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77julia77 [94]
3 years ago
12

After buying school supplies Hazel has $1.79 in change. She bought a notebook for $3.49 and a box of pens for $2.98 how much mon

ey did she originally have ?
Mathematics
1 answer:
myrzilka [38]3 years ago
4 0
You start with x- $3.49+$2.98= $1.79, x being the total she started with. Add the prices of the notebook ($3.49) and the pen's prize (2.98), that will equal $6.47, so our equation will be X-$6.47 =$1.79, Add 6.47 to both sides and you get X= $1.79 +$6.47 , add them together and X = $8.26. That's her original money she had.
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A theatre ticket costs £37 plus a booking fee of 4%.<br>What is the total price of the ticket?​
Studentka2010 [4]

Answer:

£38.48

Step-by-step explanation:

First, we have to find what 4% of 37 is, so our equation is:

37 x 0.04 = 1.48

Then we have to add that 4% to the original cost:

1.48 + 37 = 38.48

So the total price of the theatre ticket is  £38.48

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A large bottle holds 250% as much water as a small bottle. If the small bottle holds 12 ounces of water, how many ounces of wate
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Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
soldier1979 [14.2K]

Answer:

we have:

8x³ + mx² - 6x + n

= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n

= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)

= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)

because the remainder if divided by (x-1) is 2

=> m + n + 2 = 2

⇔ m + n = 0 (1)

we also have:

8x³ + mx² - 6x + n

= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m +  18) + n +9/4m + 18              

= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18

= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18

 because the remainder if divided by  (2x - 3) is 8

=> 9/4m + n + 18 = 8

⇔ 9/4m + n = -10 (2)

from (1) and (2), we have:

m + n = 0

9/4m + n = -10

=> m = -8

      n = 8

Step-by-step explanation:

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I would say C 9 because the only term with a 9 in it is 9f4g
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