Answer:
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Step-by-step explanation:
- Direct proportion means that two quantities increase or decrease in the same ratio
- If y is directly proportional to x (y ∝ x) , then
<em>OR</em> y = k x, where k is the constant of proportionality
∵ The stopping distance d of an automobile is directly
proportional to the square of its speed s
- That means d ∝ s²
∴ 
∵ A car requires 75 feet to stop from a speed of 30 miles per hour
∴ d = 75 feet
∴ s = 30 miles/hour
- Change the mile to feet
∵ 1 mile = 5280 feet
∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour
∵ The car require to stop from a speed of 48 miles per hour
on the same road
- Change the mile to feet
∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour
∵ 
- Substitute the values of
by 75 feet,
by 158400 feet/hour
and
by 253440 feet/hour
∴ 
∴ 
- By using cross multiplication
∴ 25 ×
= 75 × 64
- Divide both sides by 25
∴
= 192 feet
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Area=length x width
A=lw
A=12 3/8
l=x
w=2 3/4
first, make your mixed numbers into improper fractions
12 3/8 --> 99/8
2 3/4 --> 11/4
then, set equal denominators
99/8 and 22/8
99/8=22/8x --plug in values
99/22=x --divide both sides by 22/8
convert improper fraction to mixed number
99/22 --> 4 11/22 --> 4 1/2
therefore, the length is 4 1/2 meters
K= 10(-7) -19
k= -70-19
k=-89
Answer:

Step-by-step explanation:
Get rid of the parenthesis then combine like terms
Answer:
2.
Step-by-step explanation: