Given:
Expression is
[tex]\dfrac{\dfrac{1}{x-3}+\dfrac{4}{x}}{\dfrac{4}{x}-\dfrac{1}{x-3}}[/tex]
To find:
The simplified form of given expression.
Solution:
We have,
[tex]\dfrac{\dfrac{1}{x-3}+\dfrac{4}{x}}{\dfrac{4}{x}-\dfrac{1}{x-3}}[/tex]
[tex]=\dfrac{\dfrac{1(x)+4(x-3)}{(x-3)x}}{\dfrac{4(x-3)-1(x)}{x(x-3)}}[/tex]
[tex]=\dfrac{x+4x-12}{(x-3)x}\times \dfrac{x(x-3)}{4x-12-x}[/tex]
[tex]=\dfrac{5x-12}{3x-12}[/tex]
[tex]=\dfrac{5x-12}{3(x-4)}[/tex]
Therefore, the last option is correct, i.e., [tex]\dfrac{5x-12}{3(x-4)}[/tex].
I’ll mark as BRANLIEST!!!
25 POINTS!
-Write a function rule for the area of a rectangle whose length is 3 inches more than the width. What is the area of the rectangle when its width is 7 inches. Remider: A=1xw
Answer:
70=A
Step-by-step explanation:
7=3+7=10x7=70=A
Help ASAP !
Help ASAP !
Help ASAP !
Help ASAP !
Answer:
5/28
Step-by-step explanation:
5/4 / 7 = 5/4 * 1/7 = 5/28
Answer:
5/28
Step-by-step explanation:
it could also be 0.17 in decimal form
I'm supposed to be Translating expressions so what is...
"tens subtracted from a number"
Answer:
10-x
HOPE THIS HELPS!
MARK AS BRAINLIEST PLEASE
Please help with figures
Answer:
x=11.9 mm
Step-by-step explanation:
8. Syairra needs to take an Uber to get to
the airport. The Uber charges $5.00 for
the first mile, and then $3.00 for each mile
after that. If the total charge is $62.00,
then how far was Syairra's taxi ride to the
airport?
Answer: 20 miles
Step-by-step explanation:
Since the Uber charges $5.00 for the first mile you have to subtract that from the total which is 62.
62.00 - 5.00 = 57.00
Then you keep subtracting 3.00 from 57.00 or you can divide 57 by 3 because 57 is how much money is left and the Uber charges 3 dollars for each mile after the first.
57.00 divided by 3.00 is 19
Then add 1 to 19 which equals 20 miles. You add 1 to 19 because 19 is the amount of miles she goes but that doesn’t include the 1st mile.
Sorry if this is confusing
About 1,500,000 bacteria are found in 1 milliliter of water of the coastal ocean. How many bacteria will be there in 100 milliliters of water?
Answer:
150000000
Step-by-step explanation:
Answer: E. because i just took the test on plato
If the width of a rectangle is 9 ft less then twice it’s length and the perimeter is 30 feet, what are the dimensions of the rectangle?
The dimension of the rectangle is,
The length of the rectangle is 7 feet.
And the width of the rectangle is 8 feet.
Given that,
If the width of a rectangle is 9 ft less than twice its length and the perimeter is 30 feet,
We have to determine,
What are the dimensions of the rectangle?
According to the question,
Let, the width of the rectangle is W,
And the length of a rectangle is L = 2W - 9,
The perimeter of the rectangle is = 2(L+W)
Where perimeter is 30 feet,
Therefore,
[tex]30 = 2(2W-9+W)\\\\30 = 2(3W-9)\\\\30 = 6W-18\\\\30 + 18 = 12W\\\\48 = 6W\\\\W = \dfrac{48}{6}\\\\W = 8 \ feet[/tex]
And the length of a rectangle is,
[tex]L = 2W - 9, \\\\L= 2(8) - 9\\\\L = 16-9 \\\\L =7 \ feet.[/tex]
Hence, The dimension of the rectangle is, the length of the rectangle is 7 feet, and the width of the rectangle is 8 feet.
To know more about Rectangle click the link given below.
https://brainly.com/question/19005097
Solve the two-step equation and identify the steps.
2= -7/4 + 1/4x
1. Add 7/4 to both sides
2. Multiply both sides by 4.
The solution is 15.
Answer:
x = 15
Step-by-step explanation:
Given
2 = - [tex]\frac{7}{4}[/tex] + [tex]\frac{1}{4}[/tex] x
Multiply through by 4 to clear the fractions
8 = - 7 + x ( add 7 to both sides )
15 = x
Answer:
Answer:
Step-by-step explanation:
A ___ angle has the same measure as its arc. Plz tell me the right answer and explain you answer and I'll give you brainlist
Answer:
inscribed angles
Step-by-step explanation:
Inscribed angles that intercept the same arc are congruent. This is called the Congruent Inscribed Angles Theorem
Answer: The answer is "A congruent has the same measure as it's arc.
(Or Inscribed congruent angels.)
Please I need help :(
Answer:
Step-by-step explanation:
Answer:
The picture has the answer
Step-by-step explanation:
First since the y-intercept is -2 you will draw a point on -2 on the y - axis.
Next you will do rise over run. Go up 3 from -2 then move to the right 2. Then draw another point. And draw a line through the two points.
I will do a pic for you!
Hope this helps ya!!
For what value of q is the equation –13(q + 4) = 7q + 16 true?
Hello! :)
[tex]\large\boxed{q = -3.4}[/tex]
-13(q + 4) = 7q + 16
Distribute the coefficient outside of the parenthesis:
-13(q) - 13(4) = 7q + 16
Simplify:
-13q - 52 = 7q + 16
Isolate for q by subtracting 7q from both sides:
-13q - 7q - 52 = 7q - 7q + 16
-20q - 52 = 16
Add 52 to both sides:
-20q - 52 + 52 = 16 + 52
-20q = 68
Divide both sides by -20:
-20q / (-20) = 68 / (-20)
q = -3.4
⠀⠀⠀⠀
The value of q is -3.4⠀⠀⠀⠀
______________________
⠀⠀⠀⠀
➤ How to solve ?
⠀⠀⠀⠀
That's quite easy but you need to recall the BODMAS rule .
⠀⠀⠀⠀
BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction
⠀⠀⠀⠀
In this equation we will solve the bracket then we will apply further BODMAS rule
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
SolutiOn :➠ - 13 ( q + 4 ) = 7q + 16
➠ -13q - 52 = 7q + 16
Now, we will bring the variable on left hand side and constants on right hand side
➠ -13q - 7q = 52 + 16
➠ -20q = 68
➠ q = 68/ -20
➠ q = 34/-10
As we have 10 in the denominator we can directly put the decimal .
➠ q = -3.4
∴ The value of q is - 3.4.
━━━━━━━━━━━━━━━━━
1-4x/2x+1=4/1-5x
solve in quadratic equations
Answer:
I can only assume that the entire 1-4x is divided by 2x, and 4 by all of 1 - 5x. You can guarantee more accurate results by using brackets where appropriate. If I read that expression with the correct notation, it reads as [tex]1 - \frac{4x}{2x} + 1 = \frac{4}{1} - 5x[/tex].
Assuming instead that it's meant as [tex]\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}[/tex], we can solve it as shown below, giving us x values of 1 and 3/20 (or 0.15).
Step-by-step explanation:
First let's reformat this to the usual ax² + bx + c format:
[tex]\frac{1 - 4x}{2x + 1} = \frac{4}{1 - 5x}\\(1 - 4x)(1 - 5x) = 4(2x + 1)\\1 - 5x - 4x + 20x^2 = 8x + 4\\20x^2 - 5x - 4x - 8x + 1 - 4 = 0\\20x^2 - 17x - 3 = 0[/tex]
Let's solve it with the quadratic formula:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac} }{2a}\\\\x = \frac{17 \pm \sqrt{-17^2 - 4\times 20 \times( -3)} }{2\times20}\\\\x = \frac{17 \pm \sqrt{289 + 240} }{40}\\\\x = \frac{17 \pm 23 }{40}\\\\x = 1, \frac{3}{20}[/tex]
Find the x−and y−intercepts.
−7x + 5y = 35
Answer:
x intercept = (-5,0)
y intercept = (0,7)
Step-by-step explanation:
plz help i’ll mark brainliest for correct answer
Answer:B
Step-by-step explanation:
51.8 + (-0.8) i dont like how you suposse to have20 letters
Answer:
51
Step-by-step explanation:
51.8-0.8=51
Answer:
the answer is 51
Step-by-step explanation:
I dont like how you have to have certain amount of charters in general.
100 points!+ brainlist = moving up!= friending u=awesomeness
Evaluate StartFraction 8 (6 + 5) over 2 squared EndFraction + 6(2).
22
34
56
112
Answer:
56
Step-by-step explanation:
Answer:
34
Step-by-step explanation:
Start by adding the number in the parenthesis: This gives us (8(11)/2^2) + 6(2)
Square the bottom: (8(11)/4) + 6(2)
Multiply the top of the fraction: (88/4) +6(2)
Divide 88 by 4: 22 + 6(2)
Multiply 6 and 2: 22 + 12
Add 22 and 12: 22 + 12 = 34
Answer: 34
What is the quotient?
o -5
O 5
you pick a card at random. Without putting the first card back, you pick a second card at random. What is the probability of picking and odd number and then picking another odd number?
A.1/6
B.1/5
C.1/4
D.1/3
Answer:
in my opinion it would be B
Step-by-step explanation:
Which rule explains why these triangles are congruent?
AAS
SAS
ASA
These triangles cannot be
proven congruent
Answer: SAS
Step-by-step explanation: by using the reflective property the line in the center it’s the missing “S”
Hi, I need help and all correct answers please, thanks! :) (4 screenshots included)
Answer: The y intercept is 1.
Step-by-step explanation: Sorry I could only answer the one about the y-intercept. So basically finding the y intercept is where the line crosses at the y-axis. So in this case the y-intercept is 1 because thats the point the line crosses at the y-axis. I hope this clarifies your question and I hope this helps. Good Luck on your upcoming test if you have one soon!
Chris is buying a new I-phone at the discount of 10%. The original price is $399.99. How much money will he pay for his new phone?
Answer:
He will pay $360.00 for his new phone. It best be at LEAST an IPhone 9.
Step-by-step explanation:
the slope of the line y=6x-1 is steep
true or false?
Answer:
yes true
Step-by-step explanation:
2x – 3y = 17
–3x + y = –1
solve by elimination
Answer:
(-2,-7)
alternatively
x: -2
y: -7
a restaurant is buying vinegar in bulk to make pickles 2 gallons of vinegar costs $3.00. which ratio correctly represents the price of vinegar?
Answer:1/1:50$
Step-by-step explanation:For two gallons it cost 3:00 dollars for two gallons so divide by two and you get 1 gallon for 1.50$
The sum of 3 consecutive integers is -51. What are the integers?
Answer:
-16+-17+-18= -51
-16,-17,-18
will mark brainliest if the answer is correct
Answer:
2/16
Step-by-step explanation:
your adding 2 and 16 so 2/16
A community needs to raise at least $5,000 for a new park. They have raised $3,250 so far and are selling flower arrangements for $25 each. How many flower arrangements, a, do they need to sell to raise at least $5,000?
A. 70
B. 69
C. 74
D. 75
Answer:
https://brainly.com/question/20226577
Step-by-step explanation:
B. 69
what is the solution of the following equation? 1/2 ( 4x + 2) = 10
A. x = 4 1/2
B. x = 4
C. x = 3/4
D. x = 5 1/2
What is
-2/3
-
5/6
?
Math/honors math/ Mathematics
Answer:
-3/2 is your answer !!!!
Answer:
[tex]-1\frac{1}{2}[/tex]
Step-by-step explanation:
Trust me it's right...lol
The product of a number b and -1.6 is less than -9.6.
Answer:
I don't have Idea