Answers
Final Answer: [tex]x = 12[/tex]
Steps/Reasons/Explanation:
Question: What is the solution to the equation [tex]\frac{1}{2}x + 3 = \frac{2}{3}x + 1?[/tex]
Step 1: Simplify [tex]\frac{1}{2}x[/tex] to [tex]\frac{x}{2}[/tex].
[tex]\frac{x}{2} + 3 = \frac{2}{3}x + 1[/tex]
Step 2: Simplify [tex]\frac{2}{3}x[/tex] to [tex]\frac{2x}{3}[/tex].
[tex]\frac{x}{2} + 3 = \frac{2x}{3} + 1[/tex]
Step 3: Multiply both sides by [tex]6[/tex] (LCM of [tex]2, 3[/tex]).
[tex]3x + 18 = 4x + 6[/tex]
Step 4: Subtract [tex]3x[/tex] from both sides.
[tex]18 = 4x + 6 - 3x[/tex]
Step 5: Simplify [tex]4x + 6 - 3x[/tex] to [tex]x + 6[/tex].
[tex]18 = x + 6[/tex]
Step 6: Subtract [tex]6[/tex] from both sides.
[tex]18 - 6 = x[/tex]
Step 7: Simplify [tex]18 - 6[/tex] to [tex]12[/tex].
[tex]12 = x[/tex]
Step 8: Switch sides.
[tex]x = 12[/tex]
~I hope I helped you :)~
Related Questions
geometry help please :)
Answers
Answer:
If this is looking at the line In the center then F.
Step-by-step explanation:
The line in the center is the Niscetor of the line segment AC
A two digit number is such that, the sum of its digit is 13.When the digits are interchange, the original number is increased by 9. Find the original number.
Answers
Answer:
Concept: Mathematical Representation
You have a two digit # __ The sum of the two digit # = 13The original # increased by 9 Hence we must find values that sum to 13. *Note they must be independently standing.8+5, 9+6, 7+6 , 6+7 , and etcThe value must also increase by 9 So logically it would be any result that when switched that value would be 76-67= 9.So the value must be 67A rectangle is 3 cm longer than it is wide. The diagonal is 15 cm. Find the dimensions of the rectangle?
Answers
Answer:
The length is 12 cm, and the width is 9 cm.
Step-by-step explanation:
The length and width of a rectangle as legs form a right triangle with the diagonal of the triangle as the hypotenuse.
We can use the Pythagorean theorem to write an equation.
Let the width = w = leg a
The length = w + 3 = leg b
The diagonal = the hypotenuse = 12 = c
a^2 + b^2 = c^2
w^2 + (w + 3)^2 = 15^2
w^2 + w^2 + 6w + 9 = 225
2w^2 + 6w - 216 = 0
w^2 + 3w - 108 = 0
(w + 12)(w - 9) = 0
w + 12 = 0 or w - 9 = 0
w = -12 or w = 9
Since a width cannot be a negative number, we discard the solution w = -12.
width = w = 9
length = w + 3 = 9 + 3 = 12
Answer: The length is 12 cm, and the width is 9 cm.
Quickly plz What is the value of x?
O liv units
O 2 13 units
O 2/3 units
O 3v3 units
Answers
Answer:
[tex]x=3\sqrt{2}\\[/tex]
Step-by-step explanation:
Since the smaller triangles have a side of the same length, they share one side, and the included angle is 90°, the triangles are congruent.
This means the length of the side to the left is also x as shown in the image below.
The bigger triangle is also right and has side lengths of x, x, and 6 (the hypotenuse), thus:
[tex]x^2+x^2=6^2[/tex]
Operating:
[tex]2x^2=36[/tex]
[tex]x^2=18[/tex]
Since 18=9*2
[tex]x=\sqrt{9*2}[/tex]
[tex]\mathbf{x=3\sqrt{2}}[/tex]
The options are not clear enough, so I cannot make a choice.
The volume of a gas in a container varies inversely as the pressure on the gas. If a gas has a volume of 129 cubic inches under a pressure of 3 pounds per square inch,
what will be its volume if the pressure is increased to 5 pounds per square inch? Round your answer to the nearest integer if necessary
Answers
Answer:
the volume is 77 in³
If bc+ad=b solve for a (please show work)
Answers
Answer:
a = [tex]\frac{b-bc}{d}[/tex]
Step-by-step explanation:
Given
bc + ad = b ( subtract bc from both sides )
ad = b - bc ( isolate a by dividing both sides by d )
a = [tex]\frac{b-bc}{d}[/tex]
True or false? The sum of the exterior angles depends on how many sides there are in the polygon?
Answers
Answer: true i believe
Step-by-step explanation:
Which of these is a factor of x3 – 3x2 ?
Question 19 options:
A)
x + 2
B)
x + 3
C)
x – 2
D)
x – 3
Answers
Answer:
The answer is D, x - 3.
Step-by-step explanation:
If we factor x^3-3x^2, the result is x^2(x-3).
Answer:
D
Step-by-step explanation:
Given
x³ - 3x² ← factor out x² from each term
= x²(x - 3) ← in factored form
with one of the factors being x - 3 → D
7k = 3k - 36
It’s gotta be a step by step equation
Answers
Given the equation y= X+ 9, what is the y-intercept?
A.-1/2
B.9
C.1/2
D.-9
Answers
Answer:
B
Step-by-step explanation:
9 is where you graph it first, to start your line. this would mean that it is B
Can the sides of a triangle have lengths 2, 7, and 10?
Yes or No
Answers
Answer:
No
Step-by-step explanation:
2+7 must be larger than the other side
If 3 is multiplied by a fraction less than 1, which of these could be the product?
a) 2/2
b) 3
c) 10/2
b) 4
Answers
Rectangle A'B'C'D' is a translation of rectangle ABCD . Table of vertices is shown below . Find the coordinates of points B and D' .
Answers
Answer:
B(2,10)
D'(4,-1)
Step-by-step explanation:
ok to find this we need to know what the translation is
from (2,2) to (-4,-1)
subtract 6 from x and subtract 3 from y
im gonna chak another just in case
3rd one
(10,10) to (4,7)
same rule
so for the second one they give us (-4,7)
to get this we subtracted 6 from x and 3 from y from original so
lets work backwards
add 6 from x and add 3 from y
(-4,7)+(6,3)
answer(2,10)
now D'
subtract 6 from x and 3 from y
(10,2)-(6,3)
(4,-1)
(1) A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat AND cheese. How many sandwiches were made?
So i wanna know how much were made and not how much of everything is of cheese and meat got it? okay thank you ^^
Answers
Answer:
13 sandwiches were made
Step-by-step explanation:
91 divided by (4+3) would be the equation.
Calculate the average time it took the car to travel 0.25 and 0.50 meters with two washers attached to the pulley. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answers
Answer:
1.92 second at 0.25 meters.
2.61 second at 0.50 meters.
Step-by-step explanation:
the average 2 washers on time travel of:
0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second
0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second
In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:
A) In 0.25 meters in 1.92 second.
B) In 0.50 meters in 2.61 seconds.
We know that some information is given in the statement as:
In 0.25 meters the car speeds are: 1.94/ 1.95/ 1.87In 0.50 meters the car speeds are: 2.69 / 2.72 / 2.42Knowing that the formula for calculating time is given by:
[tex]Time= Distance/Speed[/tex]
So we have:
A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]
B) [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]
See more about time at brainly.com/question/2570752
If one angle of a parallelogram is 70 degrees, what are the sizes of other angles?
Answers
Answer:
70, 110, 70, 110
Step-by-step explanation:
opposite interior angles are equal
the sum of adjacent interior angles equal 180
Solve for n:
12n + 3 – 3n = 30
n = ?
Answers
Answer:
n=3
Step-by-step explanation:
12n-3n=30-3
9n=27
n=27/9
n=3
Which of the following does not cycle into the atmosphere? a. the carbon cycle b. the phosphorus cycle c. the nitrogen cycle d. the oxygen cycle Please select the best answer from the choices provided A B C D
Answers
Answer: b. the phosphorus cycle
Answer:
its B
Step-by-step explanation:
Please help this is math equation!
SIKE lol
Answers
Answer:
oop lol
Step-by-step explanation:
welp
Answer:
oop hello mortals how are yall doing
find the equation to the straight line through (1,1) and parallel to x²_5xy+4y²+x+2y_2
Answers
School lunches cost $224.75 for 15.5 weeks. About how much would the lunches cost per week?
Answers
Answer:$14.50
Step-by-step explanation:
Divide 224.75 by 15.5 and you will get the cost for per week.
Oh so you like math name every digit in pi
Answers
did you mean name every flavor of pie
Plz help. WIll give brainliest
Answers
Answer: 25.9
Step-by-step explanation:
im really bad in math so could anybody help me
Answers
Answer:
B , D , A ,C
Step-by-step explanation:
PEMDAS
Answer:
= 5² = 25
= 36 ÷ 6 = 6
= 6 × 3 = 18
= 18 + 25 = 43
Step-by-step explanation:
The order of operations is PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction From Left to Right.
First is Exponents.
5² = 5×5 = 25
From left to right, division comes first.
36 ÷ 6 = 6
Then multiplication.
6 × 3 = 18
Lastly, addition.
18 + 25 = 43
Hope that helps.
Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m
Answers
Answer:
So, the system of equations are
x+y=40
x= 3 y
Step-by-step explanation:
Let's make system of equations for the given information.
Let x number of bracelets and y number of necklaces made.
So, for the information
She makes a total of 40 bracelets and necklaces, we can set up equation as
x+y=40
Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as
x=3 y
Help please thank you!!
Answers
the bottom. 1/23 something it that one
A photography studio charges $50 for a sitting fee and 6 prints. Luigi increased his order to 11 prints and paid $65. Write an equation in point-slope form.
HELP ME PLEASEEEE!!!
Answers
Answer: Sitting fee - 32$
Step-by-step explanation:
This is a system of equations(let x represent the sitting fee)
x+6y=50
x+11y=65
You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y
Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65
Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3
Now that y = 3 input this into any equation I choose the 1st one.
x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)
x = 32
Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True
3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it
Answers
Answer:
r = 2
r = -1
Step-by-step explanation:
So first, we need to get this is order of: ax^2 + bx + c
3r^2 - 6 - 3r
3^2 - 3r - 6
the formula is: -b ± √b^2 -4ac/2a
"ax^2 + bx + c" = "3^2 - 3r - 6"
a = 3
b = -3
c = -6
-b ± √b^2 -4ac/2a
-(-3) ± √(-3)^2 -4(3)(-6)/2(3)
3 ± √9 + (-12)(-6)/6
3 ± √9 + (72)/6
3 ± √9 + 72/6
3 ± √81/6
3 ± 9/6
3 - 9/6
-6/6
-1 = r
3 + 9/6
12/6
2 = r
Formula down below --
|
V
PLEASE HELP MEEE what is the y-intercept of this line?
A. (-2, 0)
B. (0, -2)
C. (0, 1)
D. (1, 0)
Answers
I need it so I can see if my answer it right or wrong
Answer:
What is the line? The link isn't working...
Step-by-step explanation:
Wait, nevermind... I got it! The answer is B. (0,-2)
Hope that helps and please give me brainliest!!!
Natasha has a $50 gift certificate
to the jewelry store. She has
chosen several bracelets that are
$20 each. If the cost of the
bracelets is $30 after the gift
certificate is credited, how many
bracelets did Natasha buy?
Answers
Answer:
she bought 4 braclets
Step-by-step explanation:
if you do 20 times 4 it gets you 80 and if you subtract 50 it leaves you with 30 meaning she bought 4 bracelets
i do hope this helps even tho my explanation isn't exactly the best