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Llana [10]
2 years ago
8

Solve for the value of x: x/2 + x/3 = 2x/5 + 3 , also I need a very thorough explanation for this.

Mathematics
1 answer:
Alona [7]2 years ago
8 0

Answer:

x=\frac{90}{13} .

Step-by-step explanation:

\frac{x}{2} +\frac{x}{3} =\frac{2x}{5} +3;

30*(\frac{x}{2} +\frac{x}{3} )=30*(\frac{2x}{5} +3);

15x+10x=12x+90; ⇔ 13x=90;

x=\frac{90}{13}.

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Lynn's cruise lasted 6 day 18 hr. Convert the time to hours.<br> Provide your answer below:
8090 [49]

Answer:

162 hours

Step-by-step explanation:

1 day= 24 hours

24 times 6= 144

144 + 18= 162

8 0
2 years ago
Read 2 more answers
Carrie has $10 in a savings account. The interest rate is 10%, compounded annually.
ratelena [41]

Answer:

she will have 300 dollars

Step-by-step explanation:

8 0
3 years ago
Grover Elementary School is getting ready for the annual Penny Drive. The table below shows the target goals for the drive at th
Sever21 [200]

The slope of the function is $400.

<h3 /><h3>Definition of slope of a function</h3>

The slope of a function is the rate of change of the dependent variable with respect to the independent variable. The equation that represents a function is: y = mx + b

Where:

  • y = dependent variable
  • m = independent variable
  • x = slope
  • b = constant

Looking at the total money raised, the amount of money increases by 400. This is the slope.

To learn more about slope, please check: brainly.com/question/2491620

7 0
2 years ago
Assume that a computer was used to generate the given confidence interval for the population mean. Find the sample mean or margi
stealth61 [152]

Answer:

The sample mean is

b.3.55

The margin of error is

0.32

Step-by-step explanation:

Deep explanation about a confidence interval

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*215 = 353.675

The lower end of the interval is the mean subtracted by M. So it is 6.4 - 0.3944 = 6.01 hours.

The upper end of the interval is the mean added to M. So it is 6.4 + 0.3944 = 6.74 hours.

In this problem:

The deep explanation is not that important.

We just have to recognize that the interval has a lower end and an upper end. The distance from both the upper and the lower end to the mean is M. This means that the sample mean is the halfway point between the lower end and the upper end.

The margin of error is the distance of these two points(lower and upper end) to the mean.

In our interval

Lower end: 3.23

Upper end: 3.87

Sample mean

M = \frac{3.23 + 3.87}{2} = 3.55

So the correct answer is:

b.3.55

The margin of error is

3.87 - 3.55 = 3.55 - 3.23 = 0.32

4 0
3 years ago
A cell phone can receive 120 messages per minute. At this rate, how many messages can the phone recieve in 150 seconds
aev [14]
Hi, 

The answer would be 300 messages. To explain, there are 60 seconds in a minute so 120 divided by 60 is 2, so that means 2 words per second. So to get the answer for 150 seconds, you multiply 150 by 2 and get 300. 

I hope this helps!
7 0
3 years ago
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