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pogonyaev
3 years ago
9

Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, and 6 1/3 cups of strawberry lemonade to make some punch. What

is the total number of cups of punch that peter makes?
Mathematics
2 answers:
ella [17]3 years ago
3 0
Just add them all:(FYI, I first converted all the mixed fraction to improper)
11/3+19/3= 30/3+9/2
Now take out the LCM,
60/6+27/6= 87/6
Hence, the total number of cups that peter makes is 87/6

fredd [130]3 years ago
3 0

Answer:

12\frac{1}{6} cups of punch

Step-by-step explanation:

Peter is making a punch. He mixes :

Orange juice  =  4\frac{1}{2} cups

Ginger ale   =    1\frac{1}{3}

Strawberry lemonade =  6\frac{1}{3}

Now we will add all the mixes

4\frac{1}{2} +  1\frac{1}{3} +  6\frac{1}{3}

Now first we convert all the mixed fractions to improper.

\frac{9}{2}+ \frac{4}{3}+ \frac{19}{3}

Now take LCM of 2,3,3 = 6

= \frac{27+8+38}{6}

= \frac{73}{6} =  12\frac{1}{6}

The total number of cups of puch that peter makes is  12\frac{1}{6}

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professor190 [17]
(x^{2} + 1)^{ \frac{1}{2}} + 2((x^{2} + 1)^{ -\frac{1}{2}}) \\\\ Take \ out \ (x^{2} + 1)^{ \frac{1}{2}} \ like \ so: \\\\ (x^{2} + 1)^{ \frac{1}{2}}(1 + 2(x^{2} + 1)^{ -1}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(1 + \frac{2}{(x^{2} \ + \ 1)}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(\frac{2 \ + \ (x^{2} \ + \ 1)}{(x^{2} \ + \ 1)}) \\\\ = (x^{2} + 1)^{ \frac{1}{2}}(\frac{(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)}) \\\\ = \frac{(x^{2} \ + \ 1)^{ \frac{1}{2}}(x^{2} \ + \ 3)}{(x^{2} \ + \ 1)} \\\\
This is what I would think to do with such an expression;
It should be alright to leave it as it is on the last line as this should be its simplest form;
But, you could write it out as:
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5 0
3 years ago
Classify each polynomial by degree and number of terms (lesson 17.1) z^2-12
zalisa [80]

Answer:

The degree is "2" and the number of term is "2(binomial)"

Step-by-step explanation:

Considering the expression z^2-12

Largest sum of any term is known as the degree.

Now simplify as follows,

z^2-12

So, the degree is 2 because the largest sum of power is known as degree

And the number of terms is two (2) it means it is binomial.

∵ The degree is "2" and the number of term is "2(binomial)"

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weqwewe [10]

Answer:

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Step-by-step explanation:

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4 0
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Triss [41]

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8 0
3 years ago
3(x+5) +2x=10x-5(x+1)
posledela

Answer:

no solution

Step-by-step explanation:

3(x+5) +2x=10x-5(x+1)

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Combine like terms

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