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antoniya [11.8K]
4 years ago
10

A 12.5 oz box of cereal has a price of $2.07. What is the unit ratio of price to weight rounded to the nearest cent?

Mathematics
1 answer:
Tju [1.3M]4 years ago
8 0

Answer:

16 cents

Step-by-step explanation:

The answer is 16 cents because 207 cents divided by 12.5 oz equals 16 cents.

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3 0
4 years ago
Find the third term in the expansion of (a+b)^9 in the simplest form
forsale [732]

Answer:

The\ third\ term\ is\ \boxed{36a^7b^2}\\

Step-by-step explanation:

\left(\begin{array}{c}9\\ 1\end{array}\right)=\dfrac{9}{1} =9\\\\\left(\begin{array}{c}9\\ 2\end{array}\right)=\dfrac{9*8}{2*1} =36\\\\\\(a+b)^9=a^9+\left(\begin{array}{c}9\\ 1\end{array}\right)a^8b+\left(\begin{array}{c}9\\ 2\end{array}\right)a^7b^2+....+b^9\\\\\\The\ third\ term\ is\ \boxed{36a^7b^2}\\

6 0
3 years ago
A cookie factory uses 1/6 of a bag of flour in each batch of cookies. The factory uses 5/6 of a bag of flour yesterday. How many
aliina [53]


From the information given, each batch of cookies requires 1/6 of a bag of flour.

So how many batches can be gotten from 5/6 of the bag of flour?

We form an equation

1batch  = 1/6

x batches = 5/6

Where x is the number of batches from 5/6 bag of flour.

Cross multiplying this equation we get:

x * 1/6 = 1 * 5/6

simplify it:

x * 0.16 = 1 * 0.83

x = 1 * 0.83 / 0.16

x = 0.83 / 0.16

x =  5.2

Therefore  factory made approximately 5 batches of cookies yesterday.

7 0
3 years ago
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Leto [7]

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7 0
3 years ago
If sin(x) = 0.28, what is cos(90° - x)
vlabodo [156]
\bf \textit{Cofunction Identities}
\\\\
sin\left(\frac{\pi}{2}-\theta\right)=cos(\theta)
\qquad 
cos\left(\frac{\pi}{2}-\theta\right)=sin(\theta)
\\\\\\
tan\left(\frac{\pi}{2}-\theta\right)=cot(\theta)\qquad 
cot\left(\frac{\pi}{2}-\theta\right)=tan(\theta)
\\\\\\
sec\left(\frac{\pi}{2}-\theta\right)=csc(\theta)\qquad 
csc\left(\frac{\pi}{2}-\theta\right)=sec(\theta)

therefore, sin(x) = cos(90° - x).
5 0
4 years ago
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