Answer: 3

Explanation:

Students that takes course one or both courses.

20 + 25 = 45

Students that take course. Not including both courses students.

45 - 8 = 37

Students that doesn’t take course.

40 - 37 = 3

8 0

3 years ago

Find the equation of the line that is perpendicular to y = 1/4 x – 2 and passes though the point (5, –2).

zlopas [31]

$\textsf{Let y = ax + b the line we want to find.}$

$\textsf{We know that the slope of y = ax + b is the inverse of the slope of } \mathsf{ y = \frac{1}{4}x - 2.}$

$\textsf{Thus:}$

$\mathsf{a = \dfrac{1}{\frac{1}{4}} = 4}$

$\textsf{As y = 4x + b passes thought (5, -2):}$

$\mathsf{-2 = 4 \cdot 5 + b \Rightarrow 20 + b = -2 \Rightarrow b = -22}$

$\textsf{Hence the line y = 4x - 22 is perpendicular to }\mathsf{y=\frac{1}{4}x - 2}\textsf{ and passes for the point (5, -2).}$

6 0

3 years ago

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2. What is the product of 4 2/3 and 11 1/4?

Lerok [7]

$4 \frac{3}{4} ~*~ 11\frac{1}{4} = \frac{14}{3} ~*~ \frac{45}{4} = \frac{630}{12}=52 \frac{6}{12} =[52 \frac{1}{2} ]$

3 0

3 years ago

Solve each single-step equation. Show your work. -15+n=-9

Serggg [28]

Answer:

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

3 0

3 years ago

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