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Sever21 [200]
3 years ago
15

someone thinks of a number when he multiplied his number by 5 and subtracts 16 from the result he gets the same answer as when h

e adds 10 to his number and multiplies that result by 3 finder the number hes thinking of
Mathematics
1 answer:
svlad2 [7]3 years ago
7 0
Let's call his secret number 'M' (for mystery-number).

multiplied it by 5 . . . 5M
subtracted 16 from the result . . . 5M - 16

adds 10 to the number . . . M + 10
multiplies that result by 3 . . .  3(M+10)

Both processes produce the same results:

                                             5M - 16  =  3 (M + 10)

Eliminate parentheses
on the right side:                 5M - 16  =  3M + 30

Subtract  3M 
from each side:                   2M - 16  =           30

Add  16  to each side:        2M          =           46

Divide each side by  2 :        M          =           23
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A can holds 4 golf balls. The diameter of each golf ball is 5 cm. What is the volume of the empty space inside the can?
forsale [732]

Answer:

Volume of the empty space in the can  is 327.05  cm^3

Step-by-step explanation:

Given:

Number of golf ball the can holds = 4

Diameter of the golf ball = 5 cm

To Find:

Volume of the empty space in the can = ?

Solution:

Step 1:  Finding the volume of one golf ball

Ball is shape of the sphere

So lets use the volume of the sphere formula

Volume of the  golf ball = \frac{4}{3}\pi r^3

Radius =\frac{5}{2} = 2.5 cm

Substituting the values

Volume of the  golf ball  

=\frac{4}{3} \pi \times(2.5)^3

=\frac{4}{3} \pi \times (15.625)

= \frac{4}{3} \times 49.06

= \frac{196.24}{3}

= 65.41

Step 2:  Finding the volume of empty space of the can

volume of empty space of the can =  volume of 5 golf ball

= 5 X 65.41

= 327.05

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