Answer:
36x² - 9y²
Step-by-step explanation:
We see that the given expression (6x + 3y)(6x - 3y) looks just like the expression (a + b)(a - b). When multiplied out, this is a difference of squares identity that I highly recommend you memorise:
(a + b)(a - b) = a² - b²
Here, a = 6x and b = 3y, so plug these in:
(6x + 3y)(6x - 3y) = (6x)² - (3y)² = 36x² - 9y²
Answer:
If the numbers were the same, they'd both be 61
So, try 60 and 62.
x + x+2 = 122
2x = 120
x = 60
Hope that helps!
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
The change is the remaining money that is needed to take from the seller so a change of Umberto will be $6.62.
<h3>What is subtraction?</h3>
To subtract in mathematics is to take something away from a group or a number of objects.
The group's total number of items decreases or becomes lower when we subtract from it.
Given that,
Umberto buys a game for $7.89 and some batteries for $5.49.
Total money of buying = 7.89 + 5.49 = $13.38
Now he gives a $20 bill.
Remaining (change) = 20 - 13.38
⇒ $6.62
Hence "The change of Umberto will be $6.62".
For more about subtraction,
brainly.com/question/1927340
#SPJ1
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)
