So you are going to multiply the fractions by 10,000 to find the amount of money used on that item.
1/2 x 10,000 = 5,000 - FOOD
1/4 x 10,000 = 2,500 - BEVERAGES
1/10 x 10,000 = 1,000 - DECORATIONS
5,000 + 2,500 + 1,000 = 8,500
10,000 - 8,500 = MONEY SPENT ON STAFFING
= 1,500
To show the sides are equal all you need to do is draw the given Pentagon.. When angles are similar so are their opposite sides so chose any equal angle and dash the side of the Pentagon that's on the other side of the angle (dash =congruence)
Feet and Inches, 54yds/3ft = 18ft x 12in= 216 inches
Answer:
x = 28
y = 21
The perimeter is of 224 cm.
Step-by-step explanation:
Finding x:
We look at the top, and the bottom of the figure.
The top measures 42 cm.
The bottom measures x.
Looking on the base of y, we can see that the top can be divided into a part which is x(same as the bottom), and another of 14, measuring 42. So
x + 14 = 42
x = 42 - 14
x = 28
Finding y:
Now we apply the same logic to find y.
We look at the left side, and the right side.
They should be equal.
The right side measures 70.
The left measures 49 + y. So
49 + y = 70
y = 70 - 49
y = 21.
Finding the perimeter:
It is the sum of all edges.
P = 42 + 70 + x + 49 + 14 + y
Since x = 28, y = 21
P = 42 + 70 + 28 + 49 + 14 + 21
P = 224
The perimeter is of 224 cm.
Answer:
(2x+3)(x - 1)
Step-by-step explanation:
Since there is no common number to factor by we must approach this problem differently:
Step 1:
Multiply leading coefficient (2) by the constant term (-3)
2 x -3 = -6
Step two:
Find two numbers that multiply to -6 but add to the middle coefficient (1).
You should find these numbers to be 3 and -2
Step 3:
Replace 1x in the equation with your found numbers
2x^2 - 2x + 3x - 3
Step 4:
Take out the greatest common factor from the first two numbers, and the last two numbers.
For 2x^2 - 2x the greatest common factor would be 2x
For 3x - 3 the greatest common factor would be 3.
Step 5:
Factor out the found common factors
2x(x-1) + 3(x-1)
The values inside the bracket should be the same.
Step 6:
Factor out (x-1)
(x - 1)(2x + 3)
Therefore the factored form is (2x + 3)(x - 1)
