Answer:
4 apples per friend
Step-by-step explanation:
<u>Step 1: Find how much she can share for each friend
</u>
56 / 14
<em>4 apples per friend
</em>
Answer: 4 apples per friend
Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have
We can expression one variable in terms of the others as
Since the area is the product of the dimensions, we have
This is a parabola facing down, so it's vertex is the maximum:
So, the maximum is
And since we know that , we have as well.
This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.
Answer: Sandra's salary in the previous year was $48,000
Step-by-step explanation:
Hi, the expression given is missing the $2000 more that she earns this year.
0.14 (x +2000) =7000
Where:
- <em>x is Sandra's salary in the previous year.
</em>
- <em>0.14 is the decimal form of 14% (14/100=0.14)
</em>
Solving for x :
0.14(x) +0.14 (2000) =7000
0.14x +280 =7000
0.14 x = 7000-280
0.14x = 6720
x = 6720/0.14
x=48,000
Sandra's salary in the previous year was $48,000
Feel free to ask for more if needed or if you did not understand something.
Answer:
-18
Step-by-step explanation:
First, simplify this system:
<span>2x = -10y + 6 and x + 5y = 3
by dividing the first equation by 2. Result: </span><span>x = -5y + 3
Subbing this into the 2nd equation, -5y + 3 + 5y = 3
This equation is always true, so this system has infinitely many sol'ns.</span>