Simplifying
5x(4y + 3x) = 5x(3x + 4y)
Reorder the terms:
5x(3x + 4y) = 5x(3x + 4y)
(3x * 5x + 4y * 5x) = 5x(3x + 4y)
Reorder the terms:
(20xy + 15x2) = 5x(3x + 4y)
(20xy + 15x2) = 5x(3x + 4y)
20xy + 15x2 = (3x * 5x + 4y * 5x)
Reorder the terms:
20xy + 15x2 = (20xy + 15x2)
20xy + 15x2 = (20xy + 15x2)
Add '-20xy' to each side of the equation.
20xy + -20xy + 15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
0 + 15x2 = 20xy + -20xy + 15x2
15x2 = 20xy + -20xy + 15x2
Combine like terms: 20xy + -20xy = 0
15x2 = 0 + 15x2
15x2 = 15x2
Add '-15x2' to each side of the equation.
15x2 + -15x2 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Assuming no border or waste, 9m by 16 m translates to 29.52' x 52.49'.
use 32/8=4 sheets of plywood to cover the width on the 8' side.
For the length, use 52/4=13 pieces on the 4' side.
This gives a total of 4*13=52 sheets.
The extra 0.49' x 29.52 can be covered using the extra from the last four sheets for the width.
Check:
Area to be covered: 29.52*52.49=1550 sq. ft.
Area of plywood supplied = 52*4'x8'= 1664 sq. ft, > 1550 sq.ft.
Both drove the same distance because you can draw a picture and you see its equal
Answer:
9,127
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
LCM of 12 and 15
<em><u>First Method: Listing the multiples</u></em>
First, write the common multiples of all three numbers.
Common Multiples of 12: 12,24,36,48,60,72,….
Common Multiples of 15: 15, 30, 45, 60, 75,…
Hence, the Least common multiple of 12 and 15 is 60.
<em><u>Second method: By prime factorisation</u></em>
Let us write the prime factors of the two numbers individually.
12 = 2 x 2 x 3
15= 3 x 5
Multiply each factor the maximum number of times it occurs in either number
= 2 X 2 X 3 X 5
= 60
LCM of 12 and 15= 60
Answer
LCM of 12 and 15= 60
Hope this helps :)
