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Dmitry_Shevchenko [17]
3 years ago
8

stefan is three years younger than his sister katie. The sum of Stefans age three years ago and 2/3 of katies age at that time i

s 12.How old is Katie now. Show your work
Mathematics
2 answers:
sammy [17]3 years ago
3 0

If x is the age of S

And y is the age of K

So we have x=y+3

And the second equation is x-3 + 2/3)y = 12

We have to solve the system

x-y=3

x+2/3y=15

we find x=10.2 and y=7.2

<span>so Katie is 7 </span>

sergejj [24]3 years ago
3 0
Katie's age be k, then staefan's age = k - 3
(k - 3) - 3 + 2/3(k - 3) = 12
k - 6 + 2/3k - 2 = 12
5/3k - 8 = 12
5/3k = 12 + 8 = 20
k = (20 x 3) / 5 = 60/5 = 12 years.

Therefore, katie's age is 12 years old.
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So, the x coordinate of P will be - a + \frac{4}{2} i.e. a + 2

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3 years ago
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A supervisor must split 60 hours of overtime between five people. One employee must be assigned twice the number of hours as eac
Nezavi [6.7K]
<h3>4 people do 10 hours and one person does 20 hours</h3>

<em><u>Solution:</u></em>

Given that,

A supervisor must split 60 hours of overtime between five people

One employee must be assigned twice the number of hours as each of the other four employees

Let  "x" be the number of hours overtime per person.

One person does 2x hours of overtime

Which means,

(number of hours overtime per person)(6 person) = 60 hours

6x = 60

x = 10

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What is the cross-sectional area of a cement pipe 2 in. thick with an inner diameter of 5 ft? Use pie 3.14.
Paul [167]

Answer:

1.60 ft^{2}

Step-by-step explanation:

Assuming that this is a cylindrical pipe, the area can be determined by applying the formula for calculating the area of a circle.

i.e Area = \pir^{2}

So that,

for the inner part of the pipe,

r = \frac{diameter}{2}

 = \frac{5}{2}

 = 2.5 feet

Area of the inner part of the pipe = \pir^{2}

                                 = 3.14 x (2.5)^{2}

                                 = 19.625

Are of the inner part of the pipe is 19.63 ft^{2}.

Total diameter of the pipe = 5 + 0.2

                                           = 5.2 feet

r = \frac{5.2}{2}

 = 2.6 feet

Area of the pipe = \pir^{2}

                            = 3.14 x (2.6)^{2}

                            = 21.2264

Area of the pipe is 21.23 ft^{2}.

Thus the cross sectional area = Area of the pipe - Area of the inner part of the pipe

                                           = 21.2264 - 19.625

                                           = 1.6014

The cross sectional area of the cement pipe is 1.60 ft^{2}.

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cestrela7 [59]

Answer:

4%

Step-by-step explanation:

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