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Makovka662 [10]
3 years ago
14

On June 1, a fast-growing species of algae is accidentally introduced into a lake in a city park. It starts to grow and

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
4 0

Answer:

June 29

Step-by-step explanation:

Since the question clearly states that the rate of algae growth is such that the area it covers doubles every day then the inverse is also true, i.e. going back a day the area covered is half.

It can be simply assumed that on the previous date from the day the entire lake was covered, half of the area must have been covered. This means that on the day prior to June 30 the lake was half covered, i.e. June 29

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A circular test track for cars has a circumference of 2.7km . A car travels around the track from the southernmost point to the
Galina-37 [17]
This problem is about the difference between distance and displacement.
The distance is how many kilometers has the car covered, the displacement is how far from the original point is the car now, and does not depend on the path followed, but it is the shortest path that connects two points.

a) In this part, they ask you for the distance. From the southernmost to the northernmost point of the circumference, the car has traveled half of the circumference, therefore:
distance = circumference ÷ 2 = 2.7km ÷ 2 = 1.35km

b) In this part, you are asked for the displacement, which in this case is the diameter of the circumference:
displacement = diameter = circumference ÷ π = 2.7km ÷ 3.14 = 0.86km = 860m
5 0
3 years ago
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3 years ago
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kenny6666 [7]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's we
Furkat [3]

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

b - j = \frac{b}{2}\\\frac{b}{2} - j = 0

Now we can solve using the process of elimination.

b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

120 + j = 180\\j = 180-120\\j = 60

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

4 0
2 years ago
Read 2 more answers
A "B" grade on a test is 85%. How many questions can you miss on a 35-question exam and get a<br> B.
vekshin1

Answer:

5

Step-by-step explanation:

If all question are worth same same amount of points, you can miss 5 questions out of 35 and get an 86. If you miss 6 questions you would get an 83.

hope this helped!

4 0
2 years ago
Read 2 more answers
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