Answer:
B.)
Step-by-step explanation:
that is a characteristic of a maximum value parabola.
The ratio of the volumes is equal to the scale factor cubed.
![\frac{V_1}{V_2}=k^3 \\ \\ \frac{320 \ cm^3}{1080 \ cm^3}=k^3 \\ \frac{8}{27}=k^3 \\ k=\sqrt[3]{\frac{8}{27}} \\ \boxed{k=\frac{2}{3}} \Leftarrow \hbox{answer B}](https://tex.z-dn.net/?f=%5Cfrac%7BV_1%7D%7BV_2%7D%3Dk%5E3%20%5C%5C%20%5C%5C%0A%5Cfrac%7B320%20%5C%20cm%5E3%7D%7B1080%20%5C%20cm%5E3%7D%3Dk%5E3%20%5C%5C%0A%5Cfrac%7B8%7D%7B27%7D%3Dk%5E3%20%5C%5C%0Ak%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B8%7D%7B27%7D%7D%20%5C%5C%0A%5Cboxed%7Bk%3D%5Cfrac%7B2%7D%7B3%7D%7D%20%5CLeftarrow%20%5Chbox%7Banswer%20B%7D)
Answer:
2. 1 8/9 gallons
Step-by-step explanation:
5 2/3 divided by 3
5.66666667/3 = 1.88888889
.88888889 = 8/9
1 + 8/9 = 1 8/9
Answer:
d. 16 and 6
Step-by-step explanation:
Triangle area = (base × height)/2
A = (8 × 12)/2 = 96/2 = 48
A = (16 × 6)/2 = 96/2 = 48
Answer:
a) 22 batches
c) 7.3 batches
Step-by-step explanation:
a) It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
0.25 cup = 1 batch
5.5 cup = x
Cross Multiply
0.25 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.25 cup
x = 22
I can make 22 batches of chocolate chip cookies. You may use the scratchpad to show your work.
(b) Lemon Cookies It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
0.75 cup = 1 batch
5.5 cup = x
Cross Multiply
0.75 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.75 cup
x = 7.3 batches
I can make 7.3 batches of lemon cookies. You may use the scratchpad to show your work.
