3/6= 1/2 because 3 is the half of 6 and 1 is the half of 2
5/20= 1/4 because 1 x 5= 5 and 4 x 5= 20
9/27= 1/3 because 1 x 9 =9 and 3 x 9=27
1/2 is the simplest form already
12/36= 1/3 because 1 x 12= 12 and 3 x 12= 36
Answer:
The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
Step-by-step explanation:
Given
Rectangle Pyramid
Base Length = 3x + 1
Base Width = x
Height = 12
Volume = 96
Required
Dimension of the base of the pyramid
Given that the volume of the pyramid is ⅓ of the base area * the height.
This is represented mathematical as
Volume = ⅓ * base area * height.
Where
Base area = width * length
Base area = (3x + 1) * x
Base area = 3x² + x.
So,
Volume becomes
Volume = ⅓ * (3x² + x) * 12.
Volume = (3x² + x) * 4
Substitute 96 for volume
96 = (3x² + x) * 4
Divide both sides by 4
96/4 = (3x² + x) * 4/4
24 = 3x² + x
Subtract 24 fr both sides
24 - 24 = 3x² + x - 24
0 = 3x² + x - 24
3x² + x - 24 = 0
Expand
3x² + 9x - 8x - 24 = 0
Factorize
3x(x + 3) - 8(x + 3) = 0
(3x - 8)(x + 3) = 0
3x - 8 = 0 or x + 3 = 0
3x = 8 or x = -3
x = 8/3 or x = -3
Recall that
Length = 3x + 1
Width = x
For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.
Substitute x = 8/3
Length = 3x + 1
Length = 3(8/3) + 1
Length = 8 + 1
Length = 9
Width = x
Width = 8/3
Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3
Answer:
5 milk shakes
Step-by-step explanation:
From the above question, we know that for the recipe
1/3 cup of milk = 1 milk shake
15/8 cup of milk = y milk shakes
We cross Multiply
15/8 cup × 1 = 1/3cup × y
y = 15/8 cup × 1 /1/3cup
= 15/8 ÷ 1/3
= 15/8 × 3
= 45/8
= 5.625 of 5 5/8 cups of milk
Therefore, the maximum number of
milkshakes the server can make following the recipe porpotians is 5 milk shakes.
Answer:
476
Step-by-step explanation:
because there are 68calories per serving and there are 7 servings
