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
2(x + 4) = -5x + 1
2x + 8 = -5x + 1
2x + 5x = 1 - 8 = -7
7x = -7
x = -7/7 = -1
x = -1
The midpoint between the two points is (-6,4)
The number of scented candles ... x
the number of unscented candles ... y
x + y = 28
$16 * x + $10 * y = $400 ... 16 * x + 10 * y = 400
If you would like to know how many scented and how many unscented candles did the shop sell today, you can calculate this using the following steps:
x + y = 28 ... x = 28 - y
16 * x + 10 * y = 400
____________________
16 * (28 - y) + 10 * y = 400
16 * 28 - 16 * y + 10 * y = 400
448 - 400 = 16 * y - 10 * y
48 = 6 * y /6
y = 48 / 6
y = 8
x = 28 - y = 28 - 8 = 20
Result: The candle shop sold 20 scented candles and 8 unscented candles today.
Answer:
<h2>altitude = 5</h2>
Step-by-step explanation:
Look at the picture.
Use the Pythagorean theorem:
<em>subtract 144 from both sides</em>
