Answer:
Number of trucks = 24
Number of SUVs = 24
Step-by-step explanation:
A)
The ratio of cars to trucks is 9:4
The total ratio of cars to trucks is
9+4 = 13
Let x = sum of cars and trucks.
There are 54 cars. Therefore,
x = 54 + t trucks
Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,
54 = 9/13 × x
9x / 13 = 54
9x = 13 × 54
9x = 702
x = 702 / 9 = 78
x = 54 + t trucks = number of trucks = 78 = 54 + t trucks
t trucks = 78 - 54 = 24
Number of trucks = 24
B)
The ratio of trucks to SUVs is 12:21
The total ratio of cars to trucks is
12 + 21 = 33
Let y = sum of trucks and SUVs
There are 24 trucks. Therefore,
x = 24 + s SUVs
Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,
24 = 12 / 33 × y
12y / 33 = 24
12y = 24 × 33
12y = 792
y = 792 / 12 = 66
y = 24 + s SUVs
66 = 24 + s SUVs
s SUVs = 66 - 24 = 42
Number of SUVs = 24
Answer:
The inverse of the function h(x) is
.
Step-by-step explanation:
The given function is

Replace h(x) by y.

Interchange x and y.

Subtract 4 from both sides to isolate variable y,

Multiply both sides by 2.

Divide both sides by 5.

Replace y by h⁻¹(x).

Therefore the inverse of the function h(x) is
.
Answer:
#2 is the closest to the actual roots.
Step-by-step explanation:

is not a root, but 0.68078 is.
The other roots are -0.24572 and 4.9816. The closest option is #2.
Answer:
1 out of 3
Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
Just use the equation 35÷2 to find how many times 2 can go into 35