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Ugo [173]
2 years ago
15

1. Trevor saves 2/3 of the money he earns at his

Mathematics
1 answer:
AveGali [126]2 years ago
4 0

Trevor will be saving less amount

<u>Step-by-step explanation:</u>

To know whether he will save less, more or the same amount, we need to find \frac{1}{4} \times \frac{2}{3} and then compare with \frac{2}{3}

Now, combine the fractions using the rule:

              \frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}

              \frac{1}{4} \times \frac{2}{3}=\frac{1 \times 2}{4 \times 3}=\frac{2}{12}=\frac{1}{6}

\frac{1}{4} \times \frac{2}{3} is less than the fraction \frac{1}{4}. Hence, concluding that Trevor will be saving less than \frac{2}{3} amount.

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Which binomial is a factor of 49x2 + 84 xy + 36y2?
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Answer:

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

Step-by-step explanation:

Given expression is 49x^2+84xy+36y^2

To find the binomial factor :

49x^2+84xy+36y^2

Rewritting the above expression as

=7^2x^2+2(7)(6)xy+6^2y^2

=(7x)^2+2(7x)(6y)+(6y)^2

=(7x+6y)^2 ( using the formula =(a+b)^2=a^2+2ab+b^2 here a=7x and y=6y )

=(7x+6y)(7x+6y) ( using the formula =(a+b)^2=(a+b)(a+b) )

Therefore  49x^2+84xy+36y^2=(7x+6y)(7x+6y)

(7x+6y) is a binomial factor of the given expression  49x^2+84xy+36y^2

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