<h2><u>Answer:-</u></h2>
Amount of apple juice Will added 
<h3>• <u>Given</u><u>:</u><u>-</u></h3>
- Will puts 1/4 cup of grape juice in a cup.
- He added apple juice and then he had 1⅔ cup of juice in the cup.
<h3>• <u>T</u><u>o</u><u> </u><u>Find</u><u>:</u><u>-</u></h3>
- How much apple juice Will added to the cup?
<h3>• <u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u>:</u><u>-</u></h3>
➪ Amount of grape juice Will added = 1/4
➪ Amount of juice in total after adding the apple juice = 1⅔
Therefore, it is clear that the amount of apple juice Will added to the cup will be the difference in total amount of juice and amount of grape juice.
Hence,
➪ 
➪ 
• <u>Takin</u><u>g</u><u> </u><u>an</u><u> </u><u>L.CM</u><u>:</u><u>-</u>
➪ 
➪ 
➪ 
Therefore, the amount of apple juice added is 
Answer:
GPA ≈ 2.67
Step-by-step explanation:
Grade points are weighted by credit hours:
GPA = ∑(grade points×credit hours) / ∑(credit hours)
GPA = (3×2 +2×4 +4×3 +2×3)/(2 +4 +3 +3)
= (6 +8 +12 +6)/12 = 32/12 = 2 2/3
GPA ≈ 2.67
Answer:
Step-by-step explanation:
A) = (35,?)
B) = POSITIVE
C) = 601
Answer:

Step-by-step explanation:
step 1
Find the slope of segment HI
The formula to calculate the slope between two points is equal to

we have
H (-4,2), and I (2,4)
substitute the given points


simplify

step 2
Find the slope of the perpendicular line to segment HI
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

we have

so

step 3
Find the midpoint segment HI
we know that
The formula to calculate the midpoint between two points is equal to
we have
H (-4,2), and I (2,4)
substitute
step 4
we know that
The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI
Find the equation of the perpendicular bisector of HI in point slope form

we have

substitute

step 5
Convert to slope intercept form

Isolate the variable y



step 6
Convert to standard form

where
A is a positive integer
B and C are integers

Adds 3x both sides

see the attached figure to better understand the problem
Answer:

Step-by-step explanation:
Given expression is ,
This would be simplified using the law of exponents , some of which I will use here are ,
Using the above laws ,
Using the second law mentioned above , we have,
![\sf \longrightarrow \bigg[ \dfrac{1}{4}(x^{3+2})(y^{-5-6})(z^{8-3})\bigg]^{-2}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%5Cbigg%5B%20%5Cdfrac%7B1%7D%7B4%7D%28x%5E%7B3%2B2%7D%29%28y%5E%7B-5-6%7D%29%28z%5E%7B8-3%7D%29%5Cbigg%5D%5E%7B-2%7D%20)
Simplify ,
![\sf \longrightarrow \bigg[\dfrac{1}{4} x^5y^{-11}z^5\bigg]^{-2}](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%5Cbigg%5B%5Cdfrac%7B1%7D%7B4%7D%20x%5E5y%5E%7B-11%7Dz%5E5%5Cbigg%5D%5E%7B-2%7D%20)
Using the first law mentioned above , we have,
![\sf \longrightarrow \bigg[ \dfrac{1}{4^{-2}} x^{5(-2)} y^{-11(-2)} z^{5(-2)}\bigg]](https://tex.z-dn.net/?f=%5Csf%20%5Clongrightarrow%20%5Cbigg%5B%20%5Cdfrac%7B1%7D%7B4%5E%7B-2%7D%7D%20x%5E%7B5%28-2%29%7D%20y%5E%7B-11%28-2%29%7D%20z%5E%7B5%28-2%29%7D%5Cbigg%5D%20)
Simplify,

Finally using the fourth law mentioned above , we have ,

<h3>
Option K is the correct answer.</h3>