Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.
The point C at a coordinate of (-3, 4) is the center of dilation of shapes WXYZ to W'X'Y'Z'
<h3>How to determine the center of dilation?</h3>
The coordinates are given as:
- W = (-4, 3) X = (-2, 3) Y = (-4, 1) Z = (-2, 1)
- W' = (-6, 1) X' = (0, 1) Y' = (-6, -5) Z' = (0, -6)
- A = (-5, 4) B = (-3, 6) C = (-3, 4) D = (-1, 4)
Next, we plot the points on a coordinate plane
From the plane (see attachment), we can see that the point C at a coordinate of (-3, 4) is at the center of both shapes, and it is 1 unit from WXYZ and 3 units from W'X'Y'Z'.
Hence, the point C is the center of dilation
Read more about dilation at:
brainly.com/question/3457976
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First you would do parenthesis according to the PEMDAS(Parenthesis, Exponents, Multiply, Divide, Add, Subtract) Rule
4 -2(-5a -10) = 30
4 + 10a + 20 = 30
Now you need to add 4 and 20 because they are on the same side
24 + 10a = 30
Now subtract 24 on both sides
24 + 10a = 30
-24. -24
10a = 6
Last divide 10 from both sides
10a/10. = 6/10
a= 6/10
Last simplify (optional but recommended)
a = 3/5 or 0.6
Hope this helped :)
A = 0.6