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trasher [3.6K]
3 years ago
12

A student solved this problem and said the answer is about 7 quarts. Eddie has paint left over from a project. He has 2 fraction

numerator 1 star times text   end text over denominator 6 star times text   end text star times text   end text end fraction qt of white, 3 fraction numerator 1 star times text   end text over denominator 2 star times text   end text end fraction qt of green, and 1 fraction numerator 3 star times text   end text over denominator 4 star times text   end text end fraction qt of yellow left. What is the total amount of paint that Eddie has left over? Is the student's answer reasonable? A. Yes, the answer is reasonable. B. No, the answer is not reasonable. It should be about 5 quarts. C. No, the answer is not reasonable. It should be about 10 quarts. D. No, the answer is not reasonable. It should be about 8 quarts.
Mathematics
2 answers:
kati45 [8]3 years ago
5 0
The anwser would be C. trust me i just took this test

Artyom0805 [142]3 years ago
3 0
Given:
2 1/6 quarts of white
3 1/2 quarts of green
1 3/4 quarts of yellow

Add up all the fractions.
1) convert to improper fractions:
2 1/6 → (6*2) + 1 = 13/6
3 1/2 → (2*3) + 1 = 7/2
1 3/4 → (4*1) + 3 = 7/4

2) Identify LCD and multiply each fraction to reach the LCD. LCD is 12.
13/6 * 2/2 = 26/12
7/2 * 6/6 = 42/12
7/4 * 3/3 = 21/12

26/12 + 42/12 + 21/12 = (26+42+21) / 12 = 89/12 

89/12 must be converted into a mixed fraction  which will result to 7 5/12

A. Yes, the answer is reasonable.

89/12 or 7 5/12 is 7.42 in decimal form. It can be rounded down to the nearest whole number which is 7.
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Write a function modeling this debt situation if the initial debt in 2009 was
Karolina [17]

Answer:

To solve this, we are going to use the standard decay function where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

I will tell Greece to decrease their expending by 25%

To find our decay factor , we are going to convert the rate from percentage to decimal; to do it, we are going to divide the rate by 100%

Decay factor =

Decay factor =

Decay factor = (0.75)

We can conclude that our decay factor is (0.75)

c. To solve this, we are going to use the standard decay function  from our previous point.

where

is the final amount remaining after  years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

We know from our problem that the initial debt in 2009 was $500 billion, so ; we also know from our previous calculation that our decay factor is (0.75), so lets replace those values in our function:

We can conclude that the function that model this debt situation is: .

Greece will be debt-free when heir debt is zero. Translating this into our model, Greece will be debt-free when . Since we will need logarithms to find the time , and the logarithm of zero is not defined, we are going to use a small value for , so we can use logarithms to find .

Let . After all, a $1 debt for a country is practically the same as being debt-free.

Now, we can solve for  using logarithms:

We can conclude that, with me in charge, Greece will be debt free after 93.6 years. I won't reconsider my answer b. Even tough 93.6 years is a lot of time, decreasing the public expense more than 25% will have worse consequences for the economy of the country than the debt itself.

6 0
2 years ago
Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna
Debora [2.8K]

Answer:

The answer is 1/2

Step-by-step explanation:

First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.

To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.

Next you add the two fractions: 6/8 + 3/8 = 9/8

Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8

After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8

So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.

So Luna's glass only has 1/2 in the cup.

Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.

4 0
3 years ago
Please answer this correctly without making mistakes
IrinaVladis [17]

Answer:

44 5/6 "the second one"

5 0
3 years ago
9. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of
IceJOKER [234]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

A = P(1 + \frac{r}{n})^{nt}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

Learn more about Compound Interest:

brainly.com/question/25857212

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2 years ago
The regular price of a child's entry ticket to a water park is $9 less than that for an adult's. The park offers half off all en
Brut [27]
The correct answer is $51

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3 years ago
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