Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
Answer:
42 child and 70 adult
Step-by-step explanation:
Let a = number of adult tickets
c = number of child tickets
a+c = 112
2.25a + 1.75c = 231
Solve the first equation for a
a = 112-c
Substitute this into the second equation
2.25(112-c) + 1.75c = 231
Distribute
252 - 2.25c +1.75c = 231
Combine like terms
252 -.5c = 231
Subtract 252 from each side
252-252 -.5c = 231-252
-.5c = -21
Divide each side by -.5
-.5c/-.5 = -21/ -.5
c = 42
Now can find a
a = 112-c
a = 112-42
a = 70
Answer:
is the value of x. Step-by-step explanation: We have been given the two terms which are equivalent means they have equal value: and . So, by the given information: we have to solve for x: Firstly, we will cross multiply so, we will get: After simplification we will get the final result is the value of x.
Step-by-step explanation:
Answer:
0.3
Step-by-step explanation:
Given: The odds of winning a contest are 3:7
To find: probability of winning the contest
Solution:
Probability refers to chances of occurrence of an event.
Odds are defined as (chances for success) : (chances against success)
Probability of winning = (chances for success) : (chances for success + chances against success)
As odds of winning a contest are 3:7,
(chances for success) : (chances against success) = 3:7
So,
Probability of winning the contest = 
