Answer:
50,803,200 ways
Step-by-step explanation:
In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:
BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.
For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:
There are 50,803,200 ways to set the line-up.
Because 1/2 ≠ 1/6.
We know that 1/6 < 1/2, so we can set up an equation to see how many copies are needed for them to be equal.
(1/6)x = 1/2
[(1/6)x] × 6 = [1/2] × 6
x = 6/2 = 3
This equation shows that 1/6 × 3 = 1/2, therefore we need 3 copies of 1/6 to equal 1 copy of 1/2.
Answer:
84x^10
Step-by-step explanation:
The coefficients multiply, and the exponents add.
(4x)( -3x^6)(-7x^3) = (4)(-3)(-7)x^(1+6+3) = 84x^10
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The rule for exponents is ...
(x^a)(x^b) = x^(a+b)
see attached picture for #6
10 the inequality would be :
12 inch box is x
15 inch box is y
12x+15y≤84
The keyword is Rise over run
So the 2nd y value minus the first y value and divide it by the 2nd x value minus
(y2-y1)/(x2-x1)
(10-7)/5-3)
the first x value and you should get 3/2
*dont worry the if the number is under and not above it’s not a saying to do to the power of but it’s just saying the order in which to put the x and y values.
