Answer:
In order to subtract fractions, there must be a common denominator (the number on the bottom of the fraction). 7 and 3 can be multiplied to get 21 (a common factor). To get each fraction to have a denominator of 21, they can be multiplied by 3 and 7 respectively and then subtracted. Attached is an image of the problem worked out. I apologize for the messy handwriting. Hope this helps!
Step-by-step explanation:
3(x+1) = 2(x-8) + 3. First, remove the parentheses by distributing (multiplying out the numbers):
3x + 3 = 2x - 16 + 3.
Then, combine any like terms on the same side of the equals sign;
3x + 3 = 2x -13.
Then, move the like terms on opposite sides of the equals sign to the same side of the equals sign (don't forget to change the signs)..
3x -2x = -13 - 3.
Then combine the like terms on the same side of the equals sign again.. x = -16 .
The angles of a quadrilateral add to 360, so we can solve for x by adding the 4 angle measures together and setting it equal to 360:
90 + 140 + (x - 10) + (x - 20) = 360
Combine like terms:
230 + 2x - 30 = 360
200 + 2x = 360
200 - (200) + 2x = 360 - (200)
2x = 160
Divide both sides by 2:
2x/(2) = 160/(2)
x = 80
Answer:
Step-by-step explanation:
4 (x -2 ) - 3 = 7x
expanded = 4x - 8 (you have to multiply the -2 as well) -3 = 7x
The circumference of a circle has the formula:
C = 2 π r
Now when it is dilated by a factor of 4, this only means
that the radius is also multiplied by a factor of 4, therefore the new
circumference is:
C’ = 2 π (4 r)
C’ = 8 π r
So it also grows 4 times.
Answer:
<span>The circumference will be 4 times greater than the
original.</span>
