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Liono4ka [1.6K]
3 years ago
15

What is the width of the mat?

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0
If you want the strip around the mat:

x=strip of mat

2(20+2x)+2(15+2x)=102
Distribute
40+4x+30+4x=102
Combine like terms
70+8x=102
Subtract 70
8x=32
Divide by 8
x=4

If you want the whole width of the mat:

w=15+x
w=15+2*4
w=23
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Write the equation of a vertical line that passes through the point (–4, 4).
FinnZ [79.3K]
The question asks for a vertical line, and if it is vertical, it cannot be y = ... because that is horizontal. We also know it passes through the x-coordinate of -4, so the answer is x = -4. 
4 0
3 years ago
ILL MARK BRAINIEST IF YOU CAN HELP!!!
Norma-Jean [14]
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3 years ago
a companys product development division has 60 employees. Of these, 1/3 are engineers. If 40% of engineers are moved to another
Musya8 [376]

Answer: There will be 12 engineers remaining in the product development department.

Step-by-step explanation:

So the givens are:

60 employees and 1/3 are engineers and if 40% of engineers are moved to another division and how many engineers will remain in the product development department?

So what we need to do:

60 * 1/3 = 60 / 3 = 20

There are 20 engineers.

20 * 40% = 8

There are 8 engineers that are g<u>oing to be moved to another division</u>.

20 - 8 = 12

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Hence, your answer.

6 0
3 years ago
8 less than 1/3 a number n is -13
AysviL [449]
Let's set up an equation.

so we know the answer is -13.
1/3 of a number (our variable) can be written as 1/3n.
8 less than that would be subtracting 1/3n by 8

so we have -13 = 1/3n - 8.

To solve:
Add 8 to both sides: -5 = 1/3n
Multiply both sides by 3 (to cancel fraction): -15 = n

You can check by plugging -15 into the equation we made.
7 0
3 years ago
A square and a rectangle have equal area.The rectangle is 64 cm by 81 cm. What is the perimeter of the square?
Fittoniya [83]

Answer:

2592 cm

Step-by-step explanation:

square area = x²

rectangle area = bh

so

x² = bh

since the areas are equal

b and h are in the problem as 64 and 81

x² = 64x81

x² = 5184

divide by 2

x = 2592 cm

6 0
3 years ago
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