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.
Answer:
12°
Step-by-step explanation:
Let's start with the easy first.
We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.
Now, we can use this to find the remaining two angles.
180° - 39° = 141°
So, this means that we can set up m∠A + m∠B = 141°.
6x + 9 + x - 8 = 141
7x + 1 = 141
7x = 140
x = 20
Finally, we can plug in for our x value and find m∠B.
m∠B = x - 8
m∠B = 20 - 8
m∠B = 12°
This question requires you to covert minutes and seconds to degrees
In the question we have 59 minutes and 60 seconds that needs to be converted.
1°=60 minutes
59 minutes = 59÷60
=0.983333°
60 seconds = 1 minute
1 minute = 0.0166667°
So, <span>24° 59' 60" will be equal to
</span>
24°+0.983333°+0.0166667°= 24.9999997°
Answer:
To get the answer you need to add these together to find the total number of quarts she made.
8+5+5= 18 quarts of soup.
If everyone gets one cup, then 18 people are able to get soup.
The answer is 18 guests.
Step-by-step explanation:
Hope this helps!
Answer:
8/9
Step-by-step explanation:
divide both by 4
