Answer:
39
Step-by-step explanation:
difference=28
other number=11
so:
11+28=39
39 is your other number
Draw a diagram to illustrate the problem as shown below.
Calculate the volume of the empty cone.
V₁ = (1/3)π*(6 in)²*(10 in) = 120π in³
Calculate the volume of the sphere.
V₂ = (4/3)π*(1.5 in)³ = 4.5π in³
The volume that can be filled with flavored ice is
V = V₁ - V₂ = 115.5π in³ = 362.85 in³
Answer:
The volume is 115.5π in³ or 362.9 in³ (nearest tenth)
The unit rate is the slope
y=mx+b
m=slope
b=y intercept
equation is y=7x
slope=7
y intercept=0
slope=unit rate because if you use 5 gasoline then you go 5 times 7 miles or 35 miles
The unit rate is 7
Hope I helped :)
Answer:
63
Step-by-step explanation:
so y/3 - 9 = 12, add 9 on both sides and you get y/3 = 21. Then you multiply both sides by 3, y/3 * 3, the 3's cancel out, 21 * 3 = 63. You get y = 63
So basically just do + 9 on both sides then *3 on both sides (do it step by step)
Answer:
a) 
b) 
Step-by-step explanation:
For this case we can use a linear model to solve the problem.
s) Create an equation to express the increase on the price tickets and the number of seats sold
number of seats, if w analyze the info given the number of seats after increase the price is given by 
.
And let P the price for the ticket. So after the increase in ticket price the expression for the increase is P-200.
We have an additional info, for each increase of $3 the number of setas decrease 1. And the equation that gives to us the price change in terms of the increase of price is:
So then our linear equation is given by:
b) Over a certain period, the number of seats sold for this flight ranged between 90 and 115. What was the corresponding range of ticket prices?
So for this case we just need to replace the limits into the linear equation and see what we got:
So the corresponding range of ticket prices is:
