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Nesterboy [21]
2 years ago
11

This might seem like an easy question to answer but, "Doreen plans to divide her stickers among 5 friends. If she has 55 sticker

s, how many stickers will each friend receive? A: 14 B: 13 C:12 or D:11 ???
Mathematics
1 answer:
Evgen [1.6K]2 years ago
7 0

Answer:D

Step-by-step explanation:

Total number of stickers is 55

She has 5 friends

Each friend will get 55/5= 11 stickers

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Find the measure of the acute angles pls help
tangare [24]

Answer:

60 degrees

and

52 degrees

6 0
3 years ago
Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don
Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

nP_r=\frac{n!}{(n-r)!}

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

_nC_r=\frac{n!}{(n-r)!r!}

The formula can now be applied as follows;

\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}

If the order is not relevant, then the selection can be done in 56 ways.

3 0
9 months ago
Please help it will be brainlist please make sure you are 100% the awnser is right
Dominik [7]

Answer:

Step-by-step explanation:

Step 1: Sum of angles on a straight line is 180

Step 2:

2x + 25 + y = 180

2x + y = 180 - 25

2x + y = 155  (1)

Step 3:

3x - 10 + y = 180

3x + y = 180 + 10

3x + y = 190    (2)

Step 4: Substract equation 1 from 2

3x + y - 2x - y = 190 - 155

      x = 35

Step 5:

Substitute x in equation 1 to find y

2x + y = 55

2(35) + y = 155

70  +  y = 155

  y = 155 - 70

   y = 85

4 0
2 years ago
-5x+y=6<br> -3x+6y=-12<br> Solving systems of equations by substitution
Yakvenalex [24]

if you isolate y in the top equation to get y=5x+6 then you can substiture y for 5x+6 in the bottom equation because thats what y equals

as of now you have -3x+6(5x+6)=-12 but if you use the distrubite property you would get -3x+30x+36=-12

then if you subtract 36 from both sides you would get -3x+30x=-48 then combine like terms to get 27x=-48 then divide both sides by 27 to get x=\frac{-48}{27} or x≈1.8

4 0
3 years ago
The length of a rectangle is 4 centimeters more than twice its width of the perimeter of the rectangle is 86centimeters find the
lana66690 [7]

Answer:

Width= 13 cm

length=30cm

Step-by-step explanation:

Let the length of the rectangle be 'L'

And the width of the rectangle be 'W'

Perimeter= 86 cm

According to the statement:

        Length= 2*Width+4\\L=2W+4

Perimeter of a rectangle= 2(Length+Width)

86=2(2W+4+W)\\86/2=3W+4\\43=3W+4\\3W=43-4\\3W=39\\W=39/3\\W=13 cm\\\\Length(L)=2W+4\\=2(13)+4=26+4=30 cm\\Length=30 cm

                               Width= 13 cm

                                length=30cm

6 0
2 years ago
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