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kykrilka [37]
3 years ago
7

The function C(x)=20x+4,000 represents the cost to produce x number of items. How many items should be produced so that the aver

age cost is less than $40?
Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

More than 200 items must be produced to keep the average cost below $40 per item.

Step-by-step explanation:

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The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.
kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions.  The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced


7 0
3 years ago
Sorry I forgot to take the picture.please solve 16-17
kaheart [24]

Answer:

Can't see the picture because old computer but isn't 16 minus 17 = -1 (negative 1)

Step-by-step explanation:

4 0
3 years ago
At a department store, a total of 12,568 DVDs were sold last year. The circle graph below shows the percentage of each type of D
Zina [86]

Answer:

C

Step-by-step explanation:

12568*.45 = 5655.6

c is best answer here

3 0
3 years ago
What is the solution to the inequality-8y≤16​
MatroZZZ [7]
The answer is y ≥-2
6 0
2 years ago
Read 2 more answers
write an equation for the line passing through the point (3,5) and perpendicular to the line y=-1/3x+5
jarptica [38.1K]

Answer:

y= 3x -4

Step-by-step explanation:

The equation of a line can be written in the form of y=mx +c, where m is the slope and c is the y-intercept. This is also known as the slope-intercept form.

y =  -  \frac{1}{3} x + 5

Since the given equation is in the slope-intercept form, we can identify its slope from the coefficient of x.

Slope= -⅓

The product of the slopes of perpendicular lines is -1.

Slope of perpendicular line

=  - 1 \div ( -  \frac{1}{3} )

=  -  1 \times ( -  \frac{3}{1} )

= 3

Thus, the equation of the perpendicular line is given by:

y= 3x +c

Substitute a pair of coordinates that the line passes through to find the value of c.

When x= 3, y= 5,

5= 3(3) +c

5= 9 +c

<em>Minus 9 on both sides:</em>

c= 5 -9

c= -4

Hence, the equation of the perpendicular line is y= 3x -4.

Additional:

For more questions on equation of perpendicular lines, do check out the following!

  • brainly.com/question/2141803

4 0
2 years ago
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