1/3(x+6)=2/3(x-9)
multi step equation
Answers
[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]
Related Questions
An auditorium has 72 rows of seats. The first row contains 70 seats. As you move to the rear of the auditorium, each row has 2 more seats than the previous row. How many seats are in the 24 th row
Answers
The number of seats on the 24th row is 3220.
The number of chairs in the 24th row is a function of the rate at which the chairs increase and the number of rows. The formula that can be used to determine the number of seats on the 24th row is:
P x [r x (n - 1)]
Where:
P = number of seats on the first row = 72r = rate of growth of the seats = 2n = number of the row = 2470 x [2x (24 - 1)]
70 x (2 x 23)
= 70 x 46
= 3220
A similar question was answered here: : https://brainly.com/question/18760477
Mike Jones bought a new split-level home for $150,000 with 20% down. He decided to use Victory Bank for his mortgage. They were offering for 25-year mortgages. Provide Mike with an amortization schedule for two periods. (Use Table 15.1(b)). (Do not round intermediate calculations. Round your answers to the nearest cent.) Payment number Portion to— Balance of loan Interest Principal outstanding 1 2
Answers
Value of Home = $150000
Down payment = 20% of $150000 = $30000
Loan Amount = $150000 - $30000 = $120000
Interest on Loan = 13.3/4% or 13.75%
Duration of Loan = 25Year
Calculation:-
Interest per month = 13.75%/12 =0.0114583333333333 % or 0.011458%
No. of months payment required = 25 years x 12 Months = 300 Months
To Calculated the monthly mortgage payment:-
The formula is M = P*i*(1 + i)^n/(1+i)^n – 1
Where M is monthly payment of Mortgage
P = principal amount of Loan = $120000
i = interest per month = 0.011458%
n=duration of loan in months = 300 months
When we apply the formula:
M = $120000*[0.011458*(1+0.011458)^300/(1+0.011458)^300-1]
= $120000*[0.011458*(1.011458)^300/(1.011458)^300-1]
=$120000*[0.011458*30.50697/30.5067-1]
=$120000*[0.011458*30.50697/29.50697]
=$120000*[0.349559/29.50697]
=$120000*0.011847 =$1421.60
So,Morgage payment Per month $1421.60
Period 1
Interest for 1st period = $120000 x0. 011458 = $1374.96
Pricipal Amount paid = $1421.60 -$1374.96 =$46.64
Balance in Principal amount = $120000-$46.64 =$119953.36
Period 2
Interest for 1st period = $119953.36 x0. 011458 =$1374.43
Pricipal Amount paid = $1421.60 -$1374.43 =$47.17
Balance in Principal amount = $119953.36 - $47.17 =$119906.19
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
Answer:
x = 13.9
Step-by-step explanation:
15cos(22) = 13.9
Answer:
x = 13.9
Step-by-step explanation:
For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
cos 22° = adj/hyp
cos 22° = x/15
x = 15 × cos 22°
x = 13.9
Answer: x = 13.9
1. The total amount of what you eam during the pay period before taxes and deductions are taken out is known as what?
Wage
Net pay
Salary
Gross pay
Answers
Answer:
net pay if im not mistaking
Step-by-step explanation:
State the postulate or theorem you would use to prove each pair of triangles congruent.
a) SSS
b) SAS
c) ASA
d) AAS
e) HL
f) Not possible
Answers
Answer:
c) ASA
Step-by-step explanation:
Angles at either end of the shared line segment are marked congruent, so the triangles can be shown to be congruent using the ASA postulate. (The shared segment is congruent to itself.)
I need a step by step explanation as well as work
Answers
Answer:
x = 2
m = 15/4
a = 5/4
Step-by-step explanation:
When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.
We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.
x/3 = 2/3 ⇒ x = 2
__
The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...
a/3 = 5/(3+6+3) = 5/12 ⇒ a = 5/4 = 1 1/4 . . . . . multiply by 3
and
m/(6+3) = 5/12 ⇒ m = 15/4 = 3 3/4 . . . . . multiply by 9
__
x = 2
m = 15/4
a = 5/4
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answers
Answer: i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090
Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090. (i hope this will help you and sorry if i did it wrong) :)
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under-filling or over-filling is occurring. If the sample data lead to a conclusion of under-filling or over-filling, the production line will be shut down and adjusted to obtain the proper filling.
a. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
b. Comment on the conclusion and the decision when the null hypothesis cannot be rejected.
c. Comment on the conclusion and the decision when the null hypothesis can be rejected.
Answers
Answer:
b
Step-by-step explanation:
mark brainliest pls....
Big Sam, an engineer of the Oval Express says: "We blew off a cylinder head an hour after leaving the station and had to continue the trip at three-fifths of the former speed, which brought us in two hours late. If the accident had occurred fifty miles father on, the train would have arrived forty minutes sooner". Based on Sam's description, how long was the run between the two train stations?
A. 150 miles
B. 200 miles
C. 250 miles
D. 300 miles
Answers
{(y/50)+2} hour=y/30 hour gives y=150 miles. Since, the train already had covered 50 miles at full-speed before the cylinder blew, so the run between the stations was 50+150=200 miles.
Answer:
Ig 200 miles
Step-by-step explanation:
I am guessing
What is the measure of _XYZ?
X
172
y
O A. 17°
V.
O B. 72°
55°
O C. 55°
w
D. 360
Answers
Answer: 35°
Step-by-step explanation: We have to find the measure of angle XYZ. We know, the angle subtended at the center is the average of the measure of arc intercepted by its angle and its vertical angles. Therefore, the value of ∠XYZ = 35°.
I hope this helps!
-Notsonerdy
NEED NOW PLEASE.....
Answers
Answer:
2+(-6)
Step-by-step explanation:
hope this helps
The speed of a train is 90 km per hour so how much will it be in m /s .
Answers
Answer:
90km/h in m/s will be
90×1000m/3600s ( convert 1km/1h to 1000m/3600sec )
=> 25m/s
we have: 90 km/h = 90 ÷ 3,6 = 25 m/s
Ok done. Thank to me :>
Help me with these worksheets pls
Anything would help BUT PLS ANSWER IT CORRECTLY, If you don't know, just IGNORE THIS AND DON'T JUST COME FOR THE POINTS.
Answers
Answer:
1. yes
2.no
3.yes
4.no
5.yes
How do I do this? It's a modulus question.
Answers
||x|-4|= |x-1|
1st step = separate the equation into 2 possible equations
2nd step = solve the equations
|x|-4= x-1
x= -3/2
Or
|x|-4= - (x-1)
X= 5/2
2)
Do the same
X= -5/2
X= 7/2
log, a Consider the graph of the function f 2- X O -2 2 4 6 8 10 -2 - What are the features of function gif g(t) = -|(r) - 1; oyintercept at (0,-1) X-intercept at (1,0) range of (-1,00) domain of (0, 0) vertical asymptote of g = 0
Answers
Answer:
X-intercept at (1/2 ,0)
domain of (0, infinity)
Vertical asymptote of x = 0
Step-by-step explanation:
Plato I got it right on the test
1 5/8 ÷ (−1 3/5) Please help
Answers
Five and 1/3÷2 2/3 simplified
Answers
Answer:
5 1/3 ÷ 2 2/3
Write both mixed fractions (whole number in front of fully-reduced fraction) as improper fractions (numerator is larger than denominator).
5 1/3 = 16/3
2 2/3 = 8/3
16/3 ÷ 8/3
When dividing, switch the numerator and the denominator of the fraction after the division sign and change the division sign to a multiplication sign.
16/3 x 3/8
Multiply.
16/8
Divide by 8.
2
Hope this helps! :)
20. Write an expression: Alexis has $10 less than twice the amount that David has. If David has
x dollars, write an expression to represent the amount that Alexis has.
Answers
Answer:
2x - 10
Step-by-step explanation:
'x' = amount David has
Alexis = 2x - 10
Is (–3, –2) a solution to the equation y = x + –1?
Answers
Answer:
No.
Step-by-step explanation:
We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.
Brainliest would be appreciated! :-)
HELP ME. NO LINKS!! PLEASE
Answers
Answer:
it's ether d or a
Step-by-step explanation:
i hope this helps you!
please answer for 30 points
Answers
Answer:
(2,-2)
Step-by-step explanation:
but it says fifteen and the answer is the first one
Answer:
I believe its A. im not 100 % im sorry if its wrong
152 feet in 16 seconds
Answers
Answer:
I'm not sure what you're asking but that is 9.5 feet per second.
Step-by-step explanation:
152÷16=9.5
Answer:
if you are asking about the unit rate it is 9.5 feet per second
Step-by-step explanation:
You just have to do 152/16
hope this helps
Can anyone help me with the first question? It’s for my study guide I would really appreciate it
Answers
Solve the proportion. x/6 = 20/24
Answers
X/6 = 20/24
Cross multiply:
24x = 120
Divide both sides by 24
X = 5
Answer: x = 5
In 7 hours, Deandre reads 42 chapters of a book.
What is his rate in chapters per hour?
Answers
Answer:
6 chapters per hour
Step-by-step explanation:
[tex]\frac{42 (chapters)}{7 (hours)} =6[/tex]
Hope this helps
Which of the following trinomials can be factored using the square of the difference?
NO LINKS!!
Answers
Answer:
d) 16x² -56x +49
Step-by-step explanation:
The square of a binomial difference will have the form ...
(ax -b)² = a²x² -2abx +b²
__
The sign of the linear term will be negative, which eliminates choices A and C.
The linear term will be double the product of the roots of the other two terms.
In choice B, the linear term has a factor of 5 that appears nowhere else, so that cannot be a perfect square.
Choice D factors as ...
16x² -56x +49 = (4x -7)² . . . . the square of a difference
Pls help thank you so much
Answers
By definition pH = - log H+], where H*] is the hydrogen concentration in $ ltext(moles per liter]$. If the pH
of a solution is 3, what would the [H+] in the solution (written in scientific notation)?
Answers
A ........................ig
two vectors a and b are inclined at a angle of 60° with each other. its resultant makes angle of 45° with a and value of resultant is 2 sqrt 2 . find the component
Answers
Answer:
[tex]\blue{\rule{100pt}{999999pt}}[/tex] [tex]\blue{\rule{100pt}{999999pt}}[/tex]
Stacy started a banking account with $150 and is spending $7 per day on lunch. This situation models which type of function?
ОООО
linear function
quadratic function
exponential function
None of these choices are correct.
Answers
Answer:
Linear
Step-by-step explanation:
She is spending the same amount per day, so it is linear