Let's create expressions and equations to model this situation. Let Anthony's age be a.
"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18
How old is Jim?
Let's solve the above equation for a to first find Anthony's age.
3a - a = 18
2a = 18
a = 9
Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.
3a
3(9)
27
Answer:
Jim is 27 years old.
Answer:
Continuous random variable
Step-by-step explanation:
Answer:
At least 1.72 miles per day.
Step-by-step explanation:
Given: Goal of running is at least 50 miles in a month.
Andrea have already run 7 miles.
Days left in the month is 25.
As given, Andrea have already run 7 miles.
∴ Andrea need to run this month= 
Days remaining this month is 25.
Now, finding miles need to run each day to meet her goal.
Miles need to run each day= 
⇒ Miles need to run each day= 
∴ Andrea need to run at least 1.72 miles to meet her goal this month.
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
Answer:

x = 37.85
Step-by-step explanation: