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Pavlova-9 [17]
3 years ago
13

Valeria's office recycled a total of 44 kilograms of paper over 4 weeks. How many weeks will it take Valeria's office to recycle

a total of 66 kilograms of paper? Solve using unit rates.
Mathematics
1 answer:
diamong [38]3 years ago
8 0
The answer would be 6 weeks.

First, you do 44 divided by 4 to get 11 kg per week. Now you divide 66 by 11 to get 6 weeks.
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Twenty people apply for 5 job openings as teacher assistants. How many different groups of people can be hired?
iVinArrow [24]

Answer:

15504 different groups

Step-by-step explanation:

We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.

The formula for combination is:

C(n, p) = n! / (p! * (n-p)!)

In this case, we have n = 20 and p = 5, so:

C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504

So we have 15504 different groups.

8 0
3 years ago
You have found a home that you are interested in purchasing. Instead of a conventional loan, you agree to pay the premium for th
hodyreva [135]

Answer:

a.

$6,250

Step-by-step explanation:

Finances 95% of the loan.

So you have to pay 100% - 95% = 5% of the loan.

The amount of the home is listed at $125,000.

You have to pay 5% of this. So

0.05*125000 = $6,250

The answer is given by option A.

5 0
3 years ago
For what values of y:is the value of the fraction 7−2y /6 greater than the value of the fraction 3y−7 /12 ?
Fynjy0 [20]
Let's start by plugging in 1 for y. You get 7-2/6, which is 5/6. The other equation is 3-7/12, which equals -1/3. Now let's try 10. You get 7-2(10)/6, which is -13/6. The other equation is 3(10)-7/12, which is 23/12, and is larger!

1 is a value of y that could work!

Hope this helps!! :)
8 0
3 years ago
Read 2 more answers
Marie and Whitney order eggs for $4.35, pancakes for $3.10, and 2 mugs of cocoa for $1.45 each. The tax is $0.85. How much chang
svetlana [45]

Answer:

$3.80

Step-by-step explanation:

$4.35+$3.10+$1.45+$1.45+$0.85=$11.20

$15.00-$11.20=$3.80

6 0
3 years ago
Use the x-intercept method to find all real solutions of the equation. x^3-9x^2+11x+21=0
IgorLugansk [536]
We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:

The real solutions of the given equation are:x = -1, 3, and 7

7 0
3 years ago
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