Answer:
One 50$, one 5$, and four 1$ bills
Sid and Libby are planning to sell pies at a local fair.
=> $200 to rent a table at the fair.<span>
=> $3.00 per pie </span>costs for ingredients, other supplies, baking, and packaging<span>
They plan to sell the pies for $8 each.
Let's find out how many pies will they be selling inorder to gain profit
=> 200 + 3.00(n) = 8(n), where n is the number of pie.
Let's try 40
=> 200 + 3(40) = 8 (40)
=> 320 = 320
</span>=> 200 + 3(41) = 8 (41)
=> 323 = 328
<span>Thus, in their 41st pie, they will get a profit
</span>
The two parabolas intersect for

and so the base of each solid is the set

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas,
. But since -2 ≤ x ≤ 2, this reduces to
.
a. Square cross sections will contribute a volume of

where ∆x is the thickness of the section. Then the volume would be

where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

We end up with the same integral as before except for the leading constant:

Using the result of part (a), the volume is

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

and using the result of part (a) again, the volume is

For this case we have:
x: Number of candies that Sydney has
The equation to find the amount of Sydney sweets is given by:

We want to clear x:



So, Sydney has 10 candies
Answer:
Sydney has 10 candies
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130