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Y_Kistochka [10]
3 years ago
5

use the distributive property to find an expression equivalent to 24 + 64. 8(3 + 8) 6(4 + 8) 24 + (8)(8) (2)(12) + (8)(8) HURRYY

YYYYY
Mathematics
2 answers:
bonufazy [111]3 years ago
4 0

Answer:

8(3 + 8)

Step-by-step explanation:

Distribute or expand the brackets using the distributive property.

8(3) + 8(8)

Multiply.

24 + 64

g100num [7]3 years ago
4 0

<u>Answer:</u>

<em><u>8(3 + 8)</u></em>

<u>Explanation:</u>

step 1 - find the greatest common factor for both numbers

<em>factors of 24</em>

<em>1 × 24</em>

<em>2 × 12</em>

<em>4 × 6</em>

6 <em>× 4</em>

<em>8</em> <em>× 3</em>

<em>24 × 1</em>

<em>factors of 64</em>

<em>1 × 64</em>

<em>2 × 32</em>

<em>4 × 16</em>

<em>8 </em><em>× 8</em>

<em>16 × 4</em>

<em>32 × 2</em>

<em>64 × 1</em>

So, the greatest common factor for both numbers is eight.

step 2 - apply the distributive property

24 + 64

<em>8(3) + 8(8)</em>

<em>8(3 + 8)</em>

Therefore, an expression equivalent to the one provided is <em><u>8(3 + 8).</u></em>

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Step-by-step explanation:

step 1

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A container is 70​% filled with chemical solution. The container holds 1,650 liters of chemical solution. How many liters of che
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Step-by-step explanation:

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y=2x+3

Step-by-step explanation:

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PLSSS HELP ASAP<br> solve questions 1-5 please
sertanlavr [38]

#1. 4x^2 + 17 - 15 = 0

Use the roots given, and plug them in to a factored form. Then, foil! It can also be helpful to multiply the equation to get rid of decimals/fractions.

(x - 3/4)(x + 5) = 0

x^2 - 3/4x + 5x - 3 3/4 = 0

x^2 + 4.25 - 3.75 = 0 (multiply everything by 4)

4x^2 + 17 - 15 = 0

#2. y = 0, -4

Both 4y^2 and 16y contain a 4 in the coefficient and a y in the variables. Therefore, we can factor out a 4y from each.

4y(y + 4) = 0

Then, set both parts of the factored equation equal to 0.

4y = 0

y = 0

y + 4 = 0

y = -4

#3. a = 0, -3

Both 6a^5 and 18a^4 contain a 6 in the coefficient and an a in the variables. Therefore, we can factor out a 6a^4 from each.

6a^4(a + 3) = 0

Then, set both parts of the factored equation equal to 0.

6a^4 = 0

a = 0

a + 3 = 0

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#4. x = -8

We are looking for two terms that multiply to equal a * c, and add up to equal b. We know that 8 + 8 = 16, and 8 * 8 = 64. There are no negatives in this equation, therefore both signs in our factored form are positive.

(x + 8)(x + 8) = 0

x + 8 = 0

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#5. x = -8, 8

First, subtract 64 from both sides. The key word here is 'factoring.' If this was not present, there is a different way (which may be easier for some).

x^2 = 64

x^2 - 64 = 0

Next, use the difference of two squares property to factor (x - c)(x + c), and set the two binomials equal to 0.

(x - 8)(x + 8) = 0

x - 8 = 0

x = 8

x + 8 = 0

x = -8

Hope this helps!! :)

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