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Margaret [11]
2 years ago
8

I have no clue what the answer is​

Mathematics
1 answer:
spin [16.1K]2 years ago
7 0

Answer:

Second option is the correct answer.

Step-by-step explanation:

\frac{2}{3} x - 5 > 3 \\  \\  \frac{2}{3} x  >  5 + 3\\  \\  \frac{2}{3} x  >  8 \\  \\ x > 8 \times  \frac{3}{2}  \\  \\ x > 12

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How many roots does the equation -2x^3 = 0 have?<br> 3<br> 2<br> 1<br> 0
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A dog chases a squirrel. The dog is originally 200 feet away from the squirrel. The dog's speed is 150 feet per minute. The squi
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Answer:

15 seconds

Step-by-step explanation:

If you make a table of values for the dog and the squirrel using d = rt, then the rates are easy:  the dog's rate is 150 and the squirrel's is 100.  The t is what we are looking for, so that's our unknown, and the distance is a bit tricky, but let's look at what we know:  the dog is 200 feet behind the squirrel, so when the dog catches up to the squirrel, he has run some distance d plus the 200 feet to catch up.  Since we don't know what d is, we will just call it d!  Now it seems as though we have 2 unknowns which is a problem.  However, if we solve both equations (the one for the dog and the one for the squirrel) for t, we can set them equal to each other.  Here's the dog's equation:

d = rt

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And the squirrel's:

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If we solve both for t and set them equal to each other we have:

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Now we can cross multiply to solve for d:

150d = 100d + 20,000 and

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But we're not looking for the distance the squirrel traveled before the dog caught it, we are looking for how long it took.  So sub that d value back into one of the equations we have solved for t and do the math:

t=\frac{100}{d}=\frac{100}{400} =\frac{1}{4}

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3 years ago
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Answer:

(-5,0) or (0,-25) is another solution

Step-by-step explanation:

Do you have a list of choices? If not, you could choose random choices for x and y to determine if they are solutions. Start by letting y = 0. We see that x = -5, so (-5, 0) is a solution to this equation. In fact, it represents the x-intercept of this line. Now, let x = 0. We now see that y = -25, so (0, -25) is another solution to the equation of this line. This coordinate pair is the y-intercept of the line. Try using other values of x and y to see if you can come up with other solutions to this equation. 

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