I will give you brainliest whoever answers correct first !!
Answer:
34.4
Step-by-step explanation:
(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4
Suppose 7x-5 M=- 3 x-8 and NE 2 2 x - 5 x - 50 X - 14 x +40 and you want to add the fractions M and N, in other words you want to compute 7x-5 3 x - 8 2 x - 5 x - 50 x - 14 x + 40 and simplify the result. We know that, before you can add the fractions, you must find a common denominator and rewrite each fraction so it has that common denominator. Once the rewritten fractions have the same denominator, you can add them and simplify the result.
There are four text boxes below. In the first text box, enter a common denominator for the two fractions. In the second text box, rewrite M so that it possesses the common denominator you found. Note that your entry in this text box should equal M, however it should have the common denominator you found. In the third text box, rewrite N so that it possesses the common denominator you found. In the last text box, compute your simplified answer for M N . Make sure that your answer is simplified; the numerator and denominator of your answer for M N should not have common factors. Note that your entry for the common denominator should be a polynomial with integer coefficients. Your other three entries should be fractions that contain polynomials. All of your answers should contain no letters other than the variables that appear in M and N. Do not include an equals sign with any of your answers. All of your expressions should be mathematically correct and not contain non-mathematical symbols. After entering your answers, click the Save Answer button. Your computer will display how your answers were interpreted, and you will have the opportunity to accept these answers or modify them.
Enter a common denominator for M and N here:
Enter M rewritten here:
Enter N rewritten here:
Enter your simplified result here:
Answer:
[tex](a)[/tex] [tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
[tex](b)[/tex] [tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
[tex](c)[/tex] [tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
[tex](d)[/tex] [tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
Step-by-step explanation:
Given
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Solving (a): A common denominator of M and N.
To do this, we simply get the LCM of both denominators
[tex]M = x^2 - 5x - 50[/tex]
[tex]N = x^2 - 14x + 40[/tex]
Factorize both:
[tex]M = (x - 10)(x + 5)[/tex]
[tex]N = (x- 10)(x - 4)[/tex]
The LCM is
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
Hence, the common denominator is:
[tex]Denominator= (x - 10)(x+5)(x-4)[/tex]
Solving (b): Rewrite M
[tex]M = \frac{7x - 5}{x^2 -5x - 50}[/tex]
Factor the denominator:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of M by (x - 4)
The expression becomes:
[tex]M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}[/tex]
[tex]M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}[/tex]
Solving (c): Rewrite N
[tex]N = \frac{3x - 8}{x^2 -14x+ 40}[/tex]
Factor the denominator:
[tex]N = \frac{3x - 8}{(x-4)(x-10)}[/tex]
The LCM calculated in (a) above is:
[tex]LCM= (x - 10)(x+5)(x-4)[/tex]
So, we have to multiply the numerator and denominator of N by (x + 5)
The expression becomes:
[tex]N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}[/tex]
[tex]N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
(d) Solve M + N
[tex]M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}[/tex]
Take LCM
[tex]M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}[/tex]
Open brackets
[tex]M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}[/tex]
Collect Like Terms
[tex]M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}[/tex]
[tex]M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}[/tex]
SOMEONE PLEASE GIVE ME THE CORRECT ANSWER AND ILL MARK BRAINLY
Answer:
The answer is 60 minutes.
Step-by-step explanation:
12 * 5 = 60
15 * 4 = 60
10 * 6 = 60
PLEASE HELP WILL GIVE BRAINLIEST "Find the value of f, correct to two decimal places."
Answer:
5.93 is the answer....
Hope it helps!!!
A college student takes the same number of credits each semester. She had 12 credits when she started, and after
semesters, she had 96 credits.
Which of these expresses the rate at which she is earning credits?
Answer:
The student obtains his 12 credits each semester during 8 semesters.
Step-by-step explanation:
Since a college student takes the same number of credits each semester, and she had 12 credits when she started, and after
semesters, she had 96 credits, to determine the rate at which she is earning credits, the following calculation must be performed:
96/12 = 8
Thus, the student obtains his 12 credits each semester during 8 semesters.
find the value of u in paralellogram
Answer:
34
Step-by-step explanation:
2u=u+34
2u-u=34
u=34
Answer:
Step-by-step explanation:
2u = u + 34
u = 34
Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?
Answer: M = -20w + 450
Step-by-step explanation:
M = -20w + 450
450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.
HELP PLEASE IT'S DUE
Answer:
1) no solution
2) no solution
Step-by-step explanation:
7(2 + 5v) = 3v +14
14 + 35v = 3v + 14
The 14s cancel each other out.
35v ≠ 3v
no solution
36 - 7p = -7(p - 5)
36 - 7p = -7p + 35
The -7s cancel each other out.
36 ≠ 35
no solution
Mrs. Bentiez earns $3,400 every month. She spends 25% of her earnings on rent and saves 12% on food, she saves the rest of her money. How much does Mrs. Bentiez save each month?
Answer:
$2244
Step-by-step explanation:
Sue has four DVDs and Terry has six DVDs. They
put all their DVDs together and sold them for $10
for two DVDs. How much money will they earn if
they sell all of their DVDs?
Answer:
$50
Step-by-step explanation:
4+6=10/2=5*10=50
the sum of the ages of tracy and her mother is 60 if tracys present age is y years write a linear expression for her mothers age after 5 years
Answer:
Step-by-step explanation:
m = 60-y
m+5 = 65-y
-17-x=8 pls answer bc I'm deparet
Answer:
x= -25
Step-by-step explanation:
Do 8 plus 17=25
x must be positive so -25
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of equations or inequalities that models the situation.
Define the variables you use.
Answer:
10/20
Step-by-step explanation:
$15 for 10 hours and $20 for 10 hours
please help on this question i will give u brainliest:
Mr. Ramirez informs the students that some of the trees they plant will not survive their first year, so the class will take precautions to monitor the trees to give them the best chance of survival.
Abby does some research and finds that, on average, 3 out of every 25 trees planted will die their first year.
Answer:
smalls
Step-by-step explanation:
PLEASE HELP CHECK MY ANSWER ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY! PLEASE EXPLAIN HOW I AM CORRECT!
Answer:
√13
Yes you are right
Step-by-step explanation:
The law of cos again
BC^2 = 18 + 25 - 2 * 3√2 * 5 cos(45 degrees)
= 13
==>
BC = √13
Answer:
yes the answer is correct
find the perimeter of the shape below
Answer:
It doesn't show the whole picture
Step-by-step explanation:
I NEED HELP WORTH THIS there is one more option of 6,6 also
Answer:
C. (2,4)
Step-by-step explanation:
Let's say we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking a yellow marble, keep it, and then
picking a blue marble?
A 1/12
B 1/30
C 1/36
D 1/11
hi besties if you are looking for 50+ brainiest bonus points and brainiest answer this question correctly plz
Answer: Well if you do 325 ÷ 2/5 = 130. If you try process of elimination with the numbers you’d get the right answer! Like there’s no way you could do 325 - 2/5 cause you’d get 324.6, and adding it you’d get 325.4 so your only thing left to do is multiply :)
Step-by-step explanation:
Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?
1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg
He used 7/27 kg of sugar.
Adam has 1/2 quart of milk. If he pours the same amount if milk into 3 glasses. How many quarts of milk will each glass have?
Adam tiene 1/2 cuarto de litro de leche. Si vierte la misma cantidad si la leche en 3 vasos. ¿Cuántos cuartos de leche tendrá cada vaso
Answer:
3/2 or 1 1/2
Step-by-step explanation:
So 1/2 * 3 = 3/2 or 1.5 which as a fraction simplified is 1 1/2. Hope that helps!
A person places $13900 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer
hmm
Step-by-step explanation:
Answer:Can u explain more i odnt understand it pelase
Step-by-step explanation:
PLEASE HELP ME ANSWER THIS QUESTION!!! Last question!!
Answer:
you got this
Step-by-step explanation:
trust your instincts so that way you may succeed in your collage
Answer
Angle 1=112 degrees
Step-by-step explanation:
Aight so we know angle 1 nd 2 equals 180 degrees, and because of some theorem with lines, angles 2 and 4 are both alternate exterior angles which means they are the same.
So if angle 4=5x+13
and angle 1=10x+2
and together they make 180, this should be your equation:
5x+15=180
simplify to get x=11
then since 1 =10x+2
multiply 11 by 10 then add 2
and your final answer should be 112 degrees
hope this helps
Danielle said she read 1/2 of a book select all the fractions that are equivalent to 1/2
A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.
Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
What is confidence interval ?confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Here given that 95% confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
To learn more about confidence interval visit :
https://brainly.com/question/15712887
For a cat that weighs 15 pounds, rank the following scale weights from least
accurate to most accurate.
15.10 pounds
13.9 pounds
16.2 pounds
15.01 pounds
Answer:
16.2 pounds (least accurate)
13.9 pounds (2nd least accurate)
15.10 pounds (2nd most accurate)
15.01 pounds (most accurate)
Step-by-step explanation:
I hope this helps :)
Answer:
16.2 pounds
13.9 pounds
15.10 pounds
15.01 pounds
What is the initial value of the equation shown? (1 point) y = −7x − 6 −13 −7 −6 −1
Answer:
-6
Step-by-step explanation:
The equation is y = -7x - 6.
The initial value is found when x = 0.
y = -7(0) - 6
y = 0 - 6
y = -6
Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm
Any help anyone? Running out of time
- Calculate the median and range
of the data in the dot plot. Then
compare the results to the dot
plot for Exercise in Example 2.