Answers
By, Cross multiplying, we get
\(⇢2x(x - 1) = (2x - 1)(x + 2)\)
\(⇢2 {x}^{2} - 2x = 2x(x + 2) - 1( x+ 2)\)
\(⇢2 {x}^{2} - 2x = 2 {x}^{2} + 4x - x - 2\)
Here, \(2 {x}^{2} \) from both sides will get cancelled
\( ⇢- 2x = 3x - 2\)
\(⇢ - 2x - 3x = - 2\)
\( ⇢- 5x = - 2\)
\( ⇢x = \frac{ - 2}{ - 5} \)
\( ⇢ \underline { \boxed{ x = \frac{2}{5} }} \)
Answer:
\(x=\frac{2}{5}\)
Step-by-step explanation:
\(\frac{2 x}{x+2}-\frac{x}{x-1}=1\)
\(\begin{aligned} & \Leftrightarrow \frac{2 x(x-1)}{(x+2)(x-1)}-\frac{x(x+2)}{(x-1)(x+2)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x}{(x+2)(x-1)}-\frac{\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-\left(x^{2}+2 x\right)}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{2 x^{2}-2 x-x^{2}-2 x}{(x+2)(x-1)}=1 \\& \Leftrightarrow \frac{x^{2}-4 x}{(x+2)(x-1)}=1 \\\end{aligned}\)
\(\begin{aligned}& \Leftrightarrow x^{2}-4 x=(x+2)(x-1) \\& \Leftrightarrow x^{2}-4 x=x^{2}-x+2 x-2 \\& \Leftrightarrow x^{2}-4 x=x^{2}+x-2 \\& \Leftrightarrow-4 x=x-2 \\& \Leftrightarrow 5 x=2\end{aligned}\)
therefore,
\(x=\frac{2}{5}\)
Related Questions
how to solve 526.8- 318.05
Answers
Answer: 208.75
Step-by-step explanation: The result of 526.8−318.05 is 208.75. Basically
you use long subtraction to solve this equation. The image I attached will show you how to do it:
4.5 multiplied by x = 81. what represents x?
Answers
18 represents x
10x4.5=45
8x4.5=36
45+36=81
Answer is 18
Which quadratic equation defines the function that has zeros at -8 and 6?
x^2+2x-48 =0
x^2-2x-48=0
x^2+2x+48=0
x^2−2x+48=0
Answers
help pls or don't and be guilty for the rest of the day
Evaluate the numerical expression.
2
3
− (−
1
6
)
A) −
1
3
B) −
2
3
C)
1
3
D)
5
6
Answers
2 the answer is 2 because 2 is 2
I need help with this question, I'm not very good at math and all help is appreciated!
Answers
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
\(\frac{J}{H} = G + \frac{I}{H}\) >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
\(\frac{J}{H}- \frac{I}{H} = G\) >There is a common denominator so you can
combine the fractions
\(\frac{J-I}{H} = G\) >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
\(J-I = G(H)\) >Divide both sides by G
\(\frac{J-I}{G} = H\) >Answer is A
Ravi started an assignment at 8:25 AM and finished it at 9:53 AM.
How long did it take him? Give your answer in minutes.
Answers
Answer:
it took him and hour, and 28 mins
Step-by-step explanation:
Translate the sentence into an equation. Two less than the product of 5 and a number equals 9. Use the variable c for the unknown number.
Answers
Answer:
The equation is: \(5c-2=9\)
Step-by-step explanation:
Since 2 less than the product of 5 and a number c is equal to 9, it follows:
\(5c-2=9\)
Since there are ten of them I will give 45 points (I only have 90) I'm giving you all my points for this guys. Please give me a real answer.
In the following questions, determine whether the equation has a solution, no solution, or an infinite number of solutions. Specify which, and then solve the equation if there is a solution.
7(x-5)=x+13
-6x=-5(x-1)-x
-4(x-2)=-2(x-17/2)
3-4x+5=2(8-2x)
2x+3=+2x
2x+3=2x+5
3x+9=2.5x+14
7(x-4)=4x+5
5x-20=-7x-20
3(2x+1)-4x=2x+3
Answers
Answer:
i only know 1. is 8
and also 5. 0= −3
Step-by-step explanation:
Answer and Step-by-step explanation:
7(x-5)=x+13
Distribute the 7, then solve for x.
7x - 35 = x + 13
6x = 48 (Added 35, subtracted x)
x = 8 (Divided by 6)
One solution
-6x=-5(x-1)-x
Distribute the -5, then combine like terms. Solve for x.
-6x = -5x + 1 - x (negative times negative equals positive)
-1 = 0 (Added 6x, subtracted the x from 1x, subtracted 1)
No solution
-4(x-2)=-2(x-17/2)
Distribute the -4 and -2, then solve for x.
-4x + 8 = -2x + 17 (negative times negative equals positive) (the 2's cancel out to be 17)
-9 = 2x (Added 4x, subtracted 17)
-9/2 = x
One solution
3 - 4x + 5 = 2(8 - 2x)
Distribute the 2, combine like terms. Solve for x.
8 - 4x = 16 - 4x
0 = 8
No solution
2x + 3= +2x
3 = 0
No solution
2x+3=2x+5
0 = 2
No solution
3x+9=2.5x+14
0.5x = 5
x = 10
7(x-4)=4x+5
7x - 28 = 4x + 5
3x = 33
x = 11
One solution
5x-20=-7x-20
12x = 0
x = 0
One solution
3(2x+1)-4x=2x+3
6x + 3 - 4x = 2x + 3
2x + 3 = 2x + 3
0 = 0
Infinite solutions (The reason why this one is infinite is because if you were to plug in any value for x, the result will equal itself, like the 0 = 0.
#teamtrees #WAP (Water And Plant)
PLEASEE HURRY AND HELP ME NO WRONG ANSWERS :( !!!!!!!!!!
LOOK AT THE IMAGES BELOW !!!!!!!!!!!!!
Answers
Answer:
Hello, for the first one, the answer should be (C) 3
The following transformation is an enlargement, meaning it would get bigger. Meaning that the scale factor increases by 3.
2x3=6
3x3=9
Therefore, the scale factor is (C) 3.
#5: The answer is (D): 4
Since this is an enlargement, we have to determine what ? x 6 = 24 is. Since the height of the photo is 6, we can conclude that 6 x 4 = 24.
Therefore, the answer is (D): 4
Hope this helped! Sorry for the complications <33
What is the prime factorization of 51?
Enter the factors from least to greatest.
Answers
Answer: is 3 and 17
Step-by-step explanation:
So, the prime factorization of 51 is 51 = 3 × 17, and the prime factors of 51 are 3 and 17.
Answer:
Step-by-step explanation:
1) Use prime factorization.
3 | 5 1
|______
17
2) Therefore, the prime factors are:
3, 17
Factors of 51
1, 3, 17, and 51
thanks.
would someone mind answering this for me? ty:)
Answers
Answer:
2.5=150, 180=3, 5=300, and 390=6.5
Step-by-step explanation:
I used a calculator
Answer:
2.5=150, 180=3, 5=300, and 390=6.5
Step-by-step explanation:
there are a total of 75 students in the robotics club and the science club the science club has 11 more students than the robotics club how many students in the science club
Answers
Answer:
The Science club has 86 Students
Step-by-step explanation:
75+11=86
What is the rate in change?
Answers
Answer:
A rate of change is a rate that describes how one quantity changes in relation to another quantity. If x is the independent variable and y is the dependent variable, then. rate of change=change in y change in x. Rates of change can be positive or negative.
Step-by-step explanation:
Which group of numbers is listed from least to greatest?
|-4|, 5, |-6|, 7, |-8|
|-8|, |-6|, -1, 5, 8
-6, |-7|, |-8|, 0, 2
9, 7, 5, |-4|, |-3|
Answers
With |-4| being the absolute would make it 4
With -41 being the absolute would make it 4
I need help with this as fast as possible please
Answers
to get a number you got to multiply ========2564
Solve the equation. –3|y – 3| = 9
Answers
Answer:
y = 0
Step-by-step explanation:
-3(y-3)=9
One solution was found :
y = 0
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-3*(y-3)-(9)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(0 - 3 • (y - 3)) - 9 = 0
Step 2 :
Equation at the end of step 2 :
-3y = 0
Step 3 :
Solving a Single Variable Equation :
3.1 Solve : -3y = 0
Multiply both sides of the equation by (-1) : 3y = 0
Divide both sides of the equation by 3:
y = 0
Answer:
No solution
Step-by-step explanation:
–3|y – 3| = 9
⇌ (Divide both sides by -3)
|y – 3| = -3 impossible
because |y – 3| is greater than 0 and -3 is less than 0.
In a board game, you must roll two 6-sided number cubes. You can only start the game if you roll a 3 on at least one of the number cubes.
A) Make a list of all the different possible outcomes when two number cubes are rolled.
B) What fraction of the possible outcomes is favorable?
C) Suppose you rolled the two number cubes 100 times, would you expect at least one 3 more or less than 34 times? Explain
Answers
A) You can have
1-1; 1-2; 1-3; 1-4; 1-5; 1-6; 2-2; 2-3; 2-4; 2-5; 2-6; 3-3; 3-4; 3-5; 3-6; 4-4; 4-5; 4-6; 5-5; 5-6; 6-6
Those are all possible outcomes
B) Only 6 of the options include at least one three
The fraction is: 6/21 or simplified 2/7
C) To find this answer we need a percentage
to find that...
6/21 and ?/100
(When writing put it as a fraction to visually see the next part)
We will cross-multiply: the ? will be represented by x
(6 times 100) + (21x)
600 = 21x
Now divide 600 by 21 to get about 28.6
Since 28.6 < 34 then we would get a probability of less than 34 out of 100
Give brainliest to other person lol. I answered ur other question on the same thing tho
Rewrite each equation without absolute value for the given conditions: \(y=|x-5|+|x+5|\) if x<-5
Answers
Answer:
y = 10, if x < -5
Step-by-step explanation:
![Rewrite each equation without absolute value for the given conditions: [tex]y=|x-5|+|x+5|[/tex] if x<-5](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/1k4RlvqG02HMkUuWFWFIqpNc0juBSdzY.jpeg)
Help please? I will mark brainlist..........
Answers
Answer:
P(Red)= 8/24=1/3
P(Green)= 4/24=1/6
P(red or white) = 8/24+5/24= 13/24
P(not white nor green)= 24/24-(5/24+4/24)= 15/25
P(all colors except yellow)= 24/24- 7/24= 17/24
P(black)= impossible
Answer:
Total Balls: 24
1. Probability of choosing red
\(\frac{8}{24}=\frac{1}{3}\)
33.33%
2. Choosing Green
\(\frac{4}{24} =\frac{1}{6}\)
16.66%
2. Choosing either red or white
\(\frac{13}{24}\)
54.166%
3. Choosing neither white nor green
\(\frac{15}{25}\)
62.5%
4. Choosing other than yellow
\(\frac{17}{24}\)
70.83%
5. Choosing black
\(\frac{0}{24}\)
0%
How to put the fractions into a percent is you take the numerator(top number) and divide it by the denominator(bottom number). Then multiply it by 100.
you are at the store buying milk and eggs and you want to know if you have enough money to pay for them should you estimate or exact numbers
Answers
Answer:
Estimate on the higher side
Step-by-step explanation:
Round up, not down, because A, you might miss a number, or B, you forget taxes.
-hope it helps
Answer:
The more accurate thing to do would be to work out the exact value. However, if in a rush, you should estimate the value with the prices rounded to the next whole number.
The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 6 cases and its height are shown. The height of 6 DVD cases is 66 mm. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 14 cases.
Answers
Answer:
The answer is 11 becasue 66 divided by 6 equals 11
Step-by-step explanation:
Hope this helped
A dance student wants to know the favorite type of dance class for students at The Dance Academy. She surveys each student in her ballet class. In which way could the results of her survey be most improved? She could sample an equal number of students in each type of dance class. She could sample a proportional number of students in each type of dance class. She could sample one student in each type of dance class. She could sample one teacher from each type of dance class.
Answers
Answer: (B) She could sample a proportional number of students in each type of dance class.
Step-by-step explanation: 100%
The teacher should sample a proportional number of students in each type of dance class so that it possess all qualities of a good sample.
What is a good sample?Firstly, the sample should be representative of the population. The teacher's goal is to determine the favorite type of dance class for students. Thus, sample should also consist of students only. This rules out option four. Sample cannot consist of teachers.
Secondly, the sample should be large enough to draw meaningful conclusions from it. This rules out option three. Sampling one student in each type of dance class will not give reliable results.
Third, the sample should be proportional. It will give truly accurate results id each unit or group of the population is fairly represented in the sample. Therefore, option two i.e., sampling a proportional number of students in each type of dance class is the best choice.
Learn more about good sample here
https://brainly.com/question/13708253
#SPJ3
1/3d + 10 = 3/5d
plz help i will give u 5 stars
Answers
Answer:
Exact form: d=75/2
decimal form: d=37.5
mixed number form: d=37 1/2
Step-by-step explanation:
pls help me with these problems?
Answers
Answer:
Step-by-step explanation:
2. D=21 F=33 E=126
3. G=64 I=52 H=64
4. J=28 K=115 L=37
A rectangle measures 2 1/4 meters by 1 7/8 meters. What is its area??
Answers
Hello!
2^1/4 * 1^7/8
= 0.5 * 0.125
= 0.0625
Step by step equation:
Separate the whole numbers and fractions.
Whole numbers: 2, 1
Fractions: 7/8, 1/4
Now simplify the fractions.
To make the fractions have even denominators we must multiply 1/4 by 2 on the top and bottom, changing 1/4 into 2/8.
Now that the fractions are simplified we multiply them together. 7/8 • 2/8 = 14/8. We now turn this into a mixed number, 1 and 6/8’s.
Now let’s multiply the whole numbers,
2•1 = 2. Now that we have all the numbers laid out let’s combine them.
2 + 1 + 6/8 = 3 6/8’s. Since this is out area you want to make sure to label the product correctly and the label here is meters so the answer would come out to be:
3 6/8’s meters sq.
Hope this helps!
Please Help
I need an answer ASAP
Answers
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
Can someone pls help me with this first right answer gets brainlist
Answers
116.
you add the m<1 and the m<3 and make them equal to 180. the value of x can then be substituted into the m<3 making the answer 116.
what is 6/8 times 5
make sure its a fraction
Answers
Answer:
6/8 x 5 is 15/4
Answer:
3 3/4
Step-by-step explanation:
3.75 = 3+0.75 = 3+75/100
gcd(75,100) = 25
3.75 = 3+(75/25)/(100/25) = 3+3/4 = 15/4
If this helped you out (which I hope it did lol) make sure to make this brainliest, I would greatly appreciate it.
at a market 5 light bulbs cost nine dollars how much does 7 light bulbs cost I need help now
Answers
Answer:
\(\huge\boxed{\sf \$ \ 12.6}\)
Step-by-step explanation:
Given that,
5 light bulbs = $9
Using unitary method.
Divide both sides by 55/5 light bulb = $9/5
1 light bulb = $ 1.8
Multiply both sides by 71 × 7 light bulbs = $1.8 × 7
7 light bulbs = $ 12.6\(\rule[225]{225}{2}\)
$9/5=$1.80
$1.80 x 7=$12.6
It’s 12.6