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Mashutka [201]
3 years ago
11

2] The band has a ratio of boys to girls of 5 to 4. There are 171 students in the band.

Mathematics
1 answer:
dem82 [27]3 years ago
5 0

9514 1404 393

Answer:

  • There are 95 boys.
  • There are 76 girls.

Step-by-step explanation:

The fraction that is boys is 5/(5+4) = 5/9. That fraction of the total is ...

  boys = 5/9 × 171 = 95

Girls are the remainder:

  girls = 171 -95 = 76

There are 95 boys and 76 girls in the band.

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Ryan is rowing a small boat out to and back from an island 20 miles away at a rate of
Misha Larkins [42]

Answer:

The speed with which Ryan was rowing was 4 mph

Step-by-step explanation:

With a small boat, Ryan wants to row towards an island and come back at a speed of x mph and the island is 20 miles away from him.  

Therefore, total 20 + 20 = 40 miles he rowed for 5 hours.

On the way to the island, there was a wind of 4 mph in the direction of his motion and on the way back also there was a wind of 4 mph in the direction of his motion.

So, in the total journey, he has a speed of (x + 4) mph.

Therefore, \frac{40}{5} = x + 4

⇒ x + 4 = 8

⇒ x = 4 mph.

Therefore, the speed with which Ryan was rowing was 4 mph. (Answer)

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3 years ago
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bazaltina [42]

Answer:

Not equivalent

Step-by-step explanation:

5:3

15:12 simplified = 5:4

3 0
2 years ago
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Which of the following are solutions to 2x2 – 8x - 90? Select all that apply.
Bond [772]

Answer:

x=-5, x=9

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^{2} -8x-90  

equate to zero

2x^{2} -8x-90=0  

so

2=-1\\b=-8\\c=-90

substitute in the formula

x=\frac{-(-8)\pm\sqrt{-8^{2}-4(2)(-90)}} {2(2)}

x=\frac{8\pm\sqrt{784}} {4}

x=\frac{8\pm28} {4}

x=\frac{8+28} {4}=9

x=\frac{8-28} {4}=-5

therefore

The solutions are x=-5, x=9

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2 years ago
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Eva8 [605]

Answer:

2.85 x 10^4

Step-by-step explanation:

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3 years ago
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Write a numerical or variable expression for the quantity: the number of seconds in m minutes
Alchen [17]

60 minutes = 1 hour  

Divide both sides by 60 to get 1 minute = 1/60 hours and then multiply both sides by 'm' to get m minutes = m/60 hours.  

So 'm' minutes equals m/60 hours.  

Ex: If m=120, then 120 minutes = 120/60 = 2 hours

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3 years ago
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