Answer:
Exact form: 5/2
Decimal form: 2.5
Mixed number form: 2 and 1/2
Step-by-step explanation:
when you divide a fraction you keep, change, flip
Equation: 5/8 ÷ 1/4
keep 5/8 the same
change the divide symbol into a multipulcation symbol
flip 1/4 the other way, so it's 4/1 (it's a whole number now)
then just multiply across
Equation now: 5/8 × 4/1
Answer:
See attachment for rectangle
Step-by-step explanation:
Given
Required
Draw the rectangle
First, we calculate the distance between A and B using distance formula;
So, we have:
The above represents the length of the triangle.
Next, calculate the width using:
Divide both sides by 2
This implies that, the width of the rectangle is 6 units.
We have:
Since A and B are at the upper left and right, then the ther two points are below.
6 units below each of the above point are:
=> 
=> 
Hence, the points of the rectangle are:
<em>See attachment for rectangle</em>
The least common multiple is 96
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
