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2 years ago

The greater of two consecutive integers is seven less than one-third the smaller integer. Find the integers

Mathematics

1 answer:

ikadub [295]2 years ago

8 0

Answer:

Step-by-step explanation:consecutive integers are represented by x, x+1 , so for this problem the greater one is represented by x + 1.

Now you need to translate the problem. the greater is seven less than 1/3 the smaller

---> x + 1 = (1/3)*x - 7 ---> now solve for x (the smaller) and x+1 (the greater)

***hint: to get rid of fractions in an equation you can always multiply EVERYTHING by the denominator , 3 in this case

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3 years ago

A discount store takes 50% off of the retail price of a desk. For the store's holiday sale, it takes an additional 20% off of al

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We are given the retail price of desk as $320. The store takes 50% off of the retail price of desk, then its price would become half of the original.

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3 years ago

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Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

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$\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}$

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

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2 years ago

I need the answer ASAP plz help me

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Answer:

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Step-by-step explanation:

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3 years ago