Answers
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[tex] \frac{3x}{x - 2} = 7 \\ [/tex]
Multiply sides by ( x - 2 )
[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]
Simplification
[tex]3x = 7x - 14[/tex]
Subtract sides 7x
[tex] - 7x + 3x = - 7x + 7x - 14[/tex]
Simplification
[tex] - 4x = - 14[/tex]
Negatives simpliflies
[tex]4x = 14[/tex]
Divide sides by 4
[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]
[tex]x = \frac{7}{2} \\ [/tex]
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Answer:
x = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )
3x = 7(x - 2) ← distribute
3x = 7x - 14 ( subtract 3x from both sides )
0 = 4x - 14 ( add 14 to both sides )
14 = 4x ( divide both sides by 4 )
[tex]\frac{14}{4}[/tex] = x , that is
x = [tex]\frac{7}{2}[/tex]
Related Questions
what is the value of y in the equation 2 + y = -3 ?
Answers
Answer:
y=- -5 (negative 5)
Step-by-step explanation:
Which of the following points would be on the graph of the equation y=−4x+6?(−4, −10)(−4, 22)(1, −10)(1, −2)
Answers
Answer:
Only the point (-4, 22) is ON THE GRAPH of the equation. Please also check the attached graph.
Step-by-step explanation:
Given the equation
[tex]y=-4x+6[/tex]
Let us substitute all the given points to check which points satisfy the equation.
Substitute (-4, -10) in the equation
[tex]y=-4x+6[/tex]
[tex]-10=-4(-4)+6[/tex]
[tex]-10=16+6[/tex]
[tex]-10=22[/tex]
As the R.H.S ≠ L.H.S, hence (-4, -10) does not satisfy the equation.
Hence, (-4, -10) is NOT ON THE GRAPH of the equation
Substitute (-4, 22) in the equation
[tex]y=-4x+6[/tex]
[tex]22 = -4(-4)+6[/tex]
[tex]22 = 16+6[/tex]
[tex]22 = 22[/tex]
As the R.H.S = L.H.S, hence (-4, 22) satisfies the equation.
Hence, (-4, 22) is ON THE GRAPH of the equation. Please also check the attached graph.
Substitute (1, -10) in the equation
[tex]y=-4x+6[/tex]
[tex]-10=-4(1)+6[/tex]
[tex]-10=-4+6[/tex]
[tex]-10=2[/tex]
As the R.H.S ≠ L.H.S, hence (1, -10) does not satisfy the equation.
Hence, (1, -10) is NOT ON THE GRAPH of the equation
Substitute (1, -2) in the equation
[tex]y=-4x+6[/tex]
-2 = -4(1)+6
-2 = -4 + 6
-2 = 2
As the R.H.S ≠ L.H.S, hence (1, -2) does not satisfy the equation.
Hence, (1, -2) is NOT ON THE GRAPH of the equation
Therefore, from the above analysis, we conclude that only the point (-4, 22) is ON THE GRAPH of the equation. Please also check the attached graph.
2-\dfrac12n=3n+162− 2 1 n=3n+16
Answers
Answer:
2-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+162-\dfrac12n=3n+162− 2 1 n=3n+16
Step-by-step explanation:
May I have brainliest please? :)
Can you factor x^4- 8x + 16
Answers
Answer:
no u cnt
Step-by-step explanation:
Answer:
Step-by-step explanation:
The expression is not factorable with rational numbers.
x^4 − 8x + 16
Which of these angles are
adjacent angles?
Answers
Answer:
A and C
Step-by-step explanation:
they have a common side and a common vertex
Choose the slope-intercept form of 3x + 2y = 5
Answers
Answer:
y = -3/2x + 5/2
Step-by-step explanation:
slope intercept form is y = mx + b
so we have to solve the equation for y
2y = 5 - 3x
y = 5/2 -3/2x
or
y = -3/2x + 5/2
Two sisters bought together 14 books. One bought 9 books. Which of the following equation represent the number of books bought by the other sister (x)?
Answers
Answer:
9+x=14
Step-by-step explanation:
The x represents the other sister and all the books together would equal 14. The other sister got 5 books!
The equation that represents the number of books bought by the other sister is x + 9 = 14.
Here, we have,
given that,
Two sisters bought together 14 books. One bought 9 books.
To represent the number of books bought by the other sister (x) given that the two sisters bought together 14 books and one sister bought 9 books, we can use the equation:
x + 9 = 14
In this equation, x represents the number of books bought by the other sister.
The equation states that the sum of the number of books bought by the other sister (x) and the sister who bought 9 books is equal to the total number of books bought together, which is 14.
Therefore, the equation that represents the number of books bought by the other sister is x + 9 = 14.
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Question 1
Find an expression equivalent to 8(2x+1)(x-2)(x+3)
Answers
Answer:
18x + 13
Step-by-step explanation:
just add like terms after multiplying 2x + 1 by 8
16x + 8
x - 2
x + 3
18x + 13
Mark has only used 8.5% of a 34-oz bottle of shampoo. How many ounces has he used?
Answers
Given:
Mark has only used 8.5% of a 34-oz bottle of shampoo.
To find:
How many ounces has he used?
Solution:
According to the question,
Shampoo used by Mark = 8.5% of a 34-oz
[tex]=\dfrac{8.5}{100}\times 34\text{-oz}[/tex]
[tex]=0.085\times 34\text{-oz}[/tex]
[tex]=2.89\text{-oz}[/tex]
Therefore, he used 2.89-oz of shampoo.
11) -9b^3 + 9b^2 + 2b
A) quadratic trinomial
B) cubic binomial
C) cubic monomial
D) cubic trinomial
Answers
Answer:
D. Cubic trinomial
Step-by-step explanation:
An equation for cubic trinomials look like this: Ax^3+bx^2+cx
how many times 24 could go into 164
Answers
Answer:
Step-by-step explanation:
ZERO
Is the sequence arithmetic? If yes, determine the common difference. *
(1 Point)
-14-9, -4, 1, 6, ...
O no, it does not increase or decrease the exact same amount
O yes, d = 5
O yes, d = -5
Answers
Answer:
Option 2: Yes, d= 5 is the correct answer
Step-by-step explanation:
An arithmetic sequence is a sequence where the common difference between the consecutive terms is same.
Given arithmetic sequence is:
-14, -9, -4, 1, 6
To check if it is an arithmetic sequence, we have to find the common difference d
[tex]a_1 = -14\\a_2 = -9\\a_3 = -4\\a_4 = 1[/tex]
Now,
[tex]d = a_2-a_1 = -9-(-14) = -9+14 = 5\\d = a_3 - a_2=-4-(-9) = -4+9 = 5\\d = a_4-a_3 = 1-(-4) = 1+4 = 5[/tex]
As the common difference is same, the given sequence is an arithmetic sequence.
Hence,
Option 2: Yes, d= 5 is the correct answer
What is the slope in the equation y=3/4x
What is the y-intercept also?
Answers
Answer:
slope = 3/4
y- intercept : (0,0)
Step-by-step explanation:
Haley spent 1/2 hour playing on her cell phone that use 1/9 of her battery how long does she have to play on her phone to use the entire battery?
Answers
Answer:
4 1/2 hours.
Step-by-step explanation:
If 1/2 an hour only used up 1/9 of her battery, 9, 1/2 would give us 9/2, which if you simplified it gets you 8 1/2 hours. Hope this helps! Have a great day!
Understanding Elevation
Death Valley, Califomia, has an elevation of -282 feet What does this mean?
It is 282 feet above sea level
It is 282 feet below sea level.
It is - 282 feet above sea level
Itis - 282 feet below sea level
Answers
Answer:
Step-by-step explanation:
if it has a negative elevation of 282 feet than its below sea level by 282 feet if its 282 feet above with no negative than its 282 feet above sea level i hope this helped
Answer:
hi the answer is b)It is 282 feet below sea level.\
have a nice day!
Step-by-step explanation:
mark me brainliest?
GUYS HELP I GOT TOO MUCH TO DO CAN YOU DO ME A SOLID
Answers
Answer:
2 radical 13
Step-by-step explanation:
Answer:
Answer is C
Step-by-step explanation:
JUST trust my gut
A deal is a deal, so here is a good one, let's see who gets it right. I had $10.00. My mom gives me $30.00, My dad gave me $30.00. My aunt and uncle give $100.00. I had another $10.00. How much money did I have?
Answers
Answer:
$180 in total!
Step-by-step explanation:
10 + 30 + 30 + 100 + 10 = 180
the uncle and aunt gave their money together, it didn't specify that they each gave 100
Answer:
The total amount of money i have is $180.
Step-by-step explanation:
Given information:
The money i have = $10
Mom gives = $30
Dad gives = $30
Aunt and uncle gives = $100
Now i had another $10
The total amount of money (x) i have is the sum of all money i receive.
x = 10+30+30+100+10
x = 180
Hence , the total amount of money i have is $180.
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1. Given the measures shown in the diagram, which two triangles are congruent?
A. Q and S
B. R and T
C. R and S
D. Q and T
2. Given: ∆LMN and ∆PQR are isosceles.
What m∠P could be used to prove ∆LMN ≅ ∆PQR?
A. 42°
B. 58°
C. 61°
D. 69°
Answers
Number is 42 degrees if you multiple 42•2 is 84-26 is 58 and 42 plus 16 is 58 which are equal if you substitute any of the other choices it will not be equal
6 children run a 5 mile race. They each run the same distance.
How far did each student run?
Answers
Answer:
Techincally it would be 5 miles, but if they split the distance and run part of the 5 miles, it would be 5/6 miles.
Step-by-step explanation:
Techincally it would be 5 miles, but if they split the distance and run part of the 5 miles, it would be 5/6 miles.
What is Distance?Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are.
Given, If 6 children run a 5 mile race. They each run the same distance then how far did each student ran.
As all the 6 students running with same distance, they would be far of 5 miles, if they split the distance and run part of the 5 miles, it would be 5/6 miles.
Therefore 5 miles, but if they split the distance and run part of the 5 miles, it would be 5/6 miles.
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Aanya got 5 marks in Science test. Her friend Sneha got 'x' marks more than Aanya. How many marks did they get altogether?
Pls Answer FAST
Answers
Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions? The value of each expression is 2. The value of each expression is 6. The value of one expression is 2, and the value of the other expression is 6. The value of one expression is 6, and the value of the other expression is –6.
Answers
Answer:
The value of each expression is 6.
Step-by-step explanation:
3 * 4 = 12 and 3 * 6 = 18
So 3(4x - 6) = 12x - 18
12(2) - 18 = 24 - 18 = 6
Answer:
the value of each expression is 6
Step-by-step explanation:
edge 2020
Easy math question please answer ASAP!!!
Q. The sum of 9/26 and -4/13
The options are attached in the photo
A.
Answers
9/26+ (-8/26)
answer 1/26
Inside an auditorium, 1 out of 5 people wear hats, and 4 out of 5 people do not wear hats. Based on this information, predict how many wear hats if there are 215 people.
Answers
Answer:
43
Step-by-step explanation:
3(6d - 24) = 6(12 + 3d)
pls solve i need
Answers
3D = 32 or D = (10 2/3)
Step-by-step explanation:
We want to make D only one side so we subtract 3D from the left
Then we slowly make the equation smaller and smaller by adding 24 to each side, multiplying the numbers, then finally getting our answers.
Answer:
No solutions
Step-by-step explanation:
Distribute the 3 to the first set of parentheses:
3(6d - 24) = 6(12 + 3d)
18d - 72 = 6(12 + 3d)
Distribute the 6 to the other set of parentheses:
18d - 72 = 72 + 18d
Subtract 18d from both sides:
-72 = 72
-72 [tex]\neq[/tex] 72
Since -72 and 72 are not equal, there are no solutions
the douglas family visits sealand and is charged $72.00 for 2 adults and 3 child tickets. the williams family also visited sealand and was charged $78.00 for 1 adult and 5 child tickets. how much would it cost the lopez family to go to sealand if they have 3 adults and 4 children
Answers
2a + 3c = 72
1a + 5c = 78 you need to get one of them the same so do 1a +5c=78 x2 =
2a + 10c = 156 , then 2a + 10c = 156 subtract 2a +3c= 72 which is 7c = 84 divide by 7 each side so c = 12 so a child ticket is £12 then so the same for the adults so 2a +3c= 72 x 5 = 10a + 15c =360 then do 1a + 5c = 78 x3 = 3a + 15c= 234 then 10a + 15c =360 subtract 3a + 15 c= 234 = 7a = 126 then divide by 7 each side so a = 18 so an adults ticket is £18
Then do 18 + 18 + 18 + 12 + 12 + 12 + 12 = 102 so it would cost the Lopez family £102 to go to sea-land
hope this makes sense .
Consider similar figures QRS and TUV below where QRS is the pre-image of TUV
What is the scale factor?
Answers
Answer:
The scale factor is 2.5 to 1 which is 1/2.5
Step-by-step explanation:
Here, we want to get the scale factor in the given image
The scale factor we want to get is from the big to the small triangle
To get this, we find the ratio of the sides which are the same
Thus, we have ;
7/2.8 = 2.5
So the scale factor in this case is 2.5 to 1
Which of the following graphs represents the equation above -3x+2y=8
Answers
Answer:
Is there a picture of the graphs...?
Step-by-step explanation:
Anyways, the answer should be y= 3/2x +4
If you show me the graphs I could possibly help you find which one is correct.
Answer:
Step-by-step explanation:
Here are the graphs, which one goes with
y = 4 + 3/2x ?
What is the 4th equivalent fraction to 1/8
Answers
Answer:
2/16
Step-by-step explanation:
this is the 4th equivalent fraction to 1/8
Shawn said that in standard notation,
7.142 x 107 will have 7 zeros after the
2 because the exponent is a 7. Is he
correct? Why or why not?
Answers
Answer:
Shawn is incorrect.
Step-by-step explanation:
The decimal is moving 7 places to the right. The 2 is the third digit, so there will be 4 0s after it.
A city's population is currently 500,00. If the population doubles every 41 years, what will the population be 164 years from now?
Answers
Answer:
2,000,000
Step-by-step explanation:
164 ÷ 41 = 4
500,000 x 4