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2 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

Mathematics

1 answer:

Katyanochek1 [597]2 years ago

5 0

The correct answer is –6x + 15 < 10 – 5x.

We can tell this by solving for x.

–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.

-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides

-x + 15 < 10 ----> subtract 15 from both sides

-x < -5 ----> Divide by -1

x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).

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Please help mee pleaseee

nalin [4]

Answer:

The exact answer in terms of radicals is $x = 5*\sqrt[3]{25}$

The approximate answer is $x \approx 14.62009$ (accurate to 5 decimal places)

===============================================

Work Shown:

Let $y = \sqrt[5]{x^3}$

So the equation reduces to -7 = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since $y = \sqrt[5]{x^3}$ and y = 5, this means we can equate the two expressions and solve for x

$y = 5$

$\sqrt[5]{x^3} = 5$

$x^3 = 5^5$ Raise both sides to the 5th power

$x^3 = 3125$

$x = \sqrt[3]{3125}$ Apply cube root to both sides

$x = \sqrt[3]{125*25}$

$x = \sqrt[3]{125}*\sqrt[3]{25}$

$x = \sqrt[3]{5^3}*\sqrt[3]{25}$

$x = 5*\sqrt[3]{25}$

$x \approx 14.62009$

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2 years ago

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0.08 Divided by 3.84

Cloud [144]

Around 0.02 or more precise, 0.02083

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Richard receives a 3.5% commission for selling cleaning supplies. What is his commission on sales of $122,591?

konstantin123 [22]

Answer:

We have to find 3.5% $122,591

So,

122591*3.5/100=4,290.685

So, the commission will be $4,290.685

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Morgan is reupholstering an old chair with two circular cushions. Each cushion has a circumference of 7. 85 feet. He will need t

kramer

The total fabric Morgan needs to cover the cushions will be 19.64 square feet.

It is given that each cushion has a circumference of 7.85 feet.

It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.

2πr = 7.85

r = 1.25

<h3>What is an area of a circle?</h3>

area of a circle is πr².

now, we can calculate the area = π× 1.25² = 4.91 square feet

since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.

Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.

to get more about the area of a circle, refer to the link:

brainly.com/question/12069107

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2 years ago

Which expression is equivalent to 6(2x + 4)

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Answer:

12x+24

Step-by-step explanation:

by multiplying the number 6 into the term inside of the bracket gives 12x + 24

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