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TEA [102]
3 years ago
5

A children’s sandbox is x feet deep, (10-x) feet wide and (14-x) feet long. What expression would represent the perimeter of the

bottom of the sandbox
Mathematics
1 answer:
Anna35 [415]3 years ago
5 0

Answer:

x^{2} -24x + 140

Step-by-step explanation:

a sandbox is the same at a rectangular prism

the formula is base times height.

to find base multiply width (10-x) times length (14-x)

this would be

  • (10-x)(14-x)

simplified is

  • 140-24x+x^{2} or

x^2-24x+140. This is the perimeter of the base (bottom) of the sandbox

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Julio bought tables and chairs for his restaurant. He bought 16 total items and spent $1800. Each table cost $150 and each chair
uysha [10]

Answer:

He bought 6 chairs and 10 tables.

Step-by-step explanation:

x+y = 16

he spent = $1800

1 chair = $50

y chairs = $50y

1 table = $150

x chairs = $150x

so, 150x+50y = 1800

we got two equations :

x+ y = 16

150x+50y = 1800

Using. substitution method,

x+y = 16

so, x = 16-y

Now

150x+50y =1800

or, 150(16-y) + 50y = 1800

or, 2400-150y+50y = 1800

or, 2400-1800 = 150y-50y

or, 600=100y

so, y = 6

now,

x+y = 16

or, x + 6 = 16

so, x = 10

4 0
2 years ago
How do I set up this equation and solve ?
vovangra [49]

angles in a triangle need to equal 180 degrees

 so x = 180 - 47 - 58

x = 180-105

 x= 75 degrees

4 0
4 years ago
samantha has 20 marbles paul has m marbles. Of samantha has 6 times as many marbles as paul, write an equation to show how many
Morgarella [4.7K]

Answer:

20 = 6m  or  m = 20/6 = 10/3

Step-by-step explanation:

Let's say Samantha has s marbles and Paul has m marbles.

We know that s = 20 and that Samantha has 6 times as many marbles as Paul. This means s = 6m.

Substitute 20 in for s:

20 = 6m

m = 20/6

Thus, the equation is m = 20/6.

<em>~ an aesthetics lover</em>

7 0
3 years ago
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serg [7]

Answer:

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4 0
2 years ago
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- 7 ( x - 2 ) + 1 = 15 - 7x
Savatey [412]

Answer: x=1

Step-by-step explanation:

You need to open up the parenthesis so you multiply every term inside the parenthesis by -7.

1.  -7x + 14 + 1 = 15 -7x

2. Combine like terms -7x + 15 = 15-7x

The two sides of the equation are the same so that means that x=1

5 0
3 years ago
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