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ser-zykov [4K]
4 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]4 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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Which is the following is a possible solution for the inequality? x+7&lt;10
Ymorist [56]

Answer:

x + 7 < 10 \\ x < 10 - 7 \\ x  < 3

7 0
3 years ago
At camp today, kids can choose art, swimming, or music. Of those activities, 40 kids choose swimming, 16 choose art, and 24 choo
Irina18 [472]
16 to 24 kids chose swimming over art
7 0
3 years ago
Read 2 more answers
How many 2-digit numbers are multiples of 2 but not 3?
WARRIOR [948]

Answer:

30 numbers

Step-by-step explanation:

Two-digit numbers divisible by 2 are basically just the even two-digit numbers: 10, 12, 14,...96, 98.

Let's collectively divide all these numbers by 2:

10/2 , 12/2 , 14/2 , ... 96/2 , 98/2

5, 6, 7, ... 48, 49

Now subtract 4 from each of them:

5 - 4, 6 - 4, 7 - 4, ... , 48 - 4, 49 - 4

1, 2, 3, ... , 44, 45

So there are 45 multiples of 2 that are two-digit numbers.

The numbers that are both multiples of 2 and 3 are those that are multiples of 6:

12, 18, 24, ... , 96

We want to count how many there are, so divide all these numbers by 6:

12/6 , 18/6 , 24/6 , .... , 96/6

2, 3, 4, .... , 16

There are 15 numbers that are multiples of 2 and 3, so subtract 15 from 45: 45 - 15 = 30

The answer is 30.

Hope this helps!

7 0
4 years ago
Ali writes the expression "half of the sum of $9$ and a number." Write an algebraic expression that is equivalent to Ali's expre
HACTEHA [7]

Answer:

1 ÷ 2(9 + x)

4.5 + 0.5x

Step-by-step explanation:

Given that

We write the expression i.e. half of the sum of $9 and a number

Here we need to write the two expression that is different from each other

So,

Let us assume the number be x.

Now The first equation depend on the information given will be:

= 1 ÷ 2(9 + x)

And, The second equation is

= (9 + x) ÷ 2

= 4.5 + 0.5x

8 0
3 years ago
4x – 8x + 2 = -4(x + 3)
aliya0001 [1]

Answer:

No solution

Step-by-step explanation:

4x – 8x + 2 = -4(x + 3)

4x – 8x + 2 = -4x - 12

-4x + 2 = -4x - 12

-4x + 4x + 2 = -4x + 4x - 12

2 = -12

No solution

6 0
3 years ago
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