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Karolina [17]
2 years ago
13

Of the 25 girls on the Alden Middle School soccer team, 40% also play on a travel team. How many of the girls on the middle scho

ol team also play on a travel team?
Mathematics
1 answer:
SpyIntel [72]2 years ago
5 0

Answer:

10 Girls

Step-by-step explanation:

Total number of girls in Alden Middle school= 25 girls

Percent of girls play for travel team= 40%

We have to find the numbers of girls who play for middle school team

Numbers of girls who play for middle school team= 25 ×\frac{40}{100}

Numbers of girls who play for middle school team=25 ×\frac{40}{100}

Numbers of girls who play for middle school team=10

Hence the number of girls play for travel team= 10 girls.

Hence, the correct answer is 10.

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Step-by-step explanation:

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2 years ago
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Water is leaking out of an inverted conical tank at a rate of 6800 cubic centimeters per min at the same time that water is bein
ivanzaharov [21]

Answer:

1508527.582 cm³/min

Step-by-step explanation:

The net rate of flow dV/dt = flow rate in - flow rate out

Let flow rate in = k. Since flow rate out = 6800 cm³/min,

dV/dt = k - 6800

Now, the volume of a cone V = πr²h/3 where r = radius of cone and h = height of cone

dV/dt = d(πr²h/3)/dt = (πr²dh/dt)/3 + 2πrhdr/dt (since dr/dt is not given we assume it is zero)

So, dV/dt = (πr²dh/dt)/3

Let h = height of tank = 12 m, r = radius of tank = diameter/2 = 3/2 = 1.5 m, h' = height when water level is rising at a rate of 21 cm/min = 3.5 m and r' = radius when water level is rising at a rate of 21 cm/min

Now, by similar triangles, h/r = h'/r'

r' = h'r/h = 3.5 m × 1.5 m/12 m = 5.25 m²/12 m = 2.625 m = 262.5 cm

Since the rate at which the water level is rising is dh/dt = 21 cm/min, and the radius at that point is r' = 262.5 cm.

The net rate of increase of water is dV/dt = (πr'²dh/dt)/3

dV/dt = (π(262.5 cm)² × 21 cm/min)/3

dV/dt = (π(68906.25 cm²) × 21 cm/min)/3

dV/dt = 1447031.25π/3 cm³

dV/dt = 4545982.745/3 cm³

dV/dt = 1515327.582 cm³/min

Since dV/dt = k - 6800 cm³/min

k = dV/dt - 6800 cm³/min

k = 1515327.582 cm³/min - 6800 cm³/min

k = 1508527.582 cm³/min

So, the rate at which water is pumped in is 1508527.582 cm³/min

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3 years ago
Will mark as brainliest!
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Answer:

64

Step-by-step explanation:

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What number would have to be added to complete this square x^2 + 10x +?
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