Answer: Ali would need to drive 350 miles for the two plans to cost the same.
Step-by-step explanation:
This question can be solved by creating two equations using the information supplied in the question and then solving these simultaneously.
Let the cost be C.
Let the number of miles be M.
Let the initial payment be i.
Let the rate per mile driven be R.
Plan 1:
C = i+R×M
C = 70+0.60M ... equation 1
Plan 2:
C = i+R×M
C = 0+0.80M
C = 0.80M ...equation 2
Substituting equation 2 into equation 1:
0.80M = 70+0.60M
0.80-0.60M = 70
0.20M = 70
M = 70/0.20
M = 350 miles
Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.
Step-by-step explanation:
for a linear function y = a*x + b
Rate = coefficient that is multiplicating the variable. ( a in this case)
Initial value = value taken of y, when we have x = 0 (b in this case)
Specific value = value forced on y.
In this case, we have:
y = 6 = 2*x + 4
Then:
The coefficient multiplicating x is 2, so the rate is 2.
The constant term is 4, so the initial value is 4.
The value equal to y is 6, so the specific value is 6.
The correct option is B.
Answer: Jenny would have to work 5 hours to get $85
Step-by-step explanation:
Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5
$29.99=$30
$30-$15=$15
Ace's profit is $15
Answer:
Three acute angles.
Explanation:
There are always three acute angles in an acute triangle.