If three rolls are $2.07, then one roll is $0.69. You just divide each number by three, because you’re trying to figure out the price for one roll. Two rolls would be $1.38 because $0.69 * 2 = $1.38.
Answer:
x^2 - 49= (x+7) (x -7)
Step-by-step explanation:
Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
Properties of rhombus:
1. All the sides are equal
2. Opposite angles are equal
3. Diagonal bisect each other at right angle.
4. Diagonal bisects the angle of the rhombus.
Hope you can solve the questions now:)
For maximum area, we take first derivative and then equalize it to zero
<span>A(x) = 27x- x^2 </span>
<span>A'(x) = 27 - 2x </span>
<span>Set that equal to zero and solve for x : </span>
<span>27 - 2x = 0 </span>
<span>27 = 2x ......................... [ added 2x to both sides ] </span>
<span>13.5 = x ........................ [ divided both sides by 2 ] </span>
So the area will be
<span>A = 27(13.5) - (13.5)^2 </span>
<span> = 364.5 - 182.25 </span>
<span> = 182.3 ft^2 </span>
