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USPshnik [31]
2 years ago
13

forty percent of participants in a math contest were boys. fifty percent of the boys revived medals. the number of boys who rece

ived the medals was equal to the number of girls who received the medals. what percent of the participants were girls who received medal?​
Mathematics
1 answer:
aleksklad [387]2 years ago
3 0

20% of the participants are girls and got a medal, and 33% of the girls got a medal.

<h3>What percent of the participants were girls who received medal?​</h3>

First, we know that 40% of the participants were boys, so the other 60% were girls.

We know that 50% of the boys got a medal, so the percentage (in decimal form) of participants that are boys and got a medal is:

P = (0.4)*(0.5) = 0.2

So, 20% of the participants are boys and got a medal.

We know that the number of girls that got a medal is the same as the number of boys, then we also have that 20% of the participants are women who got a medal.

Then if the percentage of girls that got a medal is x (in decimal form), we must have that:

Q = (0.6)*(x) = 0.2

      x = 0.2/0.6 = 0.33

x = 0.33

This means that 33% of the girls got a medal.

If you want to learn more about percentages:

brainly.com/question/843074

#SPJ1

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MakcuM [25]

Answer:

(a) f(x)=\frac{1}{2}x

(b)f(x)=-\frac{3}{2}x

Step-by-step explanation:

8 0
3 years ago
Find the amount to tip on a $67.99 dinner, when you tip 20%. Round to the nearest cent.
neonofarm [45]

Answer:

$13.60 for tip

$81.59 for total meal cost

Step-by-step explanation:

Meal = $67.99

tip is 20% so 0.20

67.99*0.20=13.60 tip

8 0
3 years ago
Joe earns $14 an hour and Blaine earns $18 per hour. Joe receives a raise of $1.75 every six months, and Blaine receives a raise
Katarina [22]

After 4 interval of six months, Joe to earn same hourly rate as Blaine

<em><u>Solution:</u></em>

Given that,

Amount earned by Joe = $ 14 per hour

Amount earned by Blaine = $ 18 per hour

Lets assume the number of six month intervals be "x"

<em><u>Joe receives a raise of $1.75 every six months</u></em>

Therefore,

Joe earning: 14 + 1.75(number of six month intervals)

Equation for Joe earning: 14 + 1.75x ------- eqn 1

<em><u>Blaine receives a raise of $0.75 every six months</u></em>

Therefore,

Blaine earning: 18 + 0.75(number of six month intervals)

Equation for Blaine earning: 18 + 0.75x ------------ eqn 2

The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,

Eqn 1 must be equal to eqn 2

14+1.75x = 18+0.75x\\\\1.75x-0.75x = 18-14\\\\1x = 4\\\\x = 4

Thus after 4 interval of six months, Joe to earn same hourly rate as Blaine.

8 0
3 years ago
A computer manufacturer spends $2,000 per day in operating costs. The company realizes a profit of $385 for each computer (x) so
mariarad [96]

Answer:

$2000

Step-by-step explanation:

the profit would be determined by how many computers are involved, so that would vary

3 0
3 years ago
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The length of one side of a square pond is 15 feet. The pond is surrounded by a 3 foot wide walkway. What is the total area of t
rewona [7]

Answer:

Area = 324 ft²

Step-by-step explanation:

Given

Length = 15ft

Walkway = 3ft

Required

Determine the area of the pond + the walkway

To calculate the required area, we need to get the total length of a side .

This is calculated by adding the length of a side of the pond and the side of the walkway

Total Length = Pond Length + Walkway

Total Length = 15ft + 3ft

Total Length = 18ft

Now, the required area can be calculated as thus:

Area = Total Length * Total Length

Area = 18ft * 18ft

Area = 324 ft²

8 0
3 years ago
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