Answer:
Step-by-step explanation:
Volumes of two spheres A and B = 648 cm³ and 1029 cm³
Things to remember:
1). Scale factor of two objects =
[
and
are the radii of two circles]
2). Area scale factor = 
3). Volume scale factor = 
Volume scale factor Or Volume ratio = 
![\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B648%7D%7B1029%7D%20%7D)
![\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}](https://tex.z-dn.net/?f=%5Cfrac%7Br_1%7D%7Br_2%7D%3D%5Cfrac%7B6%28%5Csqrt%5B3%5D%7B3%7D%29%7D%7B7%28%5Csqrt%5B3%5D%7B3%7D%29%7D)

Therefore, scale factor =
≈ 6 : 7
Area scale factor Or area ratio = 
= 
≈ 36 : 49
Volume scale factor or Volume ratio = 
= 
≈ 216 : 343
Answer:
The tap drains approximately half the water from the tank in 15 minutes
The tank initially has 50 gallons of water
Step-by-step explanation:
<u>The tap drains approximately half the water from the tank in 15 minutes. </u><u>True.</u>
This is true because see that the point (15,25) lies on the graph of the line.
Which means after 15 minutes the amount of water left in the tank is 25 gallons and 25 is half of 50.
The tap drains exactly one gallon from the tank every minute. False
This is false because the slope of the graph is 
<u>The tank initially has 30 gallons of water. </u><u>False.</u>
The y-intercept is the initial gallons of water which is 50.
<u>The tank initially has 50 gallons of water. </u><u>True.</u>
The y-intercept is the initial gallons of water which is 50.
<u>The tank takes 50 minutes to drain completely. </u><u>False</u><u>.</u>
It is false because the x-intercept tells us the tank is drained completely and it is not 50 minutes but rather 30 minutes.
Answer:
Sarah can have the plumber work on her faucet for six (6) hours maximum
Step-by-step explanation:
Hi
As Sarah has only $234.50 in her savings and the plumber charges $50 just to come to her home, so left-over $184.50 of her saving for pay work hours.
Then as the plumber charges $30.75 per hour we have that
is the maximum amount of hours that Sarah can have the plumber work on her faucet.
34 is Y=56 that why he stay with 101 at the end.