Mrs. Gustafsson's English class is taking an exam that is made up of short-response questions and essay questions. There are 22
1 answer:
Answer:
Short-response question = 20.
Step-by-step explanation:
Let x be number of short response questions and y be the number of essay questions.
We have been given that there are 22 questions that are worth 100 points in total. Each short-response question is worth 4 points, and each essay question is worth 10 points. Using our given information we can form a system of equations as:
Now we will solve our system of equations using substitution method.
From equation 1 we will get,
Upon substituting in equation 2 we will get,
Therefore, there are 20 short-response questions on the exam.
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Answer:
Step-by-step explanation:
Given:
Type of Flowers = 5
To choose = 4
Required
Number of ways 4 can be chosen
The first flower can be chosen in 5 ways
The second flower can be chosen in 4 ways
The third flower can be chosen in 3 ways
The fourth flower can be chosen in 2 ways
Total Number of Selection = 5 * 4 * 3 * 2
Total Number of Selection = 120 ways;
Alternatively, this can be solved using concept of Permutation;
Given that 4 flowers to be chosen from 5,
then n = 5 and r = 4
Such that
Substitute 5 for n and 4 for r
Hence, the number of ways the florist can chose 4 flowers from 5 is 120 ways