Answer:
1/5
Step-by-step explanation:
For Monday
The fraction of homework Chain completed =
40% of her homework
= 40% = 40/100
= 2/5
For Tuesday
The amount of home work left =
= 1 - 2/5
3/5
The fraction of homework Chain completed on Tuesday = 2/3
= 2/3 Of 3/5
= 2/3 × 3/5
= 2/5
Let the total complete homework be represented by 1
Hence:
The Fractional part of her homework left for her to complete after Tuesday =
1 - (2/5 + 2/5)
Lowest common denominator is 5
= 1 - (2 + 2/5)
= 1 - (4 /5)
= 1/5
1/5x + 3 = 10
Subtract by 3 on both sides.
1/5x = 7.
Now to isolate the variable, flip the coefficient in front of the variable and multiply both sides by it.
5(1/5x) = 7(5)
x = 7(5)
x = 35
Now to check:
1/5(35) + 3 = 10
35/5 + 3 = 10
35/5 is 7.
7 + 3 = 10
10 = 10
It would be C) y = ( x + 1 ) ( x - 3 ) ( x - 2 ) because when you graph the points it falls to the left and rises to the right.
If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)
Answer:
The original selling price would be $ 515.87 ( approx )
Step-by-step explanation:
Consider the complete question is :
"A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $325. Find the original selling price of the ski set. It was marked down 10% and 30%"
Suppose x be the original selling price ( in dollars ),
After marking down 10%,
New selling price = x - 10% of x = x - 0.1x = 0.9x
Again after marking down 30%,
Final selling price = 0.9x - 30% of 0.9x
= 0.9x - 0.3 × 0.9x
= 0.9x - 0.27x
= 0.63x
According to the question,
0.63x = 325
Therefore, the original selling price would be $ 515.87.
