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sertanlavr [38]
3 years ago
13

The profit at a factory that makes CD's can be computed using the linear equation p = 2.5d - 1000 where p is the profit and d is

the number of CD's sold. What is the slope and what does it represent?
Mathematics
2 answers:
telo118 [61]3 years ago
8 0

The slope is 2.5/1 such that 2.5 rise and 1 is run.

It represents the number of CD's.  

AleksandrR [38]3 years ago
7 0

Answer:

This slope represents the profit increase by the sales of one CD.

Step-by-step explanation:

The profit at a factory that makes CD's can be computed using the linear equation P = 2.5d + 1000

Where P is profit and d is the number of CD's sold.

In this liner function 2.5 represents the slope.

This slope represents the profit increase by the sales of one CD.

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joe has a piggy bank with $8.90 split upon nickels, dimes, and quarters. The piggy bank contains 76 coins in all. The number of
kozerog [31]

Answer:

There are 38 dimes, 22 nickels and 16 quarters.

Step-by-step explanation:

Let n, d and q represent the # of nickels, dimes and quarters respectively.

Then n + d + q = 76

The value of a nickel is $0.05; that of a dime is $0.10, and that of a quarter is $0.25.

Thus, the value of n nickels is $0.05n (and so on).

The total value of the coins is $0.05n + $0.10d + $0.25q = $8.90.

d = n + q allows us to eliminate d.

First, n + d + q = 76 becomes n + (n + q) + q = 76, and second:

$0.05n + $0.10(n + q) + $0.25q = $8.90.  Here we have succeeded in eliminating d from two different equations, and now we have these two different equations in two unknowns (n and q), which is solvable.

Simplifying both equations, we get:

2n + 2q = 76 and

5n + 10n + 10q + 25q = 890, or 15n + 35q = 890

Let's use the substitution method of solving linear equations:

Rewrite 2n  + 2q = 76 as n + q = 38, or n = 38 - q.  Substituting this result into the second equation, we get:

15(38 - q) + 35 q = 890, or

  570 - 15q + 35q = 890, or

   570 + 20 q = 890.  Then 20q = 890 - 570 = 320, and q = 320/20 = 16.

There are 16 quarters.  Thus, the number of nickels is n = 38 - 16 = 22.

Finally, since n + d + q = 76, 22 + d + 16 = 76, or:

22 + d = 60, or d = 60 - 22 = 38.

There are 38 dimes, 22 nickels and 16 quarters.

4 0
2 years ago
Which number line shows the solution set for the inequality -4x+7>15
Ira Lisetskai [31]
First, let's simplify the inequality as much as we can:

-4x + 7 > 15
-4x > 8

Divide by -4:
x < -2

3 0
3 years ago
Which statements about the graph of f(x) =√x are true?
marshall27 [118]

Answer:

Step-by-step explanation:

So let's think about what values you can take square root of...

anything but negative values!

So the first one is not correct because you can also take square root of 0,

squareroot of 0 is 0.

So because of this, C and D are both correct, E is correct because root  x is an increasing function. B is incorrect because (0,0) is an intercept.

5 0
3 years ago
lyle is sewing for a project. find his total cost of purchases: $5.98,fabric $16.39, thread and 2.25 Velcro 2.29
max2010maxim [7]
What you have to do is add all of the numbers:
5.98 + 16.39 + 2.25 + 2.29 =
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Hope that helps!
5 0
3 years ago
Read 2 more answers
the sides of the rectangle are inreased by a scale factor of 4. The perimeter of the smaller retangle is 20 cm. What is the peri
Vedmedyk [2.9K]
The height of the smaller rectangle, let us say is 5
5 x 4 = 20
(multiply height of rectangle to scale factor)
the length is 4
4 x 4 = 16
(multiply length of rectangle to scale factor)

to find larger factor, divide smaller with larger
16/20 = 1/4

scale factor should be 1/4

multiply 20 with 4

perimeter of larger should be 80

hope this helps

6 0
3 years ago
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