The solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4 as per the rule of fraction's operations.
To solve the equation (3/4) - (1/2)n = 5/8 for n, we can follow these steps:
Start by subtracting 3/4 from both sides of the equation:
(3/4) - (1/2)n - 3/4 = 5/8 - 3/4
Simplifying, we have:
(1/2)n = 5/8 - 6/8
Combine the fractions on the right-hand side:
(1/2)n = -1/8
To eliminate the fraction coefficient, multiply both sides by -2:
(-2)(-1/2)n = (-2)(-1/8)
This gives us:
n = 2/8
Simplify the right-hand side:
n = 1/4
Therefore, the solution to the equation (3/4) - (1/2)n = 5/8 is n = 1/4.
It's important to note that when solving equations involving fractions, it's crucial to perform the same operation on both sides of the equation to maintain the equality. By isolating the variable n on one side, we were able to find its value.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ6
evaluate 3+jk+k^3 when j=2 and k=6
Answer:
[tex]231[/tex]
Step-by-step explanation:
[tex]3 + jk + k {}^{3} = 3 + 2(6) + 6 {}^{3} = 3 + 12 + 216 = 231 [/tex]
Answer:
231Step-by-step explanation:
[tex]3+jk+k^3\\\\j = 2\\k=6\\\\3+ 2(6) + 6^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:6^3\::\quad 216\\=3+2\left(6\right)+216\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(6\right)\::\quad 12\\=3+12+216\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+12+216\:\\:\quad 231[/tex]
A round wading pool has a diameter of 115\text{ cm}115 cm115, start text, space, c, m, end text and is 25\text{ cm}25 cm25, start text, space, c, m, end text deep. A hose is filling the pool at a rate of 34{,}000\text{ cm}^334,000 cm 3 34, comma, 000, start text, space, c, m, end text, cubed per minute. How long will it take to fill the pool to a depth of 20\text{ cm}20 cm20, start text, space, c, m, end text?
Answer: 6
Step-by-step explanation:
Answer:
6 minutes
Step-by-step explanation:
got answer from Khan and ml78786maggie
Find the lowest number divisible by 15, 20 & 25.
Answer:
300.
Step-by-step explanation:
This is the LCM.
15 = 3 * 5
20 = 2 * 2 * 5
25 = 5 * 5
One 5 appears in all 3 factors so we only use this once in the calculation:
LCM = 2 * 2 * 3 * 5* 5 = 300
Between 10pm and 7:45am, the water level in a swimming pool decreased by 3/8 in. Assuming that the water decreased at a constant rate, how much did the water level drop each hour?
Answer:
[tex]\frac{1}{26}[/tex] inches
Step-by-step explanation:
In order to solve this problem, we need to create a ratio.
Since we're looking for the rate per hour, we need to find how long it is from 10pm to 7:45am.
10pm + 2 hours = 12 AM
12 AM + 7.75 hours = 7:45 AM
So in total, it's 9.75 hours.
[tex]\frac{3}{8}[/tex] is the same as 0.375.
Our fraction will become [tex]\frac{0.375}{9.75}[/tex], which can simplify down to [tex]\frac{1}{26}[/tex].
Now we can create the proportion:
[tex]\frac{1}{26}=\frac{x}{1}[/tex]
Now we solve for x by cross multiplying.
[tex]1\cdot1=1\\\\1\div26=\frac{1}{26}[/tex]
Hope this helped!
Let f(x) = 4x + 8 and g(x) = 2x - 12. Perform the function operation, (f+g)
(x), and then find the domain of the result.??
you just add these functions:
(f+g)(x)=4x+8+2x-12=6x-4
domain of this function is still all reals (R)
Mia climbs 2/5 of the height of the rock wall. Lee climbs 3/8 of Mia's distance. What fraction of the wall did Lee climb?
Answer:
you got this
Step-by-step explanation: be a smart person like you are
-12+(-63)
Someone please help
Answer:
- 75Step-by-step explanation:
-12+(-63)
=-12 - 63
= - 75
Hope this helps.. Good luck :)
please helpp
me with this question and thank you
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{4x}{(x + 2)(x - 2)}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + 4} }[/tex]
Use the formula of a² - b² = ( a + b ) ( a - b )
[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + {2}^{2} } }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{(x + 2)(x - 2)}}} [/tex]
[tex] \longrightarrow{ \sf{ \frac{x - \cancel{2} + x + \cancel{ 2} + 2x}{(x + 2)(x -2 )} }}[/tex]
[tex] \longrightarrow{ \sf{ \frac{4x}{(x + 2)(x - 2)}} } [/tex]
Hope I helped!
Best regards! :D
Which of the following circumstances would likely make completing the square th
best method for solving a quadratic equation?
The leading coefficient is 1 and the linear term coefficient is an even number
The leading coefficient is not 1 and the constant is large
The difference of 2 perfect squares
The difference of 2 perfect cubes
Answer:
The leading coefficient is 1 and the linear term coefficient is an even number
Step-by-step explanation:
Leading coefficient must be one for the application of completing square method. If the completing square is not one than we must apply other methods like Ac method, quadratic formula to solve the equation. To solve the equation with completing square the numerical value must be on other side of the equation. In this method we multiply linear term’s coefficient with one-half and square it therefore, completing square is suitable method for the equation having leading coefficient is 1 and linear coefficient is even.
Find X. Need help ASAP
Answer:
A
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, then
the product of the external part and the whole of the secant is equal to the square of the tangent, that is
48(48 + x) = 60² = 3600 ( divide both sides by 48 )
48 + x = 75 ( subtract 48 from both sides )
x = 27 → A
dear friends answer is
x= 27
Using the digits 0-9, at most one time each, create five ordered pair that represent a linear
function that has a greater rate of change than the following (explain how u got that answer)
Answer:
(-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4)
Step-by-step explanation:
From the graph attached,
Ordered pairs which lie on the given line (-9, 0), (0, 3), (3, 4), (6, 5) and (9, 6).
Since all the points lie on the same line, rate of change of the linear function will be defined by the slope of the given line.
Slope of the line passing through (0, 3) and (3, 4) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4-3}{3-0}[/tex]
[tex]m_1[/tex] = [tex]\frac{1}{3}[/tex]
Now we have to find the ordered pairs which represent a linear function having slope greater than [tex]\frac{1}{3}[/tex].
So the points will be (-9, 0), (-8, 1), (-7, 2), (-6, 3) and (-5, 4).
Slope of the linear function passing through (-9, 0) and (-8, 1)
[tex]m_2[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{1-0}{-8+9}[/tex]
= 1
Here [tex]m_2>m_1[/tex]
Find the value of n and YZ if Y is between X and Z.
XY = 5n, YZ = 2n, XZ = 91
The value of n and YZ are 13 and 26 respectively
If Y is between X and Z, then:
XY + YZ = XZ
Given the following
XY = 5n
YZ = 2n
XZ = 91
Substitute the given expressions into the formula as shown:
5n + 2n = 91
7n = 91
Divide both sides by 7
7n/7 = 91/7
n = 13
Get the measure of segment YZ
YZ = 2n
YZ = 2(13)
YZ = 26
Hence the value of n and YZ are 13 and 26 respectively
Learn more here: https://brainly.com/question/23423083
Charle has 10 guests over at his house. If he gives each guest bacon, he will have given
out a total of 30 pieces of bacon. How much bacon did each guest get?
This needs to be converted into and algebraic expression plz help its due soon
Answer:
Each guest got 3. (if he doesn't have any for himself).
Step-by-step explanation:
if each guest is x
30=10x
divide by 10
x=3
hope this helps and if you want please consider giving me brainliest! :)
A savings account rounds the amount of money deposited to the nearest hundredths place. After tax returns on April 15th, Mulan earned
exactly $239.1639 in retums.
How much money was deposited into the savings account?
A. $200
B. $239.16
C. 236.17
D. 239.164
E. I don’t know yet
Answer:
Step-by-step explanation:
Simplify each expression by combining like
terms.
21a + (-18b) - 6a + 1lb
Answer:
My answer is
21a-18b-6a+11b.
which is 21a-6a-18b+11b.
=15a-7b.
I’m being timed help!!!!!!!!!!!!!!
Answer: light blue
Step-by-step explanation: Ax + By = C
Answer:
3x - y = -2
Step-by-step explanation:
What is the degree for 6p-8
the data set represents the shoe sizes of 19 students in a fifth grade physical education class 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9 a. create a box plot to represent the distribution of the data
Answer:
The minimum value = 4
The maximum value = 9
The first quartile, Q₁ = 6
The second quartile, (median) Q₂ = 7
The third quartile, Q₃ = 8
The box plot showing the above data is attached
Step-by-step explanation:
The given data set is 4, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9
From the data, we have;
The minimum value = 4
The maximum value = 9
The first quartile, Q₁ = (n + 1)/4th term = (19 + 1)/4 = the 5th term = 6
The second quartile, (median) Q₂ = (n + 1)/2 term = (19 + 1)/2 = the 10th term = 7
The third quartile, Q₃ = 3×(n + 1)/4th term = 3×(19 + 1)/4 = the 15th term = 8
Please find the attached box plot as plotted on Excel.
how many fewer alligators were in bite swamp than in chomp lake and reptile creek combined
Answer:
4
Step-by-step explanation:
Express in simplest radical form.
Sqrt (27)
3√3
Step-by-step explanation:√27 =
= √3×9
= √3×3²
= 3√3
20 POINTS: If tan= 3/4, find the CSC I don't know the relationship between tan and csc, please explain your answer
Answer:
[tex]\csc(x)=5/3[/tex]
Step-by-step explanation:
So we know that:
[tex]\tan(x)=3/4[/tex]
Recall that tangent represents the side opposite over the side adjacent.
This means that the opposite side is 3 while the adjacent side is 4.
Therefore, by using the Pythagorean Theorem, we can solve for the third side, which is the hypotenuse:
[tex]a^2+b^2=c^2[/tex]
Substitute a for 3 and b for 4. Thus:
[tex]3^2+4^2=c^2[/tex]
Square and add:
[tex]9+16=c^2\\25=c^2[/tex]
Square root:
[tex]c=5[/tex]
Now, recall that cosecant is the reciprocal of sine. So, find sine first.
Sine is opposite over hypotenuse. From tangent, the opposite is 3 and the hypotenuse as we now know is 5. Thus:
[tex]\sin(x)=3/5[/tex]
And cosecant is the reciprocal of that. Thus:
[tex]\csc(x)=5/3[/tex]
And that's our answer :)
Solve 48=4b-4(4b-3) and show work.
Answer:
Step-by-step explanation:
4b - 16b + 12 = 48
-12b + 12 = 48
-12b = 36
b = -3
Select the correct answer
Answer:
D. 5 weeks
Step-by-step explanation:
A population of pea aphids double every week beginning with 300 aphids.
Week 1: 300 × 2 = 600
Week 2: 600 × 2 = 1200
Week 3: 1200 × 2 = 2400
Week 4: 2400 × 2 = 4800
Week 5: 4800 × 2 = 9600
It will take 5 weeks
A cyclist rides her bike at a rate of 21 kilometers per hour. What is this rte in kilometers per minute? How many kilometers will the cyclist travel in 5 minutes? Do not round your answers.
Answer: 0.35km per minute
Step-by-step explanation:
Divide by 60 because it was in "km per HOUR".
Find the area of the shaded region. All measurements are in centimeters. Show your reasoning. Place your answer in the box to the right.
how many fewer alligators were in bite swamp than in chomp lake and reptile creek combined
Answer:
4
Step-by-step explanation:
ik it
Answer:
The answer is 4
Step-by-step explanation:
The answer is 4 because i did it on khan and it was right.
Df = 9x -39 find EF.
DE =47
Greetings from Brasil....
Looking at the figure we can say that:
DF = DE + EFDF = 9X - 39
DE = 47
EF = 3X + 10
inserting these data in the 1st expression....
DF = DE + EF
9X - 39 = 47 + (3X + 10)
9X - 39 = 47 + 3X + 10
9X - 3X = 57 + 39
6X = 96
X = 96/6
X = 16
EF = 3X + 10 anb X = 16, so
EF = 3·16 + 10
EF = 48 + 10
EF = 58Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of video he uploads?
Answer:
2000
Step-by-step explanation:
Khan Academy :)
Answer:
2000
Step-by-step explanation:
bc
is √13 greater or less than 3.5
Answer:yes it is greater
Step-by-step explanation:
Step-by-step explanation:
Hey, there!!
[tex] \sqrt{13 \: } \: is \: not \: greator \: than \: 3.5[/tex]
Because, root 13 means 3.60 also,
So, when you see 3.5 and 3.6 then it's obvious that 3.6 is greator.
Or if you see it in fractional form.
it will be,
18/5 and 7/2.
when we take a like term,
18×2/10 and 7×5/10
They will be ,
36/10 and 35/10.
Which implies 36/10>35/10.
So, the answer is root 13 is not greator than 3.5.
Hope it helps....
The price of a share of stock started the day at $37. During the day it went down $3, up $1, down $7 and up $4. What was the price of a share at the end of the day
Answer:
32
Step-by-step explanation: