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djverab [1.8K]
2 years ago
14

Ellen said she spent half her money for lunch and half of what was left for a movie. She now has $1.20. How much did she spend f

or lunch?
Devise a plan

Carry out the plan

Look back (is it reasonable? Did we answer the question?)
Mathematics
1 answer:
goldenfox [79]2 years ago
8 0

Answer: She spend $1.20 for lunch.

Step-by-step explanation:

Let the total amount be 'x'.

Half of her money spend for lunch be \dfrac{x}{2}

Half of her money left for a movie be \dfrac{x}{2}

Amount she has now = $1.20

So, According to question, it becomes ,

\dfrac{x}{2}=1.20\\\\x=1.20\times 2\\\\x=\$2.40

Hence, Amount she spend for lunch is \dfrac{x}{2}=\dfrac{2.40}{2}=\$1.20

Therefore, she spend $1.20 for lunch.

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There are 5 4/5 cups of milk left in a carton write 5 4/5 as an improper fraction
VMariaS [17]
Hello! And thank you for your question!

To get a improper fraction:

times the denominator by the whole number. Then add the numerator.

5*5=25+4=29.

Final Answer:

29/5
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Hello there,

There is a total of 40 animals in that in 10 zebras, 10 lions, 10 elephants, and 10 monkeys.
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I hope this helps!
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Jimmy made a 15% profit on the sale of a custom designed boat, and the original cost of the boat was $15,000. The boat sold for
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but that would be Jimmy's profit
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Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

I = (x × 1.8 × 1)/100 = 0.018y

if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

Therefore,

0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

6 0
2 years ago
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