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Svetlanka [38]
3 years ago
6

You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided

between the top two contestants so that the winner receives five times as much as the runner-up. How much will each contestant receive (in dollars)?
runner-up amount :

winner amount:
Mathematics
1 answer:
Vinil7 [7]3 years ago
3 0

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

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riadik2000 [5.3K]
It would be E.
Pretty simple
7 0
3 years ago
Help me with this question
kirill115 [55]

Answer:

A

Step-by-step explanation:

This is an even polynomial because both ends end up. This means the degree of the polynomial is even. This means b and c are not solutions since their degrees are odd.

To determine between A and D look at the x-intercepts. The x-intercepts of a polynomial graph have a special relationship with its equation. The x-intercepts are the solutions or roots of the factors. This means that when each factor is set equal to 0 and solved, its solution is an x-intercept. Here the x-intercepts are x = -1, 0,3. This means the factors are x(x+1)(x-3).

Notice at x = -1, the function touches but does not cross? This means the factor has an even exponent on it.

So the expression is likely x(x+1)^2 (x-3).

Since only one factor has an exponent, the answer is A.

7 0
3 years ago
When a number is decreased by 23, the result is -9. find the number
Akimi4 [234]
14
subtract 9 from 23. you get 14, 14-23=-9
8 0
3 years ago
A roast requires 3 hours and 40 minutes in the oven to be cooked. In order to have the roast ready
denis-greek [22]

Answer:

2:50 PM

Step-by-step explanation:

Step 1: State what is given

Roast takes 3 hours and 40 minutes or 220 minutes

Need the roast to be done by 6:30 PM

Step 2: Subtract 3 hours from 6:30

6:30 - 3:00

3:30 PM

Step 3: Subtract 40 minutes from 3:30

3:30 - 40

2:50 PM

Therefore the roast needs to be put into the oven at 2:50 PM

5 0
3 years ago
Please help solve all of these-
lana [24]

Answer:

3−y

2. 8

4.​​2​bh

Step-by-step explanation:

5(2x+y)=15

2 Divide both sides by 55.

2x+y=\frac{15}{5}2x+y=

​5

​

​15

​​

3 Simplify  \frac{15}{5}

​5

​

​15

​​   to  33.

2x+y=32x+y=3

4 Subtract yy from both sides.

2x=3-y2x=3−y

5 Divide both sides by 22.

x=\frac{3-y}{2}x=

​2

​

1. ​3−y

​​ 2. 8

2.Add 2y2y to both sides.

x=-8+2yx=−8+2y

2 Regroup terms.

x=2y-8x=2y−8

7 0
3 years ago
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