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3 years ago

11

Caleb works 15 hours per week mowing lawns in his neighborhood during summer vacation. He earns $7.50 per hour. If summer vacati

on is 10 weeks long, how much will he earn this summer?

2 answers:

kogti [31]3 years ago

8 0

If he works 15 hours, and ten weeks, that is 150 hours, because 15 x 10. then you multiply 150 by 7.50, which is 1125

Tema [17]3 years ago

3 0

10*15*7.50. Your answer is 1125. I hope I helped you.

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The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i

Marianna [84]

Answer:

It is given that the volume of a cone = $3\pi x^3$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3}\pi r^2h$

Equating the given volumes, we get

$3\pi x^3=\frac{1}{3}\pi r^2h$

$r^2h=3$ × $3x^3$

$r^2h=9 x^3$

It is given that the height is 'x' units.

Therefore, $r^2x=9x^3$

$r^2=9x^2$

Therefore, $r=3 x$

So, the expression ' $3 x$ ' represents the radius of the cone's base in units.

3 0

2 years ago

Question 5^ Need help ... ASAP ... your help is really appreciated ...

goblinko [34]

Answer:

See below

Step-by-step explanation:

I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)

Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4= $\frac{13}{4}$ and 11/4= $\frac{11}{4}$ . Next, we need to read the question carefully. It's asking us to place the point in the ratio <em>3</em> to <em>1</em> from <em>C</em> to <em>D</em>. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

$\frac{13}{4}*3 = \frac{39}{4}\\ 8-\frac{39}{4} = \frac{-7}{4}\\\frac{11}{4}*3 = \frac{33}{4} \\-2+\frac{33}{4} = \frac{25}{4}$

Therefore, our point that partitions CD into a 3:1 ratio is ( $\frac{-7}{4}, \frac{25}{4}$ ).

I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.

Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.

7 0

3 years ago

The volume of this cylinder is 20,403.72 cubic yards. What is the radius? Use ≈ 3.14 and round your answer to the nearest hund

MakcuM [25]

The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).

To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
r= sqrt(6,498/h)
Since ‘h’ is not specified here, it cannot be solved further.

4 0

2 years ago

On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

Tema [17]

Answer:

592 hours

Step-by-step explanation:

Given

$Area = 11000m^2$

$Radius = 0.10m/h$

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

$Area = \pi r^2$

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

$11000 = \pi * (0.10t)^2$

Substitute 3.14 for π

$11000 = 3.14 * (0.10t)^2$

Divide both sides by 3.14

$\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}$

$\frac{11000}{3.14} =(0.10t)^2$

$3503.18471338 = (0.10t)^2$

Take square root of both sides

$\sqrt{3503.18471338} = \sqrt{(0.10t)^2}$

$\sqrt{3503.18471338} = 0.10t$

$59.1877074516 = 0.10t$

Divide both sides by 0.10

$\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}$

$\frac{59.1877074516}{0.10} = t$

$591.877074516 = t$

$t = 591.877074516$

$t = 592\ hours$ <em>(</em><em>Approximated)</em>

<em>Hence, it'll take approximately 592 hours to cover the given area</em>

3 0

3 years ago

Read 2 more answers

Dan draws a circle with a radius of 8 inches. Question 1 Part A: What is the circumference of Dan's circle, inches? If needed, r

geniusboy [140]

Answer:

The circumference of Dan's circle is approximately 50.27 inches.

Step-by-step explanation:

The length of the circumference ( $s$ ), measured in inches, is determined by the formula:

$s = 2\pi\cdot r$ (1)

Where $r$ is the radius, measured in inches.

If we know that $r = 8\,in$ , then the length of the circumference is:

$s = 2\pi\cdot (8\,in)$

$s \approx 50.27\,in$

The circumference of Dan's circle is approximately 50.27 inches.

8 0

3 years ago