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3 years ago

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Consider the inequality -5(x+7)<-10. Write and inequality representing the solution for x

1 answer:

uysha [10]3 years ago

5 0

Let's solve your inequality step-by-step.<span><span>−<span>5<span>(<span>x+7</span>)</span></span></span><<span>−10</span></span>Step 1: Simplify both sides of the inequality.<span><span><span>−<span>5x</span></span>−35</span><<span>−10</span></span>Step 2: Add 35 to both sides.<span><span><span><span>−<span>5x</span></span>−35</span>+35</span><<span><span>−10</span>+35</span></span><span><span>−<span>5x</span></span><25</span>Step 3: Divide both sides by -5.<span><span><span>−<span>5x</span></span><span>−5</span></span><<span>25<span>−5</span></span></span><span>x><span>−5

</span></span>Answer:<span>x><span>−5

Good luck mate :P</span></span><span>
</span>

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The length of a rectangle envelope is 2 1/2 times its width. A plastic band surrounds the front and back of the envelope to secu

Andreas93 [3]

<u>Answer</u>:

Length of the envelope = 14

Width of the envelope = 5.6

<u>Step-by-step explanation:</u>

Let the width of the rectangle be x

Then the length of the rectangle will be $2\frac{1}{2} \times x$

Also the length of the plastic band to cover the front and back of the envolpe = $39\frac{3}{8}$

To cover one side th band required is

=> $\frac{39\frac{3}{8}}{2}$

=> $\frac{\frac{315}{8}}{2}$

=> $\frac{\frac{315}{8}}{2}$

=> ${\frac{315}{16}$

=>39.4

We know that the perimeter of the rectangle is

=> 2( L + B) = ${\frac{39.4}{2}$

=> 2( $2\frac{1}{2} \times x + x$ ) = 19.7

=> 2( $\frac{7}{2}x) = 19.7$

=> $3.5x = 19.7$

=> $x = \frac{19.7}{3.5}$

=> $x = 5.6$

Now length of the envelope =

=> $2\frac{1}{2} \times x$

=> $2.5 \times 5.6$

=> 14

5 0

3 years ago

Which of the following rectangular prisms has a base area of 40 cm2 and a volume of 160 cm3?

Anon25 [30]

The base is 4 x 10. which means that you can divide 160 by 40 to get the hieght. (The height is 4)

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3 years ago

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mylen [45]

(22,11) it equals the about when you plug it in

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3 years ago

What is the area of the shaded region?

ella [17]

33cm

Because add all of them then subtract then do the parenthasees and you get 33

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3 years ago

The average American man consumes 9.7 grams of sodium each day. Suppose that the sodium consumption of American men is normally

Phoenix [80]

Answer:

Step-by-step explanation:

b. p(10.5<x<11.2)= p(x<11.2)-p(x<10.5)

p(x<11.2)= (11.2-9.7)/1 = 1.5 = 0.9332

p(x<10.5)= (10.5-9.7)/1= .8= 0.7881

.9332-0.7881= .1451

c. 9.7-.253, 9.7+.253

9.447, 9.953

3 0

2 years ago