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Studentka2010 [4]
3 years ago
8

Pedro and Carmela are cleaning their kitchen. It takes Pedro 3 hours to clean the kitchen by himself, while Carmela can clean th

e kitchen in 2 hours.
Which equation can be used to calculate how long it will take them to clean the kitchen if they work together?

A.3/2t=t

B.t/3+t/2=1

C.3/t+2/t=1

D.3t+2t=1
Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

B

Step-by-step explanation:

Here, we want to choose the equation representing the time it will take if they worked together

Let the amount of tasks to be done be t

pedro will work at a rate of t/3

Camela will take t/2

So the joint rate will be

t/2 + t/3

This joint rate will be equal to 1

Thus, we have

t/2 + t/3 = 1

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Answer:

224

Step-by-step explanation:

6 0
3 years ago
1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
3 years ago
What is the first quartile in this box plot? Enter your answer in the box.
Gemiola [76]

Answer:

I think the first quartile is 30

Step-by-step explanation:

To find the quartiles you would look at the end points of the box.

6 0
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Select the correct answer.
Alina [70]

Answer:

Incisive

Step-by-step explanation:

4 0
3 years ago
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24. A total of 540 beads are shared in the ratio 4:5. The LARGER share of beads is
ra1l [238]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
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