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Natasha_Volkova [10]
3 years ago
13

last summer, at camp okey-fun-okey, the ratio of the number of boy campers to girl campers was 8:7. If there were a total of 195

campers, how may boy campers were there? how many girl campers are there
Mathematics
2 answers:
Evgen [1.6K]3 years ago
7 0

The ration of boy campers to total campers is 8:15, and the ratio of girl campers to total campers is 7:15.  Using this information, we can answer this question by setting up proportions.

<u>For boys:</u>

\frac{8}{15} =\frac{x}{195}

<em>*Cross multiply*</em>

15x=1560

<em>*Divide both sides by 15*</em>

x=104

There are 169 boy campers.


<u>For girls:</u>

\frac{7}{15} =\frac{x}{195}

<em>*Cross multiply*</em>

15x=1365

91=x

There are 91 girl campers.


Hope this helps!!

tiny-mole [99]3 years ago
4 0

Answer:

104 boys and 91 girls

Step-by-step explanation:

We need to determine fractions (fraction of campers who were boys, fraction of campers who were girls).  To do this, add 8 and 7, obtaining 15.  Then 8/15 of the campuers were boys and 7/15 were girls.

Thus, there were (8/15)(195 boy campers) and (7/15)(195 girl campers), or 104 boys and 91 girls.

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It takes 8 hours for 4 men to paint a room.
eimsori [14]

Answer:

16 men would be needed to paint the room in 2 hours

Step-by-step explanation:

We can use proportion to solve the problem given, but first we need to determine whether it is a direct or indirect proportion.

If the number of men are increase, the time taken to do the work will decrease, If the number of men are decrease, the time taken to do the work will increase. Therefore, this is an indirect proportion.

We are going to arrange the data inversely.

Let x be the number of men needed to paint the room in two hours

8 hours =  2 hours

    x        = 4 men

Cross-multiply

2×x = 8×4

2x = 32

Divide both-side of the equation by 2

2x/2 = 32/2

x = 16 men

16 men would be needed to paint the room in 2 hours

7 0
3 years ago
The area of a triangle is the product of the base of the triangle times the height of the triangle, divided by two.
trasher [3.6K]

Answer:

Step-by-step explanation:

Almost correct.  I'd write this statement as follows:

"The area of a triangle is the product of the base and height of the triangle, divided by two."

or...

"The area of a triangle is half the product of the base and height."

3 0
2 years ago
A car moves with an average speed of 45 miles/hour. How long does the car take to travel 90 miles? A. 2 minutes B. 2 hours C. 45
svlad2 [7]

We know that distance = rate(time). We need to solve for time here.

d = rt\\90 = 45t\\t = \frac{90}{45}\\t = 2


The car took 2 hours to travel 90 miles at a speed of 45 mi/hr


5 0
2 years ago
Read 2 more answers
One number is 8 times a first number. A third number is 100 more than the first number. If the sum of the three is 690, find the
mezya [45]
<h3>Given</h3>

Three numbers are n, 8n, and (100+n).

Their total is 690.

<h3>Find</h3>

the three numbers

<h3>Solution</h3>

n + 8n + (n+100) = 690

10n + 100 = 690 . . . . . . . simplify

10n = 590 . . . . . . . . . . . . subtract 100

n = 59

8n = 472

n +100 = 159

The three numbers are 59, 472, and 159.

6 0
3 years ago
A force of F = 1.12×104 Newtons does work of W = 1.18×106 Joules. What is the approximate displacement in meters (Displacement =
alexira [117]

Answer: 105.3 m

Step-by-step explanation:

Given

Applied force is F=1.12\times 10^4\ N

Work done is W=1.18\times 10^6\ J

Work done is given by the displacement done by the force.

\Rightarrow W=F\cdot s\\\Rightarrow 1.18\times 10^6=1.12\times 10^4\cdot s\\\\\Rightarrow s=1.05\times 10^2\\\Rightarrow s=105.3\ m

4 0
3 years ago
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