Answer:
yes
Step-by-step explanation:
they are all equivalent because they all equal 0.9
9/10 = 90/100 = 0.9
all percentages can be converted to fraction by putting them over a hundred
90% = 90/100 = 0.9
0.9 obviously = 0.9
Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
The $50 off was like a coupon after you brought all your merchandise to the counter, so we have to add it back in to determine the number of shirts.
$400+$50=$450 original price of shirts
Original price ÷ price per shirt= quantity purchased
$450 ÷ $15/shirt= 30 shirts purchased
Allison bought 30 shirts.
Hope this helps! :)
Answer:
137 cars per hour
Step-by-step explanation:
Since there were 685 cars all together you have to do 685 divided by 5 so that you can get your answer of 137 cars per hour
