−3 ( −3b + 5 ) + 9 ( 7b + 5
2 answers:
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Answer:
With 7 cups of flour 3.13 batches of cookies can be made.
Step-by-step explanation:
The amount of flour needed per batch of cookies = 7/3 cups
= 2.33 cup
⇒ 1 batch of cookies = 2.33 cup of flour
or the ratio of <u>cookie to flour = 1 : 2.33</u>
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Now, the amount of flour Benny has = 7 cups
Let the total batches of cookie made = m
or, ratio of <u>cookie to flour = m : 7</u>
So, by the RATIO OF PROPORTIONALITY:
⇒ m = 7 /2.23
or, m = 3.13
or, total batches of cookie made = 3.13
Hence, from 7 cups of flour 3.13 batches of cookies can be made.
Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;
dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s