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ser-zykov [4K]
3 years ago
14

A certain library charges a flat fee of $5 for any overdue book for the first x days the book is overdue, and an additional fee

of m dollars per day for every day after x that the book is overdue. What is the fee for a book that is 12 days overdue?
Mathematics
1 answer:
sweet [91]3 years ago
5 0

Answer: 5 (x > 12) or 5 + m(12 - x) (x < 12)

Step-by-step explanation:

flat fee $5 for first x days +

m dolars per day after x days

So, if x > 12, for 12 days the fee is $5 because it is a flat fee that do not depend of the numbers of day.

But, we do not know how many days x is, so

if x < 12, a person will pay, for 12 days, the m times the difference of the days passed x:

5 + m(12-x)

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Tyler went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 300 mg of sodium and each fr
Katena32 [7]

Answer:

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of sodium per can of soup = 300 mg

Amount of sodium per frozen dinner = 550 mg

They all collectively contain 5,750 mg of sodium

Tyler purchased twice as many cans of soup as frozen dinners

2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.

Let s to represent the number of cans of soup Tyler purchased

Let d to represent the number of frozen dinners Tyler purchased

Let's write our equation of systems:

s = 2d (1st equation)

300s + 550d = 5,750 (2nd equation)

************************************************

Substituting s and solving for d in the 2nd equation:

300s + 550d = 5,750

300 * 2d + 550d = 5,750

600d + 550d = 5,750

1,150d = 5,750

d = 5,750/1,150

<u>d = 5 ⇒ s = 2 * 5 = 10</u>

<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>

Let's prove d = 5 and s = 10 are correct:

300 * 10 + 550 * 5 = 5,750

3,000 + 2,750 = 5,750

5,750 = 5,750

<u>We proved d = 5 and s = 10 are correct</u>

3 0
4 years ago
Classify the polynomial 5x^3+4x-2 by degree
Kaylis [27]
Hightest exponent is 3
cubic

C is answer
7 0
3 years ago
Read 2 more answers
What is 66% of $444? (Round to the nearest whole number)
mezya [45]
$444-66%= $150.96= $151
8 0
3 years ago
The second digit after the decimal point in a number is 4. What is the value of 4 in the number? 1 thousandth 4 thousandths 1 hu
MrMuchimi

Answer:

D. 4 hundredths

Step-by-step explanation:

Hello!

The second digit after the decimal point is 4 is shown by

0.04

The points after a decimal point go tenths, hundredths, thousandths etc.

The answer is D. 4 hundredths

Hope this helps!

3 0
3 years ago
Read 2 more answers
How do I do this?? Help!
Shkiper50 [21]

Hi there!

In order to use the elimination method, you have to create one variable that has the same coefficient. This is to be able to eliminate one variable and have a one variable equation (which you can then solve).

In your case, we'll have the "x" have the same coefficient by multiplying the top equation by 4 and the bottom equation by 2 :

4( -2x + 3y = -4) → -8x + 12y = -16

2( 4x - 2y = 16) → 8x - 4y = 32


Now that both of your equation have a variable with the same coefficient, you need to choose rather you need to add or subtract the equations in order to get rid of the variable (in this case we want to get rid of the "x").

In your case, you want to add both equation together which will give you :

8y = 16


Now that you only have one variable, all you need to do now is solve the equation for "y" :

8y = 16

Divide each side of the equation by 8

y = 2 → Your answer


There you go! I really hope this helped, if there's anything just let me know! :)


7 0
3 years ago
Read 2 more answers
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