Given:
The equation is
[tex]\dfrac{???}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}[/tex]
To find:
The missing value.
Solution:
Let the missing value be k.
[tex]\dfrac{k}{x-2}/\dfrac{x^2-1}{x^2-4x+4}=\dfrac{5(x-2)}{x-1}[/tex]
[tex]\dfrac{k}{x-2}\times \dfrac{x^2-2(x)(2)+2^2}{x^2-1^2}=\dfrac{5(x-2)}{x-1}[/tex]
Using the formulae [tex](a-b)^2=a^2-2ab+b^2[/tex] and [tex](a-b)(a+b)=a^2-b^2[/tex].
[tex]\dfrac{k}{x-2}\times \dfrac{(x-2)^2}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}[/tex]
[tex]\dfrac{k(x-2)}{(x-1)(x+1)}=\dfrac{5(x-2)}{x-1}[/tex]
Cancel out the common factors from both sides.
[tex]\dfrac{k}{x+1}=5[/tex]
Multiply both sides by (x+1).
[tex]k=5(x+1)[/tex]
Therefore, the missing value is 5(x+1).
Simplify the compound fractional expression.
(x-(x/y) / (y-(y/x)
Answer:
The simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
Step-by-step explanation:
Simplify the fraction as shown:
[tex]\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }[/tex]
Take the LCM.
[tex]\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }[/tex]
Simplify,
[tex]\frac{xy-x}{y} \times\frac{x}{xy-y}[/tex]
[tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex]
Hence, the simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
A large manufacturing company models the number of workers it hired each year after 2010 using the function shown on the graph.
Answer:
350 and is not
Step-by-step explanation:
just took the test
Answer:350 and is not
Step-by-step explanation:
Tiara is making a new dance outfit. She will need 3 2/3 yards of fabric for a shawl. She also needs 1 3/5 yards of fabric for the dress. She is fortunate enough to already have 2 yards of fabric in her possession. If the current price for fabric is $6.75 per yard, how much money will she need to finish her dance outfit?
Answer: 22.05
Step-by-step explanation:
3 2/3 = 3 10/15
1 3/5 = 1 9/15
1 9/15 + 3 10/15 = 4 19/15 = 5 4/15
5 4/15 - 2 = 3 4/15
6.75 x 3 = 20.25
6.75 x 4/15 = 1.80
1.80 + 20.25 = 22.05
Hope this Helps!
(Let me know if you want me to explain how I did the 4/15 part!)
Sandra sets the cruise control in her car to 67 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?
Answer:
A. [tex]\frac{m}{65} = h[/tex]
I hope this helps!
write each precent as a fraction in simplest from. 2%=
Answer:
1/500
Step-by-step explanation:
Answer:
1/5 i think
Step-by-step explanation:
Melissa averages a rate of 1.5 steps per second while walking. How many steps will she take in an hour if this rate continues?
Answer:
5400
Step-by-step explanation:
1.5×60=90 steps per min
90×60=5400 steps per hour
4(1-x)+2x=-3(x+1) solve for X
Answer:
x=-7
Step-by-step explanation:
4(1-x)+2x=-3(x+1)
4-4x+2x=-3x-3
4-2x=-3x-3
-2x=-3x-7
x=-7
The reciprocal of - 4 3/4 is
Answer:
-4/19
Step-by-step explanation:
1. The first step to finding the reciprocal of -4 3/4 is to convert it into an improper fraction. To do that, multiply the -4 by the denominator, 4, and add the answer to the numerator, 3. The answer should come out to -19/4.
2. Now we have to find the reciprocal of -19/4 by flipping the denominator with the numerator, which is -4/19.
Write an equation of the line that passes through (2, 7) and (0, −5).
Answer:y=6x-5
Step-by-step explanation:
During game play, Juan threw 2 darts onto the board. Determine the likelihood of the scores Juan could get with his two throws. 4 or greater: 14: 16:
Answer: likely, impossible, unlikely
Step-by-step explanation:
i got it right
Answer:
Step-by-step explanation:
4 or greater:
likely
14:
impossible
16:
unlikely
What the area of 149m and 76m
Answer:
11324
Step-by-step explanation:
Area= B x H so 149 x 76= 11324
Answer:
The perimeter is 550 meters.
Step-by-step explanation:
The Insurance Institute for Highway Safety publishes data on the total damage suffered by compact automobiles in a series of controlled, low-speed collisions. The cost for a sample of 9 cars, in hundreds of dollars, is provided below: 10,6,8,10,4,3.5,7.5,8,9 (a) What is the median cost of the total damage suffered for this sample of cars? (b) What is the first quartile for the above data? (c) What is the interquartile range of the above data? (d) What is the mean of the total damage suffered for this sample of cars? (e) Using the correct units, what is the value of the variance?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the cost data: 10,6,8,10,4,3.5,7.5,8,9
A.) Median cost :
Sorted data:
3.5, 4, 6, 7.5, 8, 8, 9, 10, 10
0.5(n + 1)th term ; n = number of samples
0.5(9 + 1)th term
= 0.5(10)th term = 5th term
Median = 5th term = 8
B.) First quartile (Q1) :
0.25(n + 1)th term ; n = number of samples
0.25(9 + 1)th term
= 0.25(10)th term = 2.5th term
Q1 = (2nd term + 3rd term) / 2 = (4+6)/2 = 10/2 = 5
Q1 = 5
C.) interquartile range = (Q3 - Q1)
Q3 = 0.75(n + 1)th term ; n = number of samples
0.75(9 + 1)th term
= 0.75(10)th term = 7.5th term
Q3 = (7th term + 8th term) / 2 = (9+10)/2 = 19/2 = 9.5
Q3 = 9.5
Q3 - Q1 = (9.5 - 5) = 4.5
D.) Mean (μ) :
μ = ΣX / n
n = sample size
μ =(10+ 6 + 8 + 10+ 4 + 3.5 + 7.5 + 8 + 9) / 9
μ = 66 / 9
μ = 7.33
3.) Population variance (s²)
Σ(x - μ)² / n - 1
=[(10 - 7.33)^2 + (6 - 7.33)^2 + (8 - 7.33)^2 + (10 - 7.33)^2 + (4 - 7.33)^2 + (3.5 - 7.33)^2 + (7.5 - 7.33)^2 + (8 - 7.33)^2 + (9 - 7.33)^2] / 9
= 45.5001 / 8
= 5.687
what type of number is -16 square root
Answer:
Irrational Number
Step-by-step explanation:
The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.
Hope this helps (:
Answer:
Irrational number
Step-by-step explanation:
i had it on khan academy
Patricia and Emma work together. They both have the same amount of money invested in their portfolios. Their investments are listed in the table. Two months ago, the company Patricia and Emma work for started incurring losses, and now its share price has started falling. Which statement is correct given the scenario?
Patricia’s Investmentscompany stocks, bonds, mutual funds, domestic stocks, and international stocksEmma’s Investmentscompany stocks
A.
Patricia’s portfolio will be affected the most because she has too many assets in her portfolio.
B.
Emma’s portfolio will be affected the most because it is limited to company stock.
C.
Neither portfolio will be significantly affected because both have a good mix of assets.
D.
Both portfolios will be equally affected because both have an equal amount of company stock.
Answer:
I believe it would be B, hoped I helped :)
Step-by-step explanation:
The statement that is correct given the scenario is: B. Emma’s portfolio will be affected the most because it is limited to company stock.
PortfolioSince both of them have the equal money invested in their portfolios in which the company the both work for started incurring losses this tend to means that Emma portfolio will be affected the most by the loss that was incurred.
The reason why Emma portfolio will be most affected is because his portfolio is limited to the company stock compare to that of Patricia’s
Therefore the correct option is B.
Learn more about portfolio here:https://brainly.com/question/14986133
#SPJ2
what is the slope of (-3,4) (-2,0)
Answer:
m = − 4
Step-by-step explanation:
Use the slope formula to find the slope m
Hope this helps :)
Evaluate functions from their graph
Answer:
f(1) = 1
Step-by-step explanation:
To evaluate a function, you see the y value it gives when you plug in the x value.
When you plug in 1 for the x value, the y value is also 1, so f(1) = 1
Omar has a score of 12 in a bean bag toss game. On his next tuRn he gets -8 points. Use the bar model to write an addition sentence that shows Omar’s score now.
Answer:
12+-8=4
Step-by-step explanation:
this would be that same as 12-8=4, just keep the numbers but flip the negative into a positive number then change the equation into a subtraction problem if this confuses you.
ah
nsjakensnsjskdkdkdjjsjsjshshsjzjs
Answer:
Step-by-step explanation:
. It takes 11 widgets to assemble one motor. Your team can assemble four motors in one day. If you need to order parts for next week (5 working days), how many widgets should you order?
Number of widgets needed to make one motor = 11
Number of motors made each day = 4
Number of widgets used per day :-
= 4 × 11
= 44 widgets
Number of widgets I need to order for the next five days of the upcoming week :-
= 44 × 5
= 220 widgets
Therefore , my team should order 220 widgets for the next week ( 5 working days ) .
Answer:
Your answer should be 220 widgets
Step-by-step explanation:
Becasue if you have 11 in one motor and you build four a day then multiply 4 and 11 to get 44. Then you see that you get 44 widgets in a day you multiply 44 by the number of working days which is 5. So after multiplying you get 220 widgets per week.
Tell me if this is the correct answer
Jacob ordered 4 pizzas to be delivered.
Each pizza costs $12.75.
Jacob gave the driver an $8 tip when the pizzas were delivered.
Which of the following expressions could be used to determine Jacob’s total cost?
A. 4(12.75 + 8)
A., , 4(12.75 + 8)
B. 4(12.75 )+ 8
B., , 4(12.75 )+ 8
C. 4(8) + 12.75
C. , , 4(8) + 12.75
D. 4(12.75 − 8)
D. , , 4(12.75 − 8)
Answer:
give them brainliest
Step-by-step explanation:
estimated answer for 3 3/7 x 1 3/4 simplify and type a whole number
Answer:
6
Step-by-step explanation:
3 3/7 * 1 3/4
~Turn into improper fractions
24/7 * 7/4
~Multiply both numerators and denominators.
168/28
~Simplify
6
Best of Luck!
There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest form.
Answer:
1/4
Step-by-step explanation:
15 - 3 = 12
3 : 12
1 : 4
In its most basic form, the debate team's male-to-female ratio is 1/4.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
given, There are 15 students on the debate team. Of these, 3 are boys.
Since there are 3 boys out of 15
Thus,
Number of girl = 15 - 3
Number of girls = 12
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.
thus,
The ratio of boys to girls = 3/12
the Ratio of boys to girls = 1/4
therefore, the ratio of boys to girls on the debate team in simplest form is 1/4.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
Use this chart to help solve the problem.
Tonya's age (yr.)
Tonya's height (in.)
3
36.8
4
40
5
41.25
6
45
7
48.0
8
51.5
Tonya grew 2.25 more inches before her 9 year height was recorded. What is her height at age 9
written with the correct number of significant digits?
Answer:
Tanya's height at age of 9 is 53.75 inches
Step-by-step explanation:
Tonya's age (yr.) Tonya's height (in.)
3 36.8
4 40
5 41.25
6 45
7 48.0
8 51.5
Tanya's height at the age of 8 = 51.5
We are given that Tonya grew 2.25 more inches before her 9 year height was recorded.
So, Tanya's height at age of 9 = 51.5+2.25
Tanya's height at age of 9 =53.75 inches
Hence Tanya's height at age of 9 is 53.75 inches
There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible
Answer:
56 possible different subcommittees
Step-by-step explanation:
This is a combination problem.
In combination probability, the formula is;
nCr = n!/((n - r)! × r!)
Now, out of the 8 members on the board of directors, they now want to form a subcommittee of 3 members.
Thus, the different subcommittees possible is given by;
8C3 = 8!/((8 - 3)! × (3!)) = 56
Thus, there are 56 possible different subcommittees
Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamika plans on
bringing 712 pounds of homemade fudge to sell.
How many pieces of fudge will Tamika be able to sell at the carnival next Sunday?
Answer:
The answer is c. 5 5/8.
Step-by-step explanation:
Its c because your supposed to multiply them. When you multiply them you get 5 5/8. Hope this helped,have a great day!
Which ordered pair is in the solution set of the system of linear inequalities graphed below?
(0,2)
(2,4)
(-2,-4)
(-1,2)
Answer:
(0,2)
Step-by-step explanation:
a bag of trail mix contain 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds and 2 ounces of raisins. what is the ratio of ounces of peanuts to ounces of almonds? write the ratio in the three different ways?
9514 1404 393
Answer:
3 : 23/21.5Step-by-step explanation:
Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)
3 ounces of peanuts to 2 ounces of almonds can be written as ...
peanuts : almonds = 3 : 2 = 3/2 = 1.5
In the number 65.784, what place is the 7 in?
Answer: tenths
Step-by-step explanation:
Answer:
TENTHS
Step-by-step explanation:
HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW
Answer:
32ed
Step-by-step explanation:
Help asap thanks in advance
Answer:
a: 25200
b: -450
c: 56
d: 0<t<56
e: 0<t<25200
