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3 years ago

The ratio of boys to girls is 2 to 5 if they're 80 girls how many boys are there

1 answer:

4 0

There are 32 boys; if you set up a proportion of boys over girls like 2/5=x/80 and cross multiply you should get that x = 32 boys

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A BASKETBALL PLAYER MAKES A BASKET THROUGH A TEN FOOT HIGH BASKET FROM 20 FEET AWAY. IF THE SHOOTER RELEASES THE BALL FROM 8 FEE

mixas84 [53]

Answer:

The vertical velocity of the ball when released = 10.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

Step-by-step explanation:

The given parameters are;

The height of the basket = 10 feet

The horizontal location of the shooter from the basket = 20 feet

The height from which the shooter releases the ball = 8 feet

The horizontal velocity of the ball = 10 ft/s

Therefore, we have;

Time, t = Horizontal distance/(Horizontal velocity)

t = 20/10 = 2 seconds

The vertical velocity is given as follows;

s = u·t - 1/2·g·t²

Where;

u = The vertical velocity

s = The height above the initial height from which the ball is released

s = y - y₀

Where;

y = The final height of the ball in the calculation = The height of the basket = 10 foot

y₀ = The initial height from which the ball is released = 8 feet

∴ s = 10 - 8 = 2 feet

g = The acceleration due to gravity = 9.81 m/s²

Substituting gives;

2 = u × 2 - 1/2 × 9.81× 2²

u = (2 + 1/2 × 9.81× 2²)/2 = 10.81 m/s

The vertical velocity of the ball when released = 10.81 m/s.

The vertical velocity of the ball in the basket is given by the following relation;

v² = u² - 2·g·s

v² = 10.81² - 2×9.81×2 = 77.6161

v = √(77.6161) = 8.81 m/s

The vertical velocity of the ball in the basket = 8.81 m/s

7 0

3 years ago

You can peel 48 potatoes in 10 minutes. How long will it take you to peel 100 potatoes?

dybincka [34]

Answer:

About 20.8 minutes

Step-by-step explanation:

TO solve this just think of it as a ratio. The number of potatoes goes on top and the time goes on bottom.

That is what the first one would look like. In the second one we know the number of potatoes but we are trying to find the time (x).

100

___

Take these two ratios and set them equal to each other.

$\frac{48}{10} =\frac{100}{x}$ Next you cross multiply (take 48 times x and 100 times 10).

48x=1000 Now divide by 48 and you have your answer.

About 20.8 minutes

7 0

3 years ago

Rusty's hair grows at the rate of 1 over 4 inch per month.

Nadya [2.5K]

1/4 = 2/8. Remember that. This means that 1/8 is equal to half of a month. It there is 5/8, you can add a half month for every eights. In this case, it will take 2 and a half months
Easy Way:<span>If your hair were to grow 1/4 inches a month, it would also grow 2/8 inches a month, since 1/4 = 2/8. How long with it take 1/8 (0.5/4)inches to grow? It would take a half of a month for your hair to grow 1/8 inches.
</span><span>Now that we know 1/8 inches grows in a half of a month, we add a half of a month for every eigths. Since we are trying to figure out how long it would take for it to grow 5/8 inches, we add 5 half months to get the answer of 2 and a half months. Kind of confusing, but that is the best way I can describe it.</span>

8 0

3 years ago

Read 2 more answers

Use the quadratic formula to find both solutions to the quadratic equation

anygoal [31]

Answer:

The answer is in the photo

Step-by-step explanation: