Answer:
Option C
Step-by-step explanation:
(7x^3y^3)^2
= (7)^2 * (x^3)^2 * (y^3)^2
= 49 * x^(3*2) * y^(3*2)
= 49x^6y^6
You have to distribute the terms in "7x^3 * y^3" each to the power of 2
(7)^2 * (x^3)^2 * (y^3)^2
Now you can apply the rule "(x^a)^b = x^a*b" and further simplify the expression
Let's use the equation 5x - 20 = 10 as an example for this.
To work backwards from this, you would add the same amount to each side.
You want to isolate the 5x so that you can solve for x.
To do that, you would add 20.
But again, you must add and subtract the same amount to both sides.
So it would look a bit like this:
5x - 20 + 20 = 10 + 20
That would simplify to 5x = 30, or in other words, x = 6.
Basically, you isolate the multiple of the variable then divide the answer to the equation from that multiple.
In the example, 5 is the multiple and after isolating it, the answer was 30.
30 ÷ 5 = 6
x = 6
Hope this helps :)
Answer:
if 
Step-by-step explanation:
Given --> 
Substitute into the equation and solve for 
:
So, when 
1/2 chance of one baby being a boy
1/2*7
7:2 chance
Answer:
Number of T-SHIRT sold = x = 110
Number of sweatshirt = y = 40
Step-by-step explanation:
Let
Number of T-SHIRT sold = x
Number of sweatshirt = y
The number of T-shirts sold was 10 fewer than three times the number of sweatshirts sold.
x = 3y - 10
Cost of each T-SHIRT = $11
Cost of sweatshirt = $19
Total cost = $1,970
Total = x + y
1,970 = 11(3y - 10) + 19y
1970 = 33y - 110 + 19y
1970 + 110 = 33y + 19y
2080 = 52y
y = 2,080/52
y = 40
Substitute y = 40 into
x = 3y - 10
x = 3(40) - 10
x = 120 - 10
x = 110
Number of T-SHIRT sold = x = 110
Number of sweatshirt = y = 40
