1/52 because there is only one 7 of hearts in the 52 cards.
Since there are 675 students in a school and the canteen is giving 100 free apples to all the students, therefore, one student will receive less than one apple.
One student will receive
part of an apple.
This information can be further interpreted as a percentage by doing the following calculation:

Thus, we can say that one student receives 14.81% of an apple. (Note that 100% represents one full apple).
Answer:





Step-by-step explanation:
Solving (1):


Required
Calculate Area




Solving (2):
Given

Required: Calculate Area




Solving (3):


Required: Calculate Length



Factorize the numerator



Divide by x + 3

Solving (4):


Required: Determine the average speed
This is calculated as:


Factorize the numerator


Solving (5):
Multiply
by sum of
and 
First, calculate the sum:



Then, the product


Answer:
x = -1/8
Step-by-step explanation:
to determine the value of x in the expression-6=3/4x
first, cross multiply inorder to have a straight line equation ,then combine the like terms together and evaluate.
solution
-6=3/4x
using cross multiplication techique
4x × -6 = 3
-24x = 3
divide both sides by the coefficient of x which is -24
-24x/-24 = 3 /-24
x = -1/8
Answer:
<em>1) y = (x-3)²-12</em>
<em>2) y = 5(x-2)²-9 </em>
Step-by-step explanation:
Given the quadratic expressions
y=x²-6x-3
We are to transform it in the form y=ax²+bx+c
y=(x²-6x)-3
Complete the square of the expression in parenthesis
y = (x²-6x + (6/2)² - (6/2)²)-3
y = (x²-6x+3²-3²)-3
y = (x²-6x+9-9)-3
y = (x²-6x+9)-12
y = (x²-3x-3x+9)-12
y = x(x-3)-3(x-3)-12
y = (x-3)(x-3)-12
y = (x-3)²-12
Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12
For the quadratic equation
y=(5x²-20x)-5
y = 5(x²-4x)- 5
Complete the square of the expression in parenthesis
y = 5(x²-4x+4-4)- 5
y = 5(x²-4x+4)-9
y = 5(x-2)²-9
<em>Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9</em>