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Contact [7]
2 years ago
9

A. a scientist is studying the change in population for two species of fish in a lake. The table shows how the numbers of each s

pecies changed during a 4-year period.
YEAR: 1; 2; 3; 4
FISH A: 500; 520; 540; 560; 580
FISH B: 400; 430; 460; 490; 520
The scientist uses a linear model to predict future populations of both fish. Explain why, given the data in the table, population of fish A and the population of fish B can be modeled using linear equations.
Mathematics
1 answer:
Rom4ik [11]2 years ago
5 0

Answer:

The data can be modeled using linear equatins, because there's the same amount of population for fish A (+20 per year) and fish B (+30 per year) every year.

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Write the expresion in simplest form<br> (-11/2x+30)-2(-11/4x-5/2)
qwelly [4]

The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

<h3>How to simplify the expression?</h3>

The expression is given as:

(-11/2x+30)-2(-11/4x-5/2)

Expand the bracket

-11/2x + 30 + 11/2x + 5

Collect the like terms

11/2x -11/2x + 30 + 5

Evaluate the like terms

35

Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

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4 0
1 year ago
Carrie borrowed money from her sister Melissa. She has been paying her back $80 a month for the past 5 months. If this is 32% of
MrRa [10]

The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

<h3>What is percentage of a number?</h3>

Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.

Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,

x=$80×5

x=$400

Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,

\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250

Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.

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4 0
2 years ago
Sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels. Sandy says the mean of the data is 4. Is Sandy correct?
diamong [38]
If sandys friends ate 0, 2, 3, 4, 6, 6, and 7 pretzels, the mean of the data would be 4. So yes sandy is correct.
7 0
3 years ago
Read 2 more answers
Probability of pulling a green marble out of a bag of coloured marble is 2:5 if you were to pull coloured marbles out of the bag
Slav-nsk [51]

Answer: 171 green marbles

Step-by-step explanation: There are 7 total marbles so 100/7 equals 14.28

Then there is a 2 out of 7 total tries so  14.28 * 2 equals 28.57% chance to get a green marble.

600 * 0.2857 = 171.41 marbles but you cant get half a marble so 171 green marbles.

6 0
3 years ago
A section of a rectangle is shaded. The area of the shaded section is 63 square units. What is the value of x?
ella [17]

Answer:

x=11  

Step-by-step explanation:

We have been given a graph of a rectangle. The area of the shaded section is 63 square units. We are asked to find the value of x.

We can see from our given graph that shaded section forms a trapezoid, so we will use area of trapezoid formula to find the value of x.

\text{Area of trapezoid}=\frac{(a+b)}{2}\times h, where, a and b represents the parallel sides of trapezoid and h represents height of trapezoid.

Upon substituting our given values in above formula we will get,

63=\frac{7+x}{2}\times 7

63=(7+x)*3.5

Upon dividing both sides of our equation by 3.5 we will get,

\frac{63}{3.5}=\frac{(7+x)*3.5}{3.5}

18=7+x

Let us subtract 7 from both sides of our equation.

18-7=7-7+x

11=x

Therefore, the value of x is 11 units.

5 0
3 years ago
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