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Montano1993 [528]
3 years ago
5

What is the value of n in the equation 1/2(n-1) - 3 = 3 - (2n + 3)?

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Hey there! :)

1/2(n - 1) - 3 = 3 - (2n + 3)

Simplify.

1/2n - 1/2 - 3 = 3 - 2n - 3

Add like terms.

1/2n - 3 1/2 = -2n

Add 3 1/2 to both sides.

1/2n = -2n + 3 1/2

Then, add 2n to both sides.

1/2n + 2n = 3 1/2

Simplify!

2 1/2n = 3 1/2

Make everything into improper fractions!

5/2n = 7/2

Multiply everything by 2 to get rid of the denominators.

5/2n × 2 = 7/2 × 2

Simplify!

5n = 7

Divide both sides by 5.

n = 7/5

Hope this helped! :)

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3 years ago
Alice Clark earns a 25% commission on all sales over $600 a month plus a $1000 monthly salary. If her sales this month are $2170
OlgaM077 [116]
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3 years ago
Makayla and Caroline go to the movie theater and purchase refreshments for their friends. Makayla spends a total of $49.00 on 9
gizmo_the_mogwai [7]

Answer:

Let the cost of each popcorn bag be x and cost of each  drink be y

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According to Question

9 x + 8 y= 49..................... equation (1)

Similarly , cost of 3 popcorn = 3 x

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Total money spent by Caroline= $ 17.25

According to Question

3 x+ 3 y= $ 17.25...................equation(2)

We can solve above equation by using elimination method

Multiply equation (2) by 3

9 x + 9 y =  51.75..................equation(3)

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Subtraction equation (1 ) from equation(3)

y = 2.75

put value of y  in any equation (2)

we get

3 x + 3 × 2.75 = 17.25

3 x +   8.25 = 17.25

3 x = 17.25 - 8.25

3 x = 9

x = 3

Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)

5 0
3 years ago
An edging was placed around a circular garden. How long was the edging if the radius of the garden was 3m. Use TT = 3.14
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