Answer:
The volume of the cart will be 24 ft^3
Step-by-step explanation:
The first thing we need to calculate for this question is the number of boxes that fill the entire cart.
A layer of boxes consists of 8 boxes.
The cart holds a maximum of 3 layers of boxes.
So, the total number of boxes held by the cart are:
Total boxes = number of layers * boxes per layer
Total boxes = 3 * 8
Total boxes = 24
Since each box has a volume of one cubic foot, the total volume of the cart will be:
Volume of cart = number of boxes * volume of each box
Volume of cart = 24 * 1
Volume of cart = 24 ft^3
Answer:
d
Step-by-step explanation:
Solution by substitution method
y=7x+8
∴y-7x=8
and y=x+20
∴y-x=20
Suppose,
-7x+y=8→(1)
and -x+y=20→(2)
Taking equation (1), we have
-7x+y=8
⇒y=7x+8→(3)
Putting y=7x+8 in equation (2), we get
-x + 7x + 8 = 20
6x = 20-8
6x = 12
x= 12 / 6
x = 2
substitute for x in equation (3)
y = 7(x) + 8
y = 7(2) + 8
y = 22
Given that a parking lot contains 100 cars, k of which happen to be lemons.
This is a conditional probability question.
Let event A be that a car is tested and event B be that a car is lemon.
The probability that a car is lemon is given by

The probability that a car is tested is given by

The probability that a car is lemon and it is tested is given by

For a conditional probability, the probablility of event A given event B is given by:

Therefore, the probability that a car is lemon, given that it is tested is given by.
Answer: 2.5
Step-by-step explanation: subtract 2x from both sides and get 4x-2=8 so then add 2 on both sides to get 4x=10 and last step is to divide both sides by 4 which wild get you x=2.5