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alukav5142 [94]
2 years ago
9

evelyn has $638.54 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $159.50 today

. write and solve an inequality that would be used for the least amount of money she needs to deposit to avoid a fee. source stylesformatfontsize
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
4 0

The inequality is:

x + $488.04 ≥ $500

And the solution is

x ≥ $11.96

<h3>How to write and solve the inequality?</h3>

First, let's define x as the amount that she needs to deposit.

Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:

$638.54 - $159.50 = $488.04

Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:

x + $488.04 ≥ $500

Solving that for x, we get:

x ≥ $500 - $488.04 = $11.96

She needs to deposit at least $11.96.

If you want to learn more about inequalities:

brainly.com/question/24372553

#SPJ1

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Answer:

Brandon is correct.

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of x pints of yellow color become 4 + x pint, in which the ampunt of yellow color is 2+x pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

(4+x)\times 80\%=2+x

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Hence, Brandon is correct.

3 0
3 years ago
30 points
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Catarina and Tom want to buy a rug for a room that is 9 by 19 feet. They want to leave an even strip of flooring uncovered aroun
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Answer:

17ft wide

Step-by-step explanation:

The room is 9 by 19ft

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Width(y) = 9ft

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x*y = 119 ...........(1)

For the second equation we will make sure the strip around the room is uniform in size

9 - x = 19 - y

-x = 19 - 9 -y

-x = 10 - y

x = y - 10 ..........(2)

Put the value x in equation 1

(y - 10)y = 119

y^2 - 10y = 119

y^2 - 10y - 119 = 0

a = 1, b = -10, c= -119

Use quadratic formula to solve the equation

y = (-b +/-√b^2 -4ac) / 2a

y = [-(-10) +/- √ (-10)^2 - 4(1)(-119)] /2(1)

y = (10 +/- √100 + 476) /2

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y = (10 +/- 24) / 2

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y = 17 or -7

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Recall that x = y - 10

x = 17 - 10

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56 = 17n - 29<br> what is the value of n
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Answer:

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Step-by-step explanation:

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