Answer:
Given that you're providing only a single term, asking for a difference doesn't make a lot of sense. I assume you're asking to have the expression simplified?
If so, then it can be reduced to (x - 17) / 3x
Step-by-step explanation:
You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator. Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.
After that you can group the terms into one fraction and simplify:
[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]
Answer:
The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Step-by-step explanation:
We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
Simplifying to find the difference:
[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]
x is common in both 3x and x^2 so, we can cancel it out and we get:
[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]
Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:
[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]
It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.
So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex] is [tex]\mathbf{\frac{x-17}{3x}}[/tex]
Sam is making a project out of wood. He needs a board that is 2 3/4 feet long. He has a board that is 3 1/8 feet long How much does Sam need to cut from the board for the project?
Which Unit lengths represent the sides of a right triangle
A. 3,4 and 5
B. 6, 8 and 15
C. 20, 21 and 29
D. 9, 12 and 15
Answer:
A 3, 4 and 5
Step-by-step explanation:
so far two-thirds of the seniors bought prom tickets. if they need minimum of 250 people to attend in order to keep the venue, how many students must be in the senior class to ensure they sold enough tickets
Answer: 375
Step-by-step explanation:
2/3 of x= 250
250 x 3=750
750//=375
They need a minimum of 375 students in order to keep the venue,
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, So far two-thirds of the seniors bought prom tickets. if they need a minimum of 250 people to attend in order to keep the venue.
Assuming they need a minimum of x people.
∴ (2/3)x = 250.
2x = 750.
x = 375.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Please help me!
Will mark brailest if you are right!!!
Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then
y = 3x ← is the equation of the graphed line
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin
Answer:(-8,-4)
Step-by-step explanation:
Alexander has pp pennies and nn nickels. He has a maximum of $0 worth of coins altogether. Write this situation as an inequality.
Answer:
p+5n≤0
Step-by-step explanation:
i just took it
good night all ✨
[tex]{\boxed{1.}} \: \tt 2x + 8 = 24[/tex]
[tex]{\boxed{2.}} \tt \: 6x = 12 - 6[/tex]
must accompany "step by step"! :)
Answer:
28+8=24
61=12-6
Step-by-step explanation:
Subtract 8 from both sides of the equation.
2x+8=24
2x+8-8=24-8
Simplify
2x=16
Divide both side of the equation by the same term
2x/2 16/2
Simplify
x=8
Subtract the numbers
6x=12-6
6x=6
Divide both side of the equation by the same term
6x/6 6/6
Simplify
x=1
hope it helps took a long time to do lols
Answer:
Subtract 8 from both sides of the equation.
2x+8=24
2x+8-8=24-8
Simplify
2x=16
Divide both side of the equation by the same term
2x/2 16/2
Simplify
x=8
Step-by-step explanation:
Sorry I can't aNswer well
CAN SOMEONE PLEASE HELP ME???
Answer:
m=2
Step-by-step explanation:
slope is the average rate of change in a specific interval
we can calculate slope in this case with Δy/Δx or (y2-y1)/(x2-x1)
m=(y2-y1)/(x2-x1)
=(-1-7)/(-3-1)
=-8/-4
=2
If you can, please leave an explanation so I can learn how to do it rathe than just copying
Answer:
Point-Slope: y+1=-5/7(x-5)
Slope Intercept: y=-5/7x+ 2 4/7
Standard: -5x+7y=18
Step-by-step explanation:
Slope: -5/7
Point slope is when the equation is in y-y1=m(x-x1) form.
I used the point (5,-1) but it really doesn't matter which one
Substitute it into (x1,y1)
y--1=-5/7(x-5)
y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**
Slope-intercept is when the equation is in y=mx+b form.
y=-5/7x+b
To solve for b, plug in one of the points (again, I choose to use (5,-1)
(-1)=-5/7(5)+b
-1=-25/7+b is equal to asking -1=-3 4/7+b
b=2 4/7
Standard form is when it is in Ax+By=C
We'll covert from slope intercept to standard: y=-5/7+ 2 4/7
y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)
7y=5x+18 **Multiply both sides by 7, the common denominators**
-5x+7y=18 **Subtract 5x from both sides**
Sorry it took it while to get everything down but I hope this helps~
What is the value of x?
Answer:
x = 6
Step-by-step explanation:
The Pythagorean Theorem states that a² + b² = c². In this case, c would be the hypothenuse or the longest side, which is 10. 8 can be either a or b.
a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
a² = 36
a = √36
a = 6
So, x = 6.
Hope that helps.
What is the value of x?
At a sale, you purchased a $20 scarf for $15. What
was the percent of change?
what is the degree of the expression below? x^2-3x+7
Answer:
2
Step-by-step explanation:
find the slope from this graph
Answer:
m (slope) = 664
Step-by-step explanation:
Formula:
m (slope) = y1-y2/x1-x2
m = 16570 - 21226 / 1982 - 1986
= -4,656 / -4
= 664
find measure of angle 1
marking people brainlist 7s-s=
Answer:
6s
Step-by-step explanation:
Adrián compró una bicicleta cuyo precio original es de 400.00 pesos pero al pagar en la caja le hicieron 20% de descuento cuánto pagó al niño para la bicicleta
Answer:
320 pesos
Step-by-step explanation:
Un 20% de descuento en formato decimal es 0.20. La totalidad de la bicicleta es representada como 100% o 1 y nosotros queremos saber el precio despues del descuento que seria
100% - 20% = 80% o 0.80
Ahora simplemente multiplicamos este decimal por el valor original de la bicicleta para saber el precio descontado...
400 * 0.80 = 320 pesos
......................
Hey again!
The answer to your question is 14.54 inches
We can find this by doing 1454/100, and that is 14.54.
Hope it helps, have a great day! Let me know if there's more to help with.
Rewrite the following expression in simplest radical form: (4x^2/3)^3 - (81x^5)^1/4
Answer:
64x^2/3x^5/4
Step-by-step explanation:
(4x^2/3)^3 / (81x^5)^1/4
4^3*x^2/3*3 / 3^4*1/4*x^5/4
64*x^2 / 3*x^5/4
The school has 330 students in 11 classrooms. What is the unit rate of
students per classroom? Explain how you got your answer.
Pls help due at 2:00
Answer:
1. $8.77
2. 498.456
Step-by-step explanation:
Identify the correct Triangle Congruence Theorem statement that describes the figure below.
Ο BAC & FED
O ABC & DEF
O ABC & DFE
О АСВ & DEF
What is 7 1/2% of 60?
Answer:
the answer is 4.5. hope this helps
(3 + 81)(3 - 81) =
DONE
h
Answer:
-6552
Step-by-step explanation:
First do 3+81 = 84 then 3-81 = -78. Then multiply them together to get -6552
Answer:
（3 + 81）（3-81）=9-6561
Stepby-step explanation:
Please help me with this!!
Solve the following
system of equations:
5x – 2y = 4
x + 2y = 8
Answer:
x=2
y=3
Explanation
1. Solve x + 2y = 8 for x:
x + 2y = 8
x+2y + − 2y = 8 + −2y(Add -2y to both sides)
x = −2y + 8
2. Substitute −2y + 8 for "x" in 5x − 2y =4
5x − 2y = 4
5 (−2y + 8) − 2y =4
−12y + 40 = 4 (Simplify both sides of the equation)
−12y + 40 + −40 = 4 + −40(Add -40 to both sides)
−12y = −36 (Divide both sides by -12)
y = 3
3. Substitute 3 for "y" in x= −2y + 8
x = −2y + 8
x = (−2) (3) + 8
x = 2 (Simplify both sides of the equation)
Answer:
x = 2 and y = 3
Marcus has 4 times the sum of 6 and the number of marbles David has let d represent the number of marbles David has write an algebraic expression to represent how many marbles Marcus has.
Answer:
4(6+d)
Step-by-step explanation:
You are throwing a party at an arcade. You recieve 5 tokens for every dollar spent. Create an equation that describes this situation. T is the total number of tokens and D is the number of dollars.
Answer: 5D = T
Step-by-step explanation:
A dollar spent will give 5 tokens.
The amount of dollars spent therefore will increase the number of tokens you by fivefold.
Formula is therefore:
5D = T
Testing it.
Assume you spent 5 dollars, how many tokens would you have:
5D = T
5 * 5 = 25 tokens
I need help!!
Simplify this complex fraction
Write 57 divided 50 as a percentage
Answer:
87.72%
Step-by-step explanation:
What is the fraction (ratio) 50/57 as a percent value?
49/57 = ? ... 51/57 = ?
Detailed calculations below:
Introduction. Fractions
A fraction consists of two numbers and a fraction bar:
50/57
The number above the bar is the numerator: 50
The number below the bar is the denominator: 57
Divide the numerator by the denominator to get fraction's value:
Val = 50 ÷ 57
Introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
p% = p 'out of one hundred',
p% = p/100 = p ÷ 100.
Calculate fraction's value.
Divide the numerator by the denominator to get fraction's value:
50/57 =
50 ÷ 57 ≈
0.87719298245614
Note:
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
Calculate the percent value:
0.87719298245614 =
0.87719298245614 × 100/100 =
(0.87719298245614 × 100)/100 =
87.719298245614/100 =
87.719298245614% ≈
87.72%;
In other words:
1) Calculate fraction's value.
2) Multiply that number by 100.
3) Add the percent sign % to it.
Answer:
:: written in two ways ::
Not rounded:
50/57 = 87.719298245614%
Rounded to maximum 2 decimals:
50/57 ≈ 87.72%
Signs: % percent, ÷ divide, × multiply, = equal, / fraction bar (division bar), ≈ approximately equal;
Writing numbers: comma ',' as thousands separator; point '.' as a decimal mark;
More operations of this kind:
49/57 = ? ... 51/57 = ?