Find the solutions to the rational equation:
x+2 2x-4
3
2
(2 pts)
A
X = 2
B
x = 6
с
x = -2
D
x = 4
Answers
Answer:
D
Step-by-step explanation:
[tex]\frac{x+2}{3}[/tex] = [tex]\frac{2x-4}{2}[/tex] ( cross- multiply )
3(2x - 4) = 2(x + 2) ← distribute parenthesis on both sides
6x - 12 = 2x + 4 ( subtract 2x from both sides )
4x - 12 = 4 ( add 12 to both sides )
4x = 16 ( divide both sides by 4 )
x = 4
[tex] \longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]
What to Find : -In this question we have to find the value of x .
Let's Get start Solving : -[tex]\longrightarrow \frac{x + 2}{3} = \frac{2x - 4}{2} [/tex]
So , by cross multiplying :
[tex] \longrightarrow \: 2(x + 2) = 3(2x - 4)[/tex]
Now , calculation left hand side as well as right hand side :
[tex]\longrightarrow \: 2x + 4 = 6x - 12[/tex]
Now , transposing 6x to left hand side and 4 to right hand side :
[tex]\longrightarrow \: 2x - 6x = - 12 - 4[/tex]
Now , solving left hand side and right hand side :
[tex]\longrightarrow \: - 4x = - 16[/tex]
As negative sign is present on both the side , so it will cancel out :
[tex]\longrightarrow \: \cancel - 4x = \cancel- 16[/tex]
Now we have :
[tex]\longrightarrow \: 4x = 16[/tex]
Now we are transposing 4 to right side and it will change into division from multiplication :
[tex]\longrightarrow \: x = \cancel \frac{16}{4} [/tex]
So we get :
[tex]\longrightarrow \: \green{ \boxed{ \bold x = 4}}[/tex]
Therefore value of x is 4 .Verification : -We are verifying our answer by putting value of x in given question :
[tex]\longrightarrow \frac{4 + 2}{3} = \frac{2(4) - 4}{2} \: [/tex]
Solving ,
[tex]\longrightarrow \: \frac{6}{3} = \frac{8 - 4}{2} [/tex]
Now subtracting 8 and 4 :
[tex]\longrightarrow \: \frac{6}{3} = \frac{4}{2} [/tex]
Now , dividing 6 by 3 and 4 by 2 :
[tex]\longrightarrow \cancel{\frac{6}{3} } = \cancel{\frac{4}{2} }[/tex]
We get :
[tex]\longrightarrow \: \bold{2 = 2}[/tex]
That means ,
[tex]\longrightarrow L.H.S = R.H.S[/tex]
Hence Verified .Therefore our answer is correct .#[tex] \sf{Keep \: Learning}[/tex]Related Questions
Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of the following shows how to find all the different possible choices of 1 size, 1 crust, and 1 pizza topping Randall can buy?
Answers
Answer:
240
Step-by-step explanation:
5x4x12=240
if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)
now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
5x4x12=240. You have 240 different possible choices
DARIO is a regular pentagon, RIP is an equilateral triangle, and EIOU is a square.
Answers
The area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).
How to explain the shape?From the complete question, the area of the shaded region 1 will be:
= Area of regular hexagon - Area of regular pentagon
The shaded region 2 will be:
= Area of a square - Area of equilateral triangle
Therefore, the area of the shaded region will be equal to the (area of the hexagon - area of pentagon) + (area of a square - area of equilateral triangle).
Learn more about triangles on:
https://brainly.com/question/17335144
The zero product property states that if a . b = 0, then a = 0, b = 0, or both a = 0 and
b=0.
Speculate as to how you think this property might help you when you solve algebraic
equations of the form: (x-r) (xs) = 0.
Answers
Answer:
We all know that if one factor is equal to zero, then the product of all factors is equal to zero.
[tex]ab = 0[/tex] so [tex]a = 0[/tex] or [tex]b=0[/tex]
You have to rewrite the equation as a factored quadratic set both equal to zero.
Example: [tex](x-r_{1} )(x+r_{2}) =0\\[/tex] to [tex](2-2)(-2+2) =0[/tex]
[tex]r_{1} = -2 r_{2} = 2[/tex]
[tex]x = 2, -2[/tex]
I hoped this helped
Suppose the confidence interval (0. 6358, 0. 7532) represents the proportion of Skyline College students who say math is their favorite subject. A. Based on the confidence interval, is it likely 60% of Skyline College students say math is their favorite subject? No, 0. 60 is not contained in the interval Yes, 0. 60 is not contained in the interval Yes, all the interval values are greater than 0. 60 b. Based on the confidence interval, does it appear that more than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 Yes, 0. 60 is not contained in the interval No, 0. 60 is not contained in the interval c. Based on the confidence interval, does it appear that fewer than 60% of Skyline College students say math is their favorite subject? Yes, all the interval values are greater than 0. 60 No, 0. 60 is not contained in the interval No, all the interval values are greater than 0. 60
Answers
Considering the confidence interval, the interpretation regarding wheter 60% of Skyline College students say math is their favorite subject is:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
What is the interpretation of a x% confidence interval?It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.
In this problem, the confidence interval for the proportion of students who say math is their favorite subject is (0.6358, 0.7532).
Since the entire interval is above 0.6, and it does not contain 0.6, the correct answer for each question is given as follows:
A. No, 0. 60 is not contained in the interval.
B. Yes, all the interval values are greater than 0.60.
C. No, all the interval values are greater than 0.60.
More can be learned about confidence intervals at https://brainly.com/question/25890103
Can I help someone for brainiest?
(MATH ONLY)
answer this question with link to question
Answers
Chase bought a pair of athletic shoes on sale for $38.85. The original price was $57.79. How much money did he save buying them on sale?
A.
$18.94
B.
$19.94
C.
$29.94
D.
$96.94
Answers
Answer:
A. 18.94
Step-by-step explanation:
57.79 (Original Price) - 38.85 (Sale Price) = 18.94 (Difference)
Can someone please help me??? Due today! WILL GIVE BRAINLIEST!!! (Please complete both!) (1&2) there is one in the photo and one below
1. Multiply four and eight tenths multiplied by three.
1. thirteen and one tenth
2. thirteen and four tenths
3. fourteen and two tenths
4. fourteen and four tenths
Answers
Answer: 20 over 4 or 4/20
Step-by-step explanation: I belive this is you answer for number 2.
Need help with this math question
Answers
Answer:
SAS
Step-by-step explanation:
The sides are equal on the same side
the angles are also equal
and the other sides too
The base of an isosceles triangle is represented by the expression 3x - 1. Each of the legs of the isosceles triangle is twice the base. Write an expression for the perimeter of the triangle listing each side. Simplify the expression. (if possible show your work.)
Answers
Answer: 15x-5
Step-by-step explanation:
The cone has a height of 6 and a diameter of 3 inches. What is the volume?
Answers
Answer:
14.14
Step-by-step explanation:
We know that to calculate volume of a cone you must do π r^2*h/3
so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14
Your new cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk. You use 50 additional minutes this month. What is your bill for the month?
CLEAR CHECK
Answers
Answer:
55
Step-by-step explanation:
cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.
Let the monthly charge be y and x be the number of additional minutes.
So, the equation becomes,
y = 50 + 0.10(x)
For, The given month the additional minutes are 50.
so, y = 50 + 0.10(50) = 55
Answer:
here;
per month-50$ for 400 m
now'
50*0.10$
5$
again;
monthly + additional
50+5
$55
21. & 22. Instructions: Find the missing side. Round your answer to the nearest tenth.
Answers
answer
14.7
step by step explanation
[tex]using \: tan73 = \frac{opposite}{adjacent} \\ tan73 = \frac{48}{x} \\ 3.271 = \frac{48}{x} \\ making \: x \: the \: subject \\ x = \frac{48}{3.271} \\ x = 14.674 \\ x = 14.7 \: (approximately)[/tex]
PLEASE HELP WITH MATH!!
Answers
CW part
An airplane flies 2,070 miles in 4.5 hours. What is the speed of the airplane in miles per hour? Use the equation d=rt, where dis distance, ris rate, and t is time.
The airplane's speed is miles per hour.
Answers
Answer:
sorry but I actually don't know about it sorty
Answer:
460 miles/hour
Step-by-step explanation:
Distance = Speed x Time
We want the Speed, so let's rearrange the equation:
Speed = Distance/Time
We are given Distance = 2070 miles
and Time of 4.5 hours
Speed = (2070 miles)/(4.5 hours)
Speed = 460 miles/hour
Compare by finding the LCM of denominator 3/8 and 3/4
Answers
LCM = 8
[tex]\frac{3}{8}[/tex] < [tex]\frac{6}{8}[/tex]
Step-by-step explanation:Finding the LCM is useful to compare the size of 2 different fractions.
LCM
First, let's define LCM. LCM stands for least common multiple. A multiple is a product of 2 numbers. For example, the multiples of 4 include 4, 8, 12, etc. The LCM of 4 and 8 is 8.
Comparing
Using the LCM we can find new fractions with the same denominator. These fractions are [tex]\frac{3}{8}[/tex] and [tex]\frac{6}{8}[/tex]. From this, we can tell that 6/8 is larger than 3/8.
what is the answer 58×100 =
a. 1220
b.1555
c5678
d5800
Answers
Answer:
Answer D is correct
Step-by-step explanation:
Let us solve this now.
58
× 100
000
00
+ 58
= 5800
------------------------------------------------------------------------------------------
Let us solve this sum in a different way.
If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.
58 × 100 = 5800
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answers
Answer:
1.9998 inches = radius
Step-by-step explanation:
V=(4/3)πr³
33.5 = (4/3)πx³
33.5 * 3/4 = (4/3)πx³(3/4)
25.125 / π = (πx³) / π
[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]
1.9998 = x
In a supermarket, small wedges of cheese each weighing 0.25kg are cut from tins of cheese that weighs 2.5kg. How many wedges can be cut from one tin of cheese? ( Its division)...
Answers
Answer:
10 wedges
Step-by-step explanation:
To find the number of wedges, the total weight should divided by weight of one wedge.
[tex]\text{Number of Wedges = $2.5 \div 0.25$}\\[/tex]
[tex]= \dfrac{2.5*100}{0.25*100}\\\\\\=\dfrac{250}{25}\\\\\\= 10 \ \sf wedges[/tex]
The sum of 2 numbers is 55 the greater number is 17 times the smaller number plus 1 find the number
Answers
Answer:
3, 52
Step-by-step explanation:
The given relation can be expressed by the equation ...
x +(17x +1) = 55 . . . . . . where x represents the smaller number
__
Solution
18x = 54 . . . . . . . . . collect terms, subtract 1
x = 3 . . . . . . . . . divide by 18
The smaller number is 3. The larger number is 55-3 = 52.
Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the
explicit rule for this sequence in simplified form?
Answers
Answer:
[tex]a_{n} =500(n) + 30,000[/tex]
Step-by-step explanation:
Hey there!
This equasion is correct because [tex]500[/tex] is being multiplied by the multiplyer which is [tex]n[/tex], how many years have gone by
After that The equasion adds [tex]30,000[/tex] because he started with [tex]30,000[/tex].
Answer:
The answer is [tex]a_{n} =500n+29,500.[/tex]
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is a1 = 30,000.
Step-by-step explanation:
The answer is [tex]a_{n} =500n+29,500.[/tex]a_n = 500n + 29,500. It is easy to check: just plug in n = 1, and you'll get the first year's salary = 500•1 + 29,500 = 30,000.
Another way to find it is [tex]a_{n} =30,000+500(n-1)=30,000+500n-500=29,500+500n[/tex].
The recursive rule is [tex]a_{n} =a_{n-1} + 500[/tex]; [tex]a_{1}=30,000[/tex]. In other words, the nth term is the previous term + 500. The first term, as given, is [tex]a_{1}=30,000[/tex].
can anyone answer this???
Answers
Answer:
9 3/10
Step-by-step explanation:
5 4/5 = 5 8/10
3 1/2 = 3 5/10
3 5/10 + 5 8/10 = 9 3/10
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:5 \frac{4}{5} + 3 \frac{1}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{29}{5} + \frac{7}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{58 + 35}{10} [/tex]
[tex]\qquad \tt \dashrightarrow \:\frac{93}{10} [/tex]
[tex]\qquad \tt \dashrightarrow \:9\frac{3}{10} [/tex]
what is the measure of an angle that turns through 1/5 of a circe
Answers
What is the solution of the inequality shown
below?
x-1 < -10
Answers
Answer:
x<-9
Step-by-step explanation:
x−1<−10
Add 1 to both sides.
x<−10+1
Add −10 and 1 to get −9.
x<−9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hoped this helped :)
Answer:
x < -9
Step-by-step explanation:
Bring like terms to one side⇒ x - 1 < -10
⇒ x < -10 + 1
⇒ x < -9
The solution is x < -9 or x is less than negative 9 Meghan crocheted a triangular shawl.
3.61 ft 3 ft 3.61 ft 4 ft
What is the area of the shawl?
A. 6 square feet
B. 11.22 square feet
C. 12 square feet
D. 17.22 square feet
Answers
. PLEASE THIS IS A BIG TEST HELP FAST
Identify the correct measure of the pen, to the nearest 1/8 inch.
Answers
HELP ASAP * 70 POINTS*
Answers
area of triangular prism:
( perimeter x length ) + base x height[tex]\dashrightarrow \sf (4+3+5) \ x \ 7 \ + 3 \ x \ 4[/tex]
[tex]\dashrightarrow \sf 96 \ ft^2[/tex]
Answer:
Step-by-step explanation:
A = 7 ft
B = 5 ft
C = 3 ft (base of the triangle)
D = 4 ft (height of the triangle)
Surface area of prism = base *height + ( B + C + D)*A
= 4*3 + (5 + 3 + 4) * 7
= 12 + 12 *7
= 12 + 84
= 96 square ft.
What is an equation of the line with slope -4/5 and y-intercept 2?
Answers
Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then
y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line
PLS HELP THIS IS DUE TOMMROW
Write the prime factorization of the
numerator and denominator of this
fraction. Then reduce the fraction.
420
630
(Question 18 on the pic)
I WILL MARK AS BRAINLYEST AND GIVE POINTS
Answers
Answer:
Reducing 420/630
420/630 = (?)
420/630 = (2 x 2 x 3 x 5 x 7)/(2 x 3 x 3 x 5 x 7) How i got this is explained at the bottom*
= 2/3
420/630 = 2/3
The simplest form of 420/630 is 2/3
2/3 is the lowest term of 420/630.
Prime FACTORING:
This should help for visuals for 420:
420
| \
210 2
| \
105 2
| \
35 3
| \
7 5
This should help for visuals for 630:
630
| \
315 2
| \
105 3
| \
35 3
| \
7 5
What is the solution to the equation 5x + 2(x − 4) = 5x + x − 10? (1 point) a 3 b 2 c −2 d −3
Answers
Answer: C= -2
Step-by-step explanation:
Answer:
C. -2
Step-by-step explanation:
5x + 2(x − 4) = 5x + x − 10
Subtract 5 from both sides,
5x + 2(x - 4) - 5x = 5x + x - 10 - 5x
Simplify,
2(x - 4) = x - 10
Distribute,
2x - 8 = x - 10
Add 8 to both sides,
2x - 8 + 8 = x - 10 + 8
Simplify,
2x = x - 2
Subtract x from both sides,
2x - x = x - 2 - x
Simplify,
x = -2
write 755 minutes to the nearest hour
Answers
if you want a whole number, then say about 12hours
[tex] \huge\mathcal\green{ANSWER} [/tex]
[tex] \mathcal\red{755 \: minutes \: is \: equal \: to \: 12.58 \: hours.} [/tex]
[tex] \mathcal\blue{12.58 \: hours \: to \: the \: nearest \:hour \: is \: 13\: hours} [/tex]
