Answer:
w=16, L=20
Step-by-step explanation:Length(L)=w+4
P=72
P=2L+2w
P=2(w+4)+ 2w
P=2w+8+2w
72=4w+8
4w=72-8
4w=64(/4)
w=16
L=16+4=20
Verification: 16+16+20+20=72
32+40=72
72=72 (T)
Since there are six numbers, on average 1,2,or 3 will come up 50 percent of the time and 4,5, and 6 will also come up 50 percent
The answer is D, because you move to the right of the decimal to see if that number is 5 or above. Then you round up, (to 86). :) Hope this was helpful.
Answer:
8x^3-46x^2-5x+18
Step-by-step explanation:
The volume of a rectangular prism is L*W*H where
L=length
W=width
H=height.
So we want to probably find the standard form of this multiplication because writing (4x+3)(x-6)(2x-1) is too easy.
Let's multiply (4x+3) and (x-6), then take that result and multiply it to (2x-1).
(4x+3)(x-6)
I'm going to use FOIL here.
First: 4x(x)=4x^2
Outer: 4x(-6)=-24x
Inner: 3(x)=3x
Last: 3(-6)=-18
---------------------------Add.
4x^2-21x-18
So we now have to multiply (4x^2-21x-18) and (2x-1).
We will not be able to use FOIL here because we are not doing a binomial times a binomial.
We can still use distributive property though.
(4x^2-21x-18)(2x-1)
=
4x^2(2x-1)-21x(2x-1)-18(2x-1)
=
8x^3-4x^2-42x^2+21x-36x+18
Now the like terms are actually already paired up we just need to combine them:
8x^3-46x^2-5x+18
Answer:
D.
The store will need exactly 38 boxes for the shipment, with 1/3 pound of clay going into the last box
Step-by-step explanation:
We need to divide the number of pounds by the numbers of pounds per box
28 ÷ 3/4
Copy dot flip
28 * 4/3
112/3
37 1/3
We will have to round up to pack all the clay
38 boxes with 1/3 in the 38th box