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2 years ago

The price of an item has been reduced by 85%. The original price was $37.

1 answer:

7 0

Answer: Multiply the original price by the decimal form of the percent and subtract that from the original price.

37*0.85=31.45

37-31.45=5.55

Answer: New price is $5.55

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Can you see an easy way to work out the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%201%5E3%20%2B%202%5E3%20%2B%203%5E

Lina20 [59]

We have the sum of cubes identity

$a^3 + b^3 = (a + b) (a^2 - ab + b^2)$

and observing that 1 + 4 = 2 + 3, we have

$1^3 + 4^3 = (1 + 4) (1^2 - 4 + 4^2) = 5 \times 13$

and

$2^3 + 3^3 = (2 + 3) (2^2 - 6 + 3^2) = 5 \times 7$

Then

$\sqrt{1^3+2^3+3^3+4^3+5^3} = \sqrt{5\times13 + 5\times7 + 5\times5^2} = \sqrt{5 \times (20 + 25)} \\\\ ~~~~~~~~ = \sqrt{5^2 \times (4 + 5)} = \sqrt{5^2\times9} = \sqrt{5^2\times3^2} = 5\times3 = \boxed{15}$

Alternatively, we have the well-known sum of cubes formula

$\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4$

The sum under the square root is this sum with $n=5$ . Then

$1^3+2^3+3^3+4^3+5^3 = \dfrac{5^2\times6^2}4 = 225 = 15^2$

and so the square root again reduces to 15.

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1 year ago

The ratio is 5:3 there is 20 girls and 16 boys if three girls are absent what would the ratio be

Leokris [45]

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7 0

2 years ago

Read 2 more answers

How many repeating digits does the number 0.1515 have

timama [110]

Answer:

I suppose it has 4 digits.

Step-by-step explanation:

The fractional equivalent of the repeating decimal would be 15/99.

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2 years ago

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If y is 22.6 and c is 28.2, find b, rounded to the nearest tenth.

Nat2105 [25]

Can u send the question to be more clear

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3 years ago

Find the area of the given circle. Round to the nearest tenth.

Paha777 [63]

$diameter=12\ ft\\\\diameter=2\ radius\\\\2r=12\ ft.\ \ \ /:2\\r=6\ ft.\\\\A=\pi r^2\\\\A=\pi\cdot6^2=36\pi\ (ft^2)\approx36\cdot3.14=113.04\ (ft^2)\approx113.0\ (ft^2)$

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3 years ago