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Arada [10]
2 years ago
8

a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven t

here will be none left. find the least number of passengers in the bus?​
Mathematics
1 answer:
devlian [24]2 years ago
3 0

Answer:

91.

Step-by-step explanation:

The least number will be a multiple of 7 while the number - 1 will be a multiple of 2,3 and 5.

2*3*5 = 30  but 31 is not a multiple of 7.

2*2*3*5 = 60 but 61  is not divisible by 7.

2*3*3*5 = 90 and 91 is divisible by 7.

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Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5​
olchik [2.2K]

Answer:

The answer is

<h2>y =  -  \frac{2}{3} x + 5</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation we must first find the slope of the line.

So the slope of the line using points (-3, 7) and (9,-1) is

<h3>m =  \frac{ - 1 - 7}{9 + 3}  =  -  \frac{8}{12}  =  -  \frac{2}{3}</h3>

Now we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is any of the points given

So the equation of the line using point

( - 3 , 7) and slope - 2/3 is

<h3>y - 7 =  -  \frac{2}{3} (x + 3) \\ y - 7 =  -  \frac{2}{3} x - 2 \\ y =  -  \frac{2}{3} x - 2 + 7</h3>

We have the final answer as

<h3>y =  -  \frac{2}{3} x + 5</h3>

Hope this helps you

5 0
2 years ago
Read 2 more answers
Two-thirds Times a number plus 7 equals 7 minutes the number. Find the number
skelet666 [1.2K]
2/3x + 7 = x-7
         +7      +7
---------------------
2/3x + 14 = x
-2/3x        -2/3x
----------------------
14 = 1/3x
*3     *3
-------------
42 = x

Hope this helps! :)


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Suppose you borrow money for 6 months. If the interest rate is compounded monthly, the formula
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Answer:

$1045.85.

Step-by-step explanation:

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Amount of money needed to pay off the loan =

1000(1 + 0.09/12)^6

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