Answer:
C. 101 - 5(n - 1)
Step-by-step explanation:
d = (26 - 71)/(16 - 7)
d = -45/9
d = -5
a7 = a1 + (7-1)(-5)
71 = a1 - 30
a1 = 101
an = 101 + (n - 1)(-5)
an = 101 - 5(n - 1)
Irst thought: since he needs 7 3/4 tons, and each load can carry LESS than a ton, he'll need to make MORE than 7 3/4 loads. So when you get your answer, make sure it it passes that common sense test. Next: He's got to divide the 7 3/4 ton total among all those loads, 3/4 ton at a time. So he needs to divide: 7 3/4 divided by 3/4. It will be easier to do the math if we turn 7 3/4 into an improper fraction, which will be 31/4. So we have to divide 31/4 divided by 3/4, which will give us 10, with 1/4 left over, for a total of 10 1/4 loads. BUT: the wording is that each load carries AT MOST 3/4 ton, so he may carry less than that amount in any given load(s). So he needs to do an amount GREATER THAN OR EQUAL TO 10 3/4 loads. For practical purposes, that means he has to fill his truck (at least part way) 11 different times. (Think of it as completely filled the first 10 times, and 3/4 filled on the 11th/final time.)
And? What happens to her and the calculator?
Answer:

Step-by-step explanation:
It is given that triangle ACB is the preimage and triangle DFE is the image.
We need to find the scale factor of the dilation.
In the given triangles, side AC and DF are corresponding sides.
Therefore, the scale factor of the dilation is
.
The answer would be 10.976.