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madreJ [45]
3 years ago
5

Find the value of xFind the value of xFind the value of x

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

x = 11

Step-by-step explanation:

\frac{x + 2}{6}   -  \bigg( \frac{11 -x }{3}  -  \frac{1}{4}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2(x + 2)}{2 \times 6}   -  \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4}{12}   -  \bigg( \frac{4 4 - 4x- 3}{12}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4}{12}   -  \bigg( \frac{41 - 4x}{12}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}}  =  \frac{3x - 4}{ \cancel{12}}  \\  \\ 6x - 37 = 3x - 4 \\  \\ 6x - 3x = 37 - 4 \\  \\ 3x = 33 \\  \\ x =  \frac{33}{3}  \\  \\ \huge \red{ \boxed{ x = 11}}

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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

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=\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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