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2 years ago

If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel

Mathematics

1 answer:

Paraphin [41]2 years ago

3 0

Answer:

60 days.

Step-by-step explanation:

This is a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100 Multiply both sides by 100

1200 = k

20 = k/x Multiply both sides by x

20x = k

20x = 1200 Divide by 20

20x/20 = 1200/20

x = 60 days.

An inverse proportion works by making a constant k. The constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

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Eric and his two sister shared amount of money in ratio2:7 respectively. If Eric had 300.00 and the remaining amount shared equa

photoshop1234 [79]

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

7 0

2 years ago

Write the fraction or decimal as a percent #1. 0.622 ,#2. 0.303 #3. 2.45

Pani-rosa [81]

So do you need it as a percent or a fraction?

8 0

3 years ago

How can you write the improper fraction 263/10 as a decimal?

insens350 [35]

Answer:

263/10 as a decimal equals 26.3

Step-by-step explanation:

To write 263/10 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 263 by 10 what we write down as 263/10 and we get 26.3

hope this answer correct :)

4 0

3 years ago

A sphere is just enclosed inside a right circular cylinder. If the volume of the sphere is 140 cm3, find the volume of the gap b

alexgriva [62]

-----------------------------------------------------------
Find Radius :
-----------------------------------------------------------
$\text {Volume of a sphere =} \dfrac{4}{3} \pi r^3$

$\dfrac{4}{3} \pi r^3 = 140$

$\pi r^3 = 140 \times \dfrac{3}{4}$

$\pi r^3 = 105$

$r^3 = \dfrac{105}{ \pi}$

$r = 3.22 \ cm$

-----------------------------------------------------------
Find volume of the cylinder :
-----------------------------------------------------------
$\text {Volume of the cylinder = } \pi r^2h$

$\text {Volume of the cylinder = } \pi ((3.22)^2(3.22 \times 2)$

$\text {Volume of the cylinder = } 209.77 \ cm^3$

-----------------------------------------------------------
Find volume of the gap :
-----------------------------------------------------------
$\text {Volume of gap = } 209.77 - 140$

$\text {Volume of gap = } 69.77 \ cm^3$

-----------------------------------------------------------
$\bf \text {Answer : } 69.77 \cm^3$
-----------------------------------------------------------

6 0

3 years ago

What is the additive version of the complex number -8+3i

Lana71 [14]

Answer:

8-3i

Step-by-step explanation:

The complex additive inverse is the number we need to add so that we get zero. It is the negative of the number.

a + bi is –(a + bi) = –a – bi.

a+bi + (-a+-bi) = a-a + bi-bi = 0

The complex additive invers of -8+3i is

-(-8+3i)

Distribute the negative

8 -3i

6 0

3 years ago