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mr Goodwill [35]
3 years ago
7

2/3 (n - 6) = 5n - 43 PLEASE HELP! YOU WILL GET AT 12 POINTS SO PPLLLZZZ HELP

Mathematics
2 answers:
valkas [14]3 years ago
7 0
There are several methods you could use, to solve this problem. I'll show you ONE way :)
Working:
 - We need to expand the brackets first.
Thus,
multiply 2/3 to each term in side the bracket.
2 × n = 2n then divide 2n to the denominator. 
2n ÷ 3  becomes, 2/3n.
Following same method:
2 × -6 = -12
-12 ÷ 3 = -4
Answer for the expanded form is; 2/3n - 4 = 5n - 43.
From here, you need to place the like terms on one side of the equation.
So,
2/3n - 5n = -43 + 4
-13/3n = -39
Then divide the coefficent (-13/3) on both sides. 
n = 9

I'll upload a picture of my workings. It cuts of the question, but that's fine, you can still see the working out. Chur
Hope this makes sense :)



CaHeK987 [17]3 years ago
4 0
Solve for n by simplifying both sides of the equation, then isolating the variable
n=9
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Consider the following operations on the number 8.82 x 10^-2. Without using a calculator, decide which would give a significantl
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Correct question is;

Consider the following operations on the number 8.85 x 10^(-2). Without using a calculator, decide which would give a significantly smaller value than 8.85 x 10^(-2), which would give a significantly larger value, or which would give essentially the same value.

A) 8.85 × 10^(-2) + 6.69 × 10^(5)

B) 8.85 x 10^(-2) - 6.69 x 10^(5)

C) 8.85 x 10^(-2) x 6.69 x 10^(5)

D) 8.85 × 10^(-2) ÷ 6.69 × 10^(5)

Answer:

Option A & B yield essentially the same value.

Option C yields a significantly smaller value

Option D yields a significantly larger value

Step-by-step explanation:

Since given value for the operations is in 10^(-2) indices, then let's convert the operations numbers from 10^(5) indices to 10^(-2).

Thus;

6.69 × 10^(5) = (6.69 × 10^(-7)) × 10^(-2)

Thus;

A) 8.85 × 10^(-2) + 6.69 × 10^(5) is now;

8.85 × 10^(-2) + ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 + (6.69 × 10^(-7))] × 10^(-2)

The 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same

B) 8.85 x 10^(-2) - 6.69 x 10^(5) is now;

8.85 × 10^(-2) - ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 - (6.69 × 10^(-7))] × 10^(-2)

Again the 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same.

C) 8.85 x 10^(-2) x 6.69 x 10^(5) is now;

(8.85 × 10^(-2)) × ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 × (6.69 × 10^(-7))] × 10^(-2)

When we multiply 8.85 by 6.69 × 10^(-7), the value gotten will be way lower than the initial value of 8.85.

Thus,this operation will give a significantly smaller value.

D) (8.85 × 10-2) ÷ (6.69 × 10^5) is now;

(8.85 × 10^(-2)) ÷ ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 ÷ (6.69 × 10^(-7))] × 10^(-2)

When we carry out the operation:

8.85 ÷ (6.69 × 10^(-7)), it is essentially equal to (8.85 × 10^(7))/6.69.

This means that the new value would be significantly larger than the initial value of 8.85.

Thus,this operation yields a significantly larger value.

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