Answer:
x = 10
Step-by-step explanation:
2x/3 + 1 = 7x/15 + 3
<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>
2x + 3 = 21x/15 + 9
<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>
30x+ 45 = 21x + 135
<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>
9x = 90
<em><u>(divide 90 by 9)</u></em>
x = 10
<h2>
Another solution:</h2>
2x/3 + 1 = 7x/15 + 3
<u><em>(find the LCM of 3 and 15 = 15)</em></u>
<u><em>(multiply everything in the equation by 15, then simplify)</em></u>
10x + 15 = 7x + 45
<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>
3x = 30
<em><u>(divide 30 by 3)</u></em>
x = 10
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
Answer:
1985 cubic units (written as un. with the cubed exponent)
Step-by-step explanation:
First, you find the volume of the cylinder
Here's the formula:

Now, you plug in and solve.

Then, you find the volume of the dome.
Here's the formula:

Now, you just plug in and solve.

Finally, you add them together, and there's your answer!

Hope this helped!
<em>brainliest?</em>
Answer:
Below in bold.
Step-by-step explanation:
300 degrees - reference angle is |360 - 300 |= 60 degrees
225 = 225 - 180 = 45 degrees
480 = 480 - 360 = 120 so it is 180 - 120 = 60 degrees.
-210 = |-210 + 180| = 30 degrees.