Answer:
x = 4
Step-by-step explanation:
Consecutive angles in a parallelogram are supplementary, sum to 180°, so
14x + 6 + 118 = 180
14x + 124 = 180 ( subtract 124 from both sides )
14x = 56 ( divide both sides by 14 )
x = 4
Answer: The average of the first two test scores is 97.
Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.
We are to find the average score of her first two tests.
Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.
Then, according to the given information, we have
and
Subtracting equation (ii) from equation (i), we get
Thus, the average of the first two test scores is 97.
Answer:
The indifference point is 100 minutes.
Step-by-step explanation:
Giving the following information:
Plan a cost $23 plus an additional $.08 for each minute of calls.
Plan B cost $19 an additional $.12 for each minute of calls.
<u>First, we need to establish the total cost formula for each plan:</u>
Plan A= 23 + 0.08*x
Plan B= 19 + 0.12*x
x= number of minutes
<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>
23 + 0.08x = 19 + 0.12x
4 = 0.04x
100= x
The indifference point is 100 minutes.
<u>Prove:</u>
Plan A= 23 + 0.08*100= $31
Plan B= 19 + 0.12*100= $31
Answer:
x)45
y)45
z)135
Step-by-step explanation:
