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Anastasy [175]
2 years ago
10

7)

Mathematics
1 answer:
krek1111 [17]2 years ago
6 0

Answer:

A) 10

Step-by-step explanation:

Let the first integer be a+1. Then we wish to solve for the following:

(a+1) + (a+2) + \cdots + (a + n) + 100 = (a + (n + 1)) + (a + (n + 2)) + \cdots + (a + (2n))\\10a + (1 + 2 + \cdots + n) + 100 = 10a + ((n + 1) + (n + 2) + \cdots + (2n))\\\frac{1}{2}(n)(n + 1) + 100 = \frac{1}{2}(n)(3n + 1)\\n(n + 1) + 200 = n(3n + 1)\\n^2 + n + 200 = 3n^2 + n\\2n^2 = 200\\n^2 = 100\\n = 10 \quad \text{(because $n > 0$)}

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you have 4500 cubic centimeters of wax. how many cylindrical candles can you make from the wax if each candle is 15 cm tall and
ira [324]
Use the formula for the volume of a cylinder to work out how much wax you need to make one candle.

π×5²×15 = 375π

Then divide the amount of wax you have by the amount of wax you need to produce one candle to work out how many candles you can make.

4500 ÷ 375π = 3.82

However, you can't produce 82% of a candle, so you have to round down to 3 candles.
8 0
3 years ago
Tom rented a truck for one day. There was a base fee of 19.95 , and there was an additional charge of 85 cents for each mile dri
Sidana [21]

Answer:

231 miles.

Step-by-step explanation:

Tom rented a truck with a base fee of 19.95. You will subtract this from the total since you just want to get the mileage.

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(216.30-19.95=196.35) This will be total for each mile. All we need to do is divide to get the total of miles

(196.35÷.85= 231)

231 is the number of miles Tom drove.

4 0
2 years ago
Can someone help please
Airida [17]
Coordinate points on line(-3,-1) and (3,3)

Parallel lines have same slope
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Answer
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8 0
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nexus9112 [7]

the formula is

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3 years ago
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They are 6, 8, 10, 12 years old.

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