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3 years ago

12. Which two numbers whose ratio is 3 to 2 have a sum of 35? PLEASE HELP ASAP!!

Mathematics

1 answer:

Brut [27]3 years ago

3 0

Answer:

14 and 21

Step-by-step explanation:

$You should solve the following linear equations : \\\frac{x}{y} = \frac{3}{2}\\ x+y=35$

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Jonathan needs to cover 3/4 miles. He already covered 1/6 mile. How

mrs_skeptik [129]

Answer:

3/4-1/6

=(9-2)/12

=7/12

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3 years ago

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Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

irakobra [83]

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Please help and get these points

Masja [62]

Answer:

y = 15x

Step-by-step explanation:

The biggest giveaway here is the other answers have<em> </em>+ a whole number at the end of the equation. We would see this + as a y-intercept on the graph.

Since our line had no y-intercept and starts from zero, y =15x can be used to represent the graph shown

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3 years ago

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What is the value of x?<br> Enter your answer in the box.<br> x =

olasank [31]

Answer:

x = 21

Step-by-step explanation:

The sum the the interior angles of a triangle is 180°.

We know that the three angles of the triangle is 100°, x° - 4, and 3x°.

The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:

100 + x - 4 + 3x = 180

(I got rid of the degree signs because they are not necessary when finding x.)

Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.

100 + x - 4 + 3x = 180

Subtract 100 from both sides to get rid of the 100 on the left side.

x - 4 + 3x = 180 - 100

Simplify.

x - 4 + 3x = 80

Add 4 from both sides to get rid of the -4 on the left side.

x + 3x = 80 + 4

Simplify and combine like terms.

4x = 84

Divide 4 from both sides to get rid of the coefficient of 4 on the left side.

x = 84/4

Simply.

x = 21

The value of x would be 21.

x = 21

I hope you find this helpful. :)

7 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