Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7/n-(8/7)=0
Step by step solution :
STEP 1:
8
Simplify —
7
The equation at the end of step
1:
7 8
— - — = 0
n 7
STEP 2:
7
Simplify —
n
The equation at the end of step
2:
7 8
— - — = 0
n 7
STEP 3:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : n
The right denominator is : 7
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 0 1 1
Product of all
Prime Factors 1 7 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
n 1 0 1
Least Common Multiple:
7n
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 7
Right_M = L.C.M / R_Deno = n
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7 • 7
—————————————————— = —————
L.C.M 7n
R. Mult. • R. Num. 8 • n
—————————————————— = —————
L.C.M 7n
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • 7 - (8 • n) 49 - 8n
——————————————— = ———————
7n 7n
The equation at the end of step
3
:
49 - 8n
——————— = 0
7n
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.
Here's how:
49-8n
————— • 7n = 0 • 7n
7n
Now, on the left-hand side, the 7n cancels out the denominator, while, on the right-hand side, zero times anything is still zero.
The equation now takes the shape :
49-8n = 0
Solving a Single Variable Equation:
4.2 Solve : -8n+49 = 0
Subtract 49 from both sides of the equation :
-8n = -49
Multiply both sides of the equation by (-1) : 8n = 49
Divide both sides of the equation by 8:
n = 49/8 = 6.125
One solution was found :
n = 49/8 = 6.125
Step-by-step explanation:
hope this helps...
The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
What is an algebraic expression?"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
What is exponent?"It refers to the number of times a number is multiplied by itself.""For non-zero real numbers a, b, c, [tex](a^b)^c=a^{b\times c}[/tex]"For given question,
We have been given an equation [tex](7^2)^4=n^8[/tex]
Consider an algebraic expression on the left side of the above equation.
[tex](7^2)^4[/tex]
Using the properties of exponents we can write it as,
[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]
So, given equation becomes,
[tex]7^8=n^8[/tex]
Since power is same, base of above exponents is equal.
⇒ n = 7
Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
Learn more about the exponents here:
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The circumference of a circle is 24π in. What is the area, in square inches? Express your answer in terms of \piπ.
Answer:
45.84
Step-by-step explanation:
hope that helps
The area of the circle is equal to 144π square inches.
What is the area of the circle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that the circumference of a circle is 24π in. The area of the circle is calculated by the formula given below,
Area of circle = πr²
Circumference of the circle = 24π
2πr = 24π
r = 12
The area of the circle will be calculated as:-
Area = πr²
Area = π x ( 12 )²
Area = 144π square inches.
Hence, the area is 144π square inches.
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The radius of a circle measures 5 milometers . What is the circumference of the circle? Use 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
circumference = 31.4 milometers
Step-by-step explanation:
circumference = 5(2)(π)
circumference = 31.4 milometers
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer: D. Point A
Step-by-step explanation:
It is the solution because it falls on the point where the lines intersect and since they intersect they can have only one solution
Answer:
isn't it just point A (answer choice D) because, like other person said, the two lines intersect at point A?
Step-by-step explanation:
correct me if I'm wrong
Given a set of attributes, can you make one triangle, no triangles, or many triangles?
jo says, "the attributes of my triangle are sides that are 3cm and 9cm long. I can make only one triangle because I have to connect the ends of my two sides."
do you agree or disagree? why?
Answer:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
I NEED HELP ASAP!!!
Do a conclusion and tell how or where you will use 3D shapes in the future.
Answer:
You will use 3D shapes in the future when creating blueprints for buildings and infrastructure.
Help please
Brainiest answer to whoever is first
Answer:
75
Step-by-step explanation:
An item costs $420 before tax, and the sales tax is $25.20 . Find the sales tax rate. Write your answer as a percentage.
Answer:
6%
Step-by-step explanation:
Given data
Cost of item= $420
Tax= $25.2
Required
The tax rate
=25.2/420*100
=0.06*100
=6%
Hence the tax rate is 6%
I need help and show work
Please help!! I will give brainliest
Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag
If Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag is 24 days.
Number of daysUsing this formula
Number of days=Number of ounces×Number of pound bag
Where:
Number of ounces=4 ounces
Number of pound bag=6
Let plug in the formula
Number of days=4×6
Number of days=24 days
Therefore how long will it take her to use up a 6 pound bag is 24 days.\]
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Jonathan was 45 inches tall when he started kindergarten. He grew an average of 2.5 inches every year. Jonathan is now 62.5 inches tall. Which equation can be used to find how many years ago Jonathan started kindergarten, and how many years ago was it?
A. (45 + 62.5) ÷ 2.5 = x 7 years
B. 2.5x + 45 = 62.5 7 years
C. (45 + 62.5) ÷ 2.5 = x 43 years
D. 2.5x + 45 = 62.5 43 years
Answer:
B; 2.5x + 45 = 62.5
Step-by-step explanation:
Since the current height is 62.5, and the starting height is 45, then all you have to do is subtract 45 from 62.5, then divide that by 2.5 to get your answer, which should be 7 years.
Hopefully this helps- let me know if you have any questions!
What is the equation of the line with slope -4 through the point (-2,5).
Answer:
y=−4x−3.
Step-by-step explanation:
Answer:
The slope of the line is m=−4.
The equation of the line in the slope-intercept form is y=−4x−3.
The equation of the line in the point-slope form is y−5=−4(x+2).
The general equation of the line is 4x+y+3=0.
hope that helps
What is the distance between (4, 7) and (-8, 3)? Round to the nearest tenth.
Answer:
The distance is approximately 12.6.
Step-by-step explanation:
Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4. Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.
This distance, from the Pythagorean Theorem, is
d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.
The desired distance is approximately 12.6.
Please answer! You’ll get brainliest:)) please show your evidence! :)
Solve for x please and thank you
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The product of segment lengths is the same for the two chords.
9(21) = x(27)
x = 189/27 . . . . . divide by 27
x = 7
हल गर्नुहोस् (Solve):
3X+1 + 3x = 108
सरल गर्नुहोस् (Simplify):
1
1
+
(a - b) (a-st 16-allo
107/6
Step-by-step explanation:
3x+1+3x=108
6x=108-1
6x=107
x=107/6
PLEASE ANSWER FAST!
A water tank contains exactly 1,000 gallons. A pump fills the remainder of the tank using
a logistic function. If the volume of the tank is 15,000 gallons and the pump fills the tank at a rate of 10.4% per minute, explain how to find the value of a for the logistic function that describes this scenario.
Answer: V ( t ) = 1 + 1 4 e − 0 . 1 0 4 t 1 5 , 0 0 0
The required value for the logistic function describing the scenario of the water tank being filled at a rate of 10.4% per minute.
What is the logistic function?The logistic function has the form:
[tex]f(x) = L / (1 + a \times e^{(-kx)})[/tex]
Where:
f(x) is the volume of the tank at time x
L is the maximum volume the tank can hold
a is a constant that determines the growth rate of the function
k is a constant that determines the rate at which the growth slows down as the tank approaches the maximum volume
In this case, the maximum volume of the tank is 15,000 gallons, so L = 15,000.
The pump fills the tank at a rate of 10.4% per minute, so k = 0.104.
To find the value of a, we need to solve the logistic equation for a given the values of f(x), L, and k.
We can rearrange the logistic equation to solve for a:
[tex]a = (1 / f(x)) - (1 / L) \times e^{(kx)}[/tex]
Substituting the known values into this equation, we get:
[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(0.104x)}[/tex]
This equation can be used to solve for the value of a for any given value of x (time). For example, if we want to know the value of an after 10 minutes, we can substitute x = 10 into the equation to get:
[tex]a = (1 / 1,000) - (1 / 15,000) \times e^{(1.04)}[/tex]
This gives us the value of a for the logistic function that describes the scenario of the water tank being filled at a rate of 10.4% per minute.
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the relationship between a and b if a + b = 0
Answer:
a=-b
Step-by-step explanation:
a+b=0a=-bOr,
b=-a
Find the surface area. Answer without units.
18 cm
11 cm
9cm
Please help hurry
Answer:
306
Step-by-step explanation:
v = 1/3bh
2×(18×11 + 18×9 + 11×9) / 3 = 918/3
= 306
hope this helps, mark brainliest if it did luv gl !
I have to study for a test. It's for data management. Does anyone have tips? (Grade 7)
Studying: Use resources.
If your studying for a test, use some resources, like quizizz, quizlet, flashcards, or the internet. If you do, ask your parents for help. Think it like its your big test, and your studying a lot. If you study and try, you'll pass the test on data management. If you need it, ask your teacher for tutoring or practice some data management questions. Studying will help you not to fail a test.
Now, we'll talk about before the test.
Before test: Rest, eat breakfast, and stay calm.
Step-by-step explanation: Going to bed before a test can prevent you from going to sleep. For example, GMAS (for me) is coming soon, and my teacher encourage us to rest, eat breakfast and stay calm. A recommended time for you to go to bed is 8:00-9:30.
Now, about breakfast.
Eating breakfast is also important because you can perform better, in fact, scientists say that if students eat breakfast before a test or exam, they will perform better! Whatever you do, don't skip breakfast. If you do, you won't perform good, and theirs a chance you could fail.
Now, staying calm is the big one.
If your freaking out, stay calm, say a prayer and get your work done! Staying calm is the big one because most students (I am one of them) get worried if they're gonna fail. Keep this in mind: Try. Your. Best. If you don't try, you won't achieve anything. And please don't cheat. If you cheat, you'll have to repeat the whole grade. Can't cheat in college; you'll get kicked out.
During test: DO. NOT. CHEAT.
CHEATING WILL GET YOU KICKED OUT OF COLLEGE AND YOU'LL AUTOMATICALLY FAIL!!! If your computer prevents you from going to other sites, that is good, but don't pull out ANY study guides or notes during your test, unless it's open-notes. If you don't know a questions, skip it and go to the next one. Then go back, it will come to mind later. If your done with your test early, check your answers. Look back and think, "Is this correct?"
Hope you do good on your test!
~ Lily, from Brainly.
there are 96 coins in a bottle
1/2 coins are $1 coins
rest of the coins are 50p coins
work out the total value of 96 coins
Answer:
The total value of the 96 coins is 72.
Step-by-step explanation:
There are half coins of 1. 48 coins of 1. It is cost will be 48. And rest are of 50p. 48 coins of 50 p. Therefore it is cost will be 24. The total cost will be 48+24=72.
HELPP ILL GIVE BRAINLIEST
can someone please help me asap
Answer:
I cant see it....
Step-by-step explanation:
I cant see it....
solve for -4[x+9]=-8
Answer:
x= -7
Step-by-step explanation:
-4x - 36 = -8
-4x = - 8 + 36
-4x= 28
x= 28/-4
x= - 7
Maria sells painting in a art gallery. She earns $375 each week plus a commission of 2.5% of her swelled. What is the minimum amount of sales she must have this week to earn at lease $500.
Answer:
5000.00
Step-by Step
500.00-375.00 = 125.00
5000 x 2.5% = 125.00
375.00 + 125.00 = 500.00
AB
Round your answer to the nearest hundredth.
С
4
A
25°
?
B
Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{4}{AB}[/tex] ( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB = [tex]\frac{4}{cos25}[/tex] ≈ 4.41 ( to the nearest hundredth )
the sum of 6 less than a number and 3
Answer:
2
Step-by-step explanation:
What is the equation of the line that passes through the point (-4, -6) and has a
slope of -1/2?
Answer:
y=(-1/2)x-8
Step-by-step explanation:
Answer:
y=-1/2x - 8
Use desmos to help with these problems
will mark brainless!!! 7. Step 2: Calculate the perimeter of DEF using the scale factor.
62.5 ft
196.5 ft
163.75 ft
58 ft
Pleaseeeeee can anyone help me????
Answer:
27.63
Step-by-step explanation:
r = 4.4
Circumference of a Circle formula:
C = 2πr
C = 2(3.14)(4.4)
C = 6.28(4.4)
C = 27.632
Rounded to the nearest hundredth:
27.63
Answer:
C= 27.63 inches
Step-by-step explanation:
Use the circumference formula C = 2πr.
Subsitute what you are given into the equation and solve.
C = 2πr
C= 2*(3.14)*(4.4inches)
C= 27.63 inches