A natural number is a positive integer, example, 1,2,5,299 etc.
A rational number is a number that can be expressed as a fraction of integers, such as 245/127, 1/2, 5/1,8/1,...
Since a natural number can be expressed as a fraction of integers, so
a natural number IS a rational number.
Answer:
2.80
Step-by-step explanation:
Take the cost and divide by the number of padlocks
25.20/9
2.80
Each padlock costs 2.80
Answer: 7 students
Step-by-step explanation:
From the question, we are informed that there a camp is divided into2 groups and that there are 14 kids in Camp A and 21 kids in Camp B.
If the camps are divided into groups of equal size, there will be 7 students in a group. This will be gotten from :
Camp A = 14/2 = 7 students
Camp B = 21/3 = 7 students
Answer:
11. 78
12. 4x² - 3x - 1
Step-by-step explanation:
11. Sum of n whole numbers = ½(n² + n)
Multiply
½*n² + ½*n
= n²/2 + n/2
To find the sum of the first 12 whole number, substitute 12 for n into the equation.
= 12²/2 + 12/2
= 144/2 + 12/2
= 72 + 6
= 78
12. Area of trapezoid = ½(a + b)*h
Where,
a = 5x - 4
b = 3x + 2
h = x + 1
Area = ½(5x - 4 + 3x + 2)*(x + 1)
Area = ½(8x - 2)*(x + 1)
Area = ½[8x(x + 1) -2(x + 1)]
= ½[8x² + 8x - 2x - 2]
Add like terms
= ½(8x² - 6x - 2)
= ½(8x²) - ½(6x) - ½(2)
= 4x² - 3x - 1
Answer:
y = 2x + 1
Step-by-step explanation:
Given a point and the slope, we can plug in these values into the equation to find the value of b:
y = mx + b
3 = 2(1) + b
3 = 2 + b
1 = b
Plug b into the equation:
y = 2x + 1
