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serg [7]
4 years ago
7

P is the midpoint of DE¯¯¯¯¯DE¯ , DP=3x+2DP=3x+2, and DE=10x−12DE=10x−12. What is the length of DP¯¯¯¯¯DP¯ ?

Mathematics
2 answers:
miss Akunina [59]4 years ago
5 0
3x+2 mulitiply by 2. you will get 6x+4 now put 10x-12 like so 6x+4=10x-12. then use like terms and subtract 6x from 10x. you will get 4x-12=4. then add 12 to cancel out then divide 16 by 4 and then x=4 then plug in 4 to replace x in 3x+2.
The answer is 14

Ne4ueva [31]4 years ago
3 0

Answer:

14 units

Step-by-step explanation:

done the topic

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Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need a
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Answer:

(Choice C) 24+12R ≤100

$56

Step-by-step explanation:

Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100 pieces of sushi in total. Sofia had already ordered and paid for 24 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders.

1)

Which inequality describes this scenario?

Choose 1 answer:

(Choice A) 12+ 24R ≤ 100

(Choice B) 12+24R ≥ 100

(Choice C) 24+12R ≤100

(Choice D) 24+12 ≥100

2)

What is the least amount of additional money Sofia can spend to get the sushi they need?

ans) ___ dollars

please solve fast !!!! thank you from advance :)

The sushi comes in rolls, and each roll contains 12 pieces and costs $8 Let R represent the number of additional rolls that Sofia orders

Sofia has ordered 24 pieces

Sofia needs 100 pieces

sushi comes in rolls

12 pieces per roll

= 12R

24 + 12R ≤ 100

(Choice C) 24+12R ≤100

B.

24 + 12R ≤ 100

12R ≤ 100 - 24

12R ≤ 76

R ≤ 76 / 12

R ≤ 6.33

Approximately 7 rolls

Sofia will order 7 more rolls

Each roll cost $8

R ≤ 7

7 × 8

= $56

5 0
3 years ago
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