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Brut [27]
3 years ago
9

Hurry I need the answers plz and how u got it

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

There are 122,100 public school teachers in Ohio and Ohio has a population of 11.6 million people. Illinois has a population of 12.9 million people. If the number of public school teachers per capita in Illinois was proportional to that of Ohio, how many public school teachers would we expect Illinois to have?

This problem uses proportionality or the relationship between two values. Typically, proportions are expressed as fractions. So, we can set this up as

\frac{Teachers}{Population} and we can use this to express both of our values. So, for Ohio, we have \frac{122,100}{11,600,000} and for Illinois we have \frac{x}{12,900,900}. Now, because they are proportional, we can set them equal to each other and we get \frac{122,100}{11,600,00} = \frac{x}{12,900,000}. Now we can cross multiply to get $11,600,000x=1446090000000$ . To get the $x$ alone on one side, we divide by$11,600,000$ and we get 124,662.931034, which is about equal to 124,663.

Therefore, we expect Illinois to have 124,663 public school teachers

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Step-by-step explanation:

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2 years ago
What is the answer to x in this equation K(x)=3/2x-1;k(x)=-4
I am Lyosha [343]

Answer :

-1/3

Explaination :

K(x) = 3/2x - 1

K(x) = -4

K(-4) = 3 / 2(-4) - 1

K = 3 / -8 - 1

K = 3 / -9

K =

-  \frac {1}{3}

6 0
3 years ago
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Solve the system of equations by elimination<br><br> 3x + 5y = 16<br> 2x - y = 2
alina1380 [7]

Answer:

the answer is 2

Step-by-step explanation:

8 0
3 years ago
1<br>Determine the value of k if g(x)=4x+k is a tangent to f(x)=-x²+8x+20​
tangare [24]

Answer:

k=24

Step-by-step explanation:

The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.

f=-x^2+8x+20

Differentiating both sides:

f'=(-x^2+8x+20)'

By sum rule:

f'=(-x^2)'+(8x)'+(20)'

By constant multiple rule:

f'=-(x^2)'+8(x)'+(20)'

By constant rule:

f'=-(x^2)+8(x)'+0

By power rule:

f'=-2x+8

f' at x=a is -2a+8

This is the slope of any tangent line to the curve f.

The slope of g is 4 if you compare it to slope intercept form y=mx+b.

So we gave -2a+8=4.

Subtracr 8 on both sides: -2a=-4

Divide both sides by -2: a=2

The tangent line to the curve at x=2 is y=4x+k.

To tind y we must first know the y-coordinate of the point of tangency.

If x=2, then

f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32

So the point is (2,32).

g(x)=4x+k and we know g(2)=32.

This gives us:

32=4(2)+k

32=8+k

k=32-8

k=24

6 0
2 years ago
The number of employees at a factory was increased by 5% from its original total of 1080 workers. What was the new number of emp
Kamila [148]
Find out the number of 5% from its original total of 1080 workers.
1080×5%=54
Then,find the total of the employees.
1080+54=1134
So,the new number of employees is 1134.
8 0
3 years ago
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