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White raven [17]
3 years ago
15

Check whether the given value of x is a solution to the equation. Justify your answer. 1/3(x+4)=20. x=56. ​

Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0

Answer:

True, it is a solution

Step-by-step explanation:

First, let’s distribute 1/3 to x and 4

When we do this, we get:

1/3x+4/3=20

Now, we can solve the equation!

Subtract 4/3 from each side of the equation to isolate the x

We now have 1/3x=18 2/3

Now we divide 1/3 on each side to isolate the x (this is the same as multiplying by 3/1 on each side)

This gets us to x=56

So it is true

Hope this helps! (Please award branliest if possible)

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The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are
nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

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3 years ago
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The following sector has a radius of 10 inches and a central angle of 30 . Which of the following is its arc length, in inches?
Marianna [84]

Answer:

option 1

Step-by-step explanation:

step 1

Find the arc length of the complete circle

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step 2

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we know that

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so

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