55 + 80 + 95 + 100 +115 +90 =535 actual enrollments. 75 + 80 +85 +90 +95 + 100 = 525 predicted enrollments. 535 - 525 = 10 residuals.
Answer:
Step-by-step explanation:
Add the amounts together:
Convert the whole number 1 into a fraction with denominator 4:
As all the denominators are the same, we can simply add the numerators:
Finally, convert the improper fraction into a mixed number:
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
<span>1.5 times the number of carnation bushes.
If the number of carnation bushes is c.
R = 1.5c - 7
Hope this helps:-)</span>
A scalene triangle is a triangle that has 3 sides that are all different lengths.
Let these letters represent the problem:
a = 8.7
b = side 2
c = side 3
P = 54.6
To find the perimeter, we just need to add all the sides [ P = a + b + c ]
So, put what we have in the formula above.
54.6 = 8.7 + b + c
Best of Luck!
