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myrzilka [38]
3 years ago
11

A bakery packages cookies in two sizes of boxes, one with 18 cookies and the other with 24 cookies. A small number of cookies ar

e to be wrapped in cellophane before they are placed in a box. To save money, the bakery will use the same size cellophane packages for each box. How many cookies should the bakery place in each cellophane package to maximize the number of cookies in each package?
Mathematics
1 answer:
Sliva [168]3 years ago
5 0
I believe 24 because that is the makimum and the biggest box
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I’m confused on this one
Mashutka [201]

Greetings!

The formula for the area of any triangle is as followed:

A_{triangle}=\frac{bh}{2}

-------------------------------------------------------------------------------------------------------------

<u>Let Statements:</u>

Let the variable...

→ b represent the length of the base of the triangle

→ h represent the length of the height of the triangle

-------------------------------------------------------------------------------------------------------------

Using the information provided from the question, we can substitute its values in place of the variables and solve for the last remaining variable:

10=\frac{(4)(x+3)}{2}

Distribute the parenthesis<em> (The Distributive Property) </em>:

10=\frac{((4)(x)+(4)(3))}{2}

10=\frac{4x+12}{2}

Reduce the fraction to lowest terms:

10=2x+6

Add -6 to both sides of the equation:

(10)+(-6)=(2x+6)+(-6)

4=2x

Divide both sides of the equation by 2:

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

2=x

-------------------------------------------------------------------------------------------------------------

The Answer to this Problem is:

\boxed{x=2}

-------------------------------------------------------------------------------------------------------------

I hope this helped!

-Benjamin

5 0
3 years ago
In the diagram below of triangle EFG, H is a midpoint of EF and J is a midpoint
Korolek [52]

Answer:

14

Step-by-step explanation:  2(4x+6)=

\,\,34-3x

34−3x

Since HJ is a midsegment, twice HJ is equal to EG.

8x+12=

8x+12=

\,\,34-3x

34−3x

Distribute.

8x+12=

8x+12=

\,\,-3x+34

−3x+34

Communicative property to change the order

\color{red}{+3x}\phantom{+12}\phantom{=}

+3x+12=

\,\,\color{red}{+3x}\phantom{+34}

+3x+34

+3x to both sides.

11x+12=

11x+12=

\,\,34

34

\phantom{11x}\color{red}{-12}\phantom{=}

11x−12=

\,\,\color{red}{-12}

−12

-12 to both sides.

11x=

11x=

\,\,22

22

\frac{11x}{11}=

11

11x

​  

=

\,\,\frac{22}{11}

11

22

​  

 

Divide both sides by 11

x=

x=

\,\,2

2

Value of x

HJ=

HJ=

\,\,4x+6

4x+6

Value of HJ

HJ=

HJ=

\,\,4(2)+6

4(2)+6

Plug in x.

HJ=

HJ=

\,\,8+6

8+6

Multiply.

HJ=

HJ=

\,\,14

14

8 0
3 years ago
Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?​
Troyanec [42]

Answer:

106

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
How do you solve 5n-16-8n=-10
Airida [17]
-3n=26
n=26/3
It is the fraction form.
6 0
3 years ago
Bethany is 62 in tall Bethany's brother scott is 3 inches taller than her she is write Scott's height in feet and inches
MrRissso [65]
Scott is 62+3=65 inches tall, and there are 12 inches in a foot, so you get 65/12=about 5 whole feet. 5 whole feet is 60 inches in total, so we have a leftover 5 inches, meaning that Scott is 5 feet and 5 inches tall.
8 0
3 years ago
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