<span>1/10 milk goes into each cup because 1/5 x 2 is 2/10 and 2/10 divided by 2 is 1/10 and that is your answer....Hope this helps!!!</span>
Answer:
D) 3x^2 - 12
Step-by-step explanation:
Using PEMDAS;
There is no need to evaluate the part of the equation (x^2 - 8) because is no need to, as it is already in its simplest form.
We must evaluate the part of the equation continuing with, "- (-2x^2+4)," as it is not in its simplest form.
Evaluating "- (-2x^2+4)":
Step 1: Distributing the negative
Once distributing the negative symbol amongst the values within the parenthesis according to PEMDAS, we get "2x^2 - 4" as the product.
Step 2: Consider the rest of the equation to evaluate
Since the part of the equation is still in play here as it is a part of the original equation to be solved, we must evaluate it as a whole to get the final answer.
Thus,
x^2 -8 + 2x^2 - 4 = ___
*we can remove the parenthesis as it has no purpose, since it makes no difference.
Evaluating for the answer, we get,
x^2+2x^2 + (-8 - 4) = 3x^2 - 12
Hence, the answer is D) 3x^2 - 12.
Answer:
The equation that represents Karla's sentence is 4y = y + 15
Step-by-step explanation:
From the question,
Four times a number is equal to the number increased by 15. To write the equation that represents the sentence, we will have to use a variable to represent the unknown number.
Since we are asked to use y for the variable, that is, let the number be y
Then
The statement, "four times a number" will be
4×y = 4y
and this is equal to the number increased by 15,
The number increased by 15 means y + 15.
Hence, the equation becomes
4y = y + 15
This is the equation that represent Karla's sentence.
If desired,
The unknown number can be determined by solving for y in the equation
4y = y + 15
First, Collect like terms
4y - y = 15
3y = 15
Then, Divide both sides by 3
3y/3 = 15/3
y = 5
Hence, the variable (unknown number) is 5.
Answer:
C'(4,4)
Step-by-step explanation:
The dilation of quadrilateral ABCD over the origin by a scale factor of 2 has the rule
(x,y)→(2x,2y)
So,
- A(-3,-1)→A'(-6,-2)
- B(-1,1)→B'(-2,2)
- C(2,2)→C'(4,4)
- D(3,-2)→D'(6,-4)
Hence, the coordinates of the image point C' are (4,4) (see attached diagram for details)
Answer:
36 inch
Step-by-step explanation:
