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goldenfox [79]
2 years ago
13

There are about 1.61 kilometers in 1 mile. Let LaTeX: xx represent a distance measured in kilometers and LaTeX: yy represent the

same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.
Mathematics
1 answer:
expeople1 [14]2 years ago
6 0

Answer:

1.61 x km= y miles  

x km= y/ 1.61 miles

Step-by-step explanation:

Let x represent the distance in Kilometers  and y represent the distance in miles then

1.61 x km= y miles

Now if we have 5 miles then

1.61(5) km = 5miles

8.05 km = 5 miles

Similarly if we want to express 1 km in miles the equation would be

x km= y/ 1.61 miles

So for 5 km the miles would be

5 km = 5/1.61 miles

5 km = 3.1055 miles

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the speed of two insects equal the same speed when rounded to the nearest whole number; dragonfly:6.974 ;horsefly:3.934 ;bumbleb
Goryan [66]
Am presuming you are looking for the two insects.

In rounding up to nearest whole number, you look at the number before the decimal point, if the number after that is 5 or more, you add up one extra to the digit before the decimal point.

When you round up bumblebee 2.861 to the nearest whole number you have 3.

When you round up honeybee 2.548 to the nearest whole number you have 3.

The two insects are bumblebee and honeybee.

No other two are equal when rounded up to the nearest whole number.
8 0
2 years ago
Read 2 more answers
George took a nonstop flight from Dallas to
In-s [12.5K]

It is given in the question that,

George took a nonstop flight from Dallas to Los Angeles, a total flight distance of 1,233 miles. The plane flew at a speed of 460 miles per hour for the first 75 minutes of the flight and at a speed of 439 miles per hour for the remainder of the flight.

Let for x hours, the flight travelled with a speed of 439 miles per hour .

So we have,

460* \frac{75}{60} + 439*x = 1233

575 + 439x =1233
\\
439x = 1233 - 575
\\
439x = 658
\\
x = \frac{658}{439} hours

And to convert it in minutes, we have to multiply by 60. And on doing so, we will get

x = \frac{658}{439}*60 =approx \ 90  \ minutes

5 0
2 years ago
If the egress rate for a stadium is 5,500 fans per hour and it takes fans about one-third less time for fans to exit a game as i
Marina CMI [18]

Answer:

1833 fans per hour

Step-by-step explanation:

Ingress is entering and Egress is exiting.

Since exiting time is 1/3rd less than entering time, we have 5500 people exiting, so ingessing would be 1/3rd that.

Thus,

Ingress Rate = 5500/3 = 1833.33

Rounding to whole number, we have 1833 fans per hour

4 0
2 years ago
Read 2 more answers
The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)
Lemur [1.5K]

Answer:

Cardiac output:F=0.055 L\s

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output:F=\frac{A}{\int\limits^T_0 {c(t)} \, dt} ---1

A = 3 mg

\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt

Do, integration by parts

[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

Substitute the value in 1

Cardiac output:F=\frac{3}{54.49}

Cardiac output:F=0.055 L\s

Hence Cardiac output:F=0.055 L\s

4 0
1 year ago
Wayne Inc., a health insurance company, pays clerks an incentive based on the average amount of work completed per hour. Wayne p
yulyashka [42]

Answer: Straight piecework plan

Step-by-step explanation:

The Straight piecework plan is a type of incentive system in which the rate per unit output is constant and fixed at a specific value. And the total earnings of a worker is calculated by multiplying the value of its total output by the rate per unit output.

In the case above the rate per unit invoice processed is fixed, so employees are paid based on the number of invoice processed per hour which makes it a Straight piecework plan system.

5 0
1 year ago
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