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spin [16.1K]
3 years ago
6

Jen is making a receipt for pancakes.A receipe calls for 4/10 kilogram flour and 12/100 sugar.<br /> if Jen measures corre

ctly and combines the two amounts,how much flour and sugar will she have?
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0
If you take the numerator and the denominator from flour and multiply both by 10, you'll get 40/100. then, add 40/100 to 12/100. your answer should be 52/100. if not, look back through your math. hope that helped.
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Can someone please write this as a single logarithm and show work please and thank you
Mazyrski [523]

Answer:  

log_b(w^3y^4)

Step-by-step explanation:

To write the expression as a single logarithm, or condense it, use the properties of logarithms.  

1) The power property of logarithms states that log_ax^r = rlog_ax. In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.  

So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:

3log_bw+4log_by\\=log_bw^3+log_by^4

2) The product property of logarithms states that log_axy = log_ax+log_ay. In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of w^3 and y^4. Apply the property as seen below and find the final answer.  

log_bw^3+log_by^4\\=log_b(w^3y^4)

So, the answer is log_b(w^3y^4).

4 0
3 years ago
3
Irina18 [472]

Answer:

I can't understand your question. what is the meaning of these 3, 4 ,16 in your question

3 0
3 years ago
Answer with the explanation step by step
andrey2020 [161]

Answer:

The answer is A. \frac{3(x-21)}{(x+7)(x-7)}.

Step-by-step explanation:

To find the difference of this problem, start by simplifying the denominator, which will look like \frac{3}{x+7}-\frac{42}{(x+7)(x-7)}. Next, multiply \frac{3}{x+7} by \frac{x-7}{x-7}  to create a fraction with a common denominator in order to subtract from \frac{42}{(x+7)(x-7)}. The problem will now look like \frac{3}{x+7}*\frac{x-7}{x-7}-\frac{42}{(x+7)(x-7)}.  

Then, simplify the terms in the problem by first multiplying \frac{3}{x+7} and \frac{x-7}{x-7}, which will look like \frac{3(x-7)}{(x+7)(x-7)}-\frac{42}{(x+7)(x-7)}. The next step is to combine the numerators over the common denominator, which will look like \frac{3(x-7)-42}{(x+7)(x-7)}.

Next, simplify the numerator, and to simplify the numerator start by factoring 3 out of 3(x-7)-42, which will look like \frac{3(x-7-14)}{(x+7)(x-7)}. Then, subtract 14 from -7, which will look like \frac{3(x-21)}{(x+7)(x-7)}. The final answer will be \frac{3(x-21)}{(x+7)(x-7)}.    

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