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2 years ago

7

4 < 4x- 16 Please answer!

1 answer:

anzhelika [568]2 years ago

6 0

Answer:

First you need to get your variable(x) by itself.

You do that by adding 16 to both sides of the greater than sign.

The 16 cancels or goes away. and 16 + 4 =20.

Your new equation is 20<4x

Finally you divide 20 by 4 to get 5

Your answer is 5<x or x>5.

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The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = $\frac{7}{2} ft$

Step-by-step explanation:

Given,

Area of rectangle = $42 \: {ft}^{2}$

Width = X

Length = 2x + 5

Now,

$x(2x + 5) = 42$

$2 {x}^{2} + 5x = 42$

$2 {x}^{2} + 5x - 42 = 0$

$2 {x}^{2} + 12x - 7x - 42 = 0$

$2x(x + 6) - 7(x + 6) = 0$

$(2x - 7)(x + 6) = 0$

Either

$2x - 7 = 0$

$2x = 0 + 7$

$2x = 7$

$x = \frac{7}{2}$

Or,

$x + 6 = 0$

$x = 0 - 6$

$x = - 6$

Negative value can't be taken.

So, width = $\frac{7}{2} ft$

Again,

Finding the value of length,

Length = $2x + 5$

$2 \times \frac{7}{2} + 5$

$7 + 5$

$12$

Length = 12 ft

7 0

3 years ago

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Evaluate. Write your answer as a fraction in simplest form. -1/2 + 7/8 - 5/24

Ymorist [56]

The answer would simplify to 1/6.

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3 years ago

On a cold winter moming in Colorado, the outdoor temperature was 5 degrees Fahrenheit at sunrise For the next sex hours the temp

Temka [501]

Answer: 6

Step-by-step explanation:

because i said so

8 0

3 years ago

Nicki has 30 pencils. for every green pencil, she has 5 purple pencils. how many pencils of of each color could she have

Hatshy [7]

Answer:

Step-by-step explanation:

(1) P = 5G

(2) G + P = 30

Substituting (1) into (2) gives:

G + 5G = 30

6G = 30

G =5

So there are 5 green pencils.

Now using that in (1) gives us P = 5 x 5 = 25

So there are 5 green pencils and 25 purple pencils.

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3 years ago

A triangle has sides xcm, (x + 4) cm and 11cm, where x is a whole number of cm. if the perimeter of the triangle is less than 32

NARA [144]

9514 1404 393

Answer:

{4, 5, 6, 7, 8}

Step-by-step explanation:

The inequality related to the perimeter is ...

x +(x +4) +11 < 32

2x < 17 . . . . . . . . . . . . subtract 15

x < 8.5

The inequality related to the triangle inequality is ...

(x) +(x +4) > 11

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x > 3.5

Then possible whole-number values of x are ...

{4, 5, 6, 7, 8}

6 0

3 years ago

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