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valkas [14]
3 years ago
13

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Step-by-step explanation:

13 + 22 = 35 degree change. 10-3 = 7. 35/7 = 5 degrees per hour.

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Suppose that a local trout population exhibits exponential growth by doubling every 4 years. Considering that the initial popula
antoniya [11.8K]
Okay, so this is just a basic multiplication problem. first, we need to divide to figure out how much the trout population grows after 1 year. If it doubles in 4 years, then it will rise by a quarter each single year. So to put that in terms of fractions, then for every year, the equation would be 250x1/4. So then we do the equation, coming up with 62.5. This means that the population rises roughly 63 fish a year. So after 1 year, you will have roughly 313 fish. (312.5 to be exact). Then to get that by ten years, we can just multiply the number that we got for one year by ten. 62.5x10=625. So then we add the 250 original trout, and 250+625=875. So after 10 years, there will be 875 trout.
8 0
2 years ago
What is the solution to the system of equations?
Trava [24]

Call the two equations above A and B, in order to not confuse them.

A: -2x + 6y = -38

B: 3x - 4y = 32

For this system we have opposites in x and y, so Elimination (or Linear Combination) works best. Either variable works, so let's work with x first and multiply A by 3 and B by 2. This is done so we get opposites in A and B then when added together give zero.

-2x + 6y = -38 ------> multiply by 3 ----> -6x + 18y = -114

3x - 4y = 32 ------> multiply by 2 -----> 6x - 8y = 64

Now we add the new equations. The -6x and 6x are opposites and go away. We are left with

10y = -50. We divide both sides by 10 and get that y = -5.

Now we take y = -5 and put it into an original equation. Let's use A.

-2x + 6y = -38 the original equation A

-2x + 6(-5) = -38 we found y = -5

-2x + (-30) = -38 evaluating and multiplying

-2x - 30 = -38 apply the parentheses

-2x = -8 add 30 to both sides

x = 4 divide on both sides by -2


Thus x = 4 and y = -5, or (4, -5) is the solution.

6 0
3 years ago
Read 2 more answers
Sam is on the swim team. Each week he swims a total of
dimulka [17.4K]
Ok so there are 1000 meters in a kilogram right so 
9000 meters= 9 kilograms
5 0
3 years ago
A square has a side length of 4a. One dimension is decreased by 5 and the other dimension is decreased by 5. Expand and simplify
kondaur [170]

Answer:

Area= 16a^2-40a+25

Step-by-step explanation:

given that the side of the square is 4a

The expression for the area can be solved by

1. subtracting 5 from the sides of the square i.e (4a-5)

2. Solving for the area of the square using

Area= l^2

Area= (4a-5)^2\\Area= (4a-5)(4a-5)\\

opening the bracket and expending we have

Area= 16a^2-20a-20a+25\\Area= 16a^2-40a+25

the expression is Area= 16a^2-40a+25

5 0
3 years ago
Solve the following system of equations. Express your answer as an ordered pair in the format (a,b) with no spaces between the n
Westkost [7]
The answer is 0 because 2+5 is 7 and then 5-2 is 7
6 0
3 years ago
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