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lianna [129]
3 years ago
6

Find the LCM of k2 + 3k + 2 and 2k2 + 14k + 20.

Mathematics
1 answer:
Archy [21]3 years ago
5 0

Answer:

2(k+1)(k+2)(k+5)

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A city police force is made up of 24% females. If there are 72 females on the force, how many males are on the force?
erastovalidia [21]

Answer:

228 males

Step-by-step explanation:

Let x be the number of males.

This means x + 72 is the total number of people.

So \frac{72}{x+72} is the fraction of females in the force.

Thus, we can form the equation:

\frac{72}{x+72} = 0.24

x+72 = \frac{72}{0.24}

x = \frac{72}{0.24} -72

x = 228

Thus, the answer is 228 males.

6 0
3 years ago
The utility industry had 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f
e-lub [12.9K]

Answer:

Utility's percent Change from 2010 to 2020 = 7%

Step-by-step explanation:

Jobs available at the utility industry in 2010= 428.5 thousand

Average rate of decline = 3 thousand

Years between 2010 and 2020

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

Total change in jobs:

There are 10 years between 2010 and 2020

Jobs decline at an average of 3 thousand per year

Total change in jobs= 10 years × 3 thousand

= 30 thousand

Utility's percent Change from 2010 to 2020 = Total change in jobs / jobs in 2010 × 100

= 30 thousand / 428.5 thousand × 100

= 0.07 × 100

= 7%

Utility's percent Change from 2010 to 2020 = 7%

4 0
3 years ago
Max weighs 40 pounds less than his brother Together they weigh 280 pounds how much does his brother weight
Ierofanga [76]

Answer:

He weighs 240 pounds

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Annie loves giving away puppies. When her friend Bobby walks by, she instantly gives him 50% of her puppy stash. Bobby, stunned
mihalych1998 [28]
I think that she started with 10.. I'm not 100% sure, though
4 0
3 years ago
The tallest building in Africa is the Carlton Centre in Johannesburg, South Africa. What is the distance from the top of this 73
Contact [7]

Answer:

b = 33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

3 0
3 years ago
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