Answer:


Each hot dog costs $4.50
You can but 4 hot dogs with $18
Answer:
B
Step-by-step explanation:
The sum to n terms of a geometric series is
= 
where a is the first term and r the common ratio
Here a = 6144 and r =
=
=
, then
= 
= 
= 12288(1 -
) ← distribute
= 12288 - 12
= 12276 → B
For the first three questions
5/12 = 35/N
Rearrange: N = 35 / (5/12) = ( 35 / 0.4167 ) = N = 83.99
7/18 = N / 9
Rearrange: N = (7/18)* 9 = 3.5
(2/5) * 240 = 96
He spent $96 on supplies
Answer:
In that scenario, you will have the shape of a triangle, with the measures of two sides (the two slopes of the roof) and one angle (the peak angle).
Based on that it's easy to find out the length of the other side of the triangle, which in this case would the width of the house, going from the ending tip of the left part of the roof to the ending tip of the right part of the roof.
Let's name a and c the sides of the roof, and the angle B the peak of the roof.
We are then looking for the length of the b side, that would connect sides a and c.
By the Cosines Law, we know that

Which we can transform to isolate b, this way:

So, you just have to enter the length of both sides of the roof and the angle, to get the measurement of the width of the house.
You turn 2/3 into 16/24 and 8 into 24/24
then subtract 16/24 from 24/24 and you answer will be 8/24