So she earned $34 in 4 hours, meaning she was earning at the rate of 34/4 or $8.5/hour. Is she works for 10 hours at the same rate, it would be 8.5 x 10 = $85. B is the correct proportion.

**Answer:**

2424.5

904.16

**Step-by-step explanation:**

the mean = ∑frequency /n

∑f = 5+17+36+115+125+81+47+45+22+7 = 500

∑xf = 1212250

∑x²f = 3347037625

sample mean = 1212250/500

= 2424.5

variance = 1/500-1[3347037625 - 1212250²]

= 815710.02

standard deviation is = √variance

standard deviation = √815710.02

= 904.16

Unit rate = 75 pages/45 minutes = 1 1/3 pages/minute

Time to read 425 pages = Total number of pages/Unit rate = 425/1 1/3 =255 minutes = 4 hours and 15 minutes.

Answer:

Step-by-step explanation:

6) the answer is option b

y = - x + 3

x - y = 1

From the graph, the point at which the lines of the two equations meet is the solution to the system of equations

The points = x = 2 and y = 1

If you substitute these values in option b, it satisfies the equations.

7) the correct option is d

-x + y = -3 - - - - - - -1

2x -y = 6 - - - - - - 2

If we solve using elimination method,

Multiply equation 1 by 2 and equation 2 by 1

-2x + 2y = -6

2x -y = 6

Adding both equations

y = 0 and substituting y = 0 in equation 2,

x = 3

So y = 0 and x = 3

So it has only one solution

8) The lines of the two equations meet at a point where x = 3 and y = 0

Option d is the correct answer

-x +y = -3

2x - y = 6

Substituting x = 3 and y = 0 in option d,

- 3 + 0 = -3

6 - 0 = 6

9) y = x-2

x = 17-4y

Substituting y = x - 2 in x = 17 - 4y, we have

x = 17 -4(x - 2)

Opening the bracket

x = 17 - 4x + 8

x + 4x = 17 + 8

5x = 25

x = 25/5 = 5