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Vikentia [17]
3 years ago
12

If 4 is subtracted from twice a number, the result is 10 less than the number. Find the number.

Mathematics
2 answers:
Alina [70]3 years ago
4 0

Answer: -6

Step-by-step explanation:

Let x= the number

2x-4=x-10 ⇔ according to the statement

  x-4=-10 ⇔ subtraction property of equality (subtract x from both sides)

     x=-6 ⇔ addition property of equality (add 4 on both sides)

Hope this helps!! :)

Please let me know if you have any question

saveliy_v [14]3 years ago
3 0

Answer:

n = -6

Step-by-step explanation:

Alright so this can be solved by using variables. Let's say n = number.

4 subtracted from twice a number can be represented as 2n - 4.

10 less than the number can be represented as n - 10.

Since the outcome of the first expression is equal to the second, we can set them equal to each other to solve:

2n - 4 = n - 10.

Then you isolate n by adding 4 to both sides...

2n = n - 6,

... then subtracting n from both sides:

n = -6

There you go!

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1 year ago
Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of
RUDIKE [14]

Answer:

Part a) V=1,000\ ft^{3}

Part b) h=5\ ft

Part c) =718\ gal

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

V=LWH

substitute the values

V=(25)(8)(5)=1,000\ ft^{3}

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

V=1,000\ ft^{3}

r=16/2=8\ ft ----> the radius is half the diameter

substitute and solve for h

1,000=\pi (8)^{2} h

h=1,000/(64 \pi)

h=1,000/(64*3.14)=5\ ft

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

Find the volume of water  for h=5-0.5=4.5\ ft

V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}

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the volume of water evaporated is equal to

1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}

convert to gallons

remember that

1\ ft^{3}=7.5\ gal

so

95.68\ ft^{3}=95.68*7.5=718\ gal

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Answer:

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