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andrew-mc [135]
3 years ago
11

X / 12 equals 27 / 33 ​

Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0
What is your question?
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The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
Anton [14]

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 \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <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

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

∵ 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

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

   and s_{2} by 253440 feet/hour

∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0
3 years ago
Can you please simplify c5 x c
Rzqust [24]

Answer:

5c^2

Step-by-step explanation:

i think c is a variable so,

5xcxc = 5c^2

5 0
3 years ago
What is this<br><br>4x-1=3y+5
Svetach [21]
This is a Linear equation, which means it gives a straight line when plotted on a graph. Please make Brainliest! ☺
6 0
3 years ago
Is it a function or not a function and if why is it either a function or not a function?
Butoxors [25]

Answer:

function

Step-by-step explanation:

8 0
3 years ago
Solve for c. a (c−b) = d a. c = d - ab / a b. c = ab - d / a c. c = d ab / a d. c = d - ab / a
Nitella [24]
A(c - b) = d
ac - ab = d
ac = d + ab
c = (d + ab)/a
7 0
3 years ago
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