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
Hello! :)
Answer:
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An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.
The <em>correct answer</em> is:
To draw arcs of a given size.
Explanation:
A compass is a tool used to draw a circle. Since an arc is a part of a circle, the most direct use of a compass would be to draw arcs of a given size.
Answer: 6
Step-by-step explanation:
I did it with LCM
-12(x-2) + (24x) = 4x(x-2)
using the quadratic formula, u get 6 and -1
Answer:
£450
Step-by-step explanation:
using the formula C = 12×m.p + d
£8000 = 12m.p + £2600
collecting like terms, £8000 - £2600 = 12m.p
£5400 = 12m.p
dividing by coefficient of m.p,
£5400/12 = 12m.p/12
when you divide,
£450 = m.p
hence, m.p = £450