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Mandarinka [93]
3 years ago
10

A 27 1⁄2-mile stretch of road needs repaving. A company bid on the repaving project, saying they would repave 2 1⁄4 miles of roa

d per week. How many weeks will the company take to completely remove the stretch of road?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0

Answer:

The correct answer is 12 and a half or 13 weeks.

Step-by-step explanation:

First, convert the values to decimals.

27 1/2 = 27.5

2 1/4 = 2.25

Then, divide miles of road that need to be repaved by the number of miles that are repaved per week.

27.5/2.25 = 12.2222222222222

Round that up to 12 and a half weeks or 13 weeks.

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solniwko [45]

Answer:

C. 60 ft

Step-by-step explanation:

5 ft woman / 2 ft shadow

? ft antenna / 24 ft shadow

proportion time!

25*5 = 120

120/2 = 60

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7 0
2 years ago
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second
AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

\displaystyle P(R)=\frac{5}{7}

The probability is's green is computed by

\displaystyle P(G)=\frac{2}{7}

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}

The total probability of the second ball being red is

\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71

The probability that the second ball is red is 71%

7 0
3 years ago
Help please; I need the right answer ​
Ad libitum [116K]

Answer:

C.

Step-by-step explanation:

\cos x+\sqrt{2}=-\cos x \\ 2\cos x = -\sqrt 2 \\ \cos x = -\dfrac{\sqrt 2}{2}\\ \\ \Rightarrow x = \pm \arccos\Big(-\dfrac{\sqrt 2}{2}\Big)+2k\pi,\quad x\in \mathbb{Z}\\ \Rightarrow x =\pm\dfrac{3\pi}{4}+2k\pi\\ \\ \\k = -1 \Rightarrow x < 0\\\\ k=0 \Rightarrow x 2\pi

3 0
3 years ago
Read 2 more answers
A cylinder has a height of 18 millimeters and a radius of 18 millimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
solong [7]

Answer:

Volume = 18312.48

Step-by-step explanation:

Given

Height (h) = 18mm

Radius (r) = 18mm

Required

Determine the volume

The volume of a cylinder is calculated as thus:

Volume = \pi r^2h

Substitute values for r and h

Volume = 3.14 * 18^2 * 18

Volume = 18312.48

<em>Hence, the volume of the cylinder is 18312.48mm³</em>

8 0
3 years ago
A city has a population of 280,000 people. Suppose that each year the population grows by 8.5% what will the population be in 8
r-ruslan [8.4K]

Answer:

Step-by-step explanation:

Population= 280000 people

Population growth rate= 8.5%

Population growth in a year=

{(100+8.5)÷100} × 280000 =303800 people

Pop growth in 8 years =

303800×8=

2,430,400 people ‍‍‍‍

3 0
3 years ago
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