Answer:
x = 4.17
Step-by-step explanation:
We can use a ratio to solve
4.2 k 2 k
---------------- = ---------------
8.76 x
Using cross products
4.2 * x = 2 * 8.76
4.2x =17.52
Divide by 4.2
x=4.17
Answer:
A) 96 + x ≤ 149
Step-by-step explanation:
The airplane can hold 149 passengers.
There are already 96 passengers on board.
They can add x additional passengers, as long as they bring the total to no more than 149.
The inequality is
96 + x ≤ 149
Answer:
308 cubic feet
Step-by-step explanation:
The box on the truck has dimensions 11 ft by 7 ft by 4 ft.
The volume of the box is:
V = L * W * H
V = 11 * 7 * 4
V = 308 cubic feet
The truck can transport 308 cubic feet of gravel.
Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
The answer is D. <span>$780.25
</span>
In this particular case, you just need to find the difference between what Casey earn hourly with his total earning..
The hourly wage that Casey earned in 26 hours:
$ 4.55 x 26 = 118.3
The total amount that casey earned in 26 hours:
$898.55
So, the amount that Casey earned through tips:
$898.55 - $118.3 = $780.25