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aleksklad [387]
2 years ago
7

If it takes 6 men 4 days to dig a hole 3 metres deep, how long will it take 10 men to dig same hole 7 metres deep?

Mathematics
2 answers:
Orlov [11]2 years ago
8 0

Answer:

It will take 5.6 days for the 10 men to dig the same hole 7 m deep.

Step-by-step explanation:

Laying the data in column

----------------------------------------------------

6 men            3 m hole              4 days

10 men           7 m hole             x days

-----------------------------------------------------

As 6 men dig a hole in 4 days, so their rate will be:

rate\:=\:\frac{4}{3}

Then  6 men would take 7\times \frac{4}{3}=\frac{28}{3} days to dig a hole of depth 7 m.

As we are letting 10 men do work, so they would

take \frac{6}{10}\times \frac{28}{3}=\frac{28}{5} days.

so

\frac{6}{10}\times \frac{28}{3}=\frac{28}{5}

             =5.6   days

Therefore, it will take 5.6 days for the 10 men to dig the same hole 7 m deep.

son4ous [18]2 years ago
4 0

Step-by-step explanation:

6 men → 4 days → 3 metres

1 man → 24 days → 3 metres

1 man → 8 days → 1 metres

1 man → 56 days → 7 metres

10 men → 5.6 days → 7 metres

therefore, 5.6 days

Topic: direct n inverse proportions

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

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Decimals between 10 and 15 with an interval of .75 between each pair of decimals
d1i1m1o1n [39]
This is a sum that needs understanding the starting and the ending number first. then you should understand that between the starting and the ending number there has to be pairs of numbers with a difference of 0.75.
The numbers are:
10.75, 11.50, 12.25, 13.00, 13.75, 14.50.
6 0
3 years ago
Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that mo
Lady_Fox [76]

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

For this case, we're given that:

  • Amonut Susan took out = $200
  • Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).
  • Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = \dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

Learn more about percent here:

brainly.com/question/11549320

8 0
2 years ago
Factor the quadratic expression t^2 + 4t - 7
zepelin [54]

Answer:

Not factorable.

Step-by-step explanation:

We have a trinomial (3 terms). We factor by splitting the middle term 4t into factors of -7 (the last term) which add to 4.

-7 = 1 * -7

4t= 1t+-7t doesn't work

4t=-1t+7t doesn't work

This is not factorable.



7 0
3 years ago
$668 at 9.25% for 5 years
madreJ [45]

Answer:

$21.17

Step-by-step explanation:

Simple Interest=P(1+r)^t

Compounded Interest=P(e^rt)

SI=668*(1.0925)^5

SI=1039.64

CI=668(e^(0.0925*5))

CI=1060.81

1060.81-1039.64=21.17

So the difference is $21.17, thus doing compounded interest is better.

8 0
3 years ago
What is the solution of n^2 - 49 = 0
Jlenok [28]
N² - 49 = 0
<u>   + 49  + 49</u>
        n² = 49
         n = <u>+</u>7

The solution to the problem is {7, -7}.
5 0
3 years ago
Read 2 more answers
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