The oil is the limiting reactant.
For this recipe, we are able to only make 2 batches with the ingredients that we have.
It would take: 4 cups of flour, 6 eggs and 2 tbs of oil.
We have enough for each of this. However, if we try to make more, we don't have any more oil that would be needed.
Sum/difference:
Let
This means that
Now, assume that is rational. The sum/difference of two rational numbers is still rational (so 5-x is rational), and the division by 3 doesn't change this. So, you have that the square root of 8 equals a rational number, which is false. The mistake must have been supposing that was rational, which proves that the sum/difference of the two given terms was irrational
Multiplication/division:
The logic is actually the same: if we multiply the two terms we get
if again we assume x to be rational, we have
But if x is rational, so is -x/15, and again we come to a contradiction: we have the square root of 8 on one side, which is irrational, and -x/15 on the other, which is rational. So, again, x must have been irrational. You can prove the same claim for the division in a totally similar fashion.
Your answer should be in one variable equation by using the Y and W angle. They are equal if you match with the same angle size.
7x=6x+11
(7-6)x = 11
x = 11
We got the x value, so suvtitute into W angle :
7x
=7(11)
= 77
Hope this helps :)
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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