Answer:
78.75 cm cubed
Step-by-step explanation:
To find the volume of the prism, use the formula V = l*w*h where l = 4.5, w = 5 and h = 3.5.
So the volume is V = 4.5*5*3.5 = 78.75
Answer:
(3, -3)
Step-by-step explanation:
When asked to solve by elimination, you put them on top of one another, like you're going to add it.
10x + 7y = 9
-4x - 7y = 9
See that 7y? You can cancel those out because one is negative, and one is positive. So those are gone. You finish adding the rest of the numbers as usual and solve for x.
6x = 18
x = 3
Take x, and plug it into either equation to find y.
10(3) + 7y = 9
7y = -21
y = -3
(3, -3)
Hope this helped!
For this case, the first thing we must do is define variables.
We have then:
x: number of rides
y: total cost
We now write the equations for each park.
For The Thrill amusement park:
y = 5x + 40
For The Splash water park:
y = 3x + 60
Answer:
A system of equations that could be used to determine the solution where the cost per ride of the two amusement parks, and, is the same is:
y = 5x + 40
y = 3x + 60
Answer:
Karl prepared 30 liters in 5 hours
Step-by-step explanation:
The total amount of juice Karl prepares per unit time can be expressed;
T=U×h
where;
T=total number of liters of juice prepared
U=number of liters prepared per unit time
h=number of working hours
In our case;
T=12 liters
U=U
h=2 hours
replacing;
12=U×2
2 U=12
U=12/2
U=6 liters per hour
The unit rate=6 liters per hour
Solving for 5 hours
Total quantity of juice prepared=Unit rate×number of hours worked
where;
Unit rate=6 liters per hour
Number of hours worked=5 hours
replacing;
Total quantity of juice prepared=(6×5)=30 liters
Karl prepared 30 liters in 5 hours
