Width of the rectangle is 9 units
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units
Area of the rectangle = length × width
54 = x (x - 3)
54 = x² - 3x
x² - 3x - 54 = 0
x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)
x(x + 6) - 9(x + 6) = 0
(x + 6)(x - 9) = 0
x = -6, 9 (negative value is neglected)
x = 9 units
Answer:
The correct answer is C. 8.15%.
Step-by-step explanation:
Given that Natasha is a bank teller, and she received a 5% raise last year and a subsequent merit raise of 3% this year, to determine what is the accumulative or compound effect of these two raises as a percentage, the following calculation must be performed, assuming, as an example, that her starting salary was $ 2,000:
(2,000 x 1.05) x 1.03 = X
2,100 x 1.03 = X
2,163 = X
2,000 = 100
2,163 = X
2,163 x 100 / 2,000 = X
216,300 / 2,000 = X
108.15 = X
108.15 - 100 = 8.15
Thus, the compound effect of both salary increases is a salary increase of 8.15%.
Answer:
Yes
Step-by-step explanation:
Multiply 4/5 so that they have a common denominator.
14/15 > 12/15 (4/5)
Answer:
Connexus: C,D,C,A,A.
Step-by-step explanation:
1165 divided by 255 = 5.17 = 5 costumes
