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Mars2501 [29]
3 years ago
15

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?

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0

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.

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Priya has completed 9 exam questions. This is 60% of the questions on the exam.
Natali [406]

Answer:

Your answer is 15, 100% of the exam is 15 questions.

Step-by-step explanation:

60% x ? = 9

We need to do 9 divided by 60%

Which is actually 9 divided by 60/100.

Which is equal to; (100 x 9) divided by 6.

Which is then 900 divided by 60 which equals 15.

Answer: 15

7 0
3 years ago
One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that
inessss [21]
Let
x-------> <span>the probability that a boy is chosen
B------> </span>number of boys in the debate team
G------> number of girls in the debate team<span>

we know that
B+G=20-----> G=20-B-----> equation 1
</span>probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

t<span>he probability that a girl is chosen is 2/3 the probability that a boy is chosen
</span>probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0
3 years ago
What is x? 3x+43=100​
jenyasd209 [6]

Answer:

x = 19

Step-by-step explanation:

Solve for x:

3 x + 43 = 100

Subtract 43 from both sides:

3 x + (43 - 43) = 100 - 43

43 - 43 = 0:

3 x = 100 - 43

100 - 43 = 57:

3 x = 57

Divide both sides of 3 x = 57 by 3:

(3 x)/3 = 57/3

3/3 = 1:

x = 57/3

The gcd of 57 and 3 is 3, so 57/3 = (3×19)/(3×1) = 3/3×19 = 19:

Answer:  x = 19

8 0
3 years ago
Read 2 more answers
Which of these numbers are multiples of 18? Select all correct answers. (A) 35691 (B) 123456 (C) 654321 (D) 102030 (E) 235910
Alborosie

Answer:

1,2,3,6,9,18

Step-by-step explanation:

The multiples of 18 are 1,2,3,6,9,18 or 1*18, 2*9, and 3*6. 5 is not so that eliminates A,B,C and E But 0 or 10, 20, and 30 aren't either.

4 0
3 years ago
How to estimate 5.4 x 0.1
snow_tiger [21]
I think it’s 0.54. But I’m not sure if that’s right
7 0
3 years ago
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