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Brums [2.3K]
3 years ago
9

You are the administrator of an annual essay contest scholarship fund. This year a $80,000 college scholarship is being divided

between the top two contestants so that the winner receives four times as much as the runner-up. How much will each contestant receive (in dollars)? runner-up amount : winner amount:
Mathematics
1 answer:
Lana71 [14]3 years ago
3 0

Answer:

Runner Up Amount=$16,000

Winner Amount=$64,000

Step-by-step explanation:

Amount of the college's scholarship=$80,000

The fund is being divided between the top two contestants so that the winner receives four times as much as the runner-up.

Therefore: we can say it is being divided into 5 parts where the winner gets 4 parts and the runner up gets 1 part, i.e in the ratio 4:1.

Runner Up Amount=\dfrac{1}{5}X\$ $80,000=\$16000

Winner Amount=\dfrac{4}{5}X\$ $80,000=\$64000

The winner gets $64,000 and the runner up gets $16,000.

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Help help math suckssss
stiv31 [10]

Answer:

12, 20

Step-by-step explanation:

3/8 of 32 is 12. She ate 3/8, so she ate 12 apples. The question wants to know how many are left over, so you subtract 12 from 32 and get 20.

5 0
3 years ago
How to solve 32-2(23-16)+4*4*3
scoundrel [369]

Answer:

66

Step-by-step explanation:

Order of operations:

32-2(7)+4*4*3

32-14+48

66

4 0
3 years ago
Read 2 more answers
The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under
Ann [662]

Answer:

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

Step-by-step explanation:

Data given and notation  

\bar X=1.20 represent the sample mean given

\sigma = 0.14 represent the population standard deviation

n=49 sample size  

\mu_o =1.25 represent the value that we want to test

t would represent the statistic (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1.25  

Alternative hypothesis:\mu < 1.25  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

5 0
3 years ago
How to write 3,028,002 In Word Form
allsm [11]
<span>three million twenty eight thousand two=3,028,002
</span>
5 0
3 years ago
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What type of triangle has no sides that are the same ?
Goryan [66]

Answer:

Scalene Triangle

Step-by-step explanation:

A triangle with all different sides is a scalene triangle.

Hope this helps!

Please mark brainliest!

8 0
3 years ago
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