Answers
Answer A x=5 since
x/(x+5)=(x-2)/(x+1)==>x²+x=x²-2x+6x-10==>2x=10==>x=5
Related Questions
Spaceship Earth, a major tourist attraction, is a sphere whose diameter is approximately 50 m. What is the volume of Spaceship Earth? Use 3.14 for pi. Enter your answer, as a decimal, in the box. Round only your final answer to the nearest hundredth.
Answers
volume of a sphere=(4/3)*pi*r³
diameter= 50 m--------------> r=D/2--------> r=25 m
Volume=(4/3)*pi*25³------------> volume=65416.666 m³
the answer is 65416.67 m³
Someone help me ASAP!!!!!!
Answers
The points are (7.5, 0) and (0, -5)
The second step in the process for factoring the trinomial x2-5x-36 is to
Answers
Write -5x as a sum or difference.
x²+4x-9x-36
Factor out x from the expression.
x(x+4)-9(x+4)
Factor out x+4 from the expression.
(x+4)(x-9)
Answer: The second step is to factor out x.
Answer:
Find the sum of the factors of 36
Step-by-step explanation:
PLEASE GET THIS RIGHT!!!!!!!! The difference between 3.6 and a number is 2.95, as shown below. What number should go in the box to complete the subtraction problem?
Answers
3.60
- 0.65
---------------
2. 9 5
state if the polygons are similar
Answers
Since you didn't provide a picture of the exact thing you're working on I'm not sure if this will help you but it will help anyone who has the same project as me
what are the four main ideas of physical science,
Answers
The time it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviation of 1.1 hours what is the time for a runner with a score of -1.2? Round to the nearest hundredth
Answers
The equation for the z-score is
z-Score = (Time - Mean) / Standard Deviation
Given:
mean = 4.6 hours
standard deviation = 1.1 hours
z-Score = -1.2
∴ -1.2 = (x - 4.6) / 1.1
x - 4.6 = -1.32
x = 3.28 hours
The time would be 3.28 hours for a z-score of -1.2.
Explanation:
The formula for a z-score is
z = (X-μ)/σ,
where μ is the mean and σ is the standard deviation.
For our problem, we know that z = -1.2, μ = 4.6 and σ = 1.1:
-1.2 = (X-4.6)/1.1
Multiply both sides by 1.1:
-1.2(1.1) = ((X-4.6)/1.1)*1.1
-1.32 = X-4.6
Add 4.6 to both sides:
-1.32+4.6 = X-4.6+4.6
3.28 = X
what is the solution of this equation x + 6 =24
Answers
x=18
Dimension of triangle A are three times the dimensions of triangle
b. The area of triangle A is 252 cm squared. What is the area of triangle B?
Answers
Answer:
28 cm2
Step-by-step explanation:
I did this question
1/3 math questions. pls help! 20 pts!
Answers
8 × 1 = 8
8 × 2 = 16
The actual length of the trail is 16km.
Hope this helps!
Using complete sentences, explain the key features of the graph of the sine function.
Answers
The following expression models the total money earned by setting up a food stall at a funfair, where x represents the number of cheeseburgers sold.
Answers
Answer:
C is correct option.
The constant 10 represents the cost of setting up the food stall even if no cheeseburger were sold.
Step-by-step explanation:
We are given expression [tex]\dfrac{6x}{x+3}+10[/tex]
Let us suppose f(x) is total money earned by setting up a food stall at a funfair.
where, x represents the total number of cheeseburger were sold.
Therefore, [tex]f(x)=\dfrac{6x}{x+3}+10[/tex]
We need to collect the information about constant 10.
If we put x=0 into f(x)
f(0)=10
10 is a money earn when no cheeseburger sold.
It means 10 would be initial cost of setting up of Food stall.
Thus, The constant 10 represents the cost of setting up the food stall even if no cheeseburger were sold.
Two competing cable companies have recently restructured their payment plans. Clear TV requires a $30 activation fee and charges $75 per month for their basic plan. Link TV requires no activation fee and charges $82.50 per month for their basic plan. When will the two plans be equal in cost?
Answers
Activation fee = $30
Monthly charge = $7
Link TV:
Activation fee = $0
Monthly Charge = $82.50
Let x be the number of month that the two cost will be equal
30 + 75x = 82.5x
82.5x - 75x = 30
7.5x = 30
x = 30 ÷ 7.5 = 4 months
The two plans will be of equal cost after 4 months.
Which trigonometric function is equivalent to sec(-270) ? a. sec(-120) c. sec(-30) b. sec(60) d. sec(90)
Answers
we add our angle to 360°
-270+360
=90
But sec(-270) is a positive value, this implies that the angle that will give us the same answer as sec (-270) should also give us the positive value. This means that 90 is our answer since it will give us the positive sec value.
The answer is d. sec(90)
Answer: d
Step-by-step explanation: edge 2021
Deeside weather the given number is a solution of the given equation. Is 8 a solution of y + 9 = 17? Yes or no.
Simplify the expression by combining like terms. 10x - x - 2x - x
8x
x² + 8x
6x
-x² + 8x
Answers
Find the second of 3 consecutive integers if the sum of the first and the third is 26
Answers
x+1= 2nd integer
x+2= 3rd integer
Add the 1st and 3rd set equal to 26.
x + (x+2)= 26
combine like terms
2x + 2= 26
subtract 2 from both sides
2x= 26
divide both sides by 2
x= 13
Substitute x=13 to find 2nd integer.
= x+1
= 13 + 1
= 14 second integer
ANSWER: The second integer is 14.
Hope this helps! :)
write the equation of the line that passes throughout (-1,5) and has a slope of 3 in point-slope form
Answers
[tex]y - k = m(x-h)[/tex]
So, here, you just plug in values:
[tex]y - 5 = 3(x+1)[/tex]
It would be + 1 because remember, the '-' sign just means the opposite of, not subtraction in this case. Also, m = slope.
What is the solution of the equation x2 + 10x + 75 = 0?
Answers
[tex]x = - \frac{77}{10} [/tex]
alternative form
[tex]x = - 7 \frac{7}{10} \: \: x = - 7.7[/tex]
x = [- b +/- sqrt( b^2 - 4ac ) ] / 2a
a = 1
b = 10
c = 75
x = [ -10 +/- sqrt(-200)]/2
x = [ -10 +/- 10 sqrt(2) / 2
x = - 5 + / - 5 sqrt(2) and that's your answer.
The Jensen family took a road trip in September.the dad fills up the tank,he records the miles on the SUV as 24,033.he pays $83.58 to fill up the tank. what is the size of the SUV's tank in gallons, rounded to the nearest whole number. One gallon of gas cost $3.79,
Answers
the square root of 2.25 is _____. 15 1.5 0.15 irrational
Answers
Answer:
The square root of 2.25 is 1.5.
Step-by-step explanation:
We have been given an incomplete sentence. We are asked to bill in the given for our given sentence and complete it.
The square root of 2.25 is _____.
Let us find [tex]\sqrt{2.25}[/tex].
[tex]\sqrt{2.25}=1.5[/tex]
Therefore, the square root of 2.25 is 1.5 and option B is the correct choice.
How use zero product property to solve equations
Answers
In words: if two numbers multiply to 0, then one (or both) of the values must be zero.
So in terms of algebra, if we had
-0.2*(x-1.9)*(x-3.5) = 0
then
x-1.9 = 0 or x-3.5 = 0
Now solve each individual equation for x
x-1.9 = 0
x-1.9+1.9 = 0+1.9 ... adding 1.9 to both sides
x = 1.9
x-3.5 = 0
x-3.5+3.5 = 0+3.5 .... adding 3.5 to both sides
x = 3.5
The two solutions are x = 1.9 or x = 3.5
These two x values, when plugged into f(x), will make f(x) = 0
These are the x intercepts because this is where the graph crosses the x axis.
Note: "root" is another term for "x intercept"
There are three consecutive odd integers. Three times the largest is seven times the smallest. What are the integers?
Answers
This is how I would map out this problem...
First I would represent the smallest integer with the variable x. Since they are consecutive odd integers, add 2 to the middle integer and add 4 to the largest.
smallest: x
middle: x+2
largest: x+4
Now we need to find a way to solve for x. Since 3 times the largest is 7 times the smallest, we can set up an equation like this...
3(x+4)=7x
Now solve it!
3(x+4)=7x
3x+12=7x
12=4x
x=3
Now let's go back to our original data...
smallest: x
•Since the smallest is x, that means the smallest is going to be 3.
middle: x+2
•since the middle one is x+2, plug in 3 for x and we get 5.
largest: x+4
•since the largest is x+4, plug in 3 for x and we get 7.
This means the answer is...
Smallest: 3
Middle: 5
Largest: 7
I really hope this helps!
Best wishes :)
explanation and answer
Answers
h/4 = 12/h
h^2 = 48
h = 6.93
19)
x/ 12 = 3/x
x^2 = 36
x = 6
y^2 = 144 - 36
y^2 = 108
y = 10.39
List the coordinates of the image after a rotation of the figure below of 180° about the origin. 20 points
(__ , __)
(__ , __)
(__ , __)
(__ , __)
Find the measures of the segment and its image:
AD = √___, A'D' = √___
Answers
B' (-5,-4)
C' (-7,-2)
D' (-4,0)
AD = sqrt(2)
A'D' = sqrt(2)
Answer: The co-ordinates of the image quadrilateral areA'(-3, -1), B'(-5, -4), C'(-7, -2) and D'(-4, 0). The length of the segments AD and A'D' are both √2 units.
Step-by-step explanation: We are given to list the co-ordinates of the image after a rotation of the figure below of 180° about the origin.
From the figure, we note that
the co-ordinates of the vertices of quadrilateral ABCD are A(3, 1), B(5, 4), C(7, 2) and D(4, 0).
We know that
the co-ordinates of the image of a point (x, y) after rotation of 180° about the origin is given by (-x, -y).
Therefore, after rotating the quadrilateral ABCD through an angle of 180° about the origin, then the co-ordinates of the image A'B'C'D' are
A(3, 1) ⇒ A'(-3, -1),
B(5, 4) ⇒ B'(-5, -4),
C(7, 2) ⇒ C'(-7, -2)
and
D(4, 0) ⇒ D'(-4, 0).
And, the lengths of the line segments AD and A'D' can be calculated using distance formula as follows :
[tex]AD=\sqrt{(4-3)^2+(0-1)^2}=\sqrt{1+1}=\sqrt{2}~\textup{units},\\\\A'D'=\sqrt{(-4+3)^2+(0+1)^2}=\sqrt{1+1}=\sqrt 2~\textup{units}.[/tex]
Thus, the co-ordinates of the image quadrilateral are A'(-3, -1), B'(-5, -4), C'(-7, -2) and D'(-4, 0). The length of the segments AD and A'D' are both √2 units.
Find the missing lengths of the sides
Answers
Answer:
a) a = 9d, c = 18 yd
Step-by-step explanation:
The given triangle is a 30-60-90 triangle. The ratio of the sides of the triangle is 1x: 2x: √3x.
Here the hypotenuse is 2x, the shorter leg is x and the longer leg is √3x.
In given figure, we are given the longer leg.
√3x = 9√3
From this we can find the value of x, which is the shorter leg.
Dividing both sides by √3, we get
x = 9
The shorter side, a = 9 yd
Now let's find the hypotenuse.
Plug in x = 9, in 2x, we get
= 2*9
= 18 yd
The hypotenuse "c" = 18 yd.
So the answer is a) a = 9d, c = 18 yd
A ball is thrown into the air from the edge of a 48 foot cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.
For which interval is the ball’s height always decreasing?
A. 48
B.0
C.2.5
D.146
Answers
2.5 < x < 5.5 seconds is the time interval when ball's height always decreasing.
What is time interval?" Time interval is the division of time into small equal intervals to have a proper observation of any data."
According to the given graph,
x represents time in seconds along x-axis
y represents height in foot of the ball along y-axis
As per observation,
Height of the ball increasing from 48 to 146 in the time interval
0< x < 2.5.
Height of the ball decreasing from 146 to 0 in the time interval 2.5< x < 5.5.
Hence, we conclude that 2.5 < x < 5.5 seconds is the time interval when ball's height always decreasing.
Learn more about time interval here
https://brainly.com/question/14512776
#SPJ2
I need to make a matrix in reduced row echelon form
A real estate agency offers three apartments for rent in New Mexico City. The expected total revenue per month from monthly rentals for the three apartments is $1,600. The individual owners of these apartments bear the monthly maintenance costs of 20% of the rent for the first two apartments and 25% of the rent for the third apartment, which is a total amount of $345. The agency charges a monthly fee equal to 10% of the rent for apartments 1 and 3 and a fee equal to 20% of the rent for apartment 2. The monthly rent plus agency fees totals $1,820. Let x, y, and z represent the monthly rental for the first, second, and third apartments, respectively.
Answers
Let the three apartments be A, B & C
The rent of A is $x
The rent of B is $y
The rent of C is $z
So x + y + z = 1600 .......(1)
Now
Maintenance of A is 20% of x = 0.20x
Maintenance of B is 20% of y = 0.20y
Maintenance of C is 25% of z = 0.25z
0.20x + 0.20y + 0.25z = 345
Multiplying by 100 we get
20x + 20y + 25 z = 34500
Dividing by 5 we get
4x + 4y + 5z = 6900 .......(2)
Monthly fee of A is 10% of x = 0.10x
Monthly fee of B is 20% of y = 0.20 y
Monthly Fee of C is 10% of z = 0.10z
Now
0.10x + 0.20y + 0.10 z= 1820 - 1600
0.10x + 0.20y + 0.10z = 220
Multiplying by 100 we get
10x + 20y + 10z = 22000
Dividing by 10
x + 2y + z = 2200 ....(3)
Making a Matrix of equation (1), (2) & (3)
[tex] \left[\begin{array}{ccc}1&1&1\\4&4&5\\1&2&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1600\\6900\\2200\end{array}\right] [/tex]
is the required matrix
What is the ratio of pennies to dimes in a dollar
Answers
You need 10 dimes to make a dollar
ratio of pennies to dimes is 100:10, or 10:1 simplified
hope this helps
PLEASE HELP ME ON THIS QUESTION
THX~ BRANiLiEST AVAILABLE
PLZ EXPLAIN IF U COULD
Answers
D's answer shows that the graph is only increasing by 1/2, and C shows that the graph will increase at a normal rate.
The answer is C.
Porters family ordered 4 pizzas. They ate 2 3/8 of pizza how much pizza is left?