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uranmaximum [27]
3 years ago
6

Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.

Mathematics
1 answer:
natta225 [31]3 years ago
4 0

Answer:Yes they are equivalent.

Step-by-step explanation:

3/4a + 8 - 1/4a - 2 1/2(a + 12)

Combine like terms Distributive property

2/4a+6 1/2a+6

2/4=1/2 (simplify)

1/2+6=1/2+6

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yawa3891 [41]

Answer:

I belive its 300

Step-by-step explanation:

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3 years ago
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Find the volume of a right rectangular prism with a length of 4 units, a width of 3 units, and a height of 5 units. A. 12 cubic
Aleksandr [31]

Answer: 60

Step-by-step explanation:

V = w h l = 3 x 5 x 4 = 60

Hope this helped, if not i can do the problem again :)!

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3 years ago
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An actor invests some money at 7%, and $48000 and more than twotimes the amount of 9%. The total annual interest earned from the
forsale [732]

Answer:

At 7% $54,000

At 9% $156,000

Step-by-step explanation:

Let x be the amount invested at 7%, Then 2x + 48000 will be the amount invested at 9%

We know that:

7% = 0.07 & 9% = 0.09

So we can write the interest equation as follows:

0.07x + 0.09 (2x + 48000) = 17820

0.07x + 0.18x + 4320 = 17820

0.25x + 4320 = 17820

Subtracting 4320 from both sides of the equation we get:

0.25x = 17820 - 4320

0.25x = 13500

Dividing both sides of the equation by 0.25 we get:

x = 13500 / 0.25

x = $54,000 invested at 7%

&

2 x 54000 + 48000

= $156,000 invested at 9%

Hence the amount invested at 7% is $54,000.

& the amount invested at 9% is $156,000.

5 0
3 years ago
Solve 2x + 5 = 17 <br> You may use a flowchart if this will help you
Dafna1 [17]

Answer:

X = 6

Step-by-step explanation:

17 - 5 = 12

12 ÷ 2 = x

12 ÷ 12 = 6

5 0
3 years ago
Can you give me an answer to this problem? 100m + 60m + ?m<br><br> Pythagorean thereon
laila [671]

Answer:

116.62m

Step-by-step explanation:

c= \sqrt{a^2+b^2} = \sqrt {100^2+60^2} approx. 116.61904

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3 years ago
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