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uranmaximum [27]
3 years ago
8

Solve the equation 4(2x + 1) = 6x − 12.

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

x = - 8

Step-by-step explanation:

Here we are given a linear single variable equation of x and we have to solve it.

Now, the equation is 4(2x + 1) = 6x - 12

⇒ 8x + 4 = 6x - 12 {By distributive property of multiplication}

⇒ 8x - 6x = - 12 - 4

{Separating the x terms to one side and the constant terms to the other side}

⇒ 2x = - 16

⇒ x = - 8 {Dividing both sides by 2} (Answer)

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Formula for profit percentage?​
ruslelena [56]

Answer:

For instance, say you pay $8,000 for goods and sell them for $10,000. Your gross profit is $2,000. Divide this figure by the total revenue to get your gross profit margin: 0.2. Multiply this figure by 100 to get your gross profit margin percentage: 20 percent.

Step-by-step explanation:

7 0
3 years ago
A toxic radioactive substance with the density of 4 mg/cm² is detected in the been detected in the ventilating ducts that was us
Kruka [31]
The formula for half-life is:

A = P(0.5)^{t/h}

A is the amount remaining, P is the initial amount, t is the time that has passed, and h is the half-life of the substance.  Plug in the values that you know and solve:

4 = P(0.5)^{35/20} \\ \\ 4 = P(0.5)^{1.75} \\ \\ P = \frac{4}{0.5^{1.75}} \\ \\ P \approx 13.4543426441

Rounded to the nearest whole number, the density of the substance was about 13<span>mg / cm².</span>
8 0
3 years ago
The ordered pair (2, 36) is a solution for which equation(s)? Check all that apply.
makvit [3.9K]
Plug it into each equation and see if both sides are equal:
A. 36 = (2+4)^2 -> 36 = 36 works
B. 36 = 7(2)^2 +2 -> 36 = 30 doesn't work
C. 36 = (3(2))^2 -> 36 = 36 works
D. 36 = 2(2)^2 -> 36 = 8 doesn't work
6 0
3 years ago
An amusement park has two merry-go-rounds. The first merry-go-round has a platform with a diameter of 13 meters and the second m
Zinaida [17]

Answer:

  • <em>The larger merry-go-round's platform is </em><u>   151m²   </u><em> larger than the smaller merry-go-round's platform.</em>

Explanation:

The<em> area </em>of a round shape is equal to the area of a circle.

The formula for the area of a circle is:

  • Area = π × radius²

Then, use that formula for each merry-go-round.

<em><u>1. First merry-go-round</u></em>

<em />

  • diameter = 13m
  • radius = diameter / 2 = 13m / 2 = 6.5m
  • area = π (6.5m)² = 3.14 × (6.5m)² = 132.665m²

<em><u>2. Second merry-go-round</u></em>

  • radius =9.5m
  • area = π (9.5m)² = 3.14 × (9.5m)² = 283.385‬m²

<u />

<u>3. Difference of the areas</u>

<u />

  • Larger area - smaller area = 283.385m² - 132.665m² = 150.72m²

  • Round to the nearest whole number: 151m².

Hence, the larger merry-go-round's platform is 151m² larger than the smaller merry-go-round's platform.

3 0
3 years ago
Anytown households that earn more than $75,000 tend to buy sports equipment, while households that earn less than $75,000 tend t
DochEvi [55]

Answer: An Electric Store

Step-by-step explanation: Hoped This Helped! Thx For The Points!

3 0
3 years ago
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