Answer:
The numbers are 7,1
Step-by-step explanation:
Let the one number be x
Then other number = 8 - x
x - (8-x) = 6
x - 8 + x =6
2x = 6 +8
2x = 14
x = 14/2
x = 7
So the other number =1
<em><u>The required average on next two tests are:</u></em>
![t\geq \frac{450-p}{2}](https://tex.z-dn.net/?f=t%5Cgeq%20%5Cfrac%7B450-p%7D%7B2%7D)
<em><u>Solution:</u></em>
An A grade will be given to students having at least 450 total test points
Let p represent her present test point total, and t represent the necessary average on the next two tests
There are two more tests to take before the semester is over
Therefore,
![p+2t\geq 450](https://tex.z-dn.net/?f=p%2B2t%5Cgeq%20450)
A grade is given to students having at least 450 total test points
"at least" means greater than or equal to
So we have used greater than or equal to symbol
Solve the inequality for "t"
![p+2t\geq 450\\\\Subtract\ p\ from\ both\ sides\\\\2t\geq 450-p\\\\Divide\ both\ sides\ by\ 2\\\\t\geq \frac{450-p}{2}](https://tex.z-dn.net/?f=p%2B2t%5Cgeq%20450%5C%5C%5C%5CSubtract%5C%20p%5C%20from%5C%20both%5C%20sides%5C%5C%5C%5C2t%5Cgeq%20450-p%5C%5C%5C%5CDivide%5C%20both%5C%20sides%5C%20by%5C%202%5C%5C%5C%5Ct%5Cgeq%20%5Cfrac%7B450-p%7D%7B2%7D)
Thus the required average on next two tests are:
![t\geq \frac{450-p}{2}](https://tex.z-dn.net/?f=t%5Cgeq%20%5Cfrac%7B450-p%7D%7B2%7D)
Answer:
The answer is A :)
Step-by-step explanation:
Answer:
![s=1](https://tex.z-dn.net/?f=s%3D1)
Step-by-step explanation:
Using the diagram, we can see that the angle is a right angle.
With this information, we can set up an equation:
![77+8s+5=90](https://tex.z-dn.net/?f=77%2B8s%2B5%3D90)
Please note that right angles are always equivalent to 90 degrees.
![77+8s+5=90](https://tex.z-dn.net/?f=77%2B8s%2B5%3D90)
Add like terms:
![82+8s=90](https://tex.z-dn.net/?f=82%2B8s%3D90)
Subtract 82 from both sides:
![8s=8](https://tex.z-dn.net/?f=8s%3D8)
Divide both sides by 8
![s=1](https://tex.z-dn.net/?f=s%3D1)
70 is the diameter
35 is the radius
area = 3.14(r)^2
3.14(35)^2 = 3846.12^2
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