Answer:
The factory made 3 batches of granola bars.
Step-by-step explanation:
Given that:
1/6 barrel of raisins is used in each batch of granola bars.
1/6 barrel = 1 batch
1/2 barrel = x batches
As the relationship is proportional,
1/6 : 1 :: 1/2 : x
Product of mean = Product of extreme
Multiplying both sides by 6
Hence,
The factory made 3 batches of granola bars.
The common factors of 24 and 48 are 1, 2, 3, 4, 6, 8, 12, and 24.
Factors are the numbers that can be multiplied with another number, to equal the product stated. Common factors are the factors that both stated products have.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, and 24.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Finding all the shared factors, will give you a final answer of 1, 2, 3, 4, 6, 8, 12, and 24.
I hope this helps!
Step-by-step explanation:
Let us consider the length of a line segment to be 'x'
Let the other line segment be 'y'
One line segment is 12 less than twice the length of other segment.
X = 2y - 12
The sum of both the lengths = 69cm
X + Y = 69
X = 69 - Y
Substitute the X value in the first equation
X = 2y - 12
69 - Y = 2Y - 12
- Y - 2Y = -12 -69
- 3Y = - 81
3Y = 81
Y = 81/3
Y = 27 CM
Length of One of the line segment is 27cm
The length of the other line segment 'x'
is
X= 2y - 12
X = 2(27) - 12
X = 54 - 12
X = 42cm
The length of the line segments are 42cm and 27cm.
