The answer is 40 miles around it
Answer:
angle LMN is 153 degrees.
Step-by-step explanation:
180 = 15g + 18 +3g; combine like terms
180 = 18g + 18; subtract 18 on both sides
162 = 18g; divide 18 on both sides
g = 9
plug in: 15(9) + 18 = 153
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Answer:
x + y = 330 and 9x + 16y = 4650
Step-by-step explanation:
At a museum, the admission price for children is $9 and the admission price for adults is $18. The total amount the museum collects in admissions for the day is $4959. The total number of visitors is 319.
x = number of children
y = number of adults
x + y = 330
9x + 16y = 4650
624 cars can park in the garage at one time.
this is because 78 x 8 = 624
Answer:
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145
Step-by-step explanation:
Cost of tickets
Adults = $6
Teachers = $4
Students = $2
Total tickets sold = 280
Total revenue = $1010
Let
x = number of adults tickets
y = number of teachers tickets
z = number of students tickets
x + y + z = 280
6x + 4y + 2z = 1010
If the number of adult tickets sold was twice the number of teacher tickets
x = 2y
Substitute x=2y into the equations
x + y + z = 280
6x + 4y + 2z = 1010
2y + y + z = 280
6(2y) + 4y + 2z = 1010
3y + z = 280
12y + 4y + 2z = 1010
3y + z = 280 (1)
16y + 2z = 1010 (2)
Multiply (1) by 2
6y + 2z = 560 (3)
16y + 2z = 1010
Subtract (3) from (2)
16y - 6y = 1010 - 560
10y = 450
Divide both sides by 10
y = 450/10
= 45
y = 45
Substitute y=45 into (1)
3y + z = 280
3(45) + z = 280
135 + z = 280
z = 280 - 135
= 145
z = 145
Substitute the values of y and z into
x + y + z = 280
x + 45 + 145 = 280
x + 190 = 280
x = 280 - 190
= 90
x = 90
Therefore,
number of adults tickets sold = x = 90
number of teachers tickets = y = 45
number of students tickets = z = 145