Answer: Total amount earned by Laney in 4hour=$138
Total amount earned by Maka in 4hours=$134
Difference =$4
Step-by-step explanation:
Since
Maka charges can be modeled by the equation F=30h+14,
where h =number of hours that Maka tutors
F = the total amount earned. Following same model
With 14 being the charge in dollar for travel expenses.
Laney charging $10 for travel expenses plus $32 per hour of tutoring can also be represented as
F= 32h +10
Such that total amount earned by
Maka in 4hours gives
F=30h+14
F=30x4 +14
F=120+14=$134
In the same vein the total amount earned by Laney in 4hours gives
F=32h+10
F= 32x4+10
F=128+10=$138
The difference in money earned by Laney and Maka = $138-$134= $4
Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
________________
add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
Answer:
The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).
Step-by-step explanation:
Cylinder:
-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:


-Solve:




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Cone:
-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:


-Solve:





-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder:

Cone:

100 nickels 150 dimes 250 quarters
Step-by-step explanation:
Trust me
We can solve this by using the formula:
(x, y) (x + a, y + b) = (5,-4) (-2,1)
So, plugging in the values and solving for a and b,
5 + a = -2
a = -8
-4 + b = 1
b = 5
Therefore, the translation is
(x,y) (x - 8, y +5)