Cam rode her bike 5 times as far as Dante did. Dante rode 187 meters farther than Michael did. Cam rode 15.25 Kilometers. How many meters did Michael ride? Explain how you know you got your answer

Answers

Answer 1
Answer: Let Dante's distant be x, Cam's will be 5x
Given that Cam rode 15.25 km
then
5x=15.25
x=3.05 km

thus Dante rod 3.05 km
but
1 km=1000m
thus
3.05 km=3050 m
But Dante rod 187 m more than Michael, the distance Michael will ride then  will be:
3050-187
=2863 m




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The side length of an equilateral triangle is 6 cm. What is the height of the triangle?

Answers

the way m comfortable solving this is using pythagorean therem.

the imaginery hight line you draw in the middle of the triangle should split the 6cm base in half to 3cm and the outside of the tryangle is 6cm.
pythagorian theorem formula states:
c^2 =a^2 +b^2

c=6cm
b = 3cm
a=?
6^2 =3^2+a^2
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a^2 =27

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If the unit price for oranges is $0.26 per pound and Jim pays $2.08 for oragnes ,how many pounds of oranges does he buy ?

Answers

2.08/0.26=8

the answer is 8 pounds
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A species of plant experiences exponential growth after it is introduced into an area where it has never been. Which statement best describes exponential growth?

Answers

Answer:

C. Within a few years the population increases dramatically

True. As we can see on the functionA = A_o e^(rt) if we increase the time by 10 units for example the final amount is increasing by a factor of e^(10)=22026.47 and that represent a dramatically increase.

Step-by-step explanation:

When we have a exponential growth model the general formula is given by:

A = A_o e^(rt)

Since says "growth" the rate of increase r>0, A_o represent the initial amount and A the amount after the time t.

Assuming the possible options for the answer. We analyze one by one

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B. The population immediately decreases

False. We are assuming that the model is for a growth rate so then is not possible to have a decrease.

C. Within a few years the population increases dramatically

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D. The specie's reproductive potential declines

False, we are considering a growth model in which it makes no sense to consider that the potential, population or quantity measured decrease.

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Answers

   
\displaystyle\n \bold{A = b * h} \n \n A = 100~cm^2 \n b = 2~ccm\n h = ?\n\n h = (A)/(b) =(100~cm^2)/(25~cm) = \boxed{4~cm}