Answer:
Step-by-step explanation:
Answer:
cups
Step-by-step explanation:
Given: A baker is using a cookie that calls for 2
cups of flour to yield 36 cookies.
To find the number of flour will the baker need to make 90 cookies, we form a proportion.
Let's convert 2
to improper fraction.

Let "x" be the amount flour to make 90 cookies
<u>Amount of Flour</u> <u>Number of cookies</u>
36
x 90
Now form a proportion.

Now let's cross multiply, we get


Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get
x =
cups
So the baker needs
cups to make 90 cookies.
The solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
<h3>What are the solutions to the given equation?</h3>
Given the equation in question;
|3x-7| - 7 = x
First, add 7 to both sides.
|3x-7| - 7 + 7 = x + 7
|3x-7| = x + 7
Next, remove the absolute value term, this creates a ± on the right side of the question.
|3x-7| = x + 7
3x-7 = ±( x + 7 )
The complete solution is the result of both the negative and positive portions of the solution.
For the first solution, use the positive of ±.
3x-7 = ( x + 7 )
3x - 7 = x + 7
3x - x = 7 + 7
2x = 14
x - 14/2
x = 7
For the second solution, use the negative of ±.
3x-7 = -( x + 7 )
3x-7 = -x - 7
3x + x = -7 + 7
4x = 0
x = 0/4
x = 0
Therefore, the solutions to the given equation containing absolute value term |3x-7| - 7 = x are 0 and 7.
Learn to solve more equation involving absolute value term here: brainly.com/question/28635030
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Answer:
See attachment.
a) y = -x + 2
b) (2,1)
Step-by-step explanation:
Explained in the attachment.