The LCM of 10 and 12 = 60.
Hope this helped!
<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)
We are given the equation:
h = 22,000 – 480 t
where h is height . The plane will land when h = 0,
therefore:
0 = 22,000 – 480 t
480 t = 22,000
t = 45.83 minutes
<span>hence the plane will land after 45.83 minutes</span>
How should you write the proportion 9:36 = 10:40 using words?
A. 9 is to 36 as 40 is to 10
B. 9 is to 10 as 36 is to 40
C. 36 is to 9 as 10 is to 40
D. 9 is to 36 as 10 is to 40
a) For 900 units of currency X, at an exchange rate of y = 1.05x, you could get <u>945 of currency Y.</u>
b) The inverse function is x is <u>0.9524y</u> and it represents the conversion of units of currency Y to units of currency X.
c) For 46 units of currency Y, at the exchange rate of x = 0.9524y, you could get <u>43.81 of currency X</u>.
<h3>What is an exchange rate?</h3>
An exchange rate is a value that a currency has with another.
The exchange rate shows the proportion or ratio at which two currencies are exchanged.
<h3>Data and Calculations:</h3>
The exchange rate of X (x) to Y 9y) is y = 1.05x.
For 900 units of currency X, you could get 945 of currency Y (1.05 x 900)
The inverse function is x = 0.9524y (900/945)y
For 46 units of currency Y, you could get = 43.81 of currency X (0.9524 x 46).
Learn more about exchange rates at brainly.com/question/4711402
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