X = 10
The triangles are similar by SAS, so we can set up a proportion of their sides.
9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2
Reduce
3/8 = 12/3x+2
Cross multiply
3(3x+2) = 12*8
Distribute and multiply
9x + 6 = 96
Subtract 6
9x = 90
Divide by 9
x = 10
Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)
Answer:
2,500 German chocolate cake boxes.
1,500 Swiss chocolate cake boxes.
Step-by-step explanation:
Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:
Solving the linear system above:
2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.
Answer:
The solution is 8x2 + 16x + 8. The region can be divided into a triangle and a rectangle.
Area of Triangle=
1
2
(2x + 2)(2x)
Area of Triangle = 2x2 + 2x
Area of Rectangle: (2x + 2)(3x + 4)
Area of Rectangle: 6x2 + 14x + 8
Sum of Two Regions: 8x2 + 16x + 8
Step-by-step explanation:
The probability would be 12/16 or 75%.
Hope this helps!
The number will be itself when multiplied by 1.
The sum of twice and half the original number is 1, so the number is
2n +0.5n = 1
2.5n = 1
n = 1/2.5 = 0.4
The original number is 2/5.
