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12345 [234]
3 years ago
13

A team of scientists is traveling by boat to study a pod, or group, of dolphins. The equation y = 0.2x can be used to find the d

istance, y, in miles the boat travels in x minutes. The dolphins are currently 8.4 mi from the boat. If the dolphins stay to where they are, how long will it take the boat to reach them? Show your work.
Mathematics
1 answer:
Alenkinab [10]3 years ago
6 0

Answer:

42 minutes.

Step-by-step explanation:

We know that:

y = 0.2*x

is the equation that that defines the distance, in miles, that the boat travels in x minutes.

We know that the dolphins are at 8.4 miles from the boat.

Then when we have y = 8.4, this will mean that the boat reached the dolphins.

Then we need to solve the equation:

y = 8.4 = 0.2*x

for x

To do that, we just need to isolate x in one side of the equation, so we can just divide both sides by 0.2 to get:

8.4/0.2 = (0.2*x)/0.2

42 = x

And x is time in minutes, thus, the boat needs to travel for 42 minutes to reach the dolphins.

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PLEASE HELP ME QUICKLY!!!!
LiRa [457]
For each, you'll use the slope formula 
m = (y2-y1)/(x2-x1)

For function f, you'll use the two points (1,6) and (2,12) since x ranges from x = 1 to x = 2 for function f

The slope through these two points is 
m = (y2-y1)/(x2-x1)
m = (12-6)/(2-1)
m = 6/1
m = 6

-------------------------------------------

For function g, you'll use (2,4) and (3,20)

The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (20-4)/(3-2)
m = 16/1
m = 16

-------------------------------------------

For function h, you'll use (0,-6) and (2,-18). The y coordinates can be found by plugging in x = 0 and x = 2 respectively into h(x)

The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (-18-(-6))/(2-0)
m = (-18+6)/(2-0)
m = (-12)/(2)
m = -6

-------------------------------------------

The order from left to right is: h, f, g

6 0
3 years ago
A recipe calls for 2 1/2 cups of flour to make 24 cookies.how many cups of flour is required to bake 30 cookies
Alex17521 [72]
24 = 2/1/2 cups
1 cup = 9/3/5
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8 0
3 years ago
What is the value of an of the geometric series?<br> -<br> n=1
scZoUnD [109]
I think m=2... i think..still learning this subject
3 0
3 years ago
The sum of a number and twice a second number is 29. The second number is ten less than three times the first number. What are t
katovenus [111]

the sum of a number and twice a second number

8 0
3 years ago
What is the length of an arc with a central angle of 54π radians and a radius of 34 cm?
zvonat [6]
The formula in solving the length of an arc is shown below:
Length of an Arc = 2pi*r (central angle/360°)
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r = 34 cm

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Arc length = 5,765.04 cm

The answer is 5,765.04 cm.
4 0
3 years ago
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