Notice, "x" is a variable, so it varies, it will take on many values.
usually car dealers will say, you need to pay some processing fee, a flat-fee, and after that, you get charged for the "wear and tear" of the car, so by the mileage you drive, the more miles you drive, the more wear and tear, therefore, the more you pay, the less you drive, the less you pay.
0.15x <---- 15 cents for every "x", miles
if you drive 200 miles you owe 0.15(200)
300 miles the 0.15(300) and so on.
the 22, is never changing in that equation, is a constant, just like the flat-fee.
Answer:
x = 4, -2
Step-by-step explanation:
split the absolute value into 2 equations:
|3x - 3| = 9
3x - 3 = 9 3x - 3 = -9
3x = 12 3x = -6
x = 4 x = -2
x = 4, -2
Answer:
approximately 15 ice cones
Step-by-step explanation:
volume of cylinder is V=πr2h
volume of cone is V=πr2h
3
Number of pennies:P
Number of nickels:N
Number of dollar bills:D
P=N+12
N=D+5
1P+5N+100D=996
^given
Therefore
P=(D+5)+12
P=D+17
Plug back into main equation
(D+17)+5(D+5)+100D=996
Combine like terms
106D+42=996
106D=954
D=954/106=9
9 Dollar bills
N=D+5
N=(9)+5=14
14 Nickels
P=N+12
P=(14)+12=26
26 Pennies
26*1+14*5+9*100=996
Final answer:
9 Dollars
14 Nickels
26 Pennies
Answer:
- <u>First choice, 984 cm²</u>
Explanation:
The plastic pencil case has form of a triangular prism.
This triangular prism has five faces:
- Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.
- Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.
<u>Surface area:</u>
- <u>Top and bottom triangles</u>:
area = (1/2) base × height
area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²
area of the two triangles = 2 × 60 cm² = 120 cm²
- <u>Lateral rectangles:</u>
area of a rectangle = length × width
area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².
- <u>Total area: </u>120 cm² + 864 cm² = 984 cm²
Answer: first choice, 984 cm²