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Mumz [18]
2 years ago
13

Lacey is attending a university where the cost for one year is $10,500. She has a scholarship worth $6,000 and a grant worth $90

0. She earns $45 a day at her job. How many days does she need to work to pay for 50% of the remaining amount?
Mathematics
1 answer:
Alexus [3.1K]2 years ago
7 0
She needs to work 40 days. $10,500 - $6,900 = $3,600. Half of this is $1800, so then we set up an equation. If d represents days, the 45d = $1800. Divide each side by 45 to isolate the variable. $1800 divided by 45 gives us 40 days (d = 40).
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1 year ago
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30 PTS!!!!! Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day. Cole plans to eat multiple ba
ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

<u>Part A:</u> If Cole eats 3​ bananas each day. These 3 bananas contain 3\cdot 0.3=0.9 mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4​ mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

0.9+4x\ mg

Cole needs to include at least 11​ mg and at most 22​ mg of iron in his diet each day, so

11\le 0.9+4x\le 22

Solve it:

11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

<u>Part B: </u>Cole continues to eat 3​ bananas each day. He pays \$2\cdot 7=\$14 for bananas per week.

If Cole spends a total of $20​ on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10​ vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2​ additional vitamins he purchases) and they cost

\$0.50(x-10)

This amount of money is exactly $6, so

0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on  answer in Part A.

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Three students solve a challenge math problem. Every day, the number of students who solve the problem doubles. There are 384 st
attashe74 [19]

OK, so this is assuming we are considering that the first three kids to solve ARE NOT in the first day.


So we have 3 kids and it doubles

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Day 3 : 24

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The equation:

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8 0
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