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klio [65]
3 years ago
15

A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.

How many batches of granola bars did the factory make yesterday? Simplify your answer and write it as a proper fraction or as a whole or mixed number.
Mathematics
1 answer:
lord [1]3 years ago
7 0

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

\frac{1}{6}x=\frac{1}{2}

Multiplying both sides by 6

6*\frac{1}{6}x=\frac{1}{2}*6\\x=3

Hence,

The factory made 3 batches of granola bars.

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Which of the following is the solution set of x² + 8x + 12 = 0?
raketka [301]

Answer:

\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}

Step-by-step explanation:

Given:

x^{2} + 8x + 12 = 0

Solve for:

x

Solution:

Step 1: Select the formula to solve for x

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

      x^{2} + 8x + 12 = 0

<=>x^{2}  +  2x + 6x  + 12 = 0

<=>(x^{2} + 2x) + (6x + 12) = 0

<=>x(x + 2) + 6(x + 2) = 0

<=>(x + 2)(x + 6) = 0

<=> x = -2 or x = -6

Hope this helps!

:)

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