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KatRina [158]
3 years ago
12

7x - 20 = 2x - 3(3x + 2)

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
6 0

Answer:

x=1

Step-by-step explanation:

7x - 20 = 2x - 3(3x + 2)

Distribute

7x -20 = 2x -9x -6

Combine like terms

7x-20 =-7x -6

Add 7x to each side

7x+7x-20 =-7x+7x -6

14x -20 = -6

Add 20 to each side

14x-20+20 =-6+20

14x = 14

Divide by 14

14x/14=14/14

x=1

svp [43]3 years ago
5 0

Answer:

7x-5x=2x

2x-20=3×2

3×2=6

6÷2=3

3+20=203

x=23

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DanielleElmas [232]
Given:
nine 5 pound bags 
distributed into 10-ounce bags

1 pound = 16 ounces

9 x 5 pounds = 45 pounds

45 pounds * 16 ounces/lbs = 45 * 16 oz = 720 ounces

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The workers at the food pantry will be able to make 72 bags.
3 0
4 years ago
A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Mkey [24]

Answer:

  • <u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

  • x: number of pens
  • y: number of pencils

<u>2. Cost</u>

  • <em>each pen costs</em> $1, then x pens costs: x
  • <em>each pencil costs</em> $0.5, then y pencil costs: 0.5y

  • Then, the total cost is: x + 0.5y

  • The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

  • x + 0.5(80 + x) = 220

ii) Solve

  • x + 40 + 0.5x = 220
  • 1.5x = 180
  • x = 180/1.5
  • x = 120 pens

iii) Substitute x = 120 into the equation (2)

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Solution: 120 pens and 200 pencils ← answer

6 0
3 years ago
Mae ling earns a weekly salary of $325 plus a 6.5% commission on sales at a gift shop. How much would she make in a work week if
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$325+6.5(4,800)
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3 0
3 years ago
There are 154 players on 11 teams . How many players are on one team
jarptica [38.1K]

Answer:

there are 14 on a single team

Step-by-step explanation:

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Or you can do this

11 • 14

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7 0
3 years ago
a game is played with tokens according to the following rule and each round the player with the most tokens gives one token to e
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Answer:

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8 0
3 years ago
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