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1 year ago

5. How long will it take Greg to earn $500.00? Round to the nearest hour

Mathematics

1 answer:

Hunter-Best [27]1 year ago

5 0

Answer:

61 hours

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

<em>Kevin's wage</em>

Take any point from the table

I take the point (2,16.50)

$k=\frac{16.50}{2}=\$8.25\ per\ hour$

The equation of the proportional relationship is equal to

$y=kx$

substitute the value of k

$y=8.25x$

For y=$500.00

substitute the value of y in the equation and solve for x

$500=8.25x$

Divide by 8.25 both sides

$x=\frac{500}{8.25}=61\ h$

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1 year ago

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Answer:

a) r ^ ¬q

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c) r → p

d) p ^ ¬qꓥ^ r

e) (p ^ q) → r

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Step-by-step explanation:

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1 year ago

An urn contains 3 red and 7 black balls. Players and withdraw balls from the urn consecutively until a red ball is selected. Fin

Sliva [168]

Correct question:

An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn).

Answer:

The probability that A selects the red ball is 58.33 %

Step-by-step explanation:

A selects the red ball if the first red ball is drawn 1st, 3rd, 5th or 7th

1st selection: 9C2

3rd selection: 7C2

5th selection: 5C2

7th selection: 3C2

9C2 = (9!) / (7!2!) = 36

7C2 = (7!) / (5!2!) = 21

5C2 = (5!) / (3!2!) = 10

3C2 = (3!) / (2!) = 3

sum of all the possible events = 36 + 21 + 10 + 3 = 70

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= 120

The probability that A selects the red ball is sum of all the possible events divided by the total possible outcome.

P( A selects the red ball) = 70 / 120

= 0.5833

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1 year ago

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Answer:

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1 year ago

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Answer:

The second option

Step-by-step explanation:

The given system of equation is

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$\left[\begin{array}{cccc}1&2&0&|3\\-1&1&1&|2\\0&1&-2&|-3\end{array}\right]$

Note that the absence of z, in the first equation means its coefficient is zero. The same thing applies to x in the last equation.

The correct choice is the second option.

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1 year ago

5. How long will it take Greg to earn $500.00? Round to the nearest hour​

5. How long will it take Greg to earn $500.00? Round to the nearest hour