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alexira [117]
3 years ago
5

3(4x+2)-6x=5x-5(2+x) please solve show your work do not solve for x​

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

  • simplifies to 6x+6=-10
  • x = -8/3 = -2 2/3

Step-by-step explanation:

3(4x+2)-6x=5x-5(2+x)

12x +6 -6x = 5x -10 -5x . . . . . eliminate parentheses using the distributive property

6x +6 = -10 . . . . . . . . . . . . . . . collect terms

x +1 = -10/6 . . . . . . . . . . . . . . . divide by 6

x = -1 - 5/3 . . . . . . . . . . . . . . . add -1

x = -8/3 . . . . . . . . . . . . . . . . . simplify

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Bob and joe have a class together at Kensington college. They leave the class at the same time. Bob goes to the library at 4 mil
galben [10]

Solution

For this case we can create the following schema

We can use the definition of distance:

x= vt

We can find the relative velocity:

V_{\text{rel}}=4-2=2\frac{mi}{hr}

And the distance between both is required to be 2 mi so then we can find the time like this:

t=\frac{x}{v_{\text{rel}}}=\frac{2mi}{\frac{2mi}{hr}}=1hr

Then the answer is:

1 hr

5 0
1 year ago
The CFO of the company believes that an appropriate annual interest rate on this investment is 4%. What is the present value of
hodyreva [135]

Find attached the missing cash flow stream

Answer:

  • <u><em>Present value = $1,685,334 (rounded to the nearest whole)</em></u>

Explanation:

Since the <em>cash flow stream</em> is <em>uneven</em>, you must discount each stream individually and after you have discounted every stream you can add each preset value to find the net present value.

The formula for <em>present value</em> is:

               \text{Present Value} = \dfrac{\text{Future Value}}{(1+r)^n}\\\\\  Where:\\ \\ r = \text{Rate of return=interest rate}\\ \\ n = \text{Number of periods}

<u>1. Year 1:</u>

  • Future value = $250,000
  • r = 4%
  • n = 1

Present\text{ }value=\$250,000/(1+0.04)^1=\$240,384.62

<u>2. Year 2:</u>

  • Future value = $20,000
  • r = 4%
  • n = 2

Present\text{ }value=\$20,000/(1+0.04)^2=\$18,491.12

<u>3. Year 3:</u>

  • Future value = $330,000
  • r = 4%
  • n = 3

Present\text{ }value=\$330,000/(1+0.04)^3=\$293,368.80

<u>4. Year 4:</u>

  • Future value = $450,000
  • r = 4%
  • n = 4

Present\text{ }value=\$450,000/(1+0.04)^4=\$384,661.89

<u>5. Year 5:</u>

  • Future value = $550,000
  • r = 4%
  • n = 5

Present\text{ }value=\$550,000/(1+0.04)^5=\$452,059.91

<u>6. Year 6:</u>

  • Future value = $375,000
  • r = 4%
  • n = 6

Present\text{ }value=\$375,000/(1+0.04)^6=\$296,367.95

Total present value = $240,384.62 + $18,491.12 + $293,368.80 + $384,661.89 + $452,059.91 + $296,367.95 + $ 296,367.95

Total present value = $1,685,334.29 = $ 1,685,334

6 0
3 years ago
Tony writes an equation to represent the distance he walks in meters, d, in relation to the number of minutes he walks, m. d = 1
liraira [26]
Tony : d = 108m.....so Tony walks 108 meters per minute

Mark :
(10,1100),(20,2200)
slope = (2200 - 1100) / (20 - 10) = 1100/10 = 110 meters per minute

So Tony's walk speed is 2 meters per minute slower then Tony's walk speed
6 0
4 years ago
Read 2 more answers
The mean score of 8 players is 14.5. If the highest individual score is removed the mean of the score of the remaining 7 players
AfilCa [17]

Answer:

The highest score is 32.

Step-by-step explanation:

We are given the following in the question:

The mean score of 8 players is 14.5.

Let x denote the highest score.

If x is removed, the mean of the score of the remaining 7 players is 12.

Formula for mean:

\bar{x} = \dfrac{\displaystyle\sum x_i}{n}

Putting values, we get:

14.5 = \dfrac{\displaystyle\sum x_i}{8}\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = \dfrac{\displaystyle\sum y_i}{7}\\\\\Rightarrow \displaystyle\sum y_i  = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32

Thus, the highest score is 32.

4 0
4 years ago
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Papessa [141]
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