Answer:
the scores on her last test is x (x > 0)
because on her last tests she scored 4 points lower than she did on her fifth test
=> the scores in the 5th test is x + 4
because Angela’s average for six math tests is 87, we have:
![\frac{93 + 87 + 82 + 86 + x + x + 4}{6} = 87 \\ \\ < = > \frac{352 + 2x}{6} = 87 \\ \\ < = > 352 + 2x = 522 \\ \\ < = > 2x = 170 \\ \\ < = > x = 85](https://tex.z-dn.net/?f=%20%5Cfrac%7B93%20%2B%2087%20%2B%2082%20%2B%2086%20%2B%20x%20%2B%20x%20%2B%204%7D%7B6%7D%20%3D%2087%20%5C%5C%20%20%5C%5C%20%20%3C%20%20%3D%20%20%3E%20%20%5Cfrac%7B352%20%2B%202x%7D%7B6%7D%20%20%20%3D%2087%20%5C%5C%20%20%5C%5C%20%20%3C%20%20%3D%20%20%3E%20352%20%2B%202x%20%3D%20522%20%5C%5C%20%20%5C%5C%20%20%3C%20%20%3D%20%20%3E%202x%20%3D%20170%20%5C%5C%20%20%5C%5C%20%20%3C%20%20%3D%20%20%3E%20x%20%3D%2085)
=> on her last test, she had 85
=> on her 5th test, she had 85 + 4 = 89
Answer:
-15
Step-by-step explanation:
Let a = 2 and c = -7.
![c-4a\\(-7)-4(2)\\-7-8\\-15](https://tex.z-dn.net/?f=c-4a%5C%5C%28-7%29-4%282%29%5C%5C-7-8%5C%5C-15)
39 is 48.75 percent of 80.
Given:
Three different integer addition expressions equal −5.
To find:
The three different integer addition expressions.
Solution:
We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.
![(-5)+0=-5](https://tex.z-dn.net/?f=%28-5%29%2B0%3D-5)
One expression is
.
The other expression are:
![(-6)+1=-5](https://tex.z-dn.net/?f=%28-6%29%2B1%3D-5)
![(-7)+2=-5](https://tex.z-dn.net/?f=%28-7%29%2B2%3D-5)
Therefore, the three different integer addition expressions that are equal to -5 are
.