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BlackZzzverrR [31]
2 years ago
9

Simplify the following algebraic expression: 2 (2x + 3y) + 3 (5 – 2x) +1+y

Mathematics
1 answer:
Gnoma [55]2 years ago
5 0

Answer: -2x+7y+16

Step-by-step explanation:

1. Distribute 2 through the parentheses

  • 4x+6y+3(5-2x)+1+y              
  • 4x+6y+15-6x+1+y

2. Collect like terms

  • -2x+6y+15+1+y  
  • -2x+7y+15+1
  • -2x+7y+16

3. Solution, -2x+7y+16

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The United States five-dollar bill are 155.956 mm long and 66.294 wide. A stack of these bills fits inside a 156 x 66.3 x 66.3 m
maxonik [38]

Answer:

A) $5 × 25 = $75

B) 37.69%

Step-by-step explanation:

The dimension of five dollar bill:

Length = 155.956mm

Width = 66.294

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

Dimension of box :

156 x 66.3 x 66.3 mm

If volume of the 5—dollar bill is 258,473.68mm^3

Then, the Thickness of the five dollar stack equals :

Volume = Length × width × height

258,473.68mm^3 = 155.956mm × 66.294 × height

258,473.68 = 10338.947064 × h

h = (258473.68/10338.947064)

h = 25.000000003288 = 25

Therefore, the amount of money in the box is:

$5 × 25 = $75

Percentage of box volume taken up by $5 bill

Volume of the box:

156 x 66.3 x 66.3 mm = 685727.6399mm^3

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

(258,473.68 / 685727.6399) × 100

=37.69%

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3 years ago
A local grocery store is running a marketing promotion on social media. They are randomly choosing a winner from the entrants th
AlladinOne [14]

Using it's concept, it is found that the odds that the winner shops in the store 4 or more times a week are given by: 9:41.

<h3>What is the odd of an event?</h3>

It is given by the <u>number of desired outcomes divided by the number of non-desired outcomes</u>.

Researching the problem on the internet, it is found that 18% of the winners shop in the store 4 or more times a week, while 82% do not, hence:

18:82 = 9:41

The odds that the winner shops in the store 4 or more times a week are given by: 9:41.

More can be learned about odds at brainly.com/question/25683609

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Step-by-step explanation:

because length times with

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