Answer:
Associative Property of Multiplication
[ 3(5) (4) = (3) 5(4)]
Identity Property of Multiplication
5(1) = 5
Identity Property of Addition
(3 + 5) + 0 = (3+5)
Commutative Property of Addition
3 + 5 = 5 + 3
Associative Property of Addition
3 + (5 + 7) = (3 + 5) + 7
Step-by-step explanation:
The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.
The identity property of 1 says that any number multiplied by 1 keeps its identity.
Hoped this helped!
Answer:
The lateral surface area of the triangular prism is 379.5sq units
Step-by-step explanation:
The side lengths of the base of the triangular prism are 5 meters, 8 meters, and 10 meters.
It is given that the height of the prism is 16.5 meters.
To determine the lateral surface area of the prism, let us use the formula
where a, b,c are the side lengths of the base of the triangular prism and h is the height of the prism.
Here and
Substituting these values in the formula, we have,
Simplifying, we get,
Multiplying, we get,
Thus, the lateral surface area of the triangular prism is
Answer:
(-4,6)
Step-by-step explanation:
y=6
5x+5(6)=10
5x+30=10
5x=-20
x=-4
(x,y)
(-4,6)
7/8 = 21/24
5/12 = 10/24
21/24-10/24 = 11/24
Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:
Now, if you multiply the first equation by 2, the system becomes
Subtract the second equation from the first:
Plug this value into the first equation to get
