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elena-14-01-66 [18.8K]
3 years ago
6

Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2

Mathematics
1 answer:
telo118 [61]3 years ago
5 0

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for <em>x</em>

  1. <u>Distribute 4:</u> 4x - 8 = 3x + 1
  2. <u>Subtract 3x on both sides:</u> x - 8 = 1
  3. <u>Add 8 to both sides:</u> x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

  1. <u>Substitute:</u> 4(9 - 2) = 3(9) + 1
  2. <u>Parenthesis (add):</u> 4(7) = 3(9) + 1
  3. <u>Multiply:</u> 28 = 27 + 1
  4. <u>Add:</u> 28 = 28
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First, calculate the area of the square, which is 25

next, find the area of one half of the triangle by multiplying 2.5 and 4 (10), then dividing that by 2 (5).

since the two half’s of the triangle are symmetrical, just add 5 and 5 to get 10.

add the area of the triangle (10) and the square (25) to get the total area.

the answer should be 35

hope this helps!
4 0
1 year ago
5. A life insurance policy costs $16.00 for every $1,000.00 of insurance. At
attashe74 [19]

Answer:

800.00

Step-by-step explanation:

so you give me a hint that was for every 16.00 it was 1000.00

i did 16x50=800

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3 years ago
6) A standard deck has 52 cards, and contains 13 cards of each of the four suits: diamonds, spades, hearts, and clubs. What is t
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Answer:

\dfrac{12}{51}\cong\dfrac{4}{17}

Step-by-step explanation:

You have 52 cards in a deck and 13 cards of each suit.

The probability of picking a diamond in a complete deck of cards is:

\dfrac {13}{52}

Or the probability is 13 put of 52.

Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:

\dfrac{12}{51}

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Help pls!! Which technique below will help you find the balance point or center of gravity?
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Answer:

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The Retread Tire Company recaps tires. The fixed annual cost of the recapping operation is $65,000. The variable cost of recappi
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Part a) Total Cost

Total Cost for recapping the tires is the sum of fixed cost and the variable cost. i.e.

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Part b) Total Revenue

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Total tires recapped = 15000

So, Total revenue = 15000 tires x $25/tire

Total Revenue =$375,000  

Part c) Total Profit

Total Profit = Revenue - Cost

Using the above values, we get:

Profit = $375,000 - $177,500

Profit = $197,500  

Part d) Break-even Point

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For break-even point

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Thus, on recapping 3714 tires, the cost will be equal to the revenue generating 0 profit. This is the break-even point.

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3 years ago
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