Pablo folds a straw into a triangle with side lengths of 4x2 – 3 inches, 4x2 – 2 inches, and 4x2 – 1 inches. The perimeter of the triangle is 12x2 – 6 inches. If x = 1.5, what was the length of the straw before it was folded?

Answers

Answer 1
Answer: side 1 : 4x² - 3 inches
side 2 : 4x² - 2 inches
side 3 : 4x² - 1 inches

perimeter = 12x² - 6 inches

x = 1.5

12(1.5²) = 12(2.25) = 27 inches

I think the length of the straw before it was folded was 27 inches. - 6 inches is the fold of the straw.

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After 4,000 gallons of water were added to a large water tank that was already filled to 3/4 of its capacity, the tank was then at 4/5 of its capacity. How many gallons of water does the tank hold when filled to capacity?(A) 5,000(B) 6,200(C) 20,000(D) 40,000(E) 80,000

Answers

Answer:  The correct option is

(E) 80,000.

Step-by-step explanation:  Given that after adding 4,000 gallons of water to a large tank that was already filled to (3)/(4) of its capacity, the tank was then at \drac{4}{5} of its capacity.

We are to find the number of gallons of water that the tank hold when filled to capacity.

Let the tank can hold x gallons of water when filled to capacity.

Then, according to the given information, we have

(3)/(4)x+4000=(4)/(5)x\n\n\n\Rightarrow (4)/(5)x-(3)/(4)x=4000\n\n\n\Rightarrow (16-15)/(20)x=4000\n\n\Rightarrow x=4000*20\n\n\Rightarrow x=80000.

Thus, the required capacity of the tank is 80,000 gallons of water.

Option (E) is CORRECT.

Two and ninety-six hundreths in decimal form

Answers

Answer: Two and ninety-six hundredths in decimal form would be 2.96!

Step-by-step explanation:

What can multiply to 1500 and add up to 20

Answers

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A book sold 38.400 copies in its first month of release. Suppose this represents 7.3% of the number of copies sold todate. How many copies have been sold to date?Round your answer to the nearest whole number

Answers

Since 38400 is 7.3% of the number of copies, then we can calculate the total number of copies with:

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Answers

August is the 8th month
This means Kelli has called her grandmother 8 times
As she calls her cousin every other month and starts in January, this means she calls in January, March, May and July- 4 times.
Therefore, 8+4=12
Kelli has made 12 calls so far
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Answers

1) Mean: 14.567
2) Sample size: 30
3) Standard deviation: 1.647
4) Median: 14.5
5) margin of error: 0.601
6) upper confidence level: 15.168 
7) lower confidence level: 13.966
8) Maximum value: 18
9) first quartile: 13
10) third quartile : 16