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marin [14]
3 years ago
5

Ian worked 45 hours in a week, earning a total of $1101.60. He worked 35 hours normal time, 8 hours of time and a half and 2 hou

rs were double time. What is his normal hourly wage ?
(Show clear and easy working)
Mathematics
1 answer:
Fofino [41]3 years ago
3 0

Answer:

$21.6/hr

Step-by-step explanation:

Time paid

For 8 hours paid as 1.5, time is 8*1.5=12 hours

Similarly, for double hours, then it is 2*2=4

Given 35 normal hours, the total time will be the sum of 35, 12 and 4 hence 35+12+4=51 hours

Considering the pay of $1101.60 this is equivalent to hourly pay of 1101.60/51=21.6

Therefore, the hourly pay is $21.6 per hour

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9/17 15/34 6/17 9/34 geometric sequence?
zysi [14]
In a geometric sequence each number after the first is found by multiplying the previous number by a fixed number called the common ratio.

In an arithmetic sequence, each term is equal to the previous term plus or minus a constant called the common difference.

In your problem we have a sequence of numbers that appears to be decreasing in value, but on the surface it doesn't appear to be by any constant number... but if you look closely, the denominator 34 is exactly twice the other denominator 17. This would lead me to look at a common denominator to see if anything takes shape...

9/17 = 18/34
15/34
6/17 = 12/34
9/34

Now we see that each number is the previous number minus 3/34, so we have a common difference of 3/34.

This would match the definition of an arithmetic sequence and NOT a geometric sequence.
6 0
3 years ago
Find the coordinates of the point 7/10 of the way from A to B
OverLord2011 [107]

Answer:

  (6.8, 1.3)

Step-by-step explanation:

<u>Given</u>:

  A(-3, -5), B(11, 4)

<u>Find</u>:

  P such that AP/AB = 7/10

<u>Solution</u>:

Using the desired relation, we have ...

  (P -A)/(B -A) = 7/10

  10(P -A) = 7(B -A) . . . . . multiply by 10(B-A)

  10P = 7B +3A . . . . . . . . add 10A to both sides

  10P = 7(11, 4) +3(-3, -5) = (77 -9, 28 -15) = (68, 13)

  P = (68, 13)/10 = (6.8, 1.3)

The point 7/10 of the way from A to B is (6.8, 1.3).

7 0
3 years ago
Write the equation for the following relation. R = {(x, y): (4, 5), (8, 7), (12, 9), (16, 11), . . .} and show work
timama [110]

Let

A(4,5) B(8,7) C(12,9) D(16,11)

1) Find the slope AB

m=(y2-y1)/(x2-x1)

m=(7-5)/(8-4)=0.5

2) Find the slope BC

m=(9-7)/(12-8)=0.5

3) Find the slope CD

m=(11-9)/(16-12)=0.5

The points represent a linear function

so

<u>Find the equation of the line with m=0.5 and the point A(4,5)</u>

we know that

y-y1=m*(x-x1)

y-5=0.5*(x-4)

y=0.5*x-2+5

y=0.5*x+3

therefore

<u>the answer is</u>

The equation is equal to y=0.5*x+3

8 0
3 years ago
What is the equation of the line that passes through the points given in the table
Zepler [3.9K]

Answer:

B: y = -2x + 5

Step-by-step explanation:

-2 - 1 = -3

9 - 3 = 6

\frac{6}{-3} = -2

gradient = -2

3 = 1 x -2 + c

3 = -2 + c

5 = c

y intercept = 5

equation = y = -2x + 5

so the answer is option b

7 0
3 years ago
Plz answer all these questions for me I really need help
Ber [7]
A is 400

E I don't know soory
4 0
3 years ago
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