Answer:
Area of the rectangular pen is: 
Step-by-step explanation:
We need to specify that the perimeter of the rectangular area of side x adds to the amount of fence Pablo has (36 feet). Recall as well that the opposite sides of a rectangle are equal, so if there is a side of length x, there must be another one of this size as well (a total of 2 x in the perimeter),let's assume that the perpendicular sides to x are of length y, then:
Perimeter= 2 x + 2 y = 36
so, 2 (x+y) = 36 then (x+y) = 18
and therefore the side y should be:
y = 18 - x
Now we can write the formula for representing the area of the rectangle (product of both quantities: x * y
Solve your system of equations.
2x+y=1;4x+2y=−1
Solve 2x+y=1 for y:
2x+y+−2x=1+−2x(Add -2x to both sides)
y=−2x+1
Substitute (−2x+1) for y in 4x+2y=−1:
4x+2y=−1
4x+2(−2x+1)=−1
2=−1(Simplify both sides of the equation)
2+−2=−1+−2(Add -2 to both sides)
0=−3
Answer: No solution. C)
Answer:
y-intercept: (0, -3)
x-intercept: (5, 0)
Step-by-step explanation:
Trick question! The problem gives you the x and y intercepts. x intercept is when y is 0, and y intercept is when x = 0!
2. 3. 5. are correct
1. and 4. are actually interchanged
Answer:
10 2/15 hours
Step-by-step explanation:
If we have a candle that is 11 2/5 inches tall
It burns 1 1/8 inches per hour. We need to divide to see how long the candle will last
11 2/5 ÷ 1 1/8
I will convert the mixed numbers to improper fractions
11 2/5 = (5*11+2)/5 = 57/5
1 1/8 = (8*1+1)/8 = 9/8
57/5 ÷ 9/8
Copy dot flip
57/5 * 8/9
456/45
Now we change it back to a mixed number
45 goes into 456 10 times with 6 left over
10 6/45
This simplifies to 10 2/15
