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sammy [17]
3 years ago
10

What is the value of n in the equation below 9n-24=4n+6

Mathematics
2 answers:
Stels [109]3 years ago
3 0

Answer:

n = 6

Step-by-step explanation:

9n - 24 = 4n + 6              {Subtract 4n from both sides }

9n - 24 -4n = 6

       5n - 24 = 6               {Add 24 to both sides}  

               5n = 6 + 24

               5n = 30

                 n = 30/5

n = 6

AysviL [449]3 years ago
3 0

Answer:

n=6

Step-by-step explanation:

Simplifying

9n + -24 = 4n + 6

Reorder the terms:

-24 + 9n = 4n + 6

Reorder the terms:

-24 + 9n = 6 + 4n

Solving

-24 + 9n = 6 + 4n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-4n' to each side of the equation.

-24 + 9n + -4n = 6 + 4n + -4n

Combine like terms: 9n + -4n = 5n

-24 + 5n = 6 + 4n + -4n

Combine like terms: 4n + -4n = 0

-24 + 5n = 6 + 0

-24 + 5n = 6

Add '24' to each side of the equation.

-24 + 24 + 5n = 6 + 24

Combine like terms: -24 + 24 = 0

0 + 5n = 6 + 24

5n = 6 + 24

Combine like terms: 6 + 24 = 30

5n = 30

Divide each side by '5'.

n = 6

Simplifying

n = 6

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The 60-foot rope was cut into two pieces. One of the pieces was 10 feet longer than 4 times the length of the other piece. How l
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Answer:

50 and 10

Step-by-step explanation:

x+4x+10=y

y is 60

x+4x+10=60

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3 0
3 years ago
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 a
Nata [24]

Answer:

Let x represents the week and y represents the amount of money.

As per the given statement:

Diego has $11 and begins $5 each week toward buying a new phone.

⇒               ......[1]

It is also given that Lin $60 and begins spending $2 per week.

⇒               ....[2]

when they have the same amount.

equate [1] and [2] we get;

Add both sides 2x we get;

Subtract 11 from both sides we get;

Divide both sides by 7 we get;

x = 7

Substitute the value of x = 7 in [1] we have;

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Step-by-step explanation:

6 0
3 years ago
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Answer:

1 1/6

Step-by-step explanation:

4 2/3 ÷ 4

Convert the mixed number into an improper fraction:

4 2/3 = 14/3

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14/3 ÷ 4/1

Use cdf (copy dot flip)

14/3 × 1/4

14 × 1 / 3 × 4

14/12

Convert improper fraction into a mixed number:

14/12 = 1 2/12

1 1/6

6 0
3 years ago
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