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german
3 years ago
5

Please help, math question.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0
Part a) 
Identify the variable and categories


By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.

2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.

Part b)
Set up and fill 2 way table.

Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells

There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
 

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Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

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Equation Form:

x = 0 ,     y = 1

Step-by-step explanation:

Graph.

y = − 5/ 2 x − 1

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3 years ago
The upper-left coordinates on a rectangle are (-8,8), and the upper-right coordinates are (-3,8). The
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Answer:

Upper left coordinate (-8,8),

upper-right coordinates (-3,8)

Lower left (- 8, 5)

Lower right = ( - 3, 5)

Step-by-step explanation:

Given that :

Upper left coordinate (-8,8),

upper-right coordinates (-3,8).

x1, y1 = (-8, 8) ; x2, y2 = (-3, 8)

The distance, d = √(x2-x1)² + (y2 - y1)²

d = √(-3 + 8)² + (8 - 8)²

d = √25

d = 5

Recall :

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Length = distance, d

15 = 5 * w

15 = 5w

w = 15 / 5

w = 3.

Hence, coordinate becomes ;

x3, y3 becomes (- 8, (8-3)) = (-8, 5)

x4, y4 becomes (-3, (8-3)) = (- 3, 5)

Hence, we have

Upper left coordinate (-8,8),

upper-right coordinates (-3,8)

Lower left (- 8, 5)

Lower right = ( - 3, 5)

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3 years ago
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A man drove x miles per hour for 3e hours and (2x-60) miles per hour for the next 4.75 hours. Express the total distance he trav
avanturin [10]

Answer:

A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours.Express the total distance traveled in terms of x.

Total distance covered by the man in terms of 'x' = (12.5x-285)miles

Step-by-step explanation:

Given:

Speed of  a man = 'x' miles/hour

Time taken = 3 hour

So, distance = product of speed and time.

Distance covered in term of 'x' =(d_1=3x)

Now,

Speed = (2x-60) miles/hour

Time taken= 4.75 hours

Distance (d_2)  = (2x-60)\times 4.75

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Total distance covered by the man = Summation of  d_1 and d_2

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                                                           = (12.5x-285) miles

So the total distance covered by the man in terms of 'x' = (12.5x-285) miles.

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3 years ago
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