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jarptica [38.1K]
3 years ago
7

Carrie spent 1/4 of her allowance on a shirt 1/3 of her allowance Oscar and eight dollars on the bill if she spent 22 in all how

much was Carrie’s allowance
Mathematics
1 answer:
Lynna [10]3 years ago
4 0

Answer:  $24

<u>Step-by-step explanation:</u>

Let x represent the amount of Carrie's allowance.

\dfrac{1}{4}x+\dfrac{1}{3}x+8=22\\\\\\\dfrac{1}{4}x+\dfrac{1}{3}x=14\\\\\\(12)\dfrac{1}{4}x+(12)\dfrac{1}{3}x=(12)14\\\\\\3x + 4x = (12)14\\\\\\7x=(12)14\\\\\\x=(12)2\\\\\\x=24

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Find the dimensions of a rectangle whose width is 7 miles less than its length and whose areas is 78 square miles.
tatuchka [14]
W = L - 7
WL = 78

(L-7)L = 78

L^2 - 7L - 78 = 0
Factorize: (L-13)(L+6) = 0

L = 13 or -6

A length cannot be negative, so the length must be 13 miles.
The width is 13-7 = 6 miles.
8 0
4 years ago
8x - 3x + 2 - x = ax + b<br> solve for b
kkurt [141]

Answer:

b = -ax + 4x + 2

Step-by-step explanation:

8x - 3x + 2 - x = ax + b

~Combine like terms

4x + 2 = ax + b

~Subtract ax to both sides

4x - ax + 2 = b

~Rewrite

b = -ax + 4x + 2

Best of Luck!

8 0
2 years ago
SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR
kaheart [24]

Answer:

x = 5

Step-by-step explanation:

4x + 2y + z = 24

2x - 3y - z = 2

5x + y + 2z = 21

-----------------

Eliminate z

Add the 1st and 2nd eqn

4x + 2y + z = 24

2x - 3y - z = 2

----------------

6x - 1y = 26 eqn A

Multiply the 2nd eqn by 2, then add the 3rd.

4x - 6y -2z = 4

5x + y + 2z = 21

----------------

9x - 5y = 25 eqn B

---------------

Now you have 2 eqns in 2 unknowns, not 3.

Multiply eqn A by 5 and subtract eqn B.

30x - 5y = 130 eqn A times 5

9x - 5y = 25 eqn B

-------------

21x = 105

x = 5

4 0
3 years ago
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vovangra [49]

Answer:

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=200.96 inches²

Step-by-step explanation:

5 0
3 years ago
Is y^24 a perfect cube
dlinn [17]
Y^24 isn't a cube, the closest number is 27
8 0
3 years ago
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