Answer: Time taken by pipe C to empty the tank = 5 hours.
Step-by-step explanation:
Pipe A can fill a tank in 5 hours.
Let time taken by Pipe C = x ( hours)
Time taken by Pipe B = x-2 ( hours)
Now, with all 3 pipes open, it takes 3 hours to fill the tank, it can be represented as
[tex]\dfrac15+\dfrac1{x-2}-\dfrac1x=\dfrac 13\\\\\Rightarrow\ \dfrac{x-(x-2)}{x(x-2)}=\dfrac13-\dfrac15\\\\\Rightarrow\ \dfrac{x-x+2}{x^2-2x}=\dfrac{5-3}{15}\\\\\Rightarrow \dfrac{2}{x^2-2x}=\dfrac2{15}\\\\\Rightarrow\ x^2-2x=15\\\\\Rightarrow\ x^2-2x-15=0\\\\\Rightarrrow\ x^2-5x+3x-15=0\\\\\Rightarrow\ x(x-5)+3(x-5)=0\\\\\Rightarrow\ (x-5)(x+3)=0\\\\\Rightarrow\ x=5, -3[/tex]
Time cannot be negative,
So, x=5
Thus, Time taken by pipe C to empty the tank = 5 hours.
Can solve this problem please
Answer:
It is C
Step-by-step explanation:
C is true because you can make 12 per hour in the table shown
List down all the even numbers between 50-80
52,54,56,58,60,62,64,66,68,70,72,74,76,78
The sum of a number and 8 equal to 15
y - 8 = 15
5 + 7 = 8
x + 8 = 15
Step-by-step explanation:
Twice the sum of a number and seven
a) 2(x+7)
Is 1+4(3x-10)-12x equal to -9?
And how do you get the answer?
Answer:
NO, It's -39
Step-by-step explanation:
1+4(3x-10)-12x
1+12x-40-12x= -39
Hector bought 6 bottles of juice for $2.40. At that rate, what is the cost of: 1 bottle, 3 bottles, 5 bottles?
Answer:
1 bottle: $0.40
2 bottle: $1.20
5 bottle: $2.00
Step-by-step explanation:
Answer:
Cost of one is 40 cents. Cost of three $1.20. Cost of five $2.00.
Step-by-step explanation:
Divide: 2.40 divided by 6= .4
.4 times 1=.4=.40= 40 cents
.4 times 3=1.2=1.20= $1.20
.4 times 5=2=2.00= $2.00
Hope I helped!! :)
Brainliest?!?!
Stay safe and have a good day/night/afternoon!!!
Please answer fast, it's important... Q) find the volume of cube whose dimensions are (x+7y), (7x-y) and (xy-5).
Answer:
[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]
Step-by-step explanation:
Given
Shape: Cube
Dimension: (x+7y), (7x-y) and (xy-5).
Required
Determine the volume
The volume is calculated by multiplying the dimensions:
[tex]Volume = (x+7y) * (7x-y) * (xy-5)[/tex]
Evaluate the first 2 brackets
[tex]Volume = [x(7x-y)+7y(7x-y)] * (xy-5)[/tex]
[tex]Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)[/tex]
[tex]Volume = [7x^2-xy+49xy-7y^2] * (xy-5)[/tex]
[tex]Volume = [7x^2+48xy-7y^2] * (xy-5)[/tex]
Open brackets
[tex]Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2][/tex]
[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]
Jan 10, 7:28:48 PM What is the slope of a line parallel to the line whose equation is 3x - 6y = 18. Fully reduce your answer.
Answer:
[tex]1/2[/tex]
Step-by-step explanation:
We are given the line:
[tex]3x-6y=18[/tex]
And we want to find the slope of the line parallel to this given line.
Remember that parallel lines have the same slope. So, if we can determine the slope of the given line, we have the slope of its parallel line.
To determine the slope of the given line, we simply have to isolate the y. So, we can first divide everything by 3. This yields:
[tex]x-2y=6[/tex]
Adding 2y to both sides yields:
[tex]x=6+2y[/tex]
And subtracting 6 from both sides yields:
[tex]x-6=2y[/tex]
Finally, dividing everything by 2 gives us:
[tex]\displaystyle y=\frac{1}{2}x-3[/tex]
Hence, the slope of our line is 1/2.
So, the slope of the line parallel to this line must also be 1/2.
answer this math question
Answer:
B) Vertically stretched by a factor of 3, shifted to the right by 1 unit, and shifted up 2 units.
Step-by-step explanation:
The basic transformations of a rational function as shown here can be modeled by:
[tex]f(x) = \frac{a}{b(x - h)} + k[/tex]
a = vertical stretch / compression.
b = horizontal stretch / compression.
h = horizontal shift.
k = vertical shift.
If there is a negative sign by a, then it is a vertical reflection.
If there is a negative sign by b, then it is a horizontal reflection.
_____________
As seen here, the transformations of
[tex]f(x) = 2 + \frac{3}{x–1} [/tex]
There is no b value because x - 1 is completely factored or it can just be thought of as 1. a or the vertical stretch is a factor of 3 because that is the numerator of the rational expression. There is a horizontal shift of 1 unit to the right because when x is subtracted by 1 in the rational expression, the root of x - 1 by itself is 1 greater than x. Lastly, there is a vertical shift up 2 units because that means all the values of the function will increase by 2 units which moves the whole function up 2.
Make g the subject of the formula w= 7 - Vg
Answer:
w=7-vg
Vg=7-w
Vg/v=7-w/v
G=7-w/v
Solve & Discuss It!
>) Jamal can run 1 mile in 5.05 minutes.
If Jamal maintains this pace during
a 5-kilometer (5K) race, he expects
to break the course record of
15.25 minutes. Is Jamal's expectation
reasonable? Explain.
Answer:
Yes, his expectation is reasonable
Step-by-step explanation:
Mathematically;
1 mile = 1.609344 km
If he runs this in 5 minutes;
his speed will be 1.609344/5 = 0.3219 km/m
Now he intends breaking the record of 5 kilometers in 15.25 minutes
Distance = speed * time
What we shall have in this case will be;
15.25 * 0.3219 = 4.908
Approximately this is 5 km
So we can conclude that he will break the record if he runs at this speed
f(x) = |x|
g(x) = |x+9| - 5
We can think of g as a translated (shifted) version of f.
Complete the description of the transformation.
Use nonnegative numbers.
The transformed function g(x) = |x + 9| - 5 has a vertex at (- 9, - 5).
What is an absolute value function?We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.
In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.
Given, The parent function is f(x) = |x|.
Now, The transformed function g(x) = |x + 9| - 5 is shifted x + 9 = 0 ⇒ x = - 9 units along the x-axis and - 5 units along the y-axis.
The vertex of the modulus function is at (- 9, - 5).
learn more about modulus functions here :
https://brainly.com/question/29142324
#SPJ7
Could someone help me it’s confusing me
Answer:
x = 15
Step-by-step explanation:
If triangles are similar then they have a scale factor. That is the factor that is being multiplied to each of the sides to create a new set of sides.
We need to find the scale factor between Triangle ABC and Triangle DEF.
We can use Sides AC and DF to determine the scale factor.
It would be 27/9 = 3
So all the sides in triangle DEF are 3 times the length of those in triangle ABC
this means that the side with x cm is just 3 × 5 which is 15 cm.
HOPE YOU HAVE A NICE DAY! And hope you understood!
please help me i need this ASAP
Answer:
30 because of vertical angles.
Answer:
It is 30
Step-by-step explanation:
Hope this helps have an amazing day/month/year!
Please help kind of struggling with this :P
Answer:
3
Step-by-step explanation:
(48-6^2)/4
6^2 = 36
48 - 36 = 12
12/4
3
edit: I had the wrong answer, I fixed it though
Below are two parallel lines with a third line intersecting them
X=|____|°
Answer:
x = 80°
Step-by-step explanation:
From the picture attached,
Two lines are parallel and third line (transversal) is intersecting these lines at two different points.
m(∠x) = 80° [Exterior alternate angles are equal in measure]
Therefore, x° = 80° is the answer.
Find the distance between points (5,-3) and (-7,2)
Answer: 13
Step-by-step explanation:
0.4(2-q=0.2(q+7) hurry please
Answer:
q=-1
Step-by-step explanation:
.8-.4q=.2q+1.4
-.2q -.2q
.8-.6q=1.4
-.8 -.8
-.6q= 0.6
/-.6 /-.6
q= -1
2. Lin’s family buys 2 adult tickets and 2 child tickets for $26. Mike’s family buys 2 adult tickets and 3 child tickets for $31. Which system represents the situation? PLEASE HELP , no one ever helps please if u do pls!
Answer:
the adult tickets are 8 dollars and they kid tickets are 5 dollars bc 8+8+5+5=26 and mike's family is 8+8+5+5+5=31 hopes this help so each adult ticket is 8 dollars and each kid ticket is 5 dollars
Step-by-step explanation:
hope this helps❤️
geometry (triangle basics)
Answer:
BT
angle T
AT
have a good day
solve for x and explain your answer
Step-by-step explanation:
(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem
7x + 20 = 90 Algebra
x=10 Algebra
I hope this helps!!!!
3c + 3 > 15
Solve these inequality
Answer:
c>4
Step-by-step explanation:
You start off by subtracting 3 from both sides, once you do that you would have 3c>12 then divide each side by 3 and you get 4!
I hope this helps, and have a great day! :)
8x + 12
Can someone please factorise this
Answer:
4(2x + 3)
Step-by-step explanation:
Given
8x + 12 ← factor out the common factor of 4 from both terms
= 4(2x + 3)
the volume of a tank is increased by 12% to 952L, find its original volume
Answer:
1.12x=952
x=850L
Step-by-step explanation:
Answer:
850 L
Step-by-step explanation:
Make an equation:
1.12x = 952
Solve for x:
x = 850
The number of movies watched by several students in the last month is shown in the list.
3,5, 3, 1,4,2,1,3,5,5, 2, 1,4,5,1,3,1, 2, 1,5
Which dot plot represents this data?
:
Number of Movies
Number of Movies
D
Number of Movies
Number of Movies
Answer:
Plot number 2
Step-by-step explanation:
7 out of 25 employees at Carlo's Car Repair wear contact lenses. What percent of the employees wear contact lenses?
Answer:
28%
Step-by-step explanation:
7/25 = 0.28
0.28 x 100 = 28
Answer:
28%
Step-by-step explanation:
since 25 multiplied by 4 gives exactly 100 you can multiply 7 by 4 = 28
7 out of 25 = 28%
Ace
Fill in the blank with the correct response.
In the image below, the corresponding angle to angle 1 is angle
Answer:
the aanswer would be 3
Step-by-step explanation:
Answer:
The answer is 3
Step-by-step explanation:
Please hurry Simplify. Enter the answer in the box.
[tex] \sqrt{1.21} [/tex]
Answer:
the answer is 3
15/(2+3)
=15/5
=3
Step-by-step explanation:
cousin needs help and im not allowed to help lol dp it for me thx
Answer:
s
Step-by-step explanation:
Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.
Answer:
We can apply the straight-line method to solve for the value of the computer every year.
Step-by-step explanation:
Step one:
What is depreciation?
It can be defined as the loss of value of a commodity.
In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.
We are told that the computer cost is $1000
let the number of years taken for the computer to depreciate be x
Step two:
Say we want to find the value of the computer after 1 year, the value of the computer will be
Value of computer= 1000-20/100*1000
Value of computer= 1000-0.2*1000
Value of computer= 1000-200
Value of computer= $800
Step three:
For the second year, the value will be
Value of computer= 800-20/100*800
Value of computer= 800-0.2*800
Value of computer= 800-160
Value of computer= $640
Answer:
This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.
Step-by-step explanation:
PLATOOOOOO
The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of the sphere in cubic millimeters?
Answer:
500πx³y³z³
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
Hence the volume of the sphere is 500πx³y³z³ mm³