Answer:
4. 6 cups
6. 50 dollars
7. 27000 words
8. 300 dollars
Step-by-step explanation:
4.
2 cups x cups
-------------- = -----------
6 people 18 people
Using cross products
2 * 18 = 6x
Divide by 6
36/6 =6x/6
6 =x
6.
12 cans 30 cans
-------------- = -----------
20 dollars x dollars
Using cross products
12x = 20*30
12x = 600
Divide by 12
12x/12 =600/12
x = 50
7.
3 hours = 3*60 minutes/hour = 180 minutes
30 minutes 180 minutes
-------------- = -----------
4500 words x words
Using cross products
30x = 4500*180
Divide by 30
x = 4500*180/30
x=27000
8.
45 dollars x dollars
-------------- = -----------
15 burgers 100 burgers
Using cross products
45*100 = 15x
Divide by 15
45*100/15 = x
300 =x
Answer:
Step-by-step explanation:
<span>The area of a blade with rectangular shape = 1/2 * b * h where b is the base and h, the height.
Here b = 7 and height = 4
So the area of the blade = 1/2 * 7 * 4 = 14ft^2
If the are four blades the total area is the summation of individual blade.
So area = 14 + 14 + 14 + 14 = 56ft^2. Hence none of the option satisfies the answer.</span>
Answer:
( - 7/4, 81/8 )
Step-by-step explanation:
Answer: Train A = 50 mph; Train B = 30 mph
Step-by-step explanation:
In this case, let's call the speed of both trains as:
Va: speed of train A
Vb: speed of train B
As train A is faster than train B, let's call speed of train B as X; So if Vb is X, then Va would be:
Vb = X
Va = X + 20
If we combine both Speed, we have:
V = Va + Vb = X + X + 20 = 2X + 20
Now that we have an expression for the combined speed, let's recall the formula for speed in general:
V = d/t
Where:
d: distance = 240 miles
t: time = 3 hours
Combining all the data we have:
V = 240/3
but V is 2X + 20 so:
2X + 20 = 240/3
Solving for X:
2X + 20 = 80
2X = 80 - 20
2X = 60
X = 60/2
X = Vb = 30 mph
Now that we know speed of one train, we can know the speed of the other train:
Va = 30 + 20 = 50 mph