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Naddik [55]
4 years ago
14

Kelsi's mom, Sue, is 8 times as old as Kelsi. In 10 years , Sue will be 3 times as old as Kelsi. How old are Kelsi and Sue now?

Mathematics
2 answers:
777dan777 [17]4 years ago
7 0
8x+10=3(X+10)
8x+10=3x+30
5x= 20
X=4
Kelsi 4
Mom 32
Effectus [21]4 years ago
6 0

Answer: The present age of Kelsi = 4 years.

The present age of Sue=32 years.

Step-by-step explanation:

Let x be the present age of Kelsi.

Then, Sue's present age = 8x

According to the question, after 10 years Kelsi's's age = x+10

Now, the Sue's age after 10 years will be given by :-

8x+10=3(x+10)\\\\\Rightarrow\ 8x+10=3x+30\\\\\Rightarrow8x-3x=30-10\\\\\Rightarrow5x=20\\\\\Rightarrow\ x=4

Hence, The present age of Kelsi = 4 years.

The present age of Sue = 8(4)=32 years.

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WILL MARK U AS BRAINLIEST PLEASE HELP
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Answer:

782.5inch³

Step-by-step explanation:

The question is on volume of a prism and that of a cylinder

Finding the volume of the prism

V=Bh where B is the base area and h is the height

Base area=14"×14"=196 inch²

height =8"

v=196×8= 1568 in³

Finding volume of the cylinder

v=r²h where r is the radius of cylinder and h is the height of cylinder

r=10/2=5 inches and h=10 inches

v=3.142×5×5×10=785.5inch³

The difference in volume

Difference in volume=1568-785.5=782.5in

5 0
3 years ago
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What the answer to this problem
Lana71 [14]
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8 0
3 years ago
Convert each of the following estimates of useful life to a straight-line depreciation rate, stated as a percentage: (a) 10 year
Rzqust [24]

Answer:

a.10 years 1 / 10 x 100 10% per year

b. 8 years 1 / 8 x 100 12.5% per year

c. 25 years 1 / 25 x 100 4% per year

d. 40 years 1 / 40 x 100 2.5% per year

e. 5 years 1 / 5 x 100 20% per year

f. 4 years         1 / 4 x 100 25% per year

g. 20 years 1 / 20 x 100 5% per year

Step-by-step explanation:

Under straight line method of depreciation, equal amount of the depreciation is reduced throughout the useful life of the asset. Using the following formula:

<u>Straight line depreciation rate = 1 / Useful Life x 100 </u>

So:

a.10 years 1 / 10 x 100 10% per year

b. 8 years 1 / 8 x 100 12.5% per year

c. 25 years 1 / 25 x 100 4% per year

d. 40 years 1 / 40 x 100 2.5% per year

e. 5 years 1 / 5 x 100 20% per year

f. 4 years         1 / 4 x 100 25% per year

g. 20 years 1 / 20 x 100 5% per year

7 0
4 years ago
Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)
timama [110]
<h3>Answer:   c = 7/4</h3>

================================================

Work Shown:

Compute the function value at the endpoints

f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\

With a = -5 and b = 4, we have

f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\

So,

f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\

Use algebra to solve for c

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6 0
3 years ago
What are the values of x and y in the diagram?
deff fn [24]
X and y are points that help u place other points
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