Answer:
120 pieces with a bit left over
Step-by-step explanation:
Recall that 1 yard = 36 inches. Thus, a 22-inch piece of ribbon has length
L = (22 inches) / (36 inches / yd) = 11/18 yd.
We must now find out how many 22-inch, or 11/18-yard, pieces can be cut from each 25-yd piece. Divide 25 yd by (11/18 yd/piece), obtaining:
25 yd 18 pieces
--------- * ----------------- = 40.91 pieces.
1 11 yd
Since we're interested in only whole pieces of length 11/18 yd, this produces 40 pieces with 0.91 piece left over.
Cutting up the three 25-yd pieces will then result in 3(40 pieces), or 120, pieces of length 11/18 yd.
Answer:
The two intersections would be (3, 10) and (-2, 0)
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and solve for x.
2x + 4 = x^2 + x - 2
2x = x^2 + x - 6
0 = x^2 - x - 6
0 = (x - 3)(x + 2)
Now set the parenthesis equal to zero to get the x values.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
Now we know the x values of each interception. We can find the y values by plugging into either equation.
y = 2x + 4
y = 2(3) + 4
y = 6 + 4
y = 10
y = 2x + 4
y = 2(-2) + 4
y = -4 + 4
y = 0
Answer:
6x+12
Step-by-step explanation:
5 + 2x + 7 + 4x
2x + 4x = 6x
5 + 7 = 12
6x + 12
Multiply the volume by 3. For example, suppose the volume of the sphere is 100 cubic units. Multiplying that amount by 3 equals 300.
Divide this figure by 4π. In this example, dividing 300 by 4π gives a quotient of 23.873.
Calculate the cube root of that number. For this example, the cube root of 23.873 equals 2.879. The radius is 2.879 units.
Answer:
- Set is a collection of specified object.
- The types of set are Finite Set. A set which contains a definite number of elements is called a finite set. ...
Infinite Set. A set which contains infinite number of elements is called an infinite set. ...
Subset. ...
Proper Subset. ...
Universal Set. ...
Empty Set or Null Set. ...
Singleton Set or Unit Set. ...
Equal Set.
- The operation used on sets are. 1 Intersection 2.Union 3.Difference 4.Compelement
