(a + b)2 Plug in the a and b values
(2 + 3)2 Add 2 and 3
(5)2 Multiply 5 and 2
10
When a = 2 and b = 3, (a + b)2 will equal 1.) 10.
Convert 3 (1/2) into a mixed fraction first and then multiply it by 3:
3(1/2) * 3
(7/2) * 3
21/2
10 (1/2) = answer
Let's call a child's ticket and an adult's ticket . From this, we can say:
,
since 116 tickets are sold in total.
Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus
.
Given these values, we can say:
,
since each adult ticket costs 17,000 and each child's ticket costs 12,750, and these costs sum to 1,653,250.
Now, we have two equations:
Let's solve:
- Find on its own, which will allow us to substitute it into the first equation
- Substitute in for
- Apply the Distributive Property
- Subtract 1972000 from both sides of the equation and multiply both sides by -1
We have now found that 75 child's tickets were sold. Thus,
,
41 adult tickets were sold as well.
In sum, 41 adult tickets were sold along with 75 child tickets.
The volume for any cylinder, right or oblique, would be base x height. Even though an oblique cylinder looks quite different from a right cylinder, their volumes would be equal (given that their radius and height are equal). Think about it, the area of a parallelogram would equal the area of the rectangle if their heights and bases were the same, so that would apply for this also.
V= Bh
The base would stand for that top and bottom of the cylinder, or the circles. The volume for circle is pi x radius squared.
V =
h
V =
256 x 16
V =
4096
60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.