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quester [9]
3 years ago
5

Sergio thinks he will need 90 cups of fruit juice to make 210 cups of punch. Explain his method. How many cups of fruit juice wo

uld Sergio need to make 154 cups of punch? Explain your calculations.
Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

Answer:

66 cups of fruit juice will be required .

Step-by-step explanation:

According to the question ,

90 Cups of fruit juice is required for making of 210 cups of punch .

So,

For making of one cup of punch ,

\frac{90}{210} =  \frac{3}{7} cups of fruit juice will be required ,

Thus,

For making of 154 cups of punch ,

Total number of cups of fruit juice required will be \frac{3}{7}×154.

= 66 cups.

Thus a total of 66 cups of fruit juice will be required.

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person A buys 12 granola bars and 7 cups of yogurt for $15.50. person B buys six granola bars and 11 cups of yogurt for $11.50.
tino4ka555 [31]

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7 0
3 years ago
Which of the values shown are potential roots of f(x) = 3x3 – 13x2 – 3x + 45? Select all that apply.
galina1969 [7]

Answer:

All potential roots are 3,3 and -\frac{5}{3}.

Step-by-step explanation:

Potential roots of the polynomial is all possible roots of f(x).

f(x)=3x^3-13x^2-3x+45

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

p=All the positive/negative factors of 45

q=All the positive/negative factors of 3

p=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45

q=\pm 1,\pm 3

All possible roots

\frac{p}{q}=\pm 1,\pm 3,\pm 5\pm \pm 9,\pm 15\pm 45,\pm \frac{1}{3},\pm \frac{5}{3}

Now we check each rational root and see which are possible roots for given function.

f(1)= 3\times 1^3-13\times 1^2-3\times 1+45\Rightarrow 32\neq 0

f(-1)= 3\times (-1)^3-13\times (-1)^2-3\times (-1)+45\Rightarrow \neq 32

f(-3)= 3\times (-3)^3-13\times (-3)^2-3\times (-3)+45\Rightarrow \neq -144

f(3)= 3\times (3)^3-13\times (3)^2-3\times (3)+45\Rightarrow =0\\\\ \therefore x=3\text{ Potential roots of function}

Similarly, we will check for all value of p/q and we get

f(-5/3)=0

Thus, All potential roots are 3,3 and -\frac{5}{3}.


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Answer:

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Step-by-step explanation:

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