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3 years ago

7

The length of a rectangle is 2 units more than the width. The area of the rectangle is 48 units. What is the width, in units, of

the rectangle?

1 answer:

IRINA_888 [86]3 years ago

5 0

Answer:

6 units

Step-by-step explanation:

A = lw

l = w + 2

48 = lw

48 = (w + 2)w

48 = w² + 2w

0 = w² + 2w - 48

Quadratic equation results =

w = 6 or w = -8

But the measure could not be negative, therefore w = 6

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2) Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95. How m

d1i1m1o1n [39]

Answer:

13 pencils.

Step-by-step explanation:

Let x be the pens and y be the pencils

Given:

Brian purchased pens for 75 cents each and pencils for 40 cents each he bought total of 22 writing utensils for $11.95.

Total pens and pencils is 22

So, $x+y=22$ ----------------(1)

And he bought all utensils for $11.95. and each pen for 75 cents and pencils for 40 cents.

$0.75x+0.40y=11.95$ ------------(2)

solve equation 1 and equation 2 for x and y.

From equation 1.

$x+y=22$

$y=22-x$ ----------------(3)

put y value in equation 2.

$0.75x+0.4(22-x)=11.95$

$0.75x+0.4\times 22-0.4x=11.95$

$0.75x+8.8-0.4x=11.95$

$0.75x-0.4x=11.95-8.8$

$0.35x=3.15$

$x=\frac{3.15}{0.35}$

$x=9$

Now substitute x value in equation 3.

$y=22-9$

$y=13$

So, he buy 13 pencils.

5 0

3 years ago

Which is bigger 6.951 or 6.9313?

fomenos

Answer:

6.51

Step-by-step explanation:

7 0

3 years ago

1,000 shoes. 20% of them are sneakers. 40% of those sneakers are red.

fenix001 [56]

20% of 1000 = 200

40% of 200 = 80

Therefore there are 80 red sneakers

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Which of the following statements describes one part of completing the square for x 2 + 4x = 32?

Westkost [7]

SOS:

Answer:

Take the square root of 36 and subtract 2.

Step-by-step explanation:

$x^2+4x=32\\(\frac{1}{2}*4=2; 2^2=4) : x^2+4x+4=36\\\sqrt{(x+2)^2}=\sqrt{36}\\ x+2=±6: -2+6=4, -2-6=-8$

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

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2 years ago

The GFC of 84 and 56 is ?

arsen [322]

Answer:

28

What is the GFC of 56 and 84? The gcf of 56 and 84 is 28.

Step-by-step explanation:

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2 years ago

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