Answer:
65
Step-by-step explanation:
(4-7i)(4+7i) =16 + 28i-28i -49i^2 ➡16 - 49i^2
16 + 49 = 65
the fault here is i^2= -1 and -1 multiplied by -49 is +49 not -49
Answer:
38
Step-by-step explanation: 19/3÷1/6
=19/3 x 3/1
= 114/3
=38
Answer: The answer would be C
Step-by-step explanation:
37 + 5 = 42
Each teacher needs 8 and there are 5 teachers
5 x 8 = 40
So each teacher can have 8 apples and there will be two left over
Answer:
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Answer: there are 10 multiple choice questions and 15 short-answer questions
Step-by-step explanation:
Let x represent the number of multiple choice questions in the test.
Let y represent the number of short-answer questions in the test.
If the test has 25 questions, it means that
x + y = 25
Multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points. The test is worth a total of 80 points. It means that
2x + 4y = 80 - - - - - - - -1
Substituting x = 25 - y into equation 1, it becomes
2(25 - y) + 4y = 80
50 - 2y + 4y = 80
- 2y + 4y = 80 - 50
2y = 30
y = 30/2 = 15
x = 25 - y = 25 - 15 = 10
A. The number of multiple-choice questions plus the number of short-answer questions is 25.