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iragen [17]
3 years ago
10

Jackson has $1.50 in quarters and dimes. Let x represent the number of quarters and y represent the number of dime. Find the dom

ain and range of this situation.
Mathematics
1 answer:
QveST [7]3 years ago
8 0

Answer:

3 dimes

Step-by-step explanation:

Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)

Part B: Plug in what you DO know and solve the one you DON’T:

0.10x + 0.25(2) = 0.80

0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:

0.10x = 0.30 (Divide both sides by 0.10)

x = 3

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Answer: 9

Step-by-step explanation:

36 ÷ 4 = 9

4 0
3 years ago
the US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years. By how muc
rewona [7]

Answer:

The population growth is 6.26 per square mile per year

Step-by-step explanation:

We are given

he US Census found at the population per square mile in the state rose from 128.7 to 191.3 during the last 10 years

So,

Initial population =128.7

Final Population =191.3

Total time =10 years

now, we can find population grow per year

=\frac{final-initial}{T}

now, we can plug values

=\frac{191.3-128.7}{10}

=6.26

So,

The population growth is 6.26 per square mile per year

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4 years ago
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Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12
Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

\sf \longrightarrow 2y + 4x = 12 \\

\sf \longrightarrow 4x + 2y = 12

Firstly convert this into slope intercept form , to find out the slope of the line.

\sf \longrightarrow 2y = -4x +12\\

\sf \longrightarrow y =\dfrac{-4x+12}{2}\\

\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\

\sf \longrightarrow \red{ y = -2x + 6 }

Now on comparing it to slope intercept form which is y = mx + c , we have ,

  • m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

\sf \longrightarrow y - y_1 = m(x - x_1)

Now on substituting the respective values we have,

\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\

\sf \longrightarrow 2(y-1 )= x -8 \\

\sf \longrightarrow 2y -2=x-8\\

\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}

5 0
3 years ago
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