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DanielleElmas [232]
3 years ago
8

PLEASE HELP!

Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0
I hope this helps you

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Solve each one variable equation.
uranmaximum [27]

Answer:

See below in bold.

Step-by-step explanation:

a.  |x| = 6

x = 6, -6.

b.  |x − 5| = 4

x - 5 = 4

x = 9.

x - 5 = -4

x = 1.

c. 2|x + 3| = −10

No solution because |x + 3| is an absolute value so is always positive.

8 0
3 years ago
A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
crimeas [40]

Answer:

450 minutes

Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

t = 450

Hence, it'll take 450 minutes to empty the pool

8 0
3 years ago
In a cafeteria, there are the same number of 3-legged stools as there are of 4-legged chairs. If stools have 120 fewer legs than
olga_2 [115]
Imagine what x is quantity of stools. So
3x+120=4x
x=120
120 stools in cafeteria
120 chairs in cafeteria
120+120=240
There 240 people can sit in this cafeteria
6 0
3 years ago
The area of the shaded circle below is 78.5 square inches. The area of the large circle is 314 square inches.
umka2103 [35]
From the given description it seems that the small shaded circle lies within the larger circle as shown in image below:

The probability that a point choosen at random lies within the shaded area = Area of shaded region / Total area of the bigger cricle

So,
Probability = 78.5/314 = 0.25

Thus there is 0.25 or 25% probability that the point chosen at random will lie inside the shaded region. 

6 0
3 years ago
Read 2 more answers
Now evaluate. Substitute −2 for x in the composition f(g(x)) = 4x6 + 4x3 + 1, then simplify. f(g(−2)) =
Viktor [21]
F(g(-2))=4(-2)^6+4(-2)^3+1
f(g(-2))=4(64)+4(-8)+1
f(g(-2))=256-32+1
f(g(-2))=224+1
f(g(-2))=225
4 0
3 years ago
Read 2 more answers
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