of Maine encourages recycling by giving refunds for certain recycled items. When you recycle a glass bottle, you get b
Klio2033 [76]

Given that cost of 1 drinks in a glass bottle = $2.00

Given that cost of 1 drinks in an aluminum can = $0.50

Given that cost of 1 drinks in a plastic bottle = $1.50

Then sum of costs  of 1 drink from each will be = 2.00+0.50+1.50


Given that you buy two of each then total cost will be given by 2(2.00+0.50+1.50)


Hence expression that represents the amount of money you will spend is 2(2.00+0.50+1.50).

Using distributive property, we can rewrite it as:

2(2.00+0.50+1.50)=2*2.00+2*0.50+2*1.50

This is final answer of part A.


----------

Given that refund on 1 drinks in a glass bottle = $0.05

Given that refund on 1 drinks in an aluminum can = $0.10

Given that refund on 1 drinks in a plastic bottle = $0.15

Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15


Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)


Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).

Using distributive property, we can rewrite it as:

2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15

This is final answer of part B.


----------

Net cost is given by difference of total cost and total refund

Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)

= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)

= 4+1+3 - (0.10+0.20+0.30)

= 8 - 0.60

= 7.40

Hence net cost is $7.40

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3 years ago
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Answer:

Step-by-step explanation:

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3 years ago
Solve - 2x - 7 &gt; X+ 8.<br> O A. x&lt;-3<br> O B. x&lt;-5<br> O C. x&gt;-5<br> O D. x&gt;-3
Rzqust [24]

Answer:

x < -5

Step-by-step explanation:

- 2x - 7 > x+ 8

Add 2x to each side

- 2x+2x - 7 > x+2x+ 8

-7 > 3x+8

Subtract 8 from each side

-7-8 > 3x+8-8

-15 > 3x

Divide by 3

-15/3 > 3x/3

-5 >x

x < -5

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2 years ago
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