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2 years ago

Let a and b be non-zero integers.Which of the following is always true about the ratio -a/b

Mathematics

1 answer:

Makovka662 [10]2 years ago

3 0

Hint: try our various values of a and b as integers, both positive and negative.

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Two carpenters are building a fence after 5 minutes,one carpenter is finished 4/7 of the way an the other is finished 1/8 of the

torisob [31]

The first carpenter is 0.4464 of the way is ahead of the second carpenter

<u>Solution:</u>

Given, Two carpenters are building a fence

After 5 minutes, one carpenter is finished 4/7 of the way

Second carpenter finished 1/8 of the way

Now, let us find the work done by each carpenter

$\begin{array}{l}{\text { For } 1^{\text {st }} \text { carpenter }=\frac{4}{7}=0.5714 \text { approximately. }} \\\\ {\text { For } 2^{\text {nd }} \text { carpenter }=\frac{1}{8}=0.125}\end{array}$

Then, extra work done by first carpenter over second carpenter = work done by first carpenter – work done by second carpenter

= 0.5714 – 0.125 = 0.4464

Hence, the 1st carpenter is 0.4464 of the way is ahead of the 2nd carpenter

6 0

3 years ago

Mr.O'Brien is paid $10 per hour for the first 40 hours he works in a week. He is paid 1.5 times that rate for each hour after th

erma4kov [3.2K]

In first 40 hours he earns = 7.30 x 40 = $292
Each hour after his rate = 7.20 x 1.5 = $10.80 per hour
In extra four hours he earns = 10.80 x 4 = $43.20

Total earnings = $292 + $43.20 = $335.20
Therefore you don't agree
Hoped this helped you

8 0

3 years ago

A number chosen at random 1 to 25 find the probability of selecting a greater number than 24

stira [4]

1/25 because the only number higher than 24 is 25 and you are choosing a number between 1 and 25

5 0

2 years ago

Read 2 more answers

Eleven percent of the pens made by Apex are defective.

sergiy2304 [10]

Let A be the event 'made by Apex and defective':
P(A) = 0.67 x 0.11 = 0.0737
Let B be the event 'made by B-ink and defective':
P(B) = 0.33 x 0.06 = 0.0198
Let C be the event 'made by Apex or B-ink and defective':
P(C) = P(A) + P(B) = 0.0737 + 0.0198 = 0.0935
P(defective and made by Apex) = 0.0737/0.0935 = 0.788
The answer is 0.788 or 78.8%.

3 0

3 years ago

Find the gradient, picture below

hoa [83]

Answer:

$\frac{dy}{dx} = \frac{13}{8}$

Step-by-step explanation:

$y = 2x + 6 {x}^{ - \frac{1}{2} } \\ \frac{dy}{dx} = 2 + 6( - \frac{1}{2}) {x}^{ - \frac{1}{2} - 1 } \\ \frac{dy}{dx} = 2 - 3 {x}^{ - \frac{3}{2} } \\ \frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {x}^{3} } }$

When x = 4,

$\frac{dy}{dx} = 2 - \frac{3}{ \sqrt{ {4}^{3} } } \\ = \frac{13}{8}$

3 0

2 years ago

Read 2 more answers