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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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Need to find the sum of 50
Bumek [7]

Answer:

4600

Step-by-step explanation:

This is an arithmetic sequence with common difference d between consecutive terms.

d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2}[ 2a + (n - 1)d ]

where a is the first term

here a = - 6, d= 4 and n = 50, hence

S_{50} = \frac{50}{2} [ (2 × - 6) + (49 × 4) ]

                           = 25 ( - 12 + 196 )

                           = 25 × 184

                           = 4600

6 0
3 years ago
What is the sum of the first 35 terms in the series 7+9+11+
Temka [501]

In below formula for arithmetic sequence you can fill in a=7 (start), d=2 (interval) and n=35 (nr terms) and you get

17.5(14 + 34*2) = 1435

Confirmed by a brute-force addition: 7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75=1435

3 0
3 years ago
Ahmad has $x. Abu has $5 more than Ahmad. Razak has twice as much as Abu. Together they have $175. What is the value of x?
Alisiya [41]
Abu X + 5

Razak 2x + 10

Ahmad X

Together 4x + 15

175 - 15 = 160

160 / 4 = 40

X = 40
7 0
2 years ago
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elixir [45]
Y=x+3
-3x+3(x+3)=4
-3x+3x+9=4
9=4
Since this statement is false, there are no ordered pair solutions to this problem.
8 0
3 years ago
A purse originally cost $45.99. This week, it is on sale for 25% off.
sertanlavr [38]

Answer: A

Step-by-step explanation:

8 0
2 years ago
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