1-x/1+x=2x+1/-2x+5 find x
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
HELP QUICK PLS WILL GIVE BRAINLIEST
It takes the earth 24 h to complete a full rotation. It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show your work using the correct conversion factors.
Answer: 1407.5 hours
Step-by-step explanation:
Okay so looking at the problem, the conversion factors we are going to need are from days to hours and from minutes to hours. Let's start with the days to hours first. If there are 24 hours in a day and we have 58 days then 24x58 would get us the hours that we need. So we would get 1392 hours. Add that to the hours already present and you get 1407 hours and 30 minutes. Since 30 minutes is half of one hour you can either use a fraction or decimal to give your answer: 1407.5 hours or hours
Point Mis the midpoint of segment AC. Point M is located at (25.5, 60.1), and point Cis
located at (18.3, 72.5).
A
B
M (25.5, 60.1)
D
C (18.3, 72.5)
Find the location of point A. Round to the nearest tenth.
"write your answer as a coordinate with parenthesis and a comma separating the x and y.
value
Answer:
(21.9, 66.3)
Step-by-step explanation:
Given the coordinates A (25.5, 60.1) and C (18.3, 72.5)
The formula for calculating the midpoint is expressed as;
M = {(x1+y1)/2, (y2+y1)/2}
X = (x1+y1)/2
Y = (y2+y1)/2
From the given coordinates A (25.5, 60.1) and C (18.3, 72.5)
x1 = 25.5, y1= 60.1, x2 = 18.3 and y2 = 72.5
X = (25.5+18.3)/2
X = 43.8/2
X = 21.9
Y = (72.5+60.1)/2
Y = 132.6/2
Y = 66.3
The midpoint of the coordinates M will be M(21.9, 66.3)
pls help!!! I will give brainliest!!
2/3 - 1/5
A) 1/2
B) 13/15
C) 30/15
D) 7/15
Answer:
D: 7/15
Step-by-step explanation:
you find the common factor of the denominators so now you have 10/15 - 3/15. then you subtract the numerators to get 7/15.
hope this helps :))
Answer:
[tex]\frac{7}{15}[/tex]
Step-by-step explanation:
=> [tex]\frac{2}{3}-\frac{1}{5}[/tex]
=> [tex]\frac{2\times{5}}{3\times{5}}-\frac{1\times{3}}{5\times{3}}[/tex]
=> [tex]\frac{10}{15}-\frac{3}{15}[/tex]
=> [tex]\frac{10-3}{15}[/tex]
=> [tex]\bold{\frac{7}{15}}[/tex]
What are the two things that do NOT prove that triangles are congruent?
Answer:
If the side which lies on one ray of the angle is longer than the other side, and the other side is greater than the minimum distance needed to create a triangle, the two triangles will not necessarily be congruent. to "swing" to either side of point G, creating two non-congruent triangles using SSA.
Step-by-step explanation:
Hope this helped, Have an amazing day!!
A cake recipe for 5 people requires two eggs. How many eggs do you need for a 15 person cake
Answer:
6 eggs
Step-by-step explanation:
15=5*3
so times the eggs by 3
2*3=6
A high school track is 9.76 meters wide. It is divided into 8 lanes of equal width for
track and field events. How wide is each lane?
Answer:
1.22
Step-by-step explanation:
9.76/8
Evaluate the expression when n=8
The product of one fourth and a number increased by 3
5
1/4n + 3
plug 8 in for n so 1/4(8) + 3
1/4 × 8 = 2
2 + 3 =5
Please help or i get a detention!
Answer:
a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.
b)Angle BXC = 70⁰
Step-by-step explanation:
b) Since XB = XC, triangle BXC is therefore an isosceles triangle.
Angle XBC = Angle XCB
Sum of interior angles of a triangle = 180⁰
55⁰ + 55⁰ + Angle BXC = 180⁰
110⁰ + Angle BXC = 180⁰
Angle BXC = 180⁰- 110⁰
= 70⁰
A triangle with vertices J(3, 0), K(4, 3), and L(6, 0) is rotated clockwise 90° about the origin. What are the new coordinates for J' K' and L' ?
Answer:
The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)
Step-by-step explanation:
The given coordinates of the triangle JKL are;
J(3, 0), K(4, 3), L(6, 0)
The rotation of the point of a preimage (x, y) by 90° clockwise gives the point of the image after rotation as (y, -x)
Therefore;
The rotation of point J(3, 0) by 90° clockwise gives J'(0, -3)
The rotation of point K(4, 3) by 90° clockwise gives K'(3, -4)
The rotation of point L(6, 0) by 90° clockwise gives J'(6, 0)
The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)
Please help me out with problem 2.
Image is too blurred.
Try taking another one.
Answer:
Step-by-step explanation:
I will be using all caps for variables
Solve for L
V = LWH
/ WH /WH
V/WH = L
Solve for H
V = LWH
/LW /LW
V/LW = H
You are decorating a Rose Bowl float. There are 108 red roses, 144 white roses, 48 yellow roses, and 72 purple roses. If bunches of roses are identical and there are no leftover roses, what is the greatest number of bunches that can be made? How many roses of each color are in each bunch?
Answer:
Step-by-step explanation:
Number of red roses = 108
Number of white roses = 144
Number of yellow roses = 48
Number of purple roses = 72
If the number of roses in each bunch are identical,
Number of bunches of roses = HCF of number of roses
Factors of 144 = 3×3×2×2×2×2×1
Factors of 108 = 3×3×3×2×2×1
Factors of 72 = 3×3×2×2×2×1
Factors of 48 = 3×2×2×2×2×1
Common factors of 144, 108, 72, 48 = 3 × 2 × 2 × 1 = 12
Therefore, number of bunches of roses with equal number of roses = 12
Number of red roses in each bunch = [tex]\frac{108}{12}=9[/tex]
Number of white roses in each bunch = [tex]\frac{144}{12}=16[/tex]
Number of yellow roses in each bunch = [tex]\frac{48}{12}=4[/tex]
Number of purple roses in each bunch = [tex]\frac{72}{12}=6[/tex]
Johnny scored a 75% on his math test. He got 18 questions
correct. How many questions were on the test? *
Answer:
24
Step-by-step explanation:
18/24=0.75
Hope this helps!
please help me and don't just write a random answer for the points. thank you
Answer:
If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck
Step-by-step explanation:
I need help fast plz
Answer:
1. m = -3, b = 4
2. m = 0, b = 7
3. m = -1.5, b = -4
4. m = 3, b = 0
5. m = 1.5, b = -7
The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
X-
Calculate the Z-score for a tree that has a diameter of
1.83 inches. Round the Z-score to the nearest
hundredth, if necessary.
The Z-score for a tree that has a diameter of 1.83 inches
is about...?
Answer:
-1.34
Step-by-step explanation:
What would the equation be? I give brainliest if correct
Answer:
I am pretty sure it's a
I hope this helps
The total cost, C, to attend a swim meet for a swimmer competing in x events can be modeled using a linear function. Each swimmer will pay a $3.00 entry fee for each event and $8.00 for lunch. Each swimmer may sign up for a maximum of 5 events. What is the range of the function for this situation?
Answer:
The range is between $11 to $23Step-by-step explanation:
let the total cost be c
let the number of events be x
the linear model is
c=3x+8
therefore for 1 event
c=3(1)+8
c=3+8
c=11
=$11
therefore for 5 events
c=3(5)+8
c=15+8
c=23
=$23
The range is between $11 to $23
HELP!!!!!!!!!!!!!!!!!!!!! I WILL LOVE YOU FOREVER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I am not 100% sure but I think it is
Question 9:
A. (-2, -2)
B. (1, 0)
C. (3, -7)
Question 10:
A. (-1, -3)
B. (-4, -5)
C. (-6, 2)
Solve the inequality 5:0 -6 < 2 + (30 — 4).
Pls help
Answer:
x≤2
Step-by-step explanation:
The answer to 5x-6≤2+(3x-4)
Happy Halloween!
Which of the following is an arithmetic sequence?
-2, 4, -6, 8, ...
2, 4, 8, 16, ...
-8, -6, -4, -2, ...
Answer:
-8, -6, -4, -2
Step-by-step explanation:
This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.
The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.
The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.
Answer:-8,-6,-4,-2
Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on
HELP PLEASE
I DONT UNDERSTAND
Answer:
v1 positive v2 negative
Step-by-step explanation:
what is y if x is 12 for this slope intercept form equation y=-1/3x-2
Answer:
-6
Step-by-step explanation:
y=-1/3(12)-2
=(-1/3x12/1)-2
=-4-2
y=-6
Given the diagram and information below, find m∠TUV.
Answer:
halabyouuuuuu
yiieeeeeee
Help me pleaaaaaaassssssssseeeeeeee
Answer:
+29
Step-by-step explanation:
(-)(-)=+
Factor completely 4x^2-81
Answer:
(2x - 9)(2x + 9)
Step-by-step explanation:
4x^2 - 81 = (2x - 9)(2x + 9)
Answer:
(2x+9)(2x-9)
Step-by-step explanation:
kind of simple actually
4x^2-81=(2x+9)(2x-9)
Mr. Webb had 90.66 feet of wood. If he gave Jim 15.4 feet, Allison 20.69 feet and Cory
32.02 feet, how much does he have left?
Answer:
22.55 ft of wood is what mr. webb will have left
I don’t know the answer to this
Find the measure of ∠7.
Given:
∠1 is a right angle
∠3 = 37°
∠8 =62°
A. 53°
B. 65°
C. 105°
D. 127°
E. 245°
Answer:
The answer is B: 65.
Angle 8 + angle 7 = right angle + 37 degree
, 62 degree + angle 7 = 127 degree
, angle 7 = 127 degree - 62 degree
, = 65 degree
A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation.
The answeris : y=35x+75