Answer:
Red balls = 84 Blue balls = 140
Step-by-step explanation:
Ok so there are 225 marbles
And ratio here is Red : Blue = 3 : 5
So Red marbles = 3x whereas Blue marbles = 5x
Therefore,
3x + 5x = 225
8x = 225
x = 28.125 = 28
<u>Red balls = 28*3 = 84 Blue balls = 28*5 = 140</u>
(Pls check whether total no of balls is 224)
Answer:
D) Multiplication property of equality; Commutative property of addition
It is true that if two variables are directly proportional then their graph is a linear function.
<h3>How to determine the true statement?</h3>
The highlights in the statement are given as:
- Two variables
- Direct proportion
- Linear function
The equation of a directly proportional graph is represented as:
y = kx
Where k represents the constant of variation
The equation y = kx is a linear function and k is the slope
Hence, it is true that if two variables are directly proportional then their graph is a linear function.
Read more about variation at:
brainly.com/question/6499629
#SPJ1
Answer:
Rs. 3,14,532
Step-by-step explanation:
(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)