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larisa86 [58]
3 years ago
10

If each dozen cookies needs 3/4 of a bag of flour to make how many bags of flour does Grandma need to buy if she's making 10 doz

en cookies
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

Step-by-step explanation:

3/4 cups → 1 batch

x cups    → 2 batches

 

x = 2(3/4) = 6/4 = 1 1/2 cups

 

3/4 cups → 1 batch

y cups → 9 batches

y = 9(3/4) = 6 3/4 cups

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Divide 40x/64y by 5x/8y.
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<u>Answer:</u>

The correct answer option is C. 1.

<u>Step-by-step explanation:</u>

We are to divide \frac { 4 0 x } { 6 4 y } by \frac { 5 x } { 8 y }.

Rewriting them as a fraction in whole:

\frac { \frac { 4 0 x } { 6 4 y } } {\frac { 5 x } { 8 y } }

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A spinner has 5 equal sections labeled 1 through 5. The bar graph shows the results of spinning the spinner 100 times. Which sta
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) f) 1 + cot²a = cosec²a​
notsponge [240]

Answer:

It is an identity, proved below.

Step-by-step explanation:

I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.

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\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}

Therefore:

\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}

Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.

\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}

Another identity:

\displaystyle \large{\sin^2x+\cos^2x=1}

Therefore:

\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}

Hence proved, this is proof by using identity helping to find the specific identity.

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