Answer:
The adult ticket costs $18 and the children ticket costs $13.
Step-by-step explanation:
Let the price of the adult ticket be a.
Let the price of the children ticket be c.
Three adults and four children must pay $106. This implies that:
3a + 4c = 106 _______(1)
Two adults and three children must pay $75. This implies that:
2a + 3c = 75 ________(2)
We have two simultaneous equations:
3a + 4c = 106 _____(1)
2a + 3c = 75 ______(2)
Multiply (1) by 2 and (2) by 3 and subtract (1) from (2):
6a + 9c = 225
- <u>(6a + 8c = 212)</u>
c = $13
Put this value of c in (2):
2a + 3*13 = 75
2a + 39 = 75
=> 2a = 75 - 39
2a = 36
a = 36/2 = $18
Therefore, the adult ticket costs $18 and the children ticket costs $13.
Answer:
C. Slope is 2
Step-by-step explanation:
Since this equation is written in the y=mx+b equation, 2 would be the slope, because any number that comes before x (AKA "m") is always the slope. For example, if you were trying to find the slope for the equation y=4x+19, 4 would be the slope.
Answer:
324 km²
Step-by-step explanation:
The prism shown is a square pyramid
The volume of a square pyramid can be calculated by using this formula
where l = length of base, w = width of base and h = height
We are given the following dimensions...
length of base = 9 km
width of base = 9 km
height = 12 km
To find the volume of the pyramid, we plug in these given values into the formula
Hence,
V = 324
Answer:
D
Step-by-step explanation:
JK intercept line XY at the midpoint. This means that these points are all equidistant from the midpoint. Due to this, J and K are both an equal distance from M. So is X and Y.
