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Kamila [148]
3 years ago
9

Julia spent $60 on a book. the cost of the book was $20 less than twice what she spent on a backpack. how much did the backpack

cost? express your answer numerically in dollars.mastering chemistry
Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0
If we assume that Jane spent $ x on the black pack 
Then the cost of the book is $ 20 less that twice the cos of the black pack,
Then twice the cost of black pack is 2x, then less $ 20 we get  2x-20
 Hence , 60 =2x-20
           solving for x 
                   x = 40
Therefore, the cost of the black pack is $40.
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Which is the factorization of 8x2 13x – 6? (8x – 3)(x 2) (x – 6)(8x 1) (2x – 2)(4x 3) (4x – 1)(2x 6)
vagabundo [1.1K]

we have

8x^2+13x - 6

Equate the function to zero

8x^2+13x - 6=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

8x^2+13x = 6

Factor the leading coefficient

8(x^2+\frac{13}{8}x) = 6

Complete the square. Remember to balance the equation by adding the same constants to each side.

8(x^2+\frac{13}{8}x) = 6

8(x^2+\frac{13}{8}x+\frac{169}{256}) = 6 +\frac{169}{32} \\ \\ 8(x+\frac{13}{16} )^{2} =\frac{361}{32} \\ \\ (x+\frac{13}{16} )^{2} =\frac{361}{256}\\ \\ (x+\frac{13}{16} ) =(+/-)\sqrt{\frac{361}{256}} \\ \\ (x+\frac{13}{16} ) =(+/-)\frac{19}{16}  \\ \\ x1=-\frac{13}{16} +\frac{19}{16} =\frac{6}{16}\\ \\ x2=-\frac{13}{16} -\frac{19}{16}=-2

the factorization is equal to

8*(x-\frac{6}{16} )*(x+2)=(8x-3)*(x+2)

therefore

<u>the answer is</u>

(8x-3)*(x+2)




3 0
3 years ago
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The total for some groceries at the store was $25.63. With 8% sales tax, what is the total? $
ozzi

Answer:

$2.05

Step-by-step explanation:

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7 0
3 years ago
F
Burka [1]

Answer:

12

Step-by-step explanation:

F \alpha \frac{1}{d^{2} }

F = \frac{K}{d^{2} }

When F = 18; d = 2

18 = \frac{K}{2^{2} }

18 = \frac{K}{4}

Cross multiply;

18 x 4 = K

72 = K

There the equation connecting F and d^{2} is

F = \frac{72}{d}

Now, Find F when d = 6

All you do is to substitute d = 6 in to F = \frac{72}{d}

F = \frac{72}{6}

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Please mark me brainiest if correct.

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3 years ago
I need help on this, I have no idea what I’m doing
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which problems? i can teach you how to do them if you want me too.

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