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2 years ago

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

Mathematics

1 answer:

Hunter-Best [27]2 years 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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the jellybean jar has a radius of 4.8 cm and a height of 11.8 cm. what would be a reasonable lower limit for the number of jelly

azamat

Answer:

$\large\boxed{\large\boxed{100}}$

Explanation:

This question comes with four answer choices:

10,000
100,000
100
1

You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.

The <em>jellybean ja</em>r is cylindrical, Thus, its volume is $\pi \times radius^2\times height$

To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:

$Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3$

The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):

$(2cm)^3=8cm^3\approx10cm^3$