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Vlad [161]
3 years ago
12

A recipe uses 6 cups of cheese to serve 30 people. How much cheese is needed for 50 people

Mathematics
1 answer:
yanalaym [24]3 years ago
7 0
\bf \begin{array}{ccll}
\stackrel{cheese}{cups}&people\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6&30\\
c&50
\end{array}\implies \cfrac{6}{c}=\cfrac{30}{50}\implies \cfrac{6\cdot 50}{30}=c
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Nancy has a 3.5-pound bag of birdseed. She uses 3/4 of the bag to fill a bird feeder in her garden. Then, she puts 0.25 pounds i
AnnyKZ [126]

Answer:

0.625lb bag of bird seeds

Step-by-step explanation:

She starts with a 3.5 lb bag,

Then she uses 3/4 of the bag, so find the remaining amount in the bag, which would be 1/4 of the original weight;

1/4 * 3.5

= 1/4 * 7/2

= 7/8

Then she removes 0.25 lbs of weight, hence take away 0.25 (the amount removed) from 7/8 (the current weight of the bag).

7/8 - 0.25

= 7/8 - 1/4

= 7/8 - 2/8

= 5/8

So she has a 5/8lb bag of bird seeds or a 0.625lb bag.

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3 years ago
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timurjin [86]

Yes your answer is correct... Because as per the question the equation formed should be y = 5(3)^x.

4 0
2 years ago
B2-4b+4=0 using quadratic forumla
Ivan

Trying to factor by splitting the middle term   

Factoring <span> b2-4b+4</span> 
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span>  1 • 4 = 4</span> 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is  <span> -4 </span>.
<span><span>     </span></span>

<span><span>-4   +   -1   =   -5</span><span>     -2   +   -2   =   -4   That's it</span></span>


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  -2 
                     <span>b2 - 2b</span> - 2b - 4

Step-4 : Add up the first 2 terms, pulling out like factors :
                    b • (b-2)
              Add up the last 2 terms, pulling out common factors :
                    2 • (b-2)
Step-5 : Add up the four terms of step 4 :
                    (b-2)  •  (b-2)
             Which is the desired factorization

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