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ValentinkaMS [17]
3 years ago
5

Kent multiplies both sides of the equation below by an expression. k startfraction 12 over k endfraction = 8 then he moves all t

he terms to one side of the equal sign in the resulting equation. which equation must he solve now?
Mathematics
1 answer:
astra-53 [7]3 years ago
3 0

The resulting equation that Kent has when he moves all the terms to one side of the equal sign is k² - 8k + 12 = 0

<h3>What is quadratic equation?</h3>

A quadratic function is a function that usually has a single variable and it is raised to the power of 2. An example is x² + 10x + 25 = 0

Given this equation: k + 12/k = 8

If both sides are multiplied by k, the equation becomes: k² + 12 = 8k

If all the terms are moved to one side of the equal sign: k² - 8k + 12 = 0

Please find attached the complete question. To learn more about multiplication, please check: brainly.com/question/3385014

#SPJ4

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The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the
borishaifa [10]

Answer:

The width of the door is 36 inches

Step-by-step explanation:

The given parameters are;

The given area of the door = 3024 in.²

The length of the door = 48 + The width of the door

Let W represent the width of the door

Therefore, we have;

The length of the door = 48 + W

The area of the door = The length of the door × The width of the door

∴ By substitution, the area of the door = 3024 = W × (48 + W)

3024 = W × (48 + W) = 48·W + W²

48·W + W² = 3024

∴ 48·W + W² - 3024 = 0

Rearranging, we get;

W² + 48·W - 3024 = 0

By trial and error, we have;

(W + 84)×(W - 36) = 0

Therefore, given that the width of the door is a natural number, we have;

The width of the door, W = 36 inches

7 0
3 years ago
If Rebekah had 28 Jolly Ranchers, ate 3, gave 5 to her friend Hayley, and 5 to her friend Audrey, how many Jolly Ranchers does s
dangina [55]
She has 15 left because she had 28 then she at 3 which is now 25 then she gave 5 away which is 20 then she gave 5 more away which is 15. So she ends up with 15
4 0
3 years ago
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Heather has $500 in her savings account. She withdraws $20 per week for gas. Write an equation Heather can use to see how many w
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500-20x=200 is the equation
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A restaurant has 15 1/5 pounds of ground beef to make meat loaves. Each meat loaf requires 2 2/8 pounds of ground beef. How many
frosja888 [35]

Answer:

First make mixed

15 x 5 = 75+1=76

76/5

2x8=16+2=18

18/8

Divide

76/5 / 18/8

Use the reciprocal and multiply

76/5 x 8/18

76x8=608

5x18=90

608/90

Simplify

608/2=304

90/2=45

304/45

6 and 34/45 meat loaves

Hope this helps

Step-by-step explanation:

4 0
3 years ago
1. A pond has 85 frogs, 20% of the frogs are green the rest are orange, brown, and yellow. How many frogs are green?​
alexandr402 [8]

Answer:

17 green frogs

Step-by-step explanation:

You need to multiply the decimal form of 20% by 85.

To find the decimal form of a percent you take the decimal (20.00) and move it twice to the left (20.00 ---> .2000)

Now, multiply by .2 by 85

(.2)(85) = 17

Therefore, 17 frogs in the pond of 85 frogs are green

<em>Hope this helps!!</em>

<em>- Kay :)</em>

4 0
3 years ago
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