Answer: B), C), and E)
Explanation for B:
This is one of the correct statements because to simplify the fraction into decimal form you would need to divide the numerator by the denominator, which in this case; 35 is the numerator and 40 is the denominator. Therefore divide 35 by 40 is a correct statement.
Explanation for C:
This is another correct statement because when you actually divide the number 35 from 40 into a decimal, you end up with the value 0.875.
Explanation for E:
Another correct statement. In decimal form, the fraction 35/40 terminates, meaning it does not go on forever, and it also does not repeat forever. When a decimal does not terminate or repeat, it is considered a rational number. Since the decimal 0.875 does neither, it is also considered a rational number.
I hope this helps you! :D
Let x be the number of hours the master electrician works and y the numbers of hours his apprentice works.
The master electrician earns $62 per hour, which means that he earns 62x.
His apprentice earns $40 per hour, which means that he earns 40y.
Together they are paid $492, so we can get the equation:
62x + 40y = 492.
We know that the electrician worked 3 hours more than his apprentice. So he worked x = y + 3 hours. Now let's replace x by its new value in the previous equation.
62x + 40y = 492
62(y+3) + 40y = 492
62y + 186 + 40y = 492
Now we need to put variables apart and numbers apart, so we subtract 186 from both sides of the equation:
62y + 40y + 186 - 186 = 492 - 186
102y = 306
Now we divide both sides by 102
(102y)/102 = 306/102
y = 3
So the apprentice worked 3 hours.
As we already mentioned, the electrician worked 3 hours more than his apprentice.
So he worked x = y + 3 = 3+3 = 6 hours.
The master electrician earns $62 per hour. Since he worked 6 hours, he earns 62 * 6 = 372 dollars.
So the master electrician earns $372 (Option D)
Hope this helps! :)
Answer:yoooo
Step-by-step explanation:
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The answer to the problem is as follows:
x = sin(t/2)
<span>y = cos(t/2) </span>
<span>Square both equations and add to eliminate the parameter t: </span>
<span>x^2 + y^2 = sin^2(t/2) + cos^2(t/2) = 1 </span>
<span>The final step is translating the original parameter limits into limits on x and y. Over the -Pi to +Pi range of t, x varies from -1 to +1, whereas y varies from 0 to 1. Thus we have the semicircle in quadrants I and II: y >= 0.</span>
Answer:
y= 1 and x=-2
Step-by-step explanation:
Since they both equal y, you can equal them to each other:
x + 3 = 2x + 5
Then solve:
x - x + 3 = 2x - x + 5
3 - 5 = x + 5 - 5
-2 = x
Substitute x in either equation to solve for y:
y = (-2) +3
y = 1
Or the other equation:
y = 2(-2) + 5
y = -4 + 5
y = 1
hope this helps :)
