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3 years ago

14

A person is canoeing on a river. Her overall speed is 3.4 mile(s) per hour up river and 5.6 mile(s) per hour down river. Find th

e speed of the river's current and the speed the person can paddle in still water.

1 answer:

PIT_PIT [208]3 years ago

5 0

Answer:

a) $v_{river} = 1.1\,mph$ , b) $v_{person} =4.5\,mph$

Step-by-step explanation:

Overall speeds up river and down river are modelled by following expressions:

Up River

$-3.4\,mph = v_{river} - v_{person}$

Down River

$5.6\,mph=v_{river} + v_{person}$

After some algebraic manipulations, speeds are found:

$v_{river} = 1.1\,mph$

$v_{person} =4.5\,mph$

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The real number −16 belongs to which sets of numbers?

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Answer:

Whole numbers

Step-by-step explanation:

Its not integers, Irrational numbers, or natural numbers. I can tell you what each one means to prove it.

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2 years ago

Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and

nekit [7.7K]

Answer:

$r = \$14.71$

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

$Overtime = 43 - 32$

$Overtime = 11$

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$Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate$

This gives:

$535.62 = 21 * r + 11 * 1.4r$

$535.62 = 21r + 15.4r$

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3 years ago

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

<em></em>

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

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<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

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3 years ago

Read 2 more answers

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago