If y = -5x - 8, choose all the solutions.
1 answer:
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Answer:
Step-by-step explanation:
<u>Given:</u>
2/20 : 1/40
A). First re-write the ratio as follows;
(i) Change the ratio sign to division (÷). i.e
2/20 ÷ 1/40
(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)
(2/20) × (40 / 1) = ×
=
B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.
So to convert to unit rate, we keep simplifying until the denominator becomes 1.
And since the denominator is already 1, there is no need for further simplification.
Therefore, 2/20 : 1/40 to unit rate is
Using the Fundamental Counting Theorem, there are 60 different ways to order the pizza.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
For this problem, the parameters are found as follows:
- For the sauce, there are 2 options, cheese or tomato, hence
.
- For the topping, there are 4 options, but the options may be combined, for example, Pepperoni and Sausage, hence
.
- The topping can be added to either all the pizza or only half the pizza, hence
.
Thus the number of ways is given by:
N = 2 x 15 x 2 = 60.
More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866
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