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
Answer:
81
Step-by-step explanation:
Using PEMDAS/BODMAS, we will have to do the exponent first, which is 
.
Substitute the variable z with 6, since z = 6.
.
Thus, we will get
Solve the multiplication next.
Finally, add/subtract the numbers:
Answer:
x = -11
Step-by-step explanation:
Convert fraction into negative exponential form: 
Simplify using exponent power rule: 
Convert both sides of the equation into terms with same base:
Simplify using exponent power rule:
Based on the given conditions, corresponding exponents are equal:
Rearrange unknown terms to the left side of the equation:
Combine like terms: 
Calculate the sum or difference: 
Thurs, x = -11
[RevyBreeze]
Step-by-step explanation:
You start by asking yourself or as I call it crossmultiply
if 20 min the bucket is 1/8 full what about 8/8 or a whole
<u>2</u><u>0</u><u>×</u><u>8</u><u>/</u><u>8</u><u>×</u><u>1</u><u>/</u><u>8</u>
=160 min or 2.6 hrs
