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
H(10)=210-15(10)
h(10)=210-150
h(10)=60
The hot air balloon is at an altitude of 210. The hot air balloon slowly falls 15 () per minute, for 10 minutes. He ends up at 60 altitude
Answer:
4 2/3 ÷ 3 1/3= 1 2/5
Step-by-step explanation:
First, you turn the mixed terms into an improper fraction like this
4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.
3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.
Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10
14 × 3 = 42 and 3 × 10= 30
Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:
(For this you need to find the greatest common factor)
42/30 → 42 and 30 greatest common factor is 6 because they are divisible and factor of 6.
Now you divide both the denominator and the numerator y 6 like this:
42 ÷ 6= 7
30 ÷ 6= 5
Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.
Overall, We have our answer 1 2/5
I hope this helps :D
Shiela is 0.61 meters taller than her son.
I think I'd be the $40 she charges every hour she works. If this is multiple choice mind drop-in the options
