Hey, I am able to help you today :)
Step 1 - Simplify:
420x^2 - 18 = 2082
Step 2 - Add 18 to both sides:
420x^2 = 2082 + 18
Step 3 - Simplify 2082 + 18 to 2100:
420x^2 = 2100
Step 4 - Divide both sides by 420:
x^2 = 2100/420
Step 5 - Simplify 2100/420 to 5
x^2 = 5
Step 6 - Simplify:
x = 5
Step 7 - Check your answer:
10 x 42 x 5 - 18 =2082
Hope this helps you today :)
28/4 = 7 packs of notebokks total
7-3 = 4 packs are left
Answer:
They're all the same distance from 0 on the number line.
Step-by-step explanation:
That's a similarity. If you want to know the difference, then it should be that one is greater than 0, and the other is less than 0.
I'm pretty sure that's what you're asking for, right?
Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
