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Sedbober [7]
3 years ago
7

In a particular week a man receives 909.50 but 229.50 was for a overtime. If he works a basic week of 40 hours and overtime is p

aid for at the time and a half rate, calculate the amount of hours worked that week.
Mathematics
1 answer:
Airida [17]3 years ago
8 0
Total salary = 909.50
Out of this, overtime salary was = 229.50

Normal salary for 40 hours was = 909.50 - 229.50 = 680

Hourly rate = 680/40 = 17

Overtime is time and half = 17 + 17/2 = 17 + 8.5 = 25.5

Number of overtime hours = 229.50/25.5 = 9 hours
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An airplane travels 800 miles with the wind in the same of time it takes to travel 650 miles against the wind. What is the speed
SOVA2 [1]

Answer:

90 mph

Step-by-step explanation:

Against wind DATA:

distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph

With wind DATA:

distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph

Equations:

p + w = 300

p - w = 120

2p = 420

p = 210 mph (speed of the plane in still air)

Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)

3 0
4 years ago
Please help and show work
sashaice [31]
The answer to the question is 14

x^4 + 14x^2 + 49


(x^2 + 7)^2

perfect square
3 0
3 years ago
Evaluate each numerical expression
ioda

{3}^{4}  - ( - 4)^{2}  =81 - (16) = 65

I hope I helped you^_^

7 0
3 years ago
Read 2 more answers
What value of x is in the solution set of -2(3x + 2) > -8x + 6?
n200080 [17]

Answer:

x > 5

Step-by-step explanation:

Given that:

= -2(3x + 2) > -8x + 6

 (negative sign before bracket will alter the internal signs when multiplied by each term)

= -6x - 4 > -8x +6

Taking x terms on left side and other constants on right side

= -6x + 8x > 6 +4

Signs will be changer for transferred terms

= 2x > 10

By Dividing both sides 2 we get

=x > 10/2

= x >5

5 0
3 years ago
(5 points) An urn contains two blue balls denoted by B1 and B2, and three white balls denoted by W1, W2 and W3. One ball is draw
never [62]

Answer:

The probability of the event that first ball that is drawn is blue  is \frac 25.

Step-by-step explanation:

Probability:

If S is is an sample space in which all outcomes are equally likely and E is an event in S, then the probability of E,denoted P(E) is

P(E)=\frac{\textrm{The number of outcomes E}}{\textrm{The total number outcomes of S}}

Given that,

An urn contains two balls B₁ and  B₂ which are blue in color and W₁,W₂ and W₃ which are white in color.

Total number of ball =(2+3) =5

The number ways of selection 2 ball out of 5 ball is

=5²

=25

Total outcomes = 25

List of all outcomes in the event that the first ball that is drawn is blue are

B₁B₁ , B₁B₂ , B₁W₁ , B₁W₂ , B₁W₃ , B₂B₁ , B₂B₂ ,  B₂W₁ , B₂W₂ , B₂W₃

The number of event that the first ball that is drawn is blue is

=10.

The probability of the event that first ball that is drawn is blue  is

=\frac{10}{25}

=\frac25

3 0
4 years ago
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