Answer:
8 ounce can for 0.25
Step-by-step explanation:
Hope this will help!!!
Neither train a or train b
Answer:
<em>C) 7</em>
Step-by-step explanation:
<u>Quadratic equation</u>
The quadratic equation can be written in several ways, one of the most-used is
To rewrite the equation in the form
we can complete squares and rearrange the terms as follows. The provided equation is
The second term can be seen as
And the first two terms can be visualized as the square of a binomial
We have added and subtracted 81 to complete the square and not modify the equation. The new form of the equation is
Rearranging
Comparing with the general form written above, we find that
Answer:
x = -4, y = 7, z = 2.
Step-by-step explanation:
4x + 2y + 5z = 8......(1)
5x + 3y + 4z = 9......(2)
6x + 3y + 3z = 3......(3)
Subtract: equation (2) - equation (3):
-x + z = 6 ........(4)
Multiply (1) by 3 and (2) by 2:
12x + 6y + 15z = 24 .........(5)
10x + 6y + 8z = 18 ...........(6)
Subtract: (5) - (6):
2x + 7z = 6..............(7)
Multiply equation (4) by 2:
- 2x + 2z = 12.........(8)
Add (7) + (8):
9z = 18 , so z = 2.
Substitute for z in equation (4)
-x + 2 = 6
-x = 4 so x = -4.
Now find y by substituting in equation (1):
4(-4) + 2y + 5(2) = 8
2y = 8 + 16 - 10 = 14
y = 7.
So we have two shapes that are exactly the same. All their sides are of equal length. The combined perimeter is 80 cm. Since they're identical, we can safely say that the perimeter of EACH figure is 40 cm. Let's work from that. Remember, the perimeter is the length of all the sides of a figure added together.
What's the first shape that comes into your mind when you think of "equal length sides"? Probably a square: a four-sided shape where all the sides are the same length. If this were a square, and its perimeter is 40 cm, then the length of each side is 1/4 of 40 cm, right? (Because there are 4 sides, and the perimeter is the length of all the sides combined.) This would make the length of each side 10 cm.
Let's check. If each side is 10 cm, and all 4 sides of the square are equal (which they are), the perimeter of each square is 40 cm. The combined perimeter is 40+40=80 cm. This works!
Answer: The figures are squares; each side is 10 centimeters long.
