Describe the steps in solving the linear equation 3(3x-8)=4x+6
Answers
The value of x is 6.
Given,
3(3x-8)=4x+6
We need to solve for x and show steps by steps.
What are the properties used in solving a linear equation?Distributive property of multiplication over addition.
: a ( b + c ) = a x b + a x c
Distributive property of multiplication over subtraction.
: a ( b - c ) = a x b - a x c
Combining like terms.
: cx + ax + b = x (c + a) + b
: cx - ax - b = x (c - a) + b
We have,
3(3x-8)=4x+6
Removing the brackets.
3x(3x) - 3x8 = 4x + 6
9x - 24 = 4x + 6
Subtracting 4x on both sides.
9x - 24 - 4x = 4x + 6 - 4x
5x - 24 = 6
Adding 24 on both sides.
5x - 24 + 24 = 6 + 24
5x = 30
Dividing 5 into both sides.
5x/5 = 30/5
x = 6
Thus the value of x is 6.
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Related Questions
What is the slope of the line perpendicular to the line represented by the equation 2x+4y=12?
Answers
14(z+3)=14z+21
Please state if it has no solutions, one solution, or infinitely many solutions.
Answers
As a student you are able to earn extra money by assisting your neighbors with odd jobs. If you charged $10.25 an hour for your assistance about how many hours would you need to work to earn $8,425
Answers
821.9
It would take about 822 hours
For an hour of assistance if a student charged $10.25 than total number hours a student need to work to earn $8,425 is 821.95 hours and this can be determine by the help of unitary method.
Given :
Charge for 1 hour assistance = $10.25
Total earning through assistance = $8425
In this problem unitary method can be use to determine the total number of hours need to work to earn $8425. In unitary method, single unit value is determine first to evaluate the necessary value by multiplying the single unit value.
For an hour of assistance if a student charged $10.25 than total number hours a student need to work to earn $8,425 can be:
[tex]= \dfrac{8425}{10.25} \times 1[/tex]
= 821.95 hours
So a student need to work a total of 821.95 hours to earn $8425.
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Which statements are true about the ordered pair (−4, 0) and the system of equations?
{2x+y=−8
x−y=−4
Select each correct answer.
The ordered pair (−4, 0) is a solution to the first equation because it makes the first equation true.
The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true.
The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (−4, 0) is a solution to the system because it makes both equations true.
Answers
2(-4) + 0 = -8
-8 + 0 = -8
-8 = -8
x - y = -4 (-4, 0)
-4 - 0 = -4
-4 = -4
the ordered pair (-4, 0) is a solution to the system because it makes both equations true.
Which of the following equations represents the perpendicular bisector of WX graphed below?
Thank you! :)
Answers
First, we find the midpoint M using the midpoint formula:
[tex]\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).[/tex]
Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.
The slope of WX is [tex]\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5} [/tex].
Thus, the slope n of the perpendicular line is [tex]\displaystyle{ \frac{5}{3} [/tex].
The equation of the line with slope [tex]\displaystyle{ n= \frac{5}{3} [/tex] containing the point M(0, -1) is given by:
[tex]\displaystyle{ y-(-1)=\frac{5}{3}(x-0)[/tex]
[tex]\displaystyle{ y+1= \frac{5}{3}x[/tex]
[tex]\displaystyle{ 3y+3=5x[/tex]
[tex]\displaystyle{ 5x-3y-3=0 [/tex]
Answer: 5x-3y-3=0
Which inequality describes all the solutions to 5(3 - x) < -2x + 6?
A) x < -9
B) x > 3
C) x > 7
Answers
The inequality describes the solution to 5(3 - x) < -2x + 6 will be x > 3. The correct option is B.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The given expression 5(3 - x) < -2x + 6 will be solved as below:-
5(3 - x) < -2x + 6
15 - 5x < -2x + 6
-5x + 2x < -15 + 6
-3x < -9
x > 3
Therefore, the inequality describes the solution to 5(3 - x) < -2x + 6 will be x > 3. The correct option is B.
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compute the following: 8C3 5C2
Answers
5C2=5*4/2*1=10
56×10= 560 so the answer is 560
Suppose you divide a 52 card deck into its four suits, and draw one card from each suit. what is the probability that you draw two red face cards and the two black aces?
Answers
clover - only 1 black ace
hearts(red) 3 face cards out of 13
spade - only 1 black ace
3/13 * 3/13 *1/13 *1/13 = 9/28561
Describe how the variability of the x bar distribution changes as the sample size increases
Answers
The standard deviation decreases and the sampling distribution becomes more normal as the sample size increases in x bar distribution.
The variability of the x bar distribution changes as the sample size increases. As the sample size increases, the standard deviation of the sampling distribution of the means will decrease, approaching the standard deviation of X. The sampling distribution of the mean becomes more normal as the sample size grows, showing less variability.
To make punch, Sophia mixes 2 liters of clear soda with 70 centiliters of cranberry juice and 236 milliliters of pineapple juice. How much punch does she have in total?
Answers
0.236 + 0.7= 0.936
A regular hexagon is shown.
What is the length of the apothem, rounded to the nearest inch? Recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon.
4 in.
5 in.
9 in.
11 in.
Answers
In a 30-60-90 triangle, the sides are is the ratio of:
[tex]x \: \\ x \sqrt{3} \\ and \: 2x[/tex]
where x is opposite the 30° and 2x is opposite the 90°
Since the base is 10 and the hypotenuse is 10, 1/2 that is 5 (the x), and so:
[tex]x \sqrt{3} = 5 \sqrt{3} = 8.66[/tex]
So rounded up, you apothem then is closest to D) 9 in.
The length of the apothem of a regular polygon that has a radius of 10 inches would be 9 inches .
What is the apothem of a regular polygon?The apothem of a regular polygon is defined as a line segment from the center to the midpoint of one of its sides.
It is Given that the hexagon has a radius of 10 inches and the length of the radius is equal to the length of each side of the hexagon.
The apothem AB divides the side of the hexagon into two equal parts of 5 Inches.
Using Pythagoras Theorem
[tex]10^2 = 5^2 + AB^2\\AB^2 = 10^2 -5^2\\AB^2 = 100 - 25\\AB^2 = 75\\AB = \sqrt{75}[/tex]
AB = 8.66
So, rounded up, we get the apothem closest to D that is 9 in.
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Brainliest for a math answer
Answers
question 6- is 9
question 7-is 4
question 8-is 21
Question 9-is 2
question 10-not sure sorry :(
Tell me if your right ;)
We know b is 7 and a is 2 so plug it in
7 - 2= 5
5=5
The answer is 5
The second question is b / a = ___
We know b is 18 and a is 2 so plug it in
18/2=9
9=9
The answer is 9
Witch of the following is closest to 27.8 X 9.6 is it 280, 2800, 300, or 3000
Answers
Hope this helps and thank you for using Brainly!
Find the value of the variable.
Answers
And x is 58
The sum of two right angles always, sometimes, never results in a straight angle. Justify answer
Answers
I hope that helps u
Adding two right angles, each being 90 degrees, always results in a straight angle, which is 180 degrees, so this is always true.
Explanation:The sum of two right angles always results in a straight angle. This can be justified with a basic understanding of angles in a flat plane. A right angle is 90 degrees and a straight angle is 180 degrees. So, if you add two right angles together (90 + 90), you get 180, which is the measure of a straight angle. Hence, this is always true, regardless of the vectors or other elements you are working with. It's also important to note that in broader geometric terms, this statement is also always true: two angles that add up to form a straight line (180 degrees) are referred to as supplementary angles.
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How many students had a shoe size greater than the mean shoe size?
Answers
If sinθ = -1/2 and θ is in Quadrant III, then tanθ = _____.
Answers
Answer: [tex]\tan \theta=\dfrac{1}{\sqrt3}.[/tex]
Step-by-step explanation: Given that
[tex]\sin\theta=-\dfrac{1}{2}[/tex] and [tex]\theta[/tex] lies in Quadrant III.
We are to find the value of [tex]\tan \theta.[/tex]
We will be using the following trigonometric identities:
[tex](i)~sin^2\theta+\cos^2\theta=1,\\\\(ii)~\dfrac{\sin\theta}{\cos{\theta}}=\tan \theta.[/tex]
We have
[tex]\tan\theta\\\\\\=\dfrac{\sin\theta}{\cos\theta}\\\\\\=\dfrac{\sin\theta}{\pm\sqrt{1-\sin^2\theta}}\\\\\\=\pm\dfrac{-\frac{1}{2}}{\sqrt{1-\left(\frac{1}{2}\right)^2}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\sqrt{1-\frac{1}{4}}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\frac{\sqrt3}{2}}\\\\\\=\pm\dfrac{1}{\sqrt3}.[/tex]
Since [tex]\theta[/tex] lies in Quadrant III, so tangent will be positive.
Thus,
[tex]\tan \theta=\dfrac{1}{\sqrt3}.[/tex]
Adam earns a base pay plus a commission for each car he sells at Crazy Carl's Cool Cars. His monthly salary is modeled by the function f(c) = 250c + 500. If Adam doesn't sell a car, how much money does he earn for the month?
Answers
Answer: 500
Step-by-step explanation:
Since, The monthly salary is modeled by the function,
f(c) = 250 c + 500.
According to the question,
Adam earns a base pay plus a commission for each car he sells at Crazy Carl's Cool Cars.
In the given function c is a variable.
Thus, c must show the number of cars.
Thus, the base pay must be free from any variable.
In the above expression 500 is free from the variable c therefore, 500 is the base pay of Adam.
⇒ f(c) is the total earning by Adam after selling a car.
If he Does not sell any car then c=0,
f(0) = 250×0+500 = 500
Therefore, if he does not sell any car then his earning is 500.
What do they call the guy who invented the first blue jeans
Answers
Answer:
Levi Strauss!
Step-by-step explanation:
By the 1860s, Levi Strauss's blue pants were daily wear for miners and farmers and cattlemen throughout the West. In 1873 he bought, for $69—the price of the patent application — an idea from a Russian immigrant tailor in Reno for making miner's pants stronger by riveting the critical seams.
Hope this helped!
On which number line do the points represent negative 4 and 1 over 2 and +3?
Answers
In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50cm. Find the lengths of all sides.
Answers
If the short side is X, the other two sides would be 2X and 2X (since the short side is twice shorter)
P = x + 2x + 2x
50 = 5X
10 = X
Short side is 10, other two sides are 2(10) or 20.
Twice the smallest of three consecutive odd integers is nine more than the largest. find the integers.
Answers
2x =9+ x+4 Twice the smallest is nine more than the largest
2x - x= 13
x= 13 the first
the second integer 15 the third 17
The required Integers are 13, 15, 17
What are the Integers?
Integers are the collection of whole numbers and negative numbers.
Given that twice the three consecutive odd Integers is nine more than the largest.
Let the numbers be x , x+2 , x+4
According to question
2x = 9+x+4
x = 13
Hence the Integers are 13, 15, 17
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Two buses leave towns 1631km apart at the same time and travel toward each other. one bus travels 17 /kmh slower than the other. if they meet in 7 hours, what is the rate of each bus?
Answers
the first bus travels a total of 7x km, the second bus travels 7(x-17)km, together they travel the total distance of 1631 km
7x + 7(x-17) =1631
7x + 7x -119 =1631
14x=1750
x=125
x-17=108
Marcia can make 5 candles in an hour. Kevin can make only 4 candles in an hour, but he already has 7 completed candles. Explain to Marcia how she can use a system of equations to determine when she will have the same number of candles as Kevin. Use complete sentences.
Answers
k = kevin's total amount of candles
h = amount of hours
so in 1hr she makes 5(1), in 2hrs she makes 5(2) and 3 she makes 5(3), in "h" hours she makes 5h.
kevin makes in 1hr 4(1), in 2hrs 4(2) and 3hrs 4(3), in "h" hours 4h. But kevin already has 7 candles done from the day before, so the 4h is really additional to his 7 candles.
[tex]\bf \begin{cases} m=5h\\\\ k=4h+7 \end{cases}\impliedby \textit{when are they equal?}\qquad \stackrel{m}{5h}~~=~~\stackrel{k}{4h+7}\\\\ -------------------------------\\\\ 5h=4h+7\implies h=7[/tex]
The Garcias have $12,000 in a saving account. The bank pays 3.5% interest on saving accounts, compounded monthly. Find the balance after 3 years?
Answers
A=p (1+r/k)^kt
A the balance?
P present value 12000
R interest rate 0.035
K compounded monthly 12
T time 3years
A=12,000×(1+0.035÷12)^(12×3)
A=13,326.49
Hope it helps!
To find the balance after 3 years in a savings account with $12,000 and a 3.5% interest rate compounded monthly, we can use the formula for compound interest.
Explanation:To find the balance after 3 years, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A is the final amountP is the principal amount (initial balance)r is the annual interest rate (as a decimal)n is the number of times interest is compounded per yeart is the number of yearsPlugging in the given values:
P = $12,000r = 0.035n = 12 (monthly compounding)t = 3 yearsThe formula gives us:
A = $12,000(1 + 0.035/12)^(12*3)
Calculating this expression will give us the balance after 3 years.
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2. For the circle with equation , answer each question.
(a) What are the coordinates of the center?
(b) What are the radius and diameter of the circle?
(c) Graph the circle.
Answers
You have to recognize this circular equation form.
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
------------------------------------------------
What are the coordinates of the center?
Ans: (2,-3)
(B) The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
(C) Realize that the circle is centered at the origin (no h and v) and place this point there.Calculate the radius by solving for r. Set r-squared = 16. ...Plot the radius points on the coordinate plane. ...Connect the dots to graph the circle using a smooth, round curve.
A can of paint is 15 centimeters high and has a ddiameter of 13.6 cm. what is the volue of the can? Round to the nearest tenth.
Answers
Answer:
V=πr2h=π·6.8^2·15≈2179.00866
2179 cm^3
Step-by-step explanation:
Find the difference.
5wx2 − 2wx2
Answers
=3wx2
hope it helps
John Gray bought a basic car for $32,750.00, with options that cost $375.00. There's a 6% sales tax in his state and a combined $50.00 license and registration fee. What was John's total cost
Answers
6% of that is $1,987.50 (33,125 x 0.06)
$1,987,50 + $33,125 + $50=
$35,162.50
Answer:
The total cost of the car be $35162.5 .
Step-by-step explanation:
As given
John Gray bought a basic car for $32,750.00, with options that cost $375.00.
Cost of the car = Car cost + Option cost
= $32750 + $375
= $33125
As given
There's a 6% sales tax in his state .
6% is written in the decimal form.
[tex]= \frac{6}{100}[/tex]
= 0.06
Sales tax price = 0.06 × 33125
= $ 1987.5
As given
A combined $50.00 license and registration fee.
Than
Total cost of the car = Cost of the car + Sales tax price + license and registration fee.
= $33125 + $ 1987.5 + $ 50
= $35162.5
Therefore the total cost of the car be $35162.5 .
The length of each side of a square prism is ten ft