Answer:
Step-by-step explanation:
~First we have to write our two equations that are:
1. 8x+5y=$495(becoz the no. of adult tickets is unknown and children is unknown we use variables instead and multiplying them with the amount of money for each gives us 495)
2. x+y=75( No. of adult tickets and children altogether gives us 75)
~Use the substitution method by using any of the equations and putting the variable you want as the subject and then putting its values in the next equation:
x+y=75
x=75-y
~Substitute to find y(no. of children’s ticket)
8x+5y=495
8(75-y)+5y=495
600-8y+5y=495
-8y+5y=495-600
-3y=-105
y=-105/-3
y=35
Therefore, the no. of children tickets is 35.
~Substituting y in the substitution equation(x=75-y):
x=75-35
x=40
Therefor no. of tickets sold to adults is 40.
~Final answers:
Adults=40
Children=35
The slope of the line is -1
Answer:
(A)241.4 people per mi²
Step-by-step explanation:
California's Population=39.51 million=39,510,000
California's Land Area=163,676 mi²
Population Density=Population ÷Area
=39,510,000÷163,676
=241.39
≈241.4 people per mi² (correct to the nearest tenth)
The expression that is equivalent to 9^5 is 3^2
Answer: 15 + 53/77
Step-by-step explanation:
Multiplying a fraction by 1 does not change the value.
Any number divided by itself is 1.
For instance, 11/11 = 7/7 = 1.
12 + 1/7 + 3 + 6/11 = 15 + 1/7 + 6/11
= 15 + (11×1)/(11×7) + (7×6)/(7×11)
= 15 + 11/77 + (6×7)/77
= 15 + (11 + 6×7)/77
= 15 + 53/77
It is faster to make sure to multiply by the "smallest" form of one that will work, but you don't have to. You only need to make sure that at the end there are no common factors in numerator and denominator, and that numerator is smaller than denominator.