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3 years ago

15 workers can complete a job in 45 days. In how many days will 5 persons do the same job?

Mathematics

1 answer:

Norma-Jean [14]3 years ago

5 0

9 days because 45 divided by 15 is 3 so 45 divided by 5 is 9

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1. A jet travelled 640 miles in 2.5 hours. How far does it travel in 1 hour?

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Answer:

1.) 256 miles

2.) 2 1/2 ( 2.5 ) pages a day

Step-by-step explanation:

1.) ( 256 * 2.4 = 640 )

2.) 250 / 20 = 2.5

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2 years ago

Tell whether (3,5) is a solution of y = 5x – 10.

Ivanshal [37]

Answer:

yes it is

Step-by-step explanation:

plug x and y in

3 * 5 - 10 = 5 <== And this is true

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2 years ago

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His estimated answer would be 120 and for number 4 it would be a) 300 b) 700 and c) 1500 hope this helped. Mark as brainliest?

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2 years ago

Assume that the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder. Based on this assumption,

kompoz [17]

If the flask shown in the diagram can be modeled as a combination of a sphere and a cylinder, then its volume is

$V_{flask}=V_{sphere}+V_{cylinder}.$

Use following formulas to determine volumes of sphere and cylinder:

$V_{sphere}=\dfrac{4}{3}\pi R^3,\\ \\V_{cylinder}=\pi r^2h,$

wher R is sphere's radius, r - radius of cylinder's base and h - height of cylinder.

Then

$V_{sphere}=\dfrac{4}{3}\pi R^3=\dfrac{4}{3}\pi \left(\dfrac{4.5}{2}\right)^3=\dfrac{4}{3}\pi \left(\dfrac{9}{4}\right)^3=\dfrac{243\pi}{16}\approx 47.71;$
$V_{cylinder}=\pi r^2h=\pi \cdot \left(\dfrac{1}{2}\right)^2\cdot 3=\dfrac{3\pi}{4}\approx 2.36;$
$V_{flask}=V_{sphere}+V_{cylinder}\approx 47.71+2.36=50.07.$

Answer 1: correct choice is C.

If both the sphere and the cylinder are dilated by a scale factor of 2, then all dimensions of the sphere and the cylinder are dilated by a scale factor of 2. So

R'=2R, r'=2r, h'=2h.

Write the new fask volume:

$V_{\text{new flask}}=V_{\text{new sphere}}+V_{\text{new cylinder}}=\dfrac{4}{3}\pi R'^3+\pi r'^2h'=\dfrac{4}{3}\pi (2R)^3+\pi (2r)^2\cdot 2h=\dfrac{4}{3}\pi 8R^3+\pi \cdot 4r^2\cdot 2h=8\left(\dfrac{4}{3}\pi R^3+\pi r^2h\right)=8V_{flask}.$

Then

$\dfrac{V_{\text{new flask}}}{V_{\text{flask}}} =\dfrac{8}{1}=8.$

Answer 2: correct choice is D.

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3 years ago

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