Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)
(2)-> q-d= 6
q-d+d= 6+d
q= 6+d...(2a)
(2a)-> (1) 0.25q+0.10d=3.95
0.25(6+d)=0.10d= 3.95
1.95+0.25d+0.10d= 3.95
0.35d= 3.95-1.5
0.35d/0.35= 2.45/0.35
d= 7...(3)
(3)->(2) q-d= 6
q-7= 6
q=6+7
q= 13
There are 13 quarters and 7 dimes.
Sidh will need 0.375 pound of watermelon or 3/8 in fraction form to make the fruit salad. When you divide the original 3/4 into two you get this.
Sad to say it is likely D. If you are in the United States, I wouldn't know what deductions are available, but here are some possibilities.
1. Gladys is a single Mom. She gets to deduct her child.
2. Gladys owns her own home and gets to deduct her municipal tax. Michelle is renting and may be able to deduct something but not as much.
3. Gladys gets to deduct medical expenses. Michelle does not.
4. Gladys has a travelling allowance that is deductible. Michelle does not.
5. Gladys goes to church and tithes. Michelle does not.
6. Gladys has a registered savings plan. Michelle does not.
The problem is that the two women might very well be in a different tax bracket when all the deductions are considered. That depends on how the US system works. I don't think you are supposed to choose A. All other things being equal, they should be in the same tax bracket.
I don't see how B would come about. Usually state is dependent on Federal (it is in Canada anyway).
C is definitely wrong unless the savings plan is registered. Any savings plan that produces dividends or interest that is not registered is taxable.
This is a stupid question. The teacher who asked this needs to go back to school.
A = x⁴ - 9y²
That's going to be a number. As long as it's positive we can choose any length for our rectangle L and we can compute the width by W=A/L. So the correct answer is the dimensions are L by (x⁴ - 9y²)/L.
They don't want the correct answer. They want you to factor this expression. We'll do it, but don't believe for a second this factoring somehow constrains the possible dimensions of some rectangle.
We use the difference of two squares, a²-b² = (a+b)(a-b)
A = x⁴ - 9y² = (x²)² - (3y)² = (x²+3y)(x²-3y)
Answer: x²+3y by x²-3y
ANSWER
D. A'(-5,0), B'(0,9) and (2,6)
EXPLANATION
The coordinates of triangle ABC are A(0,-5), B(-9,0) and C(-6,2).
A rotation of 90° clockwise about the origin has the mapping,
Therefore the image triangle has vertices
A'(-5,0), B'(0,9) and C'(2,6)
The correct choice is D.
