It's a nonlinear because the x and y values are not increasing at the same ratio each time. This would be an example of a linear function:
x l 1 2 3 4 5 6
y l 3 6 9 12 15 18
As x increases by 1, y increases by a multiple of 3
Given:
volume of the block = 576 cubic inches
Square pyramid = base area : 3 square inches ; height = 4 inches
Volume of square pyramid = a² * h/3
V = 3 square inches * 4inches/3
V = 4 cubic inches
volume of block / volume of square pyramid
576 cubic inches / 4 cubic inches = 144
She can make 144 square pyramids.
The answer is 5 cakes.
EXPLANATION
To solve this, you work out that 1/4 of an hour is 15 mins 2/5 of an hour is 24 mins and that 3 1/4 hours is 195 mins.
Using these, we can work out that it takes 39 mins per cake (15 for frosting + 24 for decorating). When we divide 195 by this we get 5, meaning that the answer is 5 cakes.
Hope this helps!
Answer:
1131 pounds.
Step-by-step explanation:
We have been given that an unloaded truck and trailer, with the driver aboard, weighs 30,000 pounds. When fully loaded, the truck holds 26 pallets of cargo, and each of the 18 tires of the fully loaded semi-truck bears approximately 3,300 pounds.
First of all, we will find weight of 18 tires by multiplying 18 by 3,300 as:
The weight of 26 pallets would be weight of 18 tires minus weight of unloaded truck.
Now, we will divide 29,400 by 26 to find average weight of one pallet of cargo.
Therefore, the average weight of one pallet of cargo is approximately 1131 pounds.
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.
Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions
Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions
x+y=24
Subtract y from both sides
x=24-y
Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14
Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10
So there are 10 three point questions
There are 14 five point questions.
Hope this helped! :)
