Contrapositive. Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

Step-by-step explanation:

5 0

2 years ago

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Jaime has 5 over 11 spaceof a project completed while Tim has finished 7 over 13 spaceof the same project.

faust18 [17]

Answer:

a. Tim has completed a greater amount of work.

b. Together they have completed $\frac{142}{143}$ part of two projects.

Step-by-step explanation:

Let us assume that the project on which Jaime and Tim are working has x amount of space.

Now, given that Jaime has 5 over 11 space of a project completed while Tim has finished 7 over 13 space of the same project.

Therefore, Jaime has completed $\frac{5x}{11}$ amount of space and Tim has finished $\frac{7x}{13}$ amount of space.

a. Now, (7x) \times 11 > (5x) \times 13

⇒ $\frac{7x}{13} > \frac{5x}{11}$

Therefore, Tim has completed the greater amount of work. (Answer)

b. Together they have completed $(\frac{7x}{13} + \frac{5x}{11}) = \frac{(7 \times 11 + 5 \times 13)}{13 \times 11} x = \frac{142}{143}x$ amount of space out of 2x amount of space. (Answer)

4 0

2 years ago

A month ago, the ratio of nurses to doctors on a hospital staff was 3:5. Since that time, two additional nurses joined the staff

bija089 [108]

Answer:

Step-by-step explanation:

The ratio of nurses to docters a month ago was 3:5. Now, it's 4:5. You can tell that there aren't 4 nurses because 3 => 4 is only one nurse. If you duplicate both ratios (multiply both sides by 2), you get 6:10 (for a month ago) and 8:10 (now). This is correct because 6+2=8. Hope it helps!

6 0

2 years ago

What is 1.68 divide by 37

Ymorist [56]

0.0454045404540454045404540454045404540 that is repeating for ever.

8 0

2 years ago