The speed of the plane is 200 mph.
We start out with the formula d=rt, where d is distance, r is rate (speed) and t is time. We know the time is the same for both vehicles, so we will solve this formula for t:
d=rt
Divide both sides by r:
d/r = t
Since the time is the same, we will have a proportion in the form
d/r = d/r
The speed of the car is x, and it travels 150 miles. The speed of the plane is 150 faster than x, or x+150, and it travels 600 miles:
150/x = 600/(x+150)
Cross multiplying we have:
150(x+150) = 600*x
150x + 22500 = 600x
Subtract 150x from both sides:
150x + 22500 - 150x = 600x - 150x
22500 = 450x
Divide both sides by 450:
22500/450 = 450x/450
50 = x
The speed of the car is 50, and the speed of the plane is 50+150 = 200
ANSWER
8x + 3y = 2000
x => The number of adults
y => The number of children
EXPLANATION
Let the number of adults be x.
Let the number of children be y.
Each adult will be charged $8 admission. This would mean that the charges for x adults will be:
8 * x = $8x
Each child will be charged $3 admission. This would mean that the charges for y children will be:
3 * y = $3y
The club wants to earn $2000 from admission charges. This means that adding the total charges for adults and children should yield $2000.
Therefore, we have:
8x + 3y = 2000
The variables are:
x => The number of adults
y => The number of children
Answer:
15, 17, 19
Step-by-step explanation:
Three consecutive odd integers can be represented by
x, x + 2, x + 4. You add 2 to each one to get the next one. Fun fact: you would do the same thing if the problem said the integers were even!
The largest integer is x + 4, so the sentence in the problem translates to an equation (sum means to add the integers together):
x + (x + 2) + (x + 4) = 2(x + 4) + 13
Distribute the 2, then combine like terms.
x + (x + 2) + (x + 4) = 2x + 8 + 13
3x + 6 = 2x + 21
Subtract 2x.
x + 6 = 21
Subtract 6.
x = 15
The integers requested are 15, 17, 19.
Check: Their sum is 51, which is 13 more than twice 19.
Answer:
Step-by-step explanation:
46 and 7 5/10
<h3>
Answer: C) 25%</h3>
Explanation:
There are 7 blue out of 5+7+6+10 = 28 chips total.
7/28 = 1/4 = 25/100 = 25% is the probability of pulling out a blue chip.