Answer:
264 miles
Step-by-step explanation:
Find the unit rate (mpg):
66 miles
----------------- = 22 mpg
3 gallons
On 12 gallons he could drive (22 mpg)(12 gallons) = 264 miles
Answer:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the students are chosen is not important, so the combinations formula is used to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Desired outcomes:
4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So
Total outcomes:
4 students from a set of 13(number of students in the lottery). So
Probability:
0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒
"The sum of the numbers is 43"
⇒
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
Answer:
The second one
Step-by-step explanation: