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uranmaximum [27]
2 years ago
9

Share 747 pounds in the ratio 2:7 between tom and ben

Mathematics
2 answers:
Ann [662]2 years ago
8 0

If you want to share 747 pounds between Tom and Ben in ratio 2:7, then you should divide 747 by 2+7=9 in order to determine how many pounds will one part of 9 parts.

747:9=83.

Then Tom should get 2 such parts, that is 83·2=166 pounds and Ben should get 7 such parts, that is 83·7=581 pounds.

Answer: you should give 166 pounds to Tom and 581 pounds to Ben.

svlad2 [7]2 years ago
6 0
2x+7x=747
9x=747
x=83

83(2) = 166
83(7) = 581
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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

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possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


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2 years ago
How many liters of wine can be held in a wine barrel whose capacity is 28.0 gal? 1 gal = 4 qt = 3.7854 l?
wel

Answer:

105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

Let x be the liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

Given that:

1 gal = 3.7854 l

then

by definition of proportions;

\frac{1}{3.7854} =\frac{28}{x}

By cross multiply we get;

x = 28 \times 3.7854 = 105.9912 liters

Therefore, 105.9912 liters of wine can be held in a wine barrel whose capacity is 28.0 gal.

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