Let cost of 1 box of red pen = x
Let cost of 1 box of black pen = y
Gaga bought 5 red box and her sister 4 black box then total cost is given by
5x+4y
Given that total cost was $44
so equation will be 5x+4y=44...(i)
After exchange
Gaga= 4 red box + 1 Black box
Sister = 1 red box + 3 Black box
then cost for Gaga = 4x+1y
cost for sister = 1x+3y
Given that cost for both after exchange is same so we get
4x+1y = 1x+3y
or 4x-1x = 3y-1y
or 3x = 2y
or 3x/2=y ...(ii)
plug (ii) into (i)
5x+4y=44
5x+4(3x/2)=44
5x+12x/2=44
5x+6x=44
11x=44
x=4
Now plug value of x into (ii)
y=3x/2=3*4/2=12/2=6
Hence cost of 1 box of red pen = $4
And cost of 1 box of black pen = $6
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If you want to get solution without solving both equations then just graph both equations and find the intersection point.
You will see that graph intersect at (4,6) which gives x=4, y=6
Since a stick note i completely flat (paper) there isn't the 3rd dimension, height. So it cannot be measured with volume, but area. To find the area, multiple the leight by the width, to get the answer.
The quotient of expression is 
.
Given that,
Expression; 
We have to determine,
The quotient of expression?
According to the question,
To determine the quotient of expression following all the steps given below.
Simplify the expression,
Hence, The required quotient of expression is .
For more details refer to the link given below.
brainly.com/question/12895249
1/5(3x - 0.5) + 1/6= x/5 + 0.5
change decimals to fractions (0.5=1/2)
1/5(3x - 1/2) + 1/6= x/5 + 1/2
multiply 1/5 by each term in parentheses
(1/5*3x) + (1/5*-1/2) + 1/6= x/5 + 1/2
multiply within parentheses
3x/5 - 1/10 + 1/6= x/5 + 1/2
need a common denominator; all denominators go into 30
18x/30 - 3/30 + 5/30= 6x/30 + 15/30
combine like terms
18x/30 + 2/30= 6x/30 + 15/30
subtract 6x/30 from both sides
12x/30 + 2/30= 15/30
subtract 2/30 from both sides
12x/30= 13/30
multiply both sides by 30 to eliminate fractions
(12x/30)(30)= (13/30)(30)
12x= 13
divide both sides by 12
x= 13/12 or 1.083333
ANSWER: x= 13/12 or 1.083333
Hope this helps! :)
Answer:
A. y>x−9y is greater than x minus 9
