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Sedaia [141]
2 years ago
5

Jack and Serena can write a lab report together in 12 hours. If all people work at the same rate, how many hours would it take t

o write a lab report if Kay joins Jack and Serena?
Mathematics
1 answer:
Softa [21]2 years ago
5 0
The answer would be 4 hours because 12/3 is 4
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The student weighs 108.8 pounds on saturn. 85x2.34=198.9 -90.1 = 108.8
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Add fractions with unlike denominators
stealth61 [152]

Answer:

1 5/12  i think im sorry if i get it wrong.

Step-by-step explanation:

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3 years ago
Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las t
Drupady [299]

Answer:

  • $5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

  • <em>One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?</em>

==================

Let the parts be x, y and z

<u>As per given we get below system of equations:</u>

  • x + y + z = 25000
  • 0.1x + 0.12y + 0.16z = 3200
  • 0.1x + 0.2y = 0.16z

<u>Substitute 0.1x + 0.2y in the second equation:</u>

  • 0.16z + 0.16z = 3200
  • 0.32z = 3200
  • z = 3200/0.32
  • z = 10000

<u>Now we have:</u>

  • x + y + 10000 = 25000 ⇒ x + y = 15000

and

  • 0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

<u>Multiply the second equation and then subtract the first one:</u>

  • 10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000
  • x + 1.2y - (x + y) = 16000 - 15000
  • 0.2y = 1000
  • y = 10000

Then

  • x = 15000 - 10000 = 5000

<u>So the parts are:</u>

  • $5000 at 10%, $10000 at 12% and 10000 at 16%
4 0
2 years ago
Which of the following is the contrapositive of the following statement: If it is past 5:00 p.m., Megan’s office building is not
scoundrel [369]

Answer:

B

Step-by-step explanation:

A contrapositive statement is one that switches the hypothesis and conclusion of a conditional statement and negates both. In our hypothesis,

"If it is past 5:00 p.m., Megan’s office building is not empty", we shall break it into two statements and show the contarpositive of each like shown below.

Hypothesis                                             Contrapositive

Megan’s office building is not empty- Megan’s office building is empty

It is past 5:00 p.m  - it is not past 5:00 p.m

And thus the contrapositive statement becomes

If Megan’s office building is empty, then it is not past 5:00 p.m.

7 0
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seventy-two students sit on benches in one section of the football stadium. Each bench holds 6 students. Write a number sentence
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There was 12 benches because if you divided 72 by 6 you would get 12 if someone else answers please give brainliest
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