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Liula [17]
3 years ago
5

If pens cost 9 cents each, what equation could be written to calculate the cost, c, of any number of pens, p?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0

Answer:

The total cost (in dollars) of p pens is C = 0.09 p

Step-by-step explanation:

The cost of each pen = 9 cents

Now, 1 cent  = $0.01 cents

⇒ 9 cents  = $0.09

So, the cost of  1 pen = $0.09

The number of pens purchased= p

Let the total cost of p pens = c

Also, the cost of p pens = p x ( Cost of 1 pen)  = p ( $0.09)  = 0.09 p

or, C = 0.09 p

Hence the total cost (in dollars) of p pens is C = 0.09 p.

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Question 24 Multiple Choice Worth 1 points)
hammer [34]

Given:

The system of equations is:

Line A: y=x-4

Line B: y=3x+4

To find:

The solution of given system of equations.

Solution:

We have,

y=x-4              ...(i)

y=3x+4           ...(ii)

Equating (i) and (ii), we get

x-4=3x+4

-4-4=3x-x

-8=2x

Divide both sides by 2.

-4=x

Substituting x=-4 in (i), we get

y=-4-4

y=-8

The solution of system of equations is (-4,-8).

Now verify the solution by substituting x=-4, y=-8 in the given equations.

-8=-4-4

-8=-8

This statement is true.

Similarly,

-8=3(-4)+4

-8=-12+4

-8=-8

This statement is also true.

Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.

8 0
2 years ago
Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth. ​
Assoli18 [71]

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = \frac{1}{2}aP

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

                                             = 30 cm

Substituting these values in the formula,

Area = \frac{1}{2}(4.1)(30)

        = 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².

8 0
2 years ago
PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!
max2010maxim [7]

Answer:

Step-by-step explanation:

y intercept is -6

the slope is already in it's fraction form but if you want it back to whole number it's y=1.33x-6

the slope is positive

Some plots you can put are (6, 2) and (12, 10)

Just start at (0, -6) and counts 4 up and 3 right

4 0
2 years ago
This is really confusing. Thanks for helping.
Mandarinka [93]
Count change of signs to tell positive roots
then replace x with -x and evaluate, then count change in sign for negative roots


initially
+, -, -, +, +, -
3 changes
3 or 1 positive roots


replacing x with -x
-,-,+,+,-,-
2 changes
2 or 0 negative roots



B is answer
5 0
3 years ago
How much time is it from 3:45pm to 5:15pm
Leokris [45]
1 hour and 30 minutes because when you subtract those you will get that answer
4 0
3 years ago
Read 2 more answers
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