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Maksim231197 [3]
2 years ago
15

Roger has to place cookies in plastic bags for a bake sale. He has 84 sugar cookies and 66 chocolate chip cookies. He wants to p

lace the same number of cookies in each bag, wants to make sure that only one type of cookie goes into each bag, and wants to put the most cookies he can in each bag. How many cookies should be in each bag
Mathematics
1 answer:
IceJOKER [234]2 years ago
6 0

Answer:

6 cookies

Step-by-step explanation:

Roger wants to place 84 sugar cookies and 66 chocolate chip cookies into plastic bags. Each bag must have the same number of cookies and only one type of cookie must be in each bag.

For the 84 sugar cookies:

number of cookies : 1    2     3      4      6     7      12      14      21     28    42    84

number of bags    : 84   42   28    21    14    12     7        6       4       3      2        1

For the 66 chocolate cookies:

number of cookies : 1       2      3       6      11       22     33      66

number of bags      : 66   33    22     11       6       3        2       1

The maximum common factor between 84 and 66 is 6.

Therefore 6 cookies should be placed in each bag. For sugar cookies, 6 cookies would be placed in each of the 14 bags while for the chocolate cookies, 6 cookies would be placed in each of the 11 bags.

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How many solutions does the following system have?<br> y= 5x + 8<br> y = 5x + 3
NARA [144]

Answer:

This system has no solutions.

Step-by-step explanation:

If we try to solve:

  1. 5x + 8 = 5x + 3
  2. 5x + 8 - 3 = 5x
  3. 5x + 5 = 5x
  4. 5x - 5x + 5 = 5x - 5x
  5. 5 = 0

Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.

Hope this helps!!

4 0
3 years ago
What are the possible values of x if (4x - 5)2 = 49? Check all that apply.<br> uw we we
kogti [31]

Answer:

x = - \frac{1}{2}, x = 3

Step-by-step explanation:

Given

(4x - 5)² = 49 ( take the square root of both sides )

4x - 5 = ± \sqrt{49} = ± 7 ( add 5 to both sides )

4x = 5 ± 7, thus

4x = 5 - 7 = - 2 ( divide both sides by 4 )

x = \frac{-2}{4} = - \frac{1}{2}

or

4x = 5 + 7 = 12 ( divide both sides by 4 )

x = 3

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = - \frac{1}{2}

left side = (- 2 - 5)² = (- 7)² = 49 = right side ⇒ solution

x = 3

left side = (12 - 5)² = 7² = 49 = right side ⇒ solution

7 0
3 years ago
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mestny [16]

Answer: 5 times 5 plus 11 plus 11

Step-by-step explanation:

Creating an algebra problem that equals to 47.

5 times 5 is 25

25 plus 11 is 36

36 plus 11 is 47

6 0
3 years ago
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What is the length of the side opposite the 60 degree angle?
yaroslaw [1]
All triangles equal 180 so the answer would be set up as follows:
180-60-90 (right triangle) = 30 degrees
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4 0
3 years ago
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Use the distributive property to remove the parentheses -9(-4x+3w-1)
Margarita [4]

Answer:

36x - 27w + 9

Explanation:

Multiply the outside by everything on the inside

7 0
3 years ago
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