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AlekseyPX
3 years ago
5

A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.At this rate,how many cups of sugar shou

ld be used if 2 cups of bananas are used ?
Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer: 1 cup of sugar

Step-by-step explanation:

A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.

Converting 1 1/2 cups of sugar to improper fraction becomes 3/2 cups of sugar.

If 3 cups of bananas is required for 3/2 cups of sugar,

x cups of bananas will require 1 cup of sugar

3x / 2 = 3

3x = 6

x = 6/3 = 2

Therefore,

2 cups of bananas will require 1 cup of sugar.

We are looking for the number of cups of sugar that would require 2 cups of bananas.

We already got the answer.

1 cup of sugar would be used if 2 cups of bananas are used.

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4 years ago
If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball
Molodets [167]

Answer:

<em>The speed of sound at 20°C is 343.42 m/s.</em>

<em>You have to wait 1.75 seconds to hear the sound of the bat hitting the ball</em>

Step-by-step explanation:

<u>Speed of Sound</u>

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}

The air is at T=20°C, thus the speed of sound is:

\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}

v_{\mathrm {s} }=343.42\ m/s

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

\displaystyle v=\frac{d}{t}

Where d is the distance and t is the time. Solving for t:

\displaystyle t=\frac{d}{v}

Substituting the values v=343.42 m/s and d=600 m:

\displaystyle t=\frac{600}{343.42}

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

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3 years ago
Gloria sold 78 apples, Berta sold 4 less than 9 times as many apples as Gloria. How many apples did Berta Sell?
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Answer:

698 apples

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