John took all his money from his savings account. He spent $108 on a radio and 5/9 of what was left on presents for his friends. Of the money remaining, John put 5/6 into a checking account and the last remaining $80 was left to charity. How much money did John originally have in his savings account?
Answer:
I believe its 313$
Step-by-step explanation:
John originally have $1,118 in his savings account.
Here,
We have to find the original savings account of John.
What is Number system?
A system of writing to express numbers is called Number system.
Now,
Let us assume amount of money John originally have in his savings account = $x
Money spent on a radio = $108
Remaining money = x - 108
Money spent on presents for his friends = Two third of remaining money = 5/9 (x - 108).
(Because 1 - 5/9 = 1/1 - 5/9 = 4/9)
Remaining money = 4/9 (x - 108).
Five sixth of his remaining money into a checking account = 5/6 * 4/9(x - 108)
( because 1 - 5/6 = 1/1 -5/6 = 1/6)
Remaining money = 1/6 *4/9 (x - 108).
Final remaining money = 1/6 *4/9 (x - 108)
And that is equal to the money donated to charity.
We can setup an equation now.
1/6 *4/9 (x - 108) = 80
4(x - 108) = 80 * 9 *6
x - 108 = 20 * 54
x = 1080 + 108
x = 1,188
Therefore, John originally have $1,118 in his savings account.
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for the function f(x)=4/3x+8, what is the average rate of change over any given interval
a. 4
b. 3
c. 4/3
d. 3/4
Answer:
C i think i hope it helps
have a good night
write 10075302 in words in both the Indian system and international system and rearrange the digits to get the smallest number
Answer:
answer
Step-by-step explanation:
1,00,75,302= One crore seventy five thousand three hundred two
Rearranging the digits,
Largest number = 7,53,21,000
Smallest number = 1,00,02,357
The sum of 10 and hans savings is 49. Use the variable h to represent Hans savings.
Answer:
39 I believe. The question is a little confusing.
Step-by-step explanation:
49-10=h 39=h
Not sure if this is what you want the question is worded weirdly.
How many DVDs would they each have if they continued the same pattern for ten ADDITIONAL weeks.
Answer:
figure it out
Step-by-step explanation:
An airplane takes 3 hours to travel a distance of 1560 miles with the wind. The return trip takes 4 hours against the wind. Find the speed of the plane in still air and the speed of the wind.
Answer:
it takes 3 hour
Step-by-step explanation:
ypir welcome
I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?
Answer:
2.5hrs
Step-by-step explanation:
Please help!! Due in 45 minutes.
Answer:
[tex]x = \frac{56}{9} , y =-\frac{26}{3}[/tex]
Step-by-step explanation:
Calculator work :)
PLEASE HELP IMMEDIATELY!!
Answer:
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Step-by-step e.xplanati:kljkjk
need help!! I don't know how to solve theseeeeeeeeeeeeeeeeeeeeeeeeeeee.
A television screen is 7 inches tall and 10 inches wide. What is its area?
Answer:
70 inches^2
Step-by-step explanation:
7x10=70
What is the measure of DEF
The calculated measure of the arc DEF is 204 degrees
Calculating the measure of arc DEFFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of the arc intercepted by the angle DEF is calculated as
Arc DF = 2 * DEF
When the given values are substituted in the above equation, we have the following equation
Arc DF = 2 * 78
So, we have
Arc DF = 156
The measure of arc DEF is then calculated as
Arc DEF = 360 - 156
Evaluate
Arc DEF = 204
Hence, the measure of the arc DEF is 204 degrees
Read more about angles at
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What transformation has changed the parent function f(x) = (.5)* to its new
appearance shown in the graph below? (1 point)
Answer:
Vertical compression by a factor of ¼Step-by-step explanation:
[Transformed] f(x) = ¼(.5)ˣ
[Original] f(x) = (.5)ˣ
____________________
I determined this transformation by comparing the notable points on the graph.
When x = -2 for the original function f(x), y = 4.
For this transformed graph y = 1 instead of 4.
Therefore y is scaled by ¼, and so that is the vertical compression.
A mayoral candidate in a large metropolitan area has hired you to take a poll to determine the proportion of registered voters who plan to vote for him. He would like you to report a 95% confidence interval with a margin of error no more than 0.04. Whiat is the smallest sample size that will produce an interval with these specifications?
Answer:
The smallest sample size that will produce an interval with these specifications is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
He would like you to report a 95% confidence interval with a margin of error no more than 0.04. What is the smallest sample size that will produce an interval with these specifications?
We have to find n for which M = 0.04.
We dont know the true proportion, so we use [tex]\pi = 0.5[/tex], which is when the smallest sample size needed will have it's largest value.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up
The smallest sample size that will produce an interval with these specifications is 601.
Help ASAP! BRAINLIEST!
Answer:
C
Step-by-step explanation:
Miami rainfall: 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02
Tampa rainfall: 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9
25.02 - 18.9 = 6.12
Miami gets more rainfall by 6.12 more inches
Have a great day! :)
Obtain the general solution:
(x-y)(4x+y)dx + x(5x-y)dy = 0
Answer:
y=2x
y=-x
d=0
Step-by-step explanation:
sorry iam not sure i just tray to help
Draw a line tangent to the circle at the point (0, 4). Write an equation for this tangent line. Explain your work.PLEASE HELP
Answer:
y = 1/4x + 4
Step-by-step explanation:
An expression is shown below:
2x3y + 8xy − 4x2y − 16y
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Plz help, give good answer and get brainlest!!
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
Mr. Newman owns a sporting good store. He got a shipment of 49 baseball bats. 21 of them were wooden bats, and the rest were aluminum. What fraction of the bats were wooden?
Fill in the answer in simplest form.
Answer:
3/7
Step-by-step explanation:
The given graph represents the function f(x) = 2(5)^x
[tex]f(x) = 2( {5})^{x} [/tex]
How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0
a) the graph will increase at a slower rate
b) the graph will show a decreasing, rather than increasing, function
c) the graph will show an initial value that is lower on the y-axis
d) the graph will increase at a constant additive rate, rather than a multiplicative rate
Answer:
C
Step-by-step explanation:
in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)
Answer:
Step-by-step explanation:C
A Packaging Company produces boxes out of cardboard and has a specified weight of 16 oz. A random sample of 36 boxes yielded a sample mean of 15.3 oz. Given the standard deviation is 1.7 oz, obtain a 99% confidence interval for the true mean weight of the boxes. Interpret your results in the context of the problem. State the margin of error.
Answer:
The margin of error is of 0.73 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{1.7}{\sqrt{36}} = 0.73[/tex]
The margin of error is of 0.73 oz.
The lower end of the interval is the sample mean subtracted by M. So it is 15.3 - 0.73 = 14.57 oz.
The upper end of the interval is the sample mean added to M. So it is 15.3 + 0.73 = 16.03 oz.
The 99% confidence interval for the true mean weight of the boxes is between 14.57 oz and 16.03 oz. This means that we are 99% sure that the true mean weight of all boxed produced by the Packaging Company is between these two values, and that the specified weight is in this interval.
PLEASE HELP ITS DUE TODYA PLEASE HELP!!!!!!!
Answer:
AC = 7.8 cm
Step-by-step explanation:
AE² = 6² - 3² = 36 - 9 = 27
AE = √27 = 5.196
EC² = 4²- 3² = 16 - 9 = 7
EC = √7 = 2.646
AC = 5.196 + 2.646 = 7.84 cm
PLEASE HELP
BRAINLIEST
NO FILE HOSTING LINKS!!
Answer each part. If necessary, round your answers to the nearest hundredth.
Answer:
a) 11/7 pages or about 1.57
b) 23/11 dollars or 2.09090909....... (goes on forever)
BRAINLIEST PLS
what is the distance between the points (-7,3) and (4,-5)
Answer:
The distance is 185 between the points (-7,3) and (4,-5)
Step-by-step explanation:
Answer:
Hi! The answer to your question is [tex]\sqrt{185}[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Help please due in 45 minutes!!
Answer:
x=4, y=5
Step-by-step explanation:
Download photo math and take a picture of it
An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675, which test would you use
Answer:
One sample t test
Step-by-step explanation:
A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :
Test statistic = (xbar - μ) ÷ (σ/sqrt(n))
Where, xbar = sample mean ;
μ = population mean
σ = population standard deviation
n = sample size
Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 470 - 50x
Step-by-step explanation:
Total distance minus the distance covered in n number of hours if the speed is 50 mph.
help pls giving branliest
Answer:
https://youtu.be/TZbTr1oBwKU
How to simplify this expression?
(12^15+12^30-12^49)/(-12^28+12^47-(144^6)/12)
Express the answer as 12^?.
Hint: You have to factor 12^? from the top or bottom so that the expression becomes x/(12^?)(x) or (12^?)(x)/x. Then the x should cancel out, and you get 12^? as the answer.
Thanks!!
Answer:
[tex]12^-^2[/tex]
Step-by-step explanation:
I hope this helps.
someone help me please like mega pleaseee help a girl out
Answer:
B.
Step-by-step explanation: