Gabriel is raising money for a school trip by selling lollipops and bags of chips. The price of each lollipop is $1 and the pric
2 answers:
Answer:
- 18 lollipops
- 8 bags of chips
Step-by-step explanation:
The equations we want to graph are one for the revenue, and one for the number of items sold.
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<h3>revenue</h3>The revenue from each lollipop is $1, so the revenue in dollars from selling x of them is 1·x = x. The revenue from each bag of chips is $1.50, so the revenue from selling y of them is 1.50·y = 1.5y. The total revenue from selling x lollipops and y bags of chips is ...
x +1.5y = 30 . . . . . dollars
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<h3>item count</h3>The total number of items sold is ...
x + y = 26
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<h3>solution</h3>The graph shows the solution to these two equations is ...
(x, y) = (18, 8)
The number of lollipops sold is 18; the number of bags of chips sold is 8.
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Answer:
A. a) 24
A. b) 4
B. a) 40320
B. b) 576
Step-by-step explanation:
General formula for Permutations:
A. Concert seats: 2 couple --- total of 4 persons.
a) without restrictions
Since there are no restrictions, but that the order is important (John, Mary, Paul, Michelle isn't the same as Michelle, Mary, Paul, John), it's a permutation calculation.
Then we calculate the permutations of 4, out of 4, so...
24 different ways for them to sit.
b) couples together
Now, we can see the problem as having 2 levels of permutations, first the couples, then inside the couples.
There are 2 ways for the first level or order... couples AB or BA, so 2 possibilities.
Inside each couple, man then woman (MW) or woman then man (WM), so 2 possibilities there too on 2nd level.
Overall 2 * 2 = 4 ways to sit by couple.
B) Single file
a) without restrictions
Again, order is important, so another permutation, not a combination. And since we have no restriction, it can be any sequence.
We then have to calculate the number of permutations of 8 out of 8...
There are 40,320 ways these 8 kids can pass the door.
b) girls first.
So, the four girls have to enter first.... and these four girls can be in any order.. how many permutations? P(4,4)... so 24 as calculated above.
For the four boys, how many permutations? Yes, again P(4,4)... so 24 again.
Overall, we need to multiply the two... 24 x 24 = 576 ways if the girls enter first, followed by the boys.
solve for "x"
9514 1404 393
Answer:
-3/4, 3
Step-by-step explanation:
The zeros are the values of x that make h(x)=0. Those are the values of x that make the factors of h(x) be zero.
-4x -3 = 0 ⇒ x = -3/4
x -3 = 0 ⇒ x = 3
The zeros of the function are -3/4 and 3.
