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belka [17]
4 years ago
8

In a high school, 2/5 of the girls make up 150 students.

Mathematics
1 answer:
poizon [28]4 years ago
5 0

Answer:

375 girls

Step-by-step explanation:

Let the number of girls in the school be y.

Then, we can write the equation:

\frac{2}{5} y = 150

We can now solve for y by multiplying both sides by

\frac{5}{2}

\frac{5}{2}  \times  \frac{2}{5} y = 150 \times  \frac{5}{2}

\implies \: y = 75 \times 5

y = 375

Therefore there are 375 girls in the school.

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weqwewe [10]

"how long..." is asking for time (t).  "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground.  Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... <em>or by using the quadratic formula.</em> With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

   a=-16   b=60  c=3

t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}

t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}

t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}

t = \frac{-60 +/- \sqrt{3792} }{-32}

t = \frac{-60 +/- 61.6}{-32}

t = \frac{-60 + 61.6}{-32}   or   t = \frac{-60 - 61.6}{-32}

t = \frac{1.6}{-32}        or     t = \frac{-121.6}{-32}

   t = -0.05            or     t = 3.8           <em>disregard the negative</em>

Answer: 3.8 seconds


     

8 0
4 years ago
It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to walk to
dsp73
I believe the answer is 100 minutes.
7 0
3 years ago
G(1) = 0<br> =<br> lgn= ) +m<br> g(n) = g(n - 1) +n<br> =<br> -<br> n<br> g(2) =
yKpoI14uk [10]

Answer:

g(1) = 0

=

lgn= ) +m

g(n) = g(n - 1) +n

=

-

n

g(2) =12

Step-by-step explanation:

12345678910

6 0
2 years ago
The sum of three consecutive natural numbers is 1251 find the numbers
valentinak56 [21]

Numbers are 416, 417 and 418

<u>Step-by-step explanation:</u>

Step 1:

Let the numbers be x, x + 1 and x + 2. Given that their sum is 1251.

⇒ x  + x + 1 + x + 2 = 1251

⇒ 3x + 3 = 1251

⇒ 3x = 1248

⇒ x = 416

Step 2:

Find the other numbers.

⇒ x + 1 = 417 and x + 2 = 418

8 0
3 years ago
Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti
almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

d=v.t

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

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d=(x+y).t_1

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Rearranging, we find the downstream equation:

2.5x+2.5y=20\qquad[1]

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d=(x-y).t_2

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20=(x-y)*5

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5x-5y=20\qquad[2]

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Adding this equation to [2]:

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x=60/10=6

Dividing [2] by 5:

x-y=4

Solving for y

y=x-4=6-4=2

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

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4 years ago
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