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scoundrel [369]
4 years ago
12

A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week. He

has devised an equation to solve for which day (x) the iguana would be able to eat the entire population. The equation is 3x = 2x + 1. Explain to the biologist how he can solve this on a graph using a system of equations.
Mathematics
1 answer:
konstantin123 [22]4 years ago
6 0

3x=2x+1 Subtract 2x on both sides.

3x-2x=1  3x minus 2x equals x.

x=1         You have your answer x=1.

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Suppose you are driving to visit a friend in another state. you are driving 55 miles per hour. you must drive 440 miles total. i
Oliga [24]
Time=(distance)/(speed)
speed=55 mi/hr
Total distance=440 miles
Distance covered=275 miles
remaining distance=440-275=165 miles
Time taken to cover the remaining distance will be:
time=165/55=3 hours

Total time taken to travel=440/55=8 hours
if we are to use the equation given by:
55h+275=440
time taken will be found by solving for h, thus we shall have:
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55h=165
h=165/55
h=3 hours

Answer: 3 hours

7 0
3 years ago
Can you write the equation for a circle if the given point does not lie on the circle? Explain .
Pachacha [2.7K]

Answer:

No

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r is given as:

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

If a given point (x,y) does not lie on this circle, it will not satisfy its equation.

This means the distance from the point to the center is not equal to the radius.

It is either less or greater than the radius.

Hence you cannot write the equation of the circle.

3 0
3 years ago
What is the distance to the earth’s horizon from point P?<br><br> Express your answer as a decimal
rewona [7]

Answer:

The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi

Step-by-step explanation:

This is a right triangle:

Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi

Leg 1: a=x=?

Leg 2: b=3959 mi

Using the Pytagorean theorem:

a^2+b^2=c^2

Replacing the known values:

(x)^2+(3959 mi)^2=(3964.9 mi)^2

Solving for x: Squaring:

x^2+15,673,681 mi^2=15,720,432.01 mi^2

Subtracting 15,673,681 mi^2 both sides of the equation:

x^2+15,673,681 mi^2-15,673,681 mi^2=15,720,432.01 mi^2-15,673,681 mi^2

x^2=46,751.01 mi^2

Square root both sides of the equation:

sqrt(x^2)=sqrt(46,751.01 mi^2)

x=216.2198187 mi

x=216.22 mi

3 0
3 years ago
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timurjin [86]
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Answer:

D, John did not make a mistake!

Step-by-step explanation:

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