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snow_tiger [21]
3 years ago
7

There are 12 people in an office with 3 different phone lines. If all the lines begin to ring at once, how many groups of 3 peop

le can answer these lines
Mathematics
1 answer:
viva [34]3 years ago
8 0

Answer: the required answer is 1320

Step-by-step explanation:

Total people = 12

Different phone lines = 3

We will choose the person to answer the first phone in 12 ways.

Then choose the second person in 11 ways. (11 people left)

Then choose the third person in 10 ways.  ( 10 people left)

The number of groups of 3 people can answer these lines12 \times11\times10=1320

Hence, the required answer is 1320

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A bag contains 36 marbles, some
vesna_86 [32]

Answer:

6

Step-by-step explanation:

Given ratio: 1:5

Total number of marbles = 36

Consider, number of Transparent marbles = 1x

number of green marbles = 5x

So,

1x + 5x = 36

6x = 36

x = 36/6

x = 6

So, the number of transparent marbles is:

1x = 1 x 6 = 6 transparent marbles.

7 0
3 years ago
Read 2 more answers
EXPLAIN THE ERROR A student solves the compound inequality 15< 2x + 5 < 17 and finds the solutions of the compound inequal
exis [7]

Given : Compound inequality 15< 2x + 5 < 17.

Solution:  In order to solve a compound inequality , we need to isolate for a variable in the middle and get rid all numbers from the middle.

Here in the given problem, we have 2x+5 in the middle.

So, we need to get rid 5 first.

5 is added to 2x. The reverse operation of addition is subtraction.

So, we need to subtract 5 from all sides, from 15, from 2x+5 and from 17.

15-5 < 2x + 5-5  < 17 -5.

On simplifying, we get

10 < 2x < 12.

Now, we got 2x in middle. We need to get rid 2 from 2x.

2 is being multiplied with x. The reverse operation of multiplication is division.

Dividing by 2, we get

10÷2 < 2x÷2 < 12÷2

5 < x < 6

We got, x is greater than 5 and less than 6.

Therefore, final answer would not be all real numbers but real numbers between 5 and 6.

Please follow the graph on number line for it.


7 0
3 years ago
Recall the shipping box scenario from the Introduction. As an employee of a sporting goods company, you need to order shipping b
seraphim [82]

Answer:

n=9,−15

Step-by-step explanation:

thats the full answer

4 0
3 years ago
If Joe had 453 sweets and Patricia Stole 2/3 off of him how many sweets does Joe have left..??
dalvyx [7]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Divide by the denominator:

453/3 = 151

Multiply by the numerator:

151 x 2 = 302

Subtract this from the original number:

453 - 302 = 151

He has 151 sweets left

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

4 0
3 years ago
Read 2 more answers
(iii) A relation between a and b such that point (a,b) isequidistant from the points (8,3) and (2,7)​
RUDIKE [14]

Answer:

7.21 units

Step-by-step explanation:

GIven data

Point 1= (8,3)

x1= 8

y1= 3

Point 2=  (2,7)​

x2= 2

y2= 7

The expression for the distance between two points is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-8)²+(7-3)²)

d=√((-6)²+(4)²)

d=√36+16

d=√52

d= 7.21

Hence the distance between the points is 7.21 units

8 0
3 years ago
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