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PIT_PIT [208]
3 years ago
6

Which expression is equivalent to 5m + m + 2m?

Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer:

8m

Step-by-step explanation:

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Suppose that the inside bottom of a box is painted with three colors: 1/3 of the bottom area is red, 1/6 is blue, and 1/2 is whi
Rus_ich [418]

Answer:

The Probability of the pebble landing on red = 1/3

The Probability of the pebble landing on blue = 1/6

The Probability of the pebble landing on white = 1/2

Total sum of probability = 1/3 + 1/6 + 1/2 = 1

The probability that the first pebble lands on blue and second pebble lands on red is:

1/6 * 1/3

= 1/18    

Step-by-step explanation:

Red, Red = 1/3 * 1/3

Red, Blue = 1/3 * 1/6

Red, white = 1/3 * 1/2

Blue, Blue = 1/6 * 1/6

Blue, Red = 1/6 * 1/3

Blue, white = 1/6 * 1/2

White, White = 1/2 * 1/2

White, Red = 1/2 * 1/3

White, Blue = 1/2 * 1/6

8 0
3 years ago
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw
VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)

from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0
3 years ago
you bought 4 pairs of socks @ 2.29 each and one cap @ 5.98. With a sales tax of 4%, what was the total amount of the purchase?
coldgirl [10]
The Total amount should be $15.71
5 0
3 years ago
Read 2 more answers
During a game, Naomi lost points. She lost fewer
finlep [7]
The answer is 1 or 2.
6 0
3 years ago
Simplify: 9y + 2xy -2 -4y +4xy +2
vaieri [72.5K]
Equation simplified would be 5y+6xy
4 0
3 years ago
Read 2 more answers
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