Let w won games, t tied games, s lose games
s=4w
t=w-5
s+t+w=43
4w+(w-5)+w=43
6w=48
w=7
s=4*7=21 games lost
Explanation:
First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that
Note that both sine and cosine are negative because x is in the 3rd quadrant.
Recall the addition identities listed below:
Therefore, the expression reduces to
1.Zachariah paid $51.94
2. Sam paid 21.20
Im not sure tho.
Answer:180 adults were admitted.
Step-by-step explanation:
Let x represent the number of children that were admitted into the park.
Let y represent the number of adults that were admitted into the park.
The admission fee at the amusement park is $1.50 for children and $4 for adults.
The admission fees collected totaled 1,014.00 dollars. This means that
1.5x + 4y = 1014 - - - - - - - - - -1
On a certain day, 376 people entered the park. This means that
x + y = 376
Substituting x = 376 - y into equation 1, it becomes
1.5(376 - y) + 4y = 1014
564 - 1.5y + 4y = 1014
- 1.5y + 4y = 1014 - 564
2.5y = 450
y = 450/2.5 = 180
Substituting y = 180 into x = 376 - y, it becomes
x = 376 - 180 = 196
