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3 years ago

If it takes (a) men (b) hours to dig (c) holes, how many men are required to dig b holes in c hours?

1 answer:

8 0

Well, let's see . . .

You said that (a) men can dig (c) holes in (b) hours.

So . . . It takes (a) men (b / c) hours to dig one hole.

And . . . It takes One man (a b / c) hours to dig one hole.

Now . . . There are (b) holes to be dug.

    It would take one man (a b / c)·(b) = (a b² / c) hours to dig them all.

But if you had 'x' men, it would only take them (c) hours to do it.

So    c = (a b² / c) / x

   x c = (a b² / c)

   x = a b² / c² men .

Now, I lost the big overview while I was doing that,
and just started following my nose through the fog.
So I have to admit that I'm not that confident in the answer.
But gosh durn it. That's the answer I got, and I'm stickin to it.
Rrarrup !

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What is the value of x? Enter your answer in the box. x = __ cm

BartSMP [9]

This is a proportionality question. We have two transversals meeting at a point; the indicated congruent angles indicates the traversals intersecting parallel lines. Usually in these sorts of questions the parallel lines are on the same side of the common vertex, but here the vertex is in between, so the x is proportional to the 42.

x/6 =42/36

x = 6(42/36) = 42/6 = 7

Answer: 7

6 0

4 years ago

Kailey wrote 8,912,000 in scientific notation as 89.12 times 10 Superscript 5. Which statement best describes Kailey's work? Kai

hodyreva [135]

Answer:

D. Kailey is not correct: $89.12 \times 10^5$ is not written in scientific notation.

Step-by-step explanation:

We have been given that Kailey wrote 8,912,000 in scientific notation as $89.12 \times 10^5$ . We are asked to choose the statement that best describes Kailey's work.

We know that to convert a number into scientific notation, we write the given number as product of two numbers. One factor is a number between 1 and 10, while the 2nd factor is power of 10.

Upon looking at $89.12 \times 10^5$ , we can see that 1st factor is 89.10, which is greater than 10. This means that Kailey did not write 8,912,000 in scientific notation.

Therefore, option D is correct choice.

4 0

4 years ago

Read 2 more answers

Find the 82nd term of the following sequence. -32, -27, -22, ....

My name is Ann [436]

The 82nd term for the sequence would be -4

6 0

3 years ago

Help me please I got 55 questions to go in I’m not really good at math

tamaranim1 [39]

Answer:2 hr 30 min

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Erin planted t tomato plants. Leo planted 5 fewer tomato plants than Erin. Filipe planted 10 fewer tomato plants than Erin. Drag

Setler [38]

Answer:

Total number of plants = 3t - 15 = 3(t-5) tomato plants

Explanation:

We are given that:

Erin planted t tomato plants

Leo planted 5 fewer tomato plants than Erin, this means that:

Leo planted = t - 5 tomato plants

Fillip planted 10 fewer tomato plants than Erin, this means that:

Fillip planted = t - 10 tomato plants

Now, we want to find the total number of tomato plants

This means that we will add the number of plants planted by Erin, Leo and Fillip

Therefore:

Total number of plants = t + t - 5 + t - 10

Total number of plants = 3t - 15 = 3(t-5) tomato plants

Hope this helps :)

7 0

3 years ago