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Ksenya-84 [330]
3 years ago
10

A book distributor is trying to divide an order of textbooks into equally sized groups for shipping in cartons. The textbooks ca

n be divided into groups of 12, groups of 15, or groups of 18, with no books left over. Which of the following inequalities is satisfied if N is the smallest possible total number of textbooks?
A. 100 < N < 150
B. 150 < N < 200
C. 200 < N < 250
D. 250 < N < 300
Mathematics
1 answer:
Phoenix [80]3 years ago
3 0
Calculate least common factor of 12, 15 & 18.
It will be 180.
answer is 
<span>B. 150 < N < 200</span>
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The sevth term of a geometric sequence is 108 the eight term is 36 find the common ratio
ValentinkaMS [17]

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

\sf t_8=108 \\ \sf t_7=36

  • Common difference=d

{:}\longrightarrow\sf d=t_8-t_7

{:}\longrightarrow\sf d=108-36

{:}\longrightarrow\sf d=72

7 0
3 years ago
50 POINTS please only a correct answer
labwork [276]

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7 0
4 years ago
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Which function below is the inverse of f(x) = The quantity of three x plus five, over seven?
Nastasia [14]
Given function: f(x) = (3x+5)/7

y = f(x) so it's the same as y = (3x+5)/7

Swap every copy of x and y to get x = (3y+5)/7

Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3

So the inverse function is f^(-1)(x) = (7x-5)/3

Answer is choice A


5 0
3 years ago
Read 2 more answers
If you deposit $12,500 in an account that pays 4.5% interest quarterly, what is the balance after 8 years? How much did the acco
Masja [62]

In order to determine the balance of the account, use the following formula for the amount of money obtained after t years, basen on a compound interest:

A=P(1+\frac{r}{n})^{nt}

where,

P: principal = $12,500

A: amount earnt after t years = ?

r: interest rate in decimal form = 0.045 (4.5%)

n: times at year for the compund interes = 4 (quaterly)

Replace the previous values of the parameters into the formula for A and simplify:

\begin{gathered} A=12,500(1+\frac{0.045}{4})^{4\cdot8} \\ A=12,500(1+0.01125)^{32} \\ A=12,500(1.01125)^{32} \\ A=12,500(1.430451402) \\ A\approx17,880.64 \end{gathered}

Hence, the balance after 8 years is approximately $17,880.64 in the account.

The interest earnt by the account is given by the difference between the previous result and the principal invesment:

I = $17,880.64 - $12,500 = $5,380.64

Hence, the interest earnt is $5,380.64

3 0
1 year ago
PLEASE HURRY-When Melissa is playing soccer she makes 2 goals out of every 12 shots on goal. How many times would you expect her
melisa1 [442]

Answer: 24 goals

Step-by-step explanation:

Melissa makes 2 goals out of every 12 shots on goal.

This means that the amount of shots needed to score a goal for her is:

= Number of shots / Number of goals

= 12 / 2

= 6 shots

She scores a goal every 6 shots.

If she makes 144 shots therefore, she will score:

= Number of shots / Number of shots needed per goal

= 144 / 6

= 24 goals

6 0
3 years ago
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