Answer:
As a prank, a friend decided to fill your car with balls from a ball pit. assuming the inside of your car is a rectangular prism
1 answer:
Answer:
D
Step-by-step explanation:
We need volume of rectangular prism and volume of sphere.
Volume of Rectangular Prism = length * width * height = 10 * 5 * 3 = 150 sq. ft.
3 inches is 3/12 = 0.25 ft
Volume of Sphere = sq. ft.
<em>How many of these can u fit in 150 sq. ft??</em>
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<em>150/0.065 = 2307.69</em>
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That's not one of the choices, but we can defnitely fit 2294 of the balls. So D is the correct answer.
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Answer:
a. y = -1/2x - 2
Step-by-step explanation:
The correct answer choice can be determined by finding the slope of the line. The slope is the ratio of rise to run.
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<h3>slope</h3>The x-intercept is 4 units left of the y-axis. As the line "runs" those 4 units, it "rises" -2 units to intercept the y-axis at -2. The slope of the line is ...
m = rise/run = -2/4 = -1/2
In the slope-intercept form of the equation of a line, the slope is the coefficient of x. This information is sufficient to let us choose the first answer choice.
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<h3>equation</h3>The slope-intercept equation is ...
y = mx +b . . . . . . . slope m, y-intercept b
We know the slope is -1/2, and the y-intercept is where x=0, at y=-2. Then the equation is ...
y = -1/2x -2 . . . . . matches choice A
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<em>Additional comment</em>
When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.
When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.
