Answer:
x= -8/3
Step-by-step explanation:
(x-6)-(x+2)=3x
step 1) remove parentheses
x-6-x-2=3x
step 2) combine like terms
-8=3x
step 3) solve for x by dividing by 3 on both sides
-8/3 = x
Answer:
See below
Step-by-step explanation:
Hi there!
We want to solve the following equation:
(x-6)-(x+2)=3x
In this equation, notice how in front of (x+2), there is a minus sign
It's the same as if the equation was:
(x-6) + -1(x+2)=3x
We'll need to distribute the -1 to both terms, x and 2
so:
-1(x+2)= -1*x + -1*2= -x + -2, or -x-2
As for the (x-6), we can just open up the parenthesis without doing anything.
So on the left side, it becomes:
x -6 -x -2 = 3x
Now we can combine like terms.
x and -x are like terms, while -6 and -2 are like terms
x and -x add up to equal 0, while -6 and -2 add up to equal -8
-8 = 3x
Now, we have 3x by itself, but remember we just want x, or 1x.
Dividing a number by itself will result in 1
So we can divide both sides by 3
*note: we shouldn't divide by 3x. When we divide by 3, the result is [tex]\frac{3x}{3}[/tex], which if we cancel out the 3 from the numerator and denominator, gets the same result as 1x. If we divided by 3x, we'd just be getting 1 on the right side, while we'd be getting [tex]-\frac{8}{3x}[/tex] on the left, which isn't what we want.
-8/3=x
Hope this helps!
what is the scale factor? 4/x = 8/3
Answer:
x= 3/2
Step-by-step explanation:
8/3= 2.6 repeating
4/(3/2)= 2.6 repeating
A video game system is on sale for 20% it’s original price. If the original price is $300 , how much money will be saved?
Answer:
$240
Step-by-step explanation:
The new price of the video game system is 300*1/5, which is $60. Since we want the money saved, we do 300-60, which is 240
A four-person relay team completed a race in 73 seconds. On average,
what was each runner's time?
Answer:
about 18.25 s
Step-by-step explanation:
73 is the total, there are 4 people
73÷4=18.25
18.25 tells us the average time it took for each to complete their lap
Is ghi a right triangle?
Yes
No
SORRY BUT IM A FILIPINO I DONT KNOW
Answer: NO
thank you and please give me a brainliest
Step-by-step explanation:
Karen needs to take her pet kitten, Scooter, to the vet for a checkup. It's hard to get Scooter into his carrying case for the trip to the vet. He never wants to go! Scooter's carrying case has a rectangular front that is 11 inches wide and 9 inches tall. The case is 16 inches long. What is the volume of Scooter's carrying case?
11 × 9 × 6 = 594
volume = 594 inches^3
Answer:
/////
Step-by-step explanation:
36
This is my first time using brainly and I don’t know what the question is telling me to do so please help!
A game show contestant starts
a game by answering two
questions incorrectly. Each
incorrect answer costs the
contestant $600. Use a
product of two integers to
show the point total that
would appear for the
contestant.
Answer:
Hi well the answer to the question itself is -1200 but I'm not sure abt the "product of two integers" part but this is a great start what I would suggest is try to find out what it is your teacher wants then using the -1200 to get answer - hope I helped
Sketch a graph of the function a(x) = 12 *x+4.
Describe the transformations to the graph of y = x.
A rectangular prism has dimensions of 2 cm by 2 cm by 3 cm. What is its surface area?
Explain or show your reasoning.
A = 1/2h(B+b); A = 81, B = 2, b= 7
Answer:
81 = 1/ 2h(9)
Step-by-step explanation:
A= 1/2h(B + b)
A= 81
B= 2
b= 7
81= 1/2h (2+7)
1/ 2 x h (2 + 7)
1/ 2x h(9)
Answer 81 = 1/ 2h(9)
If this helps kindly please hit the brainliest thank you!!
3x^2/3 - 2x^1/3 - 1 = 0
Answer:
x=1
Step-by-step explanation:
PLZ HELP MEH FOR A BUNCH O POINTS PLLLLLLZZZZZZZZZ I NEED NUMBER 2 BASED ON NUMBER 1!!!!!!
Answer:
$93.56
Step-by-step explanation:
93.56 / 4 = 23.39
So each person needs to pay $23.39.
PLEASE MARK AS BRAINLIEST!!!!!−x−4y+2z=
\,\,-2
−2
-x+3y+2z=
−x+3y+2z=
\,\,-2
−2
x+9y-4z=
x+9y−4z=
\,\,-4
−4
9514 1404 393
Answer:
(x, y, z) = (8, 0, 3)
Step-by-step explanation:
Maybe you want to solve the system of equations represented by the augmented matrix ...
[tex]\left[\begin{array}{ccc|c}-1&-4&2&-2\\-1&3&2&-2\\1&9&-4&-4\end{array}\right][/tex]
Your graphing calculator can provide the solution for you:
(x, y, z) = (8, 0, 3)
_____
If you want to solve this by hand, it works reasonably well to make a plan based on the values of the coefficients. We notice only the y-coefficient differs in the first two equations, telling us that y=0. This immediately reduces the system to two equations in x and z. The x-coefficients are opposites, so we can easily eliminate x to find z.
You can subtract the first equation from the second to find the value of y.
(-x +3y +2z) -(-x -4y +2z) = (-2) -(-2)
7y = 0 ⇒ y = 0
Substituting for y in the first and third equations, you can add those together:
(-x +2z) +(x -4z) = (-2) +(-4)
-2z = -6 ⇒ z = 3
Substituting into the last equation gives ...
x -4(3) = -4 ⇒ x = 8
Then the solution is (x, y, z) = (8, 0, 3).
12. Graph 3x - 2y < 9
desmos is a great website for this!
solve pls brainliest
Answer:
The LCD is 56
Step-by-step explanation:
When the numbers are numerically close to each other, you can multiply them together.
7x8=56
the answer to your question is 56.
The sum of two numbers is 207. The difference between the two numbers is 11. Find the greater number?
Answer:
109
Step-by-step explanation:
Let the greater number=x
therefore, the other number=x-11
Since,
x+x-11=207
==>2x-11=207
==>2x=218
==>x=109
The greater number is 109.
What is Algebra?Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
given:
The sum of two numbers is 207.
The difference between the two numbers is 11.
let the first number be x
and another number be y
then,
x + y =207
x - y = 11
On solving
11 + y + y =207
2y = 196
x = 98
and, y = 207-98= 109
Hence, the larger number be 109.
Learn more about algebra here:
https://brainly.com/question/13715639
#SPJ2
Evaluate x(y+3)/(3+y)z for x=12, y=1, and z=6.
A) 2
B) 5
C) 8
D) 6
Answer:
2
Step-by-step explanation:
We take the equation
[tex]x(y+3)/(3+y)z[/tex]
and substitute the values for each individual variable in the problem. It looks like this:
[tex]12(1+3)/(3+1)6[/tex]
Now we can solve the equation.
When solved, it equals 2.
a^3 = 216. What does a equal??
Answer:
A=6
Step-by-step explanation:
A^3=A*A*A=216
A=6
Answer:
6
Step-by-step explanation:
a³= 216 can be rewritten as:
a · a · a = 6 · 6 · 6
Therefore:
a=6
Kendra is practicing to take an aptitude test. In order to pass, she must have a score of at least 1,396. On the first official test she took, she made a score of 986. After studying, she took a practice test and raised her score by 68 points. Assuming her score continues to rise by 68 points each time she retakes the practice test, which inequality could be used to find t, the number of practice tests that Kendra would need to take before she is ready to pass the official test?
A.
(986 + 68)t < 1,396
B.
(986 + 68)t > 1,396
C.
986 + 68t < 1,396
D.
986 + 68t > 1,396
Answer:
I think the awnser would be A or B. But i think the awnser might be A.
Step-by-step explanation:
Sorry if wrong i'm only in seventh grade.
Because
Number 10 please
Don’t understand it
Answer:
i don't think the answer is there
Step-by-step explanation:
6[-5 3]
[0. -4]
6[-5(-4) - 3(0)]
6[20 - 0]
6[20]
120
no answer
PLease help! I will give you a lot of points! (Section 8.7)
Answer: The buyer will save 18k dollars
Step-by-step explanation:
He is saving 18k becuase that is 8 percent of 21k
Answer:
The 20 year 8% year loan is more economicalThe buyer will save $159650Step-by-step explanation:
Use the given formula to calculate each option and compare.
Option 1
P = $210000r = 8.5% = 0.085t = 30n = 1Find the PMT:
[tex]P(r/n)/(1-(1+r/n)^{-nt})=210000*(0.085)/(1-(1+0.085)^{-30})=19541[/tex]Find the total interest amount:
30*$19581 - $210000 = $377430Option 2
P = $210000r = 8% = 0.08t = 20n = 1Find the PMT:
[tex]P(r/n)/(1-(1+r/n)^{-nt})=210000*(0.08)/(1-(1+0.08)^{-20})=21389[/tex]Find the total interest amount:
20*$21389 - $210000 = $217780We see option 2 reveals less interest amount, so is more economical.
Saving on interest:
$377430 - $217780 = $159650I. Diana's entire garden is a
rectangle measuring 5 yards by 6
yards. She plans to plant a
vegetable garden in 2/3 of this
area. How many square yards will
she plant in vegetables?
Answer:
20 square yards
Step-by-step explanation:
5 times 6 equals to 30 square yards. Then divide this by 3 to get 10 and multiply by 2. Then you get an answer of 20 square yards
a certain number of yams is sufficient to feed 20 students for 12 days for how many days would the same number of yams feed 15 students
Step-by-step explanation:
no of days = (15×12)/20= 9 days
I hope this helps
15 students consume it in = (20×12)÷15
= 16 days
Describe how the x-coordinates of h(x)=f(x-3) compare to the x-coordinates of the parent function
write the equation in slope intercept form. what are the slope and y-intercept? -5x-12y=11
Answer:
y= -5/12x - 11/12
Step-by-step explanation:
i dont have any explanation
Answer:
y = -[tex]\frac{5}{12}[/tex]x - [tex]\frac{11}{12}[/tex]; Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is[tex]-\frac{11}{12}[/tex].
Step-by-step explanation:
-5x - 12y = 11. Write the equation.
-12y - 5x + 5x = 5x + 11 Isolate -12y by adding 5x to both sides.
[tex]\frac{-12y}{-12}[/tex] = [tex]\frac{5x}{-12}[/tex] + [tex](\frac{11}{-12})[/tex] Isolate y by dividing both sides by -12.
y = [tex]-\frac{5x}{12} + (- \frac{11}{12})[/tex] Switch the + to - to eliminate the parenthesis.
y = [tex]-\frac{5}{12}x - \frac{11}{12}[/tex] is now in slope-intercept form.
Slope is [tex]-\frac{5}{12}[/tex]; y-intercept is [tex]-\frac{11}{12}[/tex].
Drag and Drop the correct answer into the boxes below.
Answer:
the first blank is 100
the second is 80
Step-by-step explanation:
There are 91 rooms in a hotel.52 rooms are reserved. What fraction of the rooms are reserved?
Answer Properly. Otherwise, I report you.
to find remaining rooms 91-52=39
turn into a fraction =39/91
answer=39/91
Question 2 (Multiple Choice Worth 1 points)
(02.04 LC)
Write the equation of a line that goes through point (0, 1) and has a slope of 0.
X= 1
X=0
Y= 0
Y = 1
Answer:
y = 1
Step-by-step explanation:
Slope of 0 is a horizontal line
The horizontal line through (0, 1) is
y = 1
Needing b
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto 1=0(0)+b[/tex]
[tex]\\ \sf\longmapsto b=1[/tex]
Equation of the line
[tex]\\ \sf\longmapsto y=0x+1[/tex]
[tex]\\ \sf\longmapsto y=1[/tex]
A pack of 3 video games costs 128.85 How much is each video game?
Answer:
$42.95
Step-by-step explanation:
128.85 divided by 3 is 42.95.
each video game costed $42.95
hope this helps
Solve for the value of n.
Answer:
n=8
Step-by-step explanation:
9n=8n+8
n=8
{vertical angles are equal}
Answer:
n = 8
Step-by-step explanation:
Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.
Given that m < (9n)° and m < (8n + 8)° are vertical angles, then it means that they have the same measure. Therefore, we can solve for the value of n by establishing the following equation:
9n = (8n + 8)
9n = 8n + 8
Subtract 8n from both sides:
9n - 8n = 8n - 8n + 8
n = 8
To double-check whether we came up with the correct value for n, substitute n = 8 into the equation:
9n = (8n + 8)
9(8) = [8(8) + 8]
72 = 64 + 8
72 = 72 (True statement)
Therefore, the correct answer is n = 8.
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
Hello, this is what I’ve got so far, please help me somebody!
Answer:
6 .... 1
3 ... 1/100
9.... 1/1000