Answer:
x = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1-x}{1+x}[/tex] = [tex]\frac{2x+1}{-2x+5}[/tex] ( cross- multiply )
(2x + 1)(1 + x) = (1 - x)(- 2x + 5) ← expand parenthesis on both sides using FOIL
2x + 2x² + 1 + x = - 2x + 5 + 2x² - 5x , simplify
2x² + 3x + 1 = 2x² - 7x + 5 ( subtract 2x² from both sides )
3x + 1 = - 7x + 5 ( add 7x to both sides )
10x + 1 = 5 ( subtract 1 from both sides )
10x = 4 ( divide both sides by 10 )
x = [tex]\frac{4}{10}[/tex] = [tex]\frac{2}{5}[/tex]
Answer:
x = 2/5
Step-by-step explanation:
[tex]\frac{1-x}{1+x}=\frac{2x+1}{-2x+5}[/tex]
Cross multiply,
(1 - x)(-2x + 5) = (2x +1)(1 + x)
Use FOIL method to multiply,
1*(-2x) + 1*5 - 2x *(-x) + 5*(-x) =2x *1 + 2x *x + 1*1 + 1*x
-2x + 5 + 2x² -5x = 2x + 2x² + 1 + x
Combine like terms,
-2x - 5x + 2x² + 5 = 2x² + 2x +x + 1
-7x + 2x² + 5 = 2x² + 3x + 1
-7x + 2x² - 2x² - 3x = 1 - 5
-7x - 3x = - 4
-10x = -4
x = -4/-10
x = 2/5
(1) The point R is halfway between the -6 and -5 on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
2.
If you have a word problem that mentions the number of students in your school, what
variable would you assign to the number of students?
Answer:
If you're looking at all the students together, a variable you could use would be S.
If you're looking at separate sexes, you could use B & G.
State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family you used in part a. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40-hour work weeks per month, and each part-time worker works two 40-hour weeks per month.
HOUSING $1,386
FOOD $804
CHILD CARE $1,709
Transportation $1,235
HEALTH CARE $908
OTHER NECESSITIES $884
TAXES $1,483
Monthly Total $8,409
Annual Total $100,909
Answer:
these teachers b expectin u to do this bs
Step-by-step explanation:
the length of a rectangle is y. the width of the rectangle is (3x+1). what is an expression for the area of the rectangle?
a bricklayer stacks bricks in 2 rows with 10 bricks each in each row on top of each row there is a stack of 6 bricks how many bricks are there in total
Let me see.
Row 1 = 10 bricks
Row 2 = 10 bricks
On top of each row there are 6 bricks.
Two rows times 6 bricks per row is 12 bricks.
Total = 20 + 12 or 32 bricks.
simplify this please −4(8k+5)−5(9k+4)
Answer:
- 77k - 40
Step-by-step explanation:
Given
- 4(8k + 5) - 5(9k + 4) ← distribute both parenthesis
= - 32k - 20 - 45k - 20 ← collect like terms
= - 77k - 40
what is the distance between (-8,5) and (-1,5)
Answer:
7 units
Step-by-step explanation:
(see attached for reference)
given two points (x₁, y₁) and (x₂, y₂), the formula for distance between two points is given as
Distance, D = √( (x₂-x₁)² + (y₂-y₁)² )
in our case, we are given
(x₁, y₁) = (-8,5)
(x₂, y₂) = (-1,5)
simply substitute the values into the equation above:
D = √( (x₂-x₁)² + (y₂-y₁)² )
= √{ [ (-1)-(-8) ]² + (5-5)² }
= √{ [ (-1 + 8) ]² + (0)² }
= √[ (7) ² ]
= 7 units (answer)
please help i will make brainlest if you have correct answers please put your answers in order like the pictures like 1 2 3 4 5
1. 22/25
2. -1 1/4
3. -1 7/10
4. 1 5/6
5. 1 2/3
Answer:
Step-by-step explanation:
1= 22/25
2= -1 1/4
3= - 1 7/10
4= 1 5/6
5= 1 2/3
Multi-step equations
20) -5(1 - 5x) + 5(-8x - 2) = -4x - 8x
Help!!!!!!!!!!!!!!!!
Find the values of the letters
Answer:
A = -3
B = 5
Proof:
A ⇒ -3+5 = 2
B ⇒ 3+2 = 5
Answer:
7=A 6=B
Step-by-step explanation: 37+25=62
One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $5, compute the player's expectation. (Round your answer to two decimal places.)
Answer:
The player's expectation is a loss of 20 cents.
Step-by-step explanation:
In a game of roulette, there are 38 slots where the ball can stop.
The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.
So, N = 38.
The slots which are multiples of 3 are:
S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}
So, n (S) = 12.
Let X = the ball stops on a number that is a multiple of 3
The probability that the ball stops on a number that is a multiple of 3 is:
[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]
It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.
Compute the player's expectation as follows:
[tex]E(X)=\sum X\cdot P(X)[/tex]
[tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]
Thus, the player's expectation is a loss of 20 cents.
Can someone explain this? Are my answers for 2 and 4 good?
Answer:
I can't see that good enough
Consider the equation −3+(−9.25)+m=0 .
Let's solve your equation step-by-step.
−3−9.25+m=0
Step 1: Simplify both sides of the equation.
−3−9.25+m=0
−3+−9.25+m=0
(m)+(−3+−9.25)=0(Combine Like Terms)
m+−12.25=0
m−12.25=0
Step 2: Add 12.25 to both sides.
m−12.25+12.25=0+12.25
m=12.25
Answer:
m=12.25
An ant has a mass of 0.005 gram. A small be has a mass of 0.05 gram. A grasshopper has a mass of 0.5 gram. How many ants would it take to equal the mass of 1 grasshopper.
Answer:
200 ants
Step-by-step explanation:
Im not really sure on this but i tried lbao
1. Yearly membership with the online music club costs $48. Members pay $0.99 per song to download music. Nonmembers may download songs for $1.29 each.
Answer:
160 musics
Step-by-step explanation:
let the total amount/charges be y
let the number of musics be x
For members total
y=48+0.99x-------1
For non-members total
y=1.29x-------------2
we are expected to solve for the number of music where members and non members get to pay the same amount
equating 1 and 2 we have
48+0.99x=1.29x
48=1.29x-0.99x
48= 0.3x
x=48/0.3
x=160 musics
what does x equal to
Answer:
x= 15
Step-by-step explanation:
first you subtract 1 then you multiply everything by 5 then you divide by 2
hope this helps
Solve the system of equations.
y = 7x + 43
y = 2x + 13
a. (-6, 1)
b. (6, -1)
C. (6, 1)
d No solution
Please select the best answer from the choices provided
A
B
Ο Ο Ο Ο
С
Answer:
A,(‒6,1)
Step-by-step explanation:
y=7x+43
y=2x+13
(choose one equation &multiply by ‒1 to be y=0)
‒y=‒7x‒43
y=2x+13
0=‒5x‒30
we got the equation this (‒5x‒30=0) now we can solve x
‒5x‒30=0
‒5x=30
‒5x/‒5=30/‒5
x=‒6 (now we got the value of x, then we will find tge value of y by substitute )
y=2x+13
y=2(‒6)+13
y=‒12+13
y=1
therefore the pairs will be (‒6,1)
i hope my answer is clear
The probability of a randomly selected adult in one country being infected with a certain virus is 0.004. In tests for the virus, blood samples from 15 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus.
Answer:
The probability is [tex]P(R) = 0.0583 [/tex]
Step-by-step explanation:
From the question we are told that
The probability that selected adults are affected by virus is p = 0.004
The probability that adults are not affected by virus is [tex]q= 1- p = 1-0.004 = 0.996[/tex]
The sample size is n = 15
Generally from the question we are told that
The probability that the combined sample tests positive is equal to the probability that at least one person test positive for the virus
So
The probability that the combined sample tests positive for the virus is equal to
1- the probability that non of the adults selected tested positive for the virus
Generally the probability that non of the adults selected tested positive for the virus is
[tex]P(k) = q^n[/tex]
=> [tex]P(k) = q^{15}[/tex]
=> [tex]P(k) = 0.996^{15}[/tex]
=> [tex]P(k) = 0.9417 [/tex]
The probability that the combined sample tests positive for the virus is mathematically represented as
[tex]P(R) = 1 - P(k)[/tex]
=> [tex]P(R) = 1 - 0.9417 [/tex]
=> [tex]P(R) = 0.0583 [/tex]
We want to factor the following expression:
16x4 – (y - 1)
We can factor the expression as (U+V)(U - V) where U and V are either constant integers or single-variable expressions.
What are U and V?
Answer:
Answer: U = 4x^2 and V=y-1
factored : (4x^2+y-1)(4x^2-y+1
Step-by-step explanation:
The value of U and V are 4x² and (y-1) respectively and the factor of the expression is (4x² + (y-1)) and (4x² + (y+1)) option (C) is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We want to factor in the following expression:
16x⁴-(y-1)²
We can factor the expression as (U+V)(U-V) where U and V are either constant integers or single-variable expressions.
1) What are U and V?
2)Factor the expression.
We have an expression:
= 16x⁴-(y-1)²
or
= (4x²)²-(y-1)²
Using the identity:
a² - b² = (a + b)(a- b)
(4x²)²-(y-1)² = (4x² + (y-1))(4x² + (y+1))
The value of U = 4x²
V = (y-1)
The factor of the expression is:
(4x² + (y-1)) and (4x² + (y+1))
Thus, the value of U and V are 4x² and (y-1) respectively and the factor of the expression is (4x² + (y-1)) and (4x² + (y+1))
Learn more about the expression here:
brainly.com/question/14083225
#SPJ2
Emmy was at her swim meet. They were practicing their laps around the pool when one of her friends decides everyone should have a competition. There were two groups competing against each other, Emmys group and Lacey’s group. In the middle of the game they had to stop because it was time to go home. The goal was for one team to get 60 points. The total number of points that were earned from both groups was 53 points. Emmys group had 26 points. Find out what is the number of points that Lacey’s group earned.
Answer:
27
Step-by-step explanation:
27 is the answer cause 53-26=27 and 26+27=53
ASAP definition for unit rate
Answer:
the ratio of two measurements in which the second term is 1.
Step-by-step explanation:
Hope this helps! UwU
Ava earns $3,000 in 1 month at her job. How much will Ava earn in 20 months?
Use the drop-down boxes to show how to solve the problem.
Ava Finds _________. Ava will earn __________ in 20 months.
Answer:
$60,000
Step-by-step explanation:
If Ava earns at a constant rate of $3,000 for 1 month, then just multiply $3,000 by how many months she works.
3,000 x 20 = 60,000
If Ava earns $3,000 in one month, she will earn $60,000 in 20 months.
Based on the amount that she earns per month, we can find out that in 20 months, Ava will earn $60,000.
Ava earns $3,000 per month she works.
If she worked for 20 months, that monthly amount would be multiplied by 20 as shown below:
= Salary per month x number of months worked
Solving would give:
= 3,000 x 20
= $60,000
In conclusion, Ava would make $60,000 in 20 months.
Find out more at https://brainly.com/question/21823806.
Tanya walked for 171717 minutes from her home to a friend that lives 1.51.51, point, 5 kilometers away. d(t)d(t)d, left parenthesis, t, right parenthesis models Tanya's remaining distance to walk (in kilometers), ttt minutes since she left home. Which number type is more appropriate for the domain of ddd?
Correct question is;
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, t minutes since she left home. What number type is more appropriate for the domain of d?
Answer:
0 ≤ t ≤ 17 ; (0, 17)
Step-by-step explanation:
We are told that she has walked for 17 minutes from her home to a friend that lives 1.5 kilometers away.
Now, we want to find the domain of numbers that shows her remaining distance.
Since she spent 17 minutes, then it means in modeling remaining distance it could be from 0 to 17 minutes as the case may be. Thus, the domain can be written as;
0 ≤ t ≤ 17 ; (0, 17)
Answer:
0≤t≤17, real numbers
Step-by-step explanation:
which of the following value is larger 7 x 10^2 or 2x10^5
Answer:
2x10^5 is greater
Step-by-step explanation:
Answer:
The value of [tex]2*10^5[/tex] is larger.
Step-by-step explanation:
[tex]2*10^5=200000[/tex]
[tex]7*10^2=700[/tex]
[tex]2*10^5>7*10^2[/tex]
I hope this helps! (✿◕‿◕✿)
A rectangular rug has an area of 31.5 square feet. If the rug is 7 feet wide,
what is the length of the rug?
Area = length x width)
Answer:
the length of the rug would be 4.5 feet
Step-by-step explanation:
Which of the following pairs of triangles can be proven congruent by SAS?
A. (Image 1)
B. (Image 2)
C. (Image 3)
D. (Image 4)
Answer:
Step-by-step explanation:
image 2
The pairs of triangles that can be proven to be congruent to each other by SAS is: B. Image 2
What is the SAS Congruence Theorem?Based on the Side-Angle-Side Congruence Theorem, when two sides and an included angle of one triangle is congruent to corresponding two sides and an included angle of another triangle, bot triangles can be proven to be congruent triangles.
The second image shows that ΔABC and ΔDEF has:
two pairs of congruent sides - AC ≅ DF and BC ≅ EFone pair of congruent included angles - ∠C ≅ ∠FTherefore, the pairs of triangles that can be proven to be congruent to each other by SAS is: B. Image 2
Learn more about SAS on:
https://brainly.com/question/14252518
Tickets for a matinee at the Paramount Theater cost $2 for student tickets and $3 for adult tickets. Our class spends $72 to see the show. The equation of 2x+3y=72, models the total cost, where x is the number of $2 student tickets and y is the number $3 adult tickets.
Find and interpret (explain) both intercepts in the context of this situation.
2x + 3y = 72 is a perfect equation to solve for the number of students and the number of teachers. y= teachers x= students.
What is the greater 205/1000 or 0.205
Answer:
It is equal none of them is greater than the other
Step-by-step explanation:
Answer:
They are the same.
Step-by-step explanation:
205/1000 is .205
what is the missing factor that would create this equation?
_____?___(5x^3-3x^2)=10x^5-6x^4
Answer:
2^2
Step-by-step explanation:
10x^5/5x^3 = 2^2
-6x^4/3x^2 = 2^2
15. *Free response. GCO2. After examining the following graph, Kate claims that WXYZ is translated
according to the rule (x, y) (x + 11, y-2). Is she correct? If not, write the correct rule.