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Temka [501]
3 years ago
6

Marks books has an area of 48 in.². The perimeter of the book is 52 inches. what are the dimensions of the book

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

dimensions of the book are 2 in. by 24 in.    

Step-by-step explanation:

I assume the book is a rectangle

Let w = the width

     l = the length

A = lw = 48         P = 2w + 2l = 52

                                   w + l = 26

                                          l = 26 - w

w(26-w) =48

26w - w^{2} = 48

w^{2}  - 26 w + 48 = 0

(w-2)(w -24) =  0

w = 2    or   w = 24

                           if w = 2, then l = 26 - 2 = 24

                           if w = 24, then l = 26 - 24 = 2

So, the dimensions of the book are 2 in. by 24 in.    

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If the sum of a number and four is tripled the result is eight less than twice the number
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Answer:

The number is -20.

Step-by-step explanation:

If x is the number, then 3(x+4)=2x-8.

3x+12=2x-8

x=-20

5 0
3 years ago
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Can somebody please clearly (and correctly) explain how to successfully work out this question?
STatiana [176]

Answer:

No

Step-by-step explanation:

To calculate the number of tiles needed

divide 4m by 0.2m for row of tiles ⇒ 20 tiles per row

divide 3m by 0.2m for column of tiles ⇒ 15 tiles per column

number of tiles = 20 × 15 = 300

number of packs = 300 ÷ 10 = 30

cost = 30 × £34.99 = £1049.70

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She does not have enough to cover the wall




6 0
3 years ago
Find the circumference of the pizza to the nearest tenth.
mote1985 [20]

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7 0
3 years ago
What are two solutions of 3 + 4 |x/2 + 3| = 11?
Alex
3 + 4abs(x/2 + 3) = 11 Subtract 3
4 abs(x/2 + 3) = 11 - 3
4 abs(x/2 + 3) = 8 Divide by 4
abs(x/2 + 3) = 8/4
abs(x/2 + 3) = 2

Solution 1
x/2 + 3 = 2 Subtract 3
x/2 = 2 - 3
x/2 = - 1 Multiply by 2
x/2 *2 = - 2
x = - 2

Solution 2
x/2 + 3 = - 2
x/2 = - 2 - 3
x/2 = - 5 Multiply by 2
x = -5 * 2
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Solutions
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x = -10 <<<< answer 2

3 0
4 years ago
I really need help with this one
Novay_Z [31]

Answer:

28

Step-by-step explanation:

Since B is the midpoint of AC, that means AB = BC. That means 3x+4 = 5x-6. We can now set up an equation to solve for x:

3x+4 = 5x-6

3x+10 = 5x

10 = 2x

x = 5

Now that we know what x is, we can just plug x into the expression of AB and multiply it by 2:

(3*(5)+4)*2

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=19*2

=28

(side note: we could have plugged x into the expression of BC as well, but in this case plugging it into AB tends to be easier to solve)

Therefore, the length of AC is 28.

3 0
3 years ago
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