So baically
reresent
s=number of studne tickes bouthgt
a=number of adult tickets bought
300 tickest sold
total=300
a+s=300
value=rate times number of peple
student value=4s
adults value=10a
total value=1950
4s+10a=1950
a. system of equations are
s+a=300
4s+10a=1950
b. solve
s+a=300
4s+10a=1950
a+s=300
multiply by -4
-4s-4a=-1200
add to other eqaution
4s+10a=1950
<u>-4s-4a=-1200 + </u>
0s+6a=750
6a=750
divide 6
a=125
subsiute
s+a=300
s+125=300
subtract 125
s=175
a. s+a=300
4s+10a=1950
b. solution above
175 students
125 aduls
Answer: m<BCD = 130 degrees
9x - 5 = 4x + 5 + 65
simplify
9x - 5 = 4x + 70
add 5 to both sides
9x = 4x + 75
subtract 4x from both sides
5x = 75
divide both sides by 5
x = 15
substitute 15 for x
9(15) - 5
135 - 5
130
Therefore, m<BCD = 130 degrees
Answer: The measure of AC is 32.
Explanation:
It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.
The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
So by midpoint theorem length of AC is twice of DF.
Therefore, the length of AC is 32.
Answer:
a. there are 22 possibilities
b. the chance of not picking red is 17/22 or 77.27%
Step-by-step explanation:
a. 6+4+5+7=22
Answer: 398.03
Step-by-step explanation:
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