Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
Answer:
88 cans were sold, the most important variable is how much you started with and how much you ended with
Step-by-step explanation:
88 cans were sold because 98-10=88, and the most important variable is how much you started and ended with because the question asks how much were sold and you can't know that without knowing the start amount and end amount which is the 2 variables I used to get 88 in the equation (98-10)
The Equation is 98-10=88
Answer:
the algebraic expression that represent the quotient of a number & thirty is 30 ÷ a
Step-by-step explanation:
The algebraic expression that represent the quotient of a number & thirty is shown below:
As we know that
Quotient means to divide
So here the quotient is 30
And the other number would be 30 ÷ a
Therefore the algebraic expression that represent the quotient of a number & thirty is 30 ÷ a
Answer:
x = ±4 (x = 4 and x = -4)
Step-by-step explanation:
4x²-16 = x²+32
3x²-16 = 32
3x² = 48
x² = 16
x = ±4
Therefore, x = 4 and x = -4
Ali's solution is incorrect.
Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Step-by-step explanation:
Ali simplifies the expression 9y+y to 9y2. We need to identify if Ali's solution is correct or incorrect.
Ali's solution is incorrect.
Reason:
We are given the expression: 9y+y
When we add two like terms ( terms having the same variable and exponent), we add the coefficients of both like terms.
In our case 9y+y = 10y
Whereas Ali has done multiplication of both terms and not addition.
In multiplication we add the exponents of the same variables i.e 9y+y = 9y^2
So, Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Keywords: Solving expressions
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