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Norma-Jean [14]
3 years ago
15

A container of oatmeal in the shape of a cylinder has a surface area of 47.5pi square centimeters. The height of the container i

s 7 centimeters. What is the radius of the base of the cylinder?
Mathematics
1 answer:
Llana [10]3 years ago
3 0

Answer:

  2.5 cm

Step-by-step explanation:

The total surface area of a cylinder is the sum of the two base areas and the lateral area.

 S = 2πr² +2πrh

Filling in the given information, we have ...

  47.5π = 2πr² +14πr

  23.75 = r² +7r . . . . . divide by 2π

  23.75 +12.25 = r² +7r +12.25 . . . . . . add the square of 7/2 to complete the square

  36 = (r +3.5)² . . . . simplify a bit

  6 = r +3.5 . . . . . . . take the positive square root

  2.5 = r . . . . . . . . . . subtract 3.5

The radius of the base of the cylinder is 2.5 cm.

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Each course at a community college is worth 1 or 2 credits. A group of students is taking a total of 16 courses that are worth a
Anuta_ua [19.1K]

Answer:

They  are taking 12 2 credit courses

The are taking 4  1 credit courses

Step-by-step explanation:

x = 1 credit courses

y = 2 credit courses

The number of courses is 16

x+y = 16

The number of credits is 28 so multiply the course by the number of credits

1x+2y=28

Subtract the first equation from the second equation

x+2y =28

-x-y=-16

-----------------

y = 12

They  are taking 12 2 credit courses

We still need to find the 1 credit courses

x+y = 16

x+12= 16

Subtract 12 from each side

x-12-12 = 16-12

x =4

The are taking 4  1 credit courses

6 0
3 years ago
Please please solve the whole page please
marishachu [46]

Answer:

Step-by-step explanation:

1. 94/100=0.94=94%

2.15/20=0.75=75%

3. 4/10=0.4=40%

4. 3/100=x/100 》x=3

5. 80/100=x/30 》x=2400/100=24

6. 30/100=x/10 》x=3

7. 2/5=0.4=40%

8. 60/100=x/5 》 x=300/100=3

9. 50/100*x=150 》 50x=15000 》x=300

10. 3/5=0.6=60% 》 100%-60%=40%

7 0
2 years ago
Allyson Greve has calculated her federal taxable income to be $45,300. She pays a state income tax rate of 3% on her federal tax
valentinak56 [21]

Answer:

1,359

Step-by-step explanation:

3% of 45,300 is 1,359

4 0
3 years ago
Kira walks 8 and a half blocks in 17 minutes. If Kira continues to walk at a steady pace, how many blocks will she walk each min
nlexa [21]

Answer:

Half a block ( 0.5 or 1/2 )

Step-by-step explanation:

8 1/2  blocks can also be written as 8.5 blocks.

If Kira walks 8.5 blocks in 17 minutes [and continues to walk at this steady pace], divide 8.5 by 17.

8.5/17 = 0.5

So, Kira walked 0.5 or 1/2 blocks in a minute.

I hope this helps! :)

5 0
3 years ago
Henry eats 1/3 of a loaf of bread in 2 days. How many loaves of bread will he eat in 10 days?
Vikki [24]

Answer:

1 2/3

Step-by-step explanation:

(1/3) in 2 days

x5

(5/3) in 10 days

or

1 2/3

5 0
4 years ago
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