Let's write the parametric line
(x,y,z) = (0,2,8) + t(5,-1,4)
(5,-1,4) is called the direction vector of the line. It's normal to the plane
5x - y + 4z = constant
We get the constant by substituting the point (3,0,7),
5x - y +4z = 5(3) - 0 + 4(7) = 43
5x - y +4z = 43
368 he earned each week.
During the 4 weeks he earned 1472, to be able to know the amount he earn each week. We simply, divide 1472 into 4 because in a month there are 4 weeks. In dividing,1472/4 = 368. The above answer is correct.
Answer:
The number of multiple-choice questions are 15.
Step-by-step explanation:
Mrs. Snell's math test has twenty questions and is worth 100 points.
The test consists of multiple-choice questions and short answer questions.
Let M represents the Multiple choice questions.
Let S represents the short answer question.
It is given that the total number of question are 20.
...(1)
Also, multiple-choice questions worth 3 points each, and short answer questions worth 11 points each. The total worth of the test is 100 points.
...(2)
Multiply equation (1) by 3 and subtract from equation (2).

The total number of short answers is 5.
Put S=5 in equation 1.

Hence, the number of multiple-choice questions are 15.
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