Answer:
Step-by-step explanation:
Given the expression (x+11)(2x+3)
We want to expand it and write equivalent expression
Generally if we want to expand an expression we will take one of the expression in one bracket and multiply with the other bracket and then take the other expression and multiply it with the other
E.g, (a+b) × (c + d)
Then, we take a × (c+d) and also b × (c+d)
We can do it the other way round too and it will give the same results.
So, applying this to the given expression
(x+11)(2x+3)
x(2x+3) + 11(2x+3)
2x² + 3x + 22x + 33
2x² + 25x + 33
Then, the equivalent expression is 2x² + 25x + 33
(x + 11)(2x + 3) = 2x² + 25x + 33
A(-3, -1); B(2, -1), C(2, 3)
You can read the length of AB and BC.
|AB| = 5
|BC| = 4
Use the Pythagorean theorem:
The perimeter:
Answer:
64 crates
Step-by-step explanation:
Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet
Larger Container (Cube) Side Length = 10 feet
We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.
Volume of Cube = x^3
Where x is the side length of the cube
Now,
Small Crate Volume = (2.5)^3 = 15.625 cubic feet
Large Container Volume = 10^3 = 1000 cubic feet
Number of crates that would fit = 1000/15.625 = 64
So, 64 crates will fit in the largest shipping container
Answer:
Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would if he uses the same ratio?
Step-by-step explanation:
Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width if he uses the same ratio?
Answer:
1 hr, 48 minutes
Step-by-step explanation:
you can create a proportion:
doughnuts/hours = doughnut/hours (h)
1500/9 = 300/h
cross-multiply to get:
1500h = 2700
h = 27/15
h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60
