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rosijanka [135]
3 years ago
6

A package of 6 pairs of insulated socks costs $34.14. What is the unit price of the pairs of socks?​

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

Answer:

\boxed {\tt \$5.69 \ per \ pair}

Step-by-step explanation:

We want to find the unit price for the insulated socks, or the price per pair of insulated socks. To find the unit price, we must divide the cost by the pairs of socks.

unit \ price =\frac{cost}{pairs}

We know that it costs $34.14 for 6 pairs of socks.

unit \ price =\frac{\$34.14}{6 \ pairs}

Divide.

unit \ price = \$5.69 / pair

The unit price is $5.69 per pair of insulated socks.

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Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated
My name is Ann [436]
To solve using completing square method we proceed as follows:
x^2-10x+8=0
x^2-10x=-8
but
c=(b/2)^2
c=(10/2)^2=25
thus we can add this in our expression to get
x^2-10x+25=8+25
factorizing the LHS we get:
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getting the square roots of both sides we have:
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3 years ago
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Lauren has an above-ground pool. to keep the pool's skimmer working well, the water level must be 4 inches from the top of the p
Ostrovityanka [42]

1885.5 m^3 of water will fill the container.

To find how many cubic feet of water will it contain:

Given -

  • Lauren has an above-ground swimming pool.
  • The water level in the pool must be 4 inches above the pool's surface in order for the skimmer to function properly. 
  • π = 3.14

The pool comprises a 12-foot-radius cylinder with a height of 4.5 feet.

  • Height of pool = 4.5 ft
  • Radius of pool = 12 ft
  • The height of the water is 4 inches below the pool top
  • 12 inches make 1 ft
  • 4 inches = 4/12 ft = 0.33 ft
  • Therefore, height of water = 4.5 - 0.33 = 4.17 ft

The volume of the water in this section of the cylinder will be equal to the volume of the cylinder formed.

  • The volume of the cylinder formed by the water = volume of water = \pi r^{2} h
  • volume = 3.14 x 12^{2} x 4.17 = 1885.5 m^3 of water

Therefore, 1885.5 m^3 of water will fill the container.

Know more about volumes here:

brainly.com/question/1972490

#SPJ4

The complete question is given below:

Lauren has an above-ground pool. To keep the pool's skimmer working well, the water level must be 4 inches from the top of the pool. When the pool is filled to this recommended level, approximately how many cubic feet of water will it contain? Use π = 3.14

A cylinder with a radius of 12 feet and a height of 4.5 feet.

7 0
2 years ago
Increase 120 centimetres by 24%
Eva8 [605]
It is a simple problem where 120 centimeters need to be increased by 24%. The increased length can be found by:
120 * (24/100)
= 12 * (24/10)
= 288/10
= 28.8 centimeters
Then the total length of increase = 28.8 cm
Then the increased length = (120 + 28.8) cm
                                         = 148.8 cm
So the length becomes 148.8 cm after it is increased by 24%.
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4 years ago
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Answer:it’s a

Step-by-step explanation:

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