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valkas [14]
4 years ago
8

Emily is entering a bicycle race for charity. her mother pledges $0.80 for every 0.5 mile she bikes. if emily bikes 14 miles, ho

w much will her mother donate?
Mathematics
2 answers:
wariber [46]4 years ago
4 0
I believe the answer is $11.20
dimaraw [331]4 years ago
3 0
The answer to your question is $11.20.
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You need to add them all up
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emma is planning a surprise party. She is considering using one of two venues. The banquet of hall A will cost $862 fot a reserv
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Ok for this problem, there are 2 equations representing hall A and hall B

hall A:  y=76x+862 where x=number of dinners and y=total cost

hall B:  y=75x+894 for the same variables

To find where the 2 meet, simply substitute one equation into the other, creating:  76x+862=75x+894

Solving this, we find that x=32, so at 32 guests, the cost would be the same

For part 2, put the answer for part 1 into either equation from the start, so y=76(32)+862, or y=3294

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3 years ago
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xxTIMURxx [149]

Answer:

A

Step-by-step explanation:

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7 0
2 years ago
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At a basketball game, an air cannon launches T-shirts into the crowd. The function y=−1/8x^2 + 4x represents the path of a T-shi
Juliette [100K]

Answer:

The T-shirt lands in the bleachers at a height of 14 feet.

Step-by-step explanation:

The point where they meet is the solution of the simultaneous system of equations:

y = -\frac{1}{8}x^2+4x...........................................(1)

3y = 2x - 14..............................................(2)

From (2),

y = \frac{2}{3}x-\frac{14}{3}.................................................(3)

Substituting (3) in (1),

\frac{2}{3}x-\frac{14}{3} =  -\frac{1}{8}x^2+4x

Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)

(24\times\frac{2}{3}x)-(24\times\frac{14}{3}) =  (-24\times \frac{1}{8}x^2)+(24\times4x)

16x - 112 = -3x^2+96x

3x^2-80x -112 = 0

(x-28)(3x+4) = 0

x-28 = 0                 OR        3x+4=0

x=28                       OR        x = -\frac{4}{3}

The value of <em>y</em> represents the height.

Substituting for <em>x</em> in (3)

y = \frac{2}{3}\times28-\frac{14}{3} = \frac{56}{3} - \frac{14}{3} = 14

y = \frac{2}{3}\times(-\frac{4}{3})-\frac{14}{3} = -\frac{8}{9} - \frac{14}{3} = -\frac{50}{9}

We discard the negative answer.

Hence, the T-shirt lands in the bleachers at a height of 14 feet.

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