Answer:
B. -1/4
Step-by-step explanation:
Answer:
n + 6 = 7n
Step-by-step explanation:
"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.
n − 6 = 7n is not right because the statement says the sum of a number and six.
7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.
n = 7n + 6 is not right because the statement says the sum of a number and six which would be on the left side and that this would be equal to seven for n.
Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula
which describes the number of ways we can choose
objects given
possible choices. So, if
and
, then:
![_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35](https://tex.z-dn.net/?f=_4C_7%3D%5Cfrac%7B7%21%7D%7B4%21%287-4%29%21%7D%5C%5C%5C%5C_4C_7%3D%5Cfrac%7B7%2A6%2A5%2A4%21%7D%7B4%21%2A3%21%7D%5C%5C%5C%5C_4C_7%3D%5Cfrac%7B210%7D%7B6%7D%5C%5C%5C%5C_4C_7%3D35)
Hence, the teacher can make 35 different geometry quizzes.