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Mrac [35]
3 years ago
14

One number is three less than two times another number. If the sum of the numbers is 15, find the numbers

Mathematics
1 answer:
evablogger [386]3 years ago
7 0

9514 1404 393

Answer:

  6, 9

Step-by-step explanation:

Let x represent one of the numbers. Then the other number is 15-x (because their sum is 15). The relation between the numbers is ...

  2x -3 = 15 -x . . . . . three less than twice one number is the other number

  3x = 18 . . . . . . add 3+x

  x = 6 . . . . . . divide by 3

  15-x = 9 . . . . find the other number

The two numbers are 6 and 9.

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Step-by-step explanation:

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A cylinder with height 10 inches and radius 4 inches is filled with water. The water is poured into a bowl
frez [133]

Answer:

Volume of water left in the cylinder=76\frac{2}{3}\pi \:in^3

Step-by-step explanation:

Height of the Cylinder=10 inches

Radius of the cylinder=4 Inches

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=\pi r^2h\\=4^2*10\pi\\=160\pi\:in^3

Radius of the Hemisphere=5 Inches

\text{Volume of a Hemisphere}=\frac{2}{3}\pi r^3\\ =\frac{2}{3}\pi *5^3\\=\frac{250\pi}{3} in^3

Since the Volume of the cylinder is greater than the Volume of the bowl, all the water will not fit.

\text{Therefore: volume of water left} =160\pi-\frac{250\pi}{3}\\=76\frac{2}{3}\pi \:in^3

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4 years ago
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Answer:

100 3/13

Step-by-step explanation:

1,303 ÷ 13= 100 3/13

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