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madreJ [45]
3 years ago
7

Divide 169 mi in the ratio 5 : 8.

Mathematics
2 answers:
STatiana [176]3 years ago
8 0
5:8    5+8=13

169/13=13

5*13:8*13
   65:104 
puteri [66]3 years ago
4 0
5 + 8 = 13

169/13 = 13

13 * 5 = 65

13 * 8 = 104

Thus, 65:104
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Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 rep
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A rectangle has a length of 42 inches and a width of 14 inches. Which of the following is not equal to the ratio of the rectangl
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3 years ago
A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
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Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for x days.

So, for x days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = \frac{360}{x}

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = (x+4) days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= (\frac{360}{x}-3)

Total expense in dollars can now be given as:  (x+4)(\frac{360}{x}-3)

Simplifying by using distribution (FOIL).

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360-3x+\frac{1440}{x}-12

348-3x+\frac{1440}{x}

We know total expense remains the same which is = $360.

So, we have the equation as:

348-3x+\frac{1440}{x}=360

Multiplying each term with x to remove fractions.

348x-3x^2+1440=360x

Subtracting 348x both sides

348x-348x-3x^2+1440=360x-348x

-3x^2+1440=12x

Dividing each term with -3.

\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}

x^2-480=-4x

Adding 4x both sides.

x^2+4x-480=-4x+4x

x^2+4x-480=0

Solving using quadratic formula.

For a quadratic equation: ax^2+bx+c=0

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plugging in values from the equation we got.

x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}

x=\frac{-4\pm\sqrt{16+1920}}{2}

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x=\frac{-4+44}{2}   and x=\frac{-4-44}{2}

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Since number of days cannot be negative, so we take x=20 as the solution for the equation.

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Answer:

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