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nirvana33 [79]
4 years ago
11

What is the solution to the equation?

Mathematics
2 answers:
pashok25 [27]4 years ago
4 0

Answer:

x= 27

Step-by-step explanation:

Move <u>constant</u> to the right-hand side and change its sign.

\sqrt{2x+10} = 2+6

Add the numbers.

\sqrt{2x+10}= 8

Square both sides of the equation.

2x+10= 64

Move the <u>constant</u> to the right-hand side and change its sign.

2x= 64-10

Subtract the numbers.

2x= 54

Divide both sides of the equation by 2.

x= 27

Mamont248 [21]4 years ago
3 0
Add 6 to 2

_/2x+10 = 8

Square both sides

2x + 10 = 64

Subtract 10

2x = 54

Divide two

X = 27
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The cable railway was driven by a 8 foot diameter drum that turned 13 revolutions per minute. Find the linear velocity of the ca
slava [35]

Answer:

The linear velocity of the cable ≅ 327 feet per minute.

Step-by-step explanation:

Given that the diameter of the drum = 8 feet

Radius of the drum = \frac{diameter}{2}

           = \frac{8}{2}

           = 4 feet

Radius of the drum = 4 feet

1 revolution = circumference of the drum

circumference of the drum = 2\pir

where r is the radius.

So that;

circumference of the drum = 2 x \frac{22}{7} x 4

                                             = \frac{176}{7}

                                            = 25.143

circumference of the drum = 25.143 feet

The linear velocity of the cable = (13 x 25.143) feet per minute

                               = 326.859 feet per minute

The linear velocity of the cable ≅ 327 feet per minute.

8 0
3 years ago
What is the prime factorization of 165 in expanded form?
Jobisdone [24]
<span>Prime Factors of 165 =3, 5, 11
                  Prime Factors Tree of 165
165
 /  \
3 55
/     \
5   11
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6 0
4 years ago
(1) Write the ratio of the volumes of the 500ml bottle and the 2-litre bottle of milk in its simplest form.
Vadim26 [7]

Answer:

1] 1 : 4

2] 250ml

Step-by-step explanation:

1] 500ml : 2 litre

First, the units must be the same.

<em> 2 litre = 2000ml</em>

500ml : 2000ml

     5 : 20

      <u>1 : 4</u>

<u></u>

2]  \frac{2}{4} × 500

= 250ml

8 0
3 years ago
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