which expression is equivalent to the following complex fraction?
(pls help me out)
Answers
Answer:
B. [tex] \frac{-4x + 7}{2(x - 2)} [/tex]
Step-by-step explanation:
Simplify the given expression to determine its equivalent expression in the given options.
[tex] \frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}} [/tex]
[tex] \frac{\frac{3}{x - 1} - \frac{4}{1}}{\frac{2}{1} - \frac{2}{x - 1}} [/tex]
[tex] \frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}} [/tex]
[tex] \frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}} [/tex]
[tex] \frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}} [/tex]
[tex] \frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4} [/tex]
(x - 1) cancels (x - 1)
[tex] \frac{-4x + 7}{1} * \frac{1}{2x - 4} [/tex]
[tex] \frac{(-4x + 7)1}{1(2x - 4)} [/tex]
[tex] \frac{-4x + 7}{2x - 4} [/tex]
[tex] \frac{-4x + 7}{2(x - 2)} [/tex]
Related Questions
1
bushels
A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 16
each day. Represent the total change in the number of bushels he has for sale after 5 days.
The total change in the number of bushels he has for sale is I.
(Type an integer, proper fraction, or mixed number.)
Answers
Answer: 60
Step-by-step explanation:
If he sells 16 each day after 5 days he would sell 80 leaving him with 60 bushels of wheat
At a bake sale there were 72 raisin cookies sold. If the ratio of raisin cookies sold to oatmeal cookies sold was 9 : 1, what is the combined amount of raisin and oatmeal cookies sold?
Answers
Answer:
80
Step-by-step explanation:
72/9 is 8
9x8 is 72
so 1x8 is 8
72 plus 8 is 80
The data set {+3, -1, -2, +1} shows the moves a player made forward or backward in a board game. Graph the moves the player made. Explain the meaning of zero in this situation.
HELP PLEASE!!!! 35 POINTS
Answers
Answer:
Meaning of 0: Player has moved backwards in such a way, that they are back at the start.
Step-by-step explanation:
Graph is in the picture.
I NEED HELP LIKE REALLY REALLY FAST
Answers
Answer:
56 inches I believe.
I'm not 100% sure.
The surface area is 50 square inches
What is the slope-intercept form of 3x + 5y = -15?
Answers
3x+5y=1 in slope-intercept form is y=−35x+15 .
Rewrite as a simplified fraction.1. 6 =?
Answers
Answer:
1 3/5
Step-by-step explanation:
What does reflecting over each axis do to a function algebra 2
Answers
[tex](15+23)+7=15+(_______+7)[/tex]
Answers
A banquet hall is divided into two sections that both have tables with chairs arranged around them. In the smaller section, there are 9 tables with 6 chairs each. In the larger section, there are currently 4 tables with 8 chairs each. More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall. Which equation could be used to determine how many more tables, t, each with 8 chairs, are needed in the larger section?
Answers
Answer:
The equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40
Step-by-step explanation:
From the question,
In the smaller section of the banquet hall, there are 9 tables with 6 chairs each.
This means there are 9 × 6 chairs there
9 × 6 = 54
Hence, there are 54 chairs in the smaller section of the banquet hall.
Also, from the question,
In the larger section of the banquet hall, there are currently 4 tables with 8 chairs each.
This means there are 4 × 8 chairs there presently
4 × 8 = 32
Hence, there are currently 32 chairs in the larger section of banquet hall.
From the question,
More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall.
If t more tables are to be added,
This means that t × 8 (8t) chairs will be added to the larger section so that there will be 126 total chairs in the banquet hall.
The total chair in the banquet hall will be = Total number of chairs in the smaller section + Current number of chairs in the larger section + Number of chairs to be added to the larger section
Therefore,
126 = 54 + 32 + 8t
126 = 86 + 8t
Then,
8t + 86 = 126
8t = 126 - 86
8t = 40
This equation can be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section.
Hence, the equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40.
If desired,
8t = 40
t = 40/8
t = 5
Hence, 5 more tables are needed in the larger section.
1
Five friends went to the movies and each spent $5 on a ticket per movie and $2 on a bag of popcorn. They saw 2 movies. The movies also had a deal of pizza and a large bottle of soda for $12, which they split. How much did each friend pay for the movie trip and pizza?
Answers
Answer:
5+2 + 12/5 = $9.40
Step-by-step explanation:
I NEED HELP REALLY REALLY FAST
Answers
Answer:
360
Step-by-step explanation:
360 because you multiply the height times the width and you get your answer hopefully this helps you
i have a test and only have an hour please hurry!
90 / 3* (9 +6)=?
Answers
Answer:
450
Step-by-step explanation:
9+6= 15
90/3= 30
30*15=450
What is the slope intercept form of 9x+7y=14?
Answers
Answer:
y = -9/7x + 2 is the slope intercept form.
Step-by-step explanation:
whats 8% as a fraction and a decimal
Answers
Answer:
0.8 HOPE IT HELPS
Step-by-step explanation:
Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services. How many did she withdraw from her account to pay for her services?
Answers
Answer:
$62.50 because
Step-by-step explanation:
250÷4=62r2
62.50•4=250
Ms. Beg withdraw $62.5 from her account to pay for her services.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services.
to with
So, to withdraw from the account to pay for services each month
= 250/4
= 125/2
= 62.5
Hence, she withdraw $62.5 from her account to pay for her services.
Learn more about unitary Method here:
https://brainly.com/question/22056199
#SPJ5
DIRECTIONS: Use this information to answer Parts A and B.
A clothing company has 4,630 shirts to ship. They can fit 130 shirts in a shipping box.
Part A
How many boxes are needed to ship all the shirts?
Enter the correct answer in the box.
Hint
Divide the number of shirts by the number of shirts per box.
Answers
Answer:
4630/130=35.6 so just round to 36 with a remainder of a few shirts
Step-by-step explanation:
Find the slope and the y-intercept of the line.
y=2x-9
Answers
Answer: The Slope Is: m=2. The y -intercept Is: b=9 or (0,9) hope this helps :)
Step-by-step explanation:
Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs?
Answers
Answer: 4.50
Step-by-step explanation:
6.50 minus 2.00 is 4.50
f(x)=x^2 to f(x)= -4(x+6)^2-3
Answers
S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°
Answers
Step-by-step explanation:
Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS
Given
m∠RQS=(4x-20)°
m∠SQT=(3x+14)°
m∠RQT=155°
The addition postulate is true
m∠RQT= m∠RQS + m∠SQT
Substitute the given parameters into the formula
155 = 4x-20+3x+14
155 = 7x-6
7x = 155+6
7x = 161
x = 161/7
x = 23
Solve for m∠RQS
m∠RQS = 4x-20
m∠RQS = 4(23)-20
m∠RQS = 92-20
m∠RQS = 72°
Solve for m∠SQT
m∠SQT = 3x+14
m∠SQT = 3(23)+14
m∠SQT = 69+14
m∠SQT = 83°
What is the slope of the line that passes through the points (−3, 1) and (1, −5) ? 1/2 −2/3 −3/2
Answers
Answer:
-3/2
Step-by-step explanation:
:)
Answer:
The answer is -3/2
Step-by-step explanation:
I took the test.
Have a great day!!
Yosef is trying to determine whether or not he drinks enough water each day today on average he drank 2/5 of a glass of water every hour for 10 hours, to determine how much water he had he set up the equation 2/5 x 10 =? What is the total amount of water yosef drak
Answers
Answer:
4 glasses
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
-7x+y=-19
8x-8y=8
What is the answer
Answers
Steps:
-7x+y=-19
8x-8y=8
-7x+y=-19
x-y=1
-6x=-18
x=3
8(3)-8y=8
y=2
(x,y)=(3,2)
A regression equation for this line is y = -0.42x + 19.26 a. What do the slope and y-intercept indicate? The slope indicates that the percent in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year. b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%. The slope indicates tha the percent has remained the same for each year. The y-intercept indicates the percent in 1985 should have been 22%. d. There is not enough information to determine what the slope and y-intercept indicate.
Answers
Answer:
B.The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%.
Step-by-step explanation:
A regression equation is it this form:
Y' = b0 + b1X
I am going to identify the slope and intercept in this equation to help us go further in our solution.
b1X is the slope. The slope usually has an x value multiplied to it
b0 is the intercept.
Back to our question, the equation in this question is
Y = -0.42X + 19.26
The slope is -0.42X.
The y intercept is 19.26
The slope has a negative sign, this shows us that the percentage is falling by about 0.4% every year while an intercept of 19.26 tells us that percentage in 1985 should have been about 19%.
I hope you found my solution useful?
All my digits are the same. The sum of my digits is greater than twelve. The sum of my digits is less than sixteen. Who am I?
Answers
Answer:
7and 7
Step-by-step explanation:
sum 7+7=14is greater than 12and less16
Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?
Answers
There is 8 sections of the spinner and 3 are red. No need to simplify
help will do brainliest uwu I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
Answers
Answer:
152
Step-by-step explanation: 1+3=4+4=8x2=16x2=32x11=152
3 5 of students at a school are boys. If there are 2610 students at the school, how many are girls?
Answers
Answer:
1044 girls in the school
Step-by-step explanation:
3/5*2610=1566 boys
2610-1566-1044 girls
it should be 1044 because
3/5=.6 or 60%boys and 40% girls
2610 * 60% or .6 = 1566 boys
2610 - 1566boys = 1044 girls
or
2610 * 40% or .4 = 1044 girls
so there are 1044 girls at the school
Norbert’s Nursery is having a sale. Flats of flowers are priced as marked, including tax. Jake buys 2 flats of petunias at $5.25, 3 flats of daisies at $7.65, and 1 flat of begonias at $8.40. If he pays with a $50 bill, how much change should Jake receive?
Answers
Answer:
I am a student. Jake should receive 8.15 dollars in change. Please pick me brainliest! I am new to this website and I wanna help.
Step-by-step explanation:
What is the percentage of change from 400 to 300?
Answers
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
400*.25=100
400-100=300
Hope this helps!!