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likoan [24]
3 years ago
14

A worker at a factory earns $12 per hour plus 2.50 for each unit produced that hour. The worker earns a total of $27 in one hour

. What is the total number of units produced?
Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

The total number of units produced is 6  .

Step-by-step explanation:

Given as :

The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour

The total earning of worker per hour = $ 27

Let The total number of unit produced = x

According to question

The wage worker earn per hour + earning  × per unit produced that hour = Total earning of worker per hour

Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27

Or, $ 2.50 each unit per hour × x = $ 27 - $ 12

Or,  $ 2.50 each unit per hour × x = $ 15

∴   x = \frac{15}{2.50}

Or, x = 6

Hence The total number of units produced is 6  .   Answer

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-2 < 3x+4 < 31 find x
Eva8 [605]

First rewrite into 2 inequalities,

-2\lt3x+4

3x+4\lt31

Solve each of the inequalities,

-2\lt3x+4\implies3x\gt-6\implies x\gt-2

3x+4\lt31\implies 3x\lt27\implies x\lt9

So our x is between -2 and 9 which can be written as,

-2\lt x\lt9

or as an interval,

x\in(-2,9)

Hope this helps :)

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A punter kicks a football into the air. The pathway of the football can be represented by the equation h=-16t^2+82t (where t= ti
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Step-by-step explanation:

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3 years ago
write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercep
Nimfa-mama [501]

Answer:

y = -\frac{1}{3} x + 2

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = \frac{0 - -6}{2 - 0} = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = -\frac{1}{3}

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is -\frac{1}{3}

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

-\frac{1}{3} = \frac{y - 4}{x - -6}

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