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3 years ago

Simplify the fractions-a) 98/21b) 525/84

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

4 0

Hey there! I'll try to provide you with my best answer.

Answer:

a) 14/3

Both of them can be divided by 7

b) 25/4

Both of them can be divided by 21

Hope it helps! ^^

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Solve the system x-y=5 and 4x-5y+17

Goshia [24]

Answer:

Step-by-step explanation:

x = 3

7=2

3-2=5

slope is 4/5

8 0

3 years ago

For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.

babunello [35]

Answer:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

$\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy$

$\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)$

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

$\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy$

$\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy$

Therefore:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0

3 years ago

Calculate the fuel economy of your family or personal car in terms of gallons per mile and the total cost for one fill-up git hu

iren [92.7K]

Answer:

0.028 Gallons/mile

Step-by-step explanation:

1 Gallon = 3.78541 Litres

1 Mile = 1.60934 Km

Total Fuel Expenditure (Dec 2019) = PKR 7,000

Fuel cost / Litre = 114Litre/Km

Total Fuel consumption = (7000/114)

= 61.40 Litres or 16.22 Gallons

Total Distance Travelled in Dec 2019 = 921 Km or 572.28 miles

Fuel Economy = 16.22/572.28

= 0.028 Gallons/mile

One time tank fill up cost = PKR 1,500

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3 years ago

How are real numbers used to describe real-world situations?

Alinara [238K]

Real numbers are all the rational numbers such as -7 and 4/3 and all irrational numbers. Real numbers are used mainly in counting and are used in measurement which is always present in real-world situations. These numbers help us to quantify things around.

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3 years ago

Please select the word from the list that best fits the definition

Anon25 [30]

Point-source pollution, I took the test.

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4 years ago

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