The question is unclear but I will assume they mean 1/4 and 3 1/2.
Find common denominators.
1/4
3 1/2 -> 3 2/4
Turn into an improper fraction.
3 2/4 -> 14/4
Divide.
14/4 / 1/4
14/4 * 4/1
56/4
14
So, they can make 14 ornaments.
Best of Luck!
Answer:
(least) 2,4,5,6,6,6,8,8 (greatest)
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
The solution of the inequality of the dotted red line is the shaded area above the dotted line
The dotted red line is parallel to the solid gray line
The equation of the solid gray line is equal to ----> given line
The slope of the solid gray line is m=-2
Remember that
If two lines are parallel, then their slopes are the same
therefore
The slope of the dotted red line is m=-2
The y-intercept of the dotted red line is b=2
Find the equation of the dotted red line in slope intercept form
we have
substitute
Remember that the solution is the shaded area above the dotted red line
therefore
Answer:
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5
Step-by-step explanation:
This problem can be solved in several ways. The way I like is as follows.
Ask yourself at what interest would $ 21,000 yield and interest of $ 2,215 in one year ? The equation to solve is:
21000(P) = 2215
P = 0.1055 or 10.55 %
This number is a weighed average of the 4% yield and the 15% yield so the next equation to solve is
10.55 = 4(1 – X) + 15X
Where X is the proportion of the loan given at the indicated interest. So
10.55 = 4 – 4X + 15X
6.55 = 11X
X = 0.5955
1-X = 0.4045
So the portion of the loan lent at 4% is 21000(0.5955) = $12,505.5
And the portion of the loan lent at 15% is 21000(0.4045) = $8494.5