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mestny [16]
3 years ago
15

Someone please help me with this question

Mathematics
1 answer:
yan [13]3 years ago
7 0
14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.

14/50=x/7500

x represents how much trout is in the lake, we don’t know yet, but we’ll find out.

First, cross multiply.

14*7500=105000
50*x=50x

Now let’s turn this into an equation.

50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100

x=2100
Out of the 7500 fish in the lake, 2100 were trouts.
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Emelina wrote the equation of a line in point-slope form as shown below.
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Answer: y=3x+2

Step-by-step explanation:

Given: Emelina wrote the equation of a line in point-slope form as shown below.

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To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get

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3 years ago
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Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
MrMuchimi

Answer:

-13x-23

Step-by-step explanation:

Given sequence:  x-9, -x-11, -3x-13

Therefore,

  • a_1=x-9
  • a_2=-x-11
  • a_3=-3x-13

General form of an arithmetic sequence: a_n=a+(n-1)d

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}

Therefore,

a_n & =(x-9)+(n-1)(-2x-2)

To find the 6th term, input n = 6 into the equation:

\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}

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2 years ago
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