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geniusboy [140]
2 years ago
7

An amount of $180 is shared among three people in the ratio x: y: z.

Mathematics
1 answer:
sammy [17]2 years ago
6 0

Answer:

$110 and $30

Step-by-step explanation:

To solve this, we need to know the total share which is,

4 + 11 + 3 = 18

Then, you need to know the fraction of the share over the total, such that

x = \frac{4}{18}

y =  \frac{11}{18}

z =  \frac{3}{18}

So if to find how much that'll be of the $180 for the largest and smallest share,

Largest:

\frac{11}{18}  \times 180 = 110

Smallest:

\frac{3}{18}  \times 180 = 30

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Five times ten minus three

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One leg of a right triangle is 1 cm less than twice the length of the other leg. The hypotenuse is 17 cm long. What are the leng
PSYCHO15rus [73]

Answer:

The length of shorter leg is 2.23 cm and the length of longer leg is 3.46 cm.

Step-by-step explanation:

The Pythagorean Theorem

If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

This relationship is represented by the formula:

                                                   a^2+b^2=c^2

Let <em>x</em> be length of shorter leg and 2x-1 be the length of longer leg.

By the Pythagorean Theorem,

x^2+(2x-1)^2=17

5x^2-4x+1=17\\\\5x^2-4x-16=0

Next, solve with the quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=5,\:b=-4,\:c=-16:\quad x_{1,\:2}=\frac{-\left(-4\right)\pm \sqrt{\left(-4\right)^2-4\cdot \:5\left(-16\right)}}{2\cdot \:5}

Because the length can't be negative

x=\frac{-\left(-4\right)+\sqrt{\left(-4\right)^2-4\cdot \:5\left(-16\right)}}{2\cdot \:5}= \frac{2\left(1+\sqrt{21}\right)}{5} \approx 2.23

The length of shorter leg is 2.23 cm and the length of longer leg is 2\left(2.23\right)-1=3.46 \:cm.

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chris purchased a used car for 19,700. the car dereciates exponentially by 10% per year.how much will the car be worthafter 6 ye
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V=19700
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You start a new job. After w weeks, you have (10w+120) dollars in your savings account and (45w+25) dollars in your checking acc
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add them together

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combine like terms

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A fruit salad recipe requires 4 cups of grapes per 8 servings. How many cups of grapes are required for 28 servings? A) 6 Cups B
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Answer:

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Step-by-step explanation:

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