Answer:
12 hours
Step-by-step explanation:
Time taken by pipe A = 24 hours
Time taken by pipe B = 36 hours
Time taken by pipe C = 32 hours
To find:
How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?
Solution:
First of all, let us assume the total capacity of the pool.
Let us take LCM of 24, 36 and 32.
LCM of 24, 36 and 32 = 288
Let the total capacity of the pool = 288 units
Total units filled by pipe A in one hour = [tex]\frac{288}{24} = 12\ units[/tex]
Total units filled by pipe B in one hour = [tex]\frac{288}{36} = 8\ units[/tex]
Total units filled by pipe C in one hour = [tex]\frac{288}{32} = 9\ units[/tex]
Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = [tex]12\times 3 =36\ units[/tex]
For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units
Total number of units filled in 4 hours = 36 + 20 = 56 units
Units to be filled to completely fill the pool = 288 - 56 = 232 units
Now, after the 4th hours, all the pipes operate together.
So, number of units filled in each hour = 12 + 8 + 9 = 29 units
Time taken to fill 232 units = [tex]\frac{232}{29} = 8\ hours[/tex]
Total time taken = 4 + 8 = 12 hours
Determine the type of triangle that is drawn below. ASAP PLZZ!!!!!
Answer:
Isosceles right
Step-by-step explanation:
two same side and there's a right angle
A sketch artist sells on demand portraits and name doodles at the state fair. The artist has a personal maximum of 40 creations per day. With his current paper supply the artist is equipped to create up to 30 portraits and up to 20 name doodles. If the artists profit is $10 on each portrait and $20 on each name doodle, how many of each item should he aim to sell to maximize his profit?
Answer:
profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600
Step-by-step explanation:
we have to maximize the following equation:
$10P + $20D
where:
P = number of portraits
D = number of doodles
the constraints are:
P + D ≤ 40
P ≤ 30
D ≤ 20
we do not need to use solver or any other type of linear programming tool to solve this, since profit will be maximized by making 20 doodles and 20 paintings = ($10 x 20) + ($20 x 20) = $600
Complete the steps to solve for x.
4
1
-X = 11
07
4
II
x = 11
20
II
(11)
20
i hope it helps u:)))))actually I'm pretty sure about it because
11/20x=11
x=11×20/11
(11 gets cancelled and 20 is left)
therefore x=20
and this proves my answer
The marked price of a machine is $1200. How much will it cost if there is a discount of 20%? *
Answer:
discount amount=20%of mp
=240
now sp=mp-discount=1200-240=960
is -5.5645 repeating irrational
Answer:
This number is neither repeating or irrational.
Step-by-step explanation:
An irrational number is a number with a never-ending decimal that does NOT repeat. This number would be considered rational.
iff (x) = 4x3 + 3x2 - 5x + 20 and g(x) = 9x3 - 4x2 + 10x - 55, what is (g- f)(x)?
13x3 - x2 + 5x - 35
5x3 + x2 + 5x + 35
ОА
OB
- 5x3 + 7x2 - 15x + 75
5x3 - 7x2 + 15x - 75
Answer:
(g-f)(x) = 9x³ - 4x² + 10x - 55 - [ 4x³ +3x² - 5x + 20]
Step-by-step explanation:
Is figure B and scale copy of figure A?
Answer:
Yes it is
Step-by-step explanation:
A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1). Write a function in standard form that can represent this function.
Answer:
(x^4) - 64x
Step-by-step explanation:
zeros at 4 and 0 are the roots so can be factor as x*(x-4) and the multiplicity tels to what power you have to raise those factors
[tex]x^{1} *(x-4)^{3}[/tex] becuase multiplicity of 1 for root at 0, and multiplicity of 3 at root 4
now to write this in standard form
[tex]x*(x-4)^{3} = \\x*(x-4)(x^{2} +4x+16)= \\(x^{2} -4x)(x^{2} +4x+16) = \\x^{4} +4x^{3} +16x^{2} -4x^{3} -16x^{2} -64x = \\x^{4} -64x[/tex]
what is the product of 2/3 multiplied by 3
Answer:
The answer is 2
Step-by-step explanation:
HOpe this helps
Answer:
4/3
Step-by-step explanation:
A house sold for $275,100.00. The buyer's real estate agent earned a commission of $11,004.00, and the seller's real estate agent earned a commission of $6,877.50. What was the commission rate of each agent?
Answer:
Buyer's real estate agent's commission rate = 4%
Seller's real estate agent's commission rate = 2.5%
Step-by-step explanation:
Given that:
Amount for which the house was sold = $275,100.00
Earnings by buyer's Real Estate Agent = $11004.00
Earnings by seller's Real Estate Agent = $6,877.50
To find:
The commission rate of each agent = ?
Solution:
Commission rate can be calculated by finding the percentage for both the real estate agents with the amount for which the house was sold.
i.e.
[tex]\text{Rate of Buyer's agent } = \dfrac{\text{Earnings of Buyer's agent}}{\text{Amount for which the house was sold}}[/tex]
[tex]\Rightarrow \dfrac{\$11004.00}{\$275,100.00}\times 100 = 4\%[/tex]
[tex]\text{Rate of Seller's agent } = \dfrac{\text{Earnings of Seller's agent}}{\text{Amount for which the house was sold}}[/tex]
[tex]\Rightarrow \dfrac{\$6,877.50}{\$275,100.00}\times 100 = 2.5\%[/tex]
Therefore, the answer is:
Buyer's real estate agent's commission rate = 4%
Seller's real estate agent's commission rate = 2.5%
did I get all of these right? feedback from experts please!
Answer:
ucf8riucfuvigruvufgv
Step-by-step explanation:
u7dfi8t57dch
I'm so lost in trigonometry please help
Find the slope of the line.
Help pleasee!!
Answer:
4/4
Step-by-step explanation:
y=4 x+1
4 hope that helps!!
don´t forget to thank and Brainliest.
mary amd remesh share money into the ratio 11:3 of the difference between their share money is £80 how much did they share
Answer:
Step-by-step explanation:
110 pounds and 30 pounds, add that up and you get 140
Carolina is making punch for a party. She made 6 bowls of punch. Each bowl holds 2 1/2 gallons of punch. 1 gallon is equal to 4 quarts. She thinks each person will drink about 1 quart of punch. How many people will the 6 bowls of punch serve?
Answer:
60 people
Step-by-step explanation:
Bowls of Punch = 6
Each bowl holds 2 1/2 gallons of punch
6 bowls = 2 1/2 gallons × 6
= 5/2 × 6 gallons
= 30/2
= 15 gallons
6 bowls of Punch = 15 gallons of Punch
1 gallon = 4 quarts
15 gallons = 4 × 15 quarts
= 60 quarts
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
She thinks each person will drink about 1 quart of punch.
How many people will the 6 bowls of punch serve?
6 bowls of Punch = 15 gallons of Punch = 60 quarts of punch
60 quarts of punch / 1 person
= 60 people
The 6 bowls of punch will serve 60 people
What method can be used to write the equation of a line in slope-intercept form given two points?
A: Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
B: Find the slope using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
C: Find the y-intercept using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
D: Find the y-intercept using the formula m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction, and then substitute one point and the y-intercept into the equation y = m x + b to find the slope.
Answer: A: Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
Answer:
Answer: A: Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.
Step-by-step explanation:
Hope i could help
A 12-foot ladder leans against the wall makes an angle of 62.87 degrees with the ground. How high up the wall does the ladder reach?
Answer:
10.68 ft
Step-by-step explanation:
sin(62.87)=x/12
12sin(62.87)
=10.68 ft
Lowest common denominator in 2/3 and 1/2
LCD = 6
Equivalent Fractions with the LCD
2/3 = 4/6
1/2 = 3/6
hello i need help.....
Simplifying 84 - (16 - 8) + 5
Answer:
81
Step-by-step explanation:
use pemdas
Answer:
84-(16-8)+5
= 81
Step-by-step explanation:
-3mn+4m-3 when m=2 and n=-4
Answer:
29
Step-by-step explanation:
m = 2 and n = -4
-3mn + 4m - 3
-3(2)(-4) + 4(2) - 3
-6(-4) + 8 - 3
24 + 8 - 3
32 - 3 = 29
[tex]\huge\boxed{29}[/tex]
Solution Steps:______________________________
1.) Fill in the variables with the information given:[tex]-3(2)(-4)+4(2)-3[/tex]
- M = 2
- N = -4
2.) Multiply:[tex]-3[/tex] × [tex]2=-6[/tex][tex]4[/tex] × [tex]2=8[/tex]- The reason we multiply first is due to Order of Operations or PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
- When we see y(x) this just means whatever number or variable is before the parenthesis, you multiply it by that.
Equation at the end of Step 2:
[tex]-6(-4)+8-3[/tex]3.) Multiply again:[tex]-6[/tex] × [tex]-4=-24[/tex]- We do this once more because we had one last parenthesis.
Equation at the end of step 3:
[tex]24+8-3[/tex]4.) Add:[tex]24+8=32[/tex]Equation at the end of Step 4:
[tex]32-3[/tex]5.) Subtract: [tex]32-3=29[/tex]______________________________
Keith rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 97 cents for each mile driven. Keith had to pay $137.30 when he returned the truck. For how many miles did he drive the truck? miles
Answer:
216 miles
Step-by-step
ex15.95+.73x=173.63
.73x=173.63-15.95
.73x=157.68
x=157.68/.73
x=216 miles driven.
PROOF;
15.95+.73*216=173.63
15.95+157.68=173.63
173.63=173.63
Answer: Keith drove the truck for 123 miles
Step-by-step explanation:
17.99+0.97m=137.30
Subtract 17.99 on both sides:
17.99-17.99+0.97m=137.30-17.99
0.97m=119.31
Divide 0.97 on both sides:
0.97m/0.97=119.31/0.97
m=123 miles
4x3 what is 4x3 I really want to know
Answer:
The answer to 4x3 is 12
same as adding 4 thee times!
4 plus 4 plus 4 equals 12
Answer:
4X3=12
Step-by-step explanation:
It's like adding 4 3 times
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. Write a function to model the cost, c, to rent a wetsuit and surfboard for h hours. Enter the correct function in the box.
C = 6 + [tex]12^{x}[/tex]
The required function to model the cost is given as c = 6h + 12h.
Given that,
A surf shop charges $6 to rent a wetsuit and $12 per hour to rent a surfboard. To write a function to model the cost, c, to rent a wetsuit and surfboard for h hours.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
According to the question,
Rent on a wetsuit for h hours = 6h
Rent on a surfboard for h hours = 12h
Total rent, c = 6h + 12h
Thus, the required function to model the cost is given as c = 6h + 12h.
Learn more about function here:
brainly.com/question/21145944
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Which expression is equivalent to 75 + 24?
3 (25+8)
25 (3 + 24)
5 (70 + 24)
3(75 +8)
Answer:
The expression that is equivalent to 75 + 24 is 3(25+8)
Step-by-step explanation:
When you add 75 and 24
you get 99.
The equivalent expression:
First you do what's in the paranthese. Add 25 and 8 is get 33. After you get that simply multiple 33 and 3 to get 99.
What is the expression for "the sum of 8 times a number and two"?
Section 1 - Question 9
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational
Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Which statement BEST describes who is correct?
А
Frankie is correct because the 20 is 10 which is a rational number.
B
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates
С
Both students are correct because 20 is a rational number.
D
Neither student is correct because 20 is an irrational number
©2020 Illuminate Education,
Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
Given that,
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational. Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.
Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.
Here,
20 is a rational number but its square root is not 10 so, Frankie is not correct.
The square root of 20 falls between 4 and 5 the decimal terminates. its true and Alejandro is correct.
Thus, Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.
Learn more about Rational numbers here: https://brainly.com/question/17450097
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How many values of x solve the equation g(x)=2? How can you illustrate your answer on the graph? Remember, we are not looking for the exact x-values, only how many solutions
Answer:
3 solutions
Step-by-step explanation:
To solve g(x) = 2
The solutions are at the points of intersection of g(x) and y = 2
y = 2 is the equation of a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of 2
If you draw the horizontal line using say (0, 2) and (2, 2)
Then g(x) intersects y = 2 at 3 places
Thus there are 3 solutions to g(x) = 2
Plz help me!!!!!!!!!
Answer:
Perimeter is sum of all side,
Step-by-step explanation:
=2X+7 + 6X-5 + 4X+1
=12X+3
BUT VALUE OF X IS NOT GIVEN IN QUESTION
Answer:
9
Step-by-step explanation:
since all the sides are equal, set two of the sides equal to each other. I did 2x+7 = 6x-5
6x-2x = 7+5
4x = 12
x = 3
Then you multiply 3 by 3 because it is an equilateral. And you get 9.
I not a 100 percent sure. Hope this helped.
The table below shows the total number of hours, Jessica, Emily, and Trina, each studied after given number of weeks. Part A one of the relationships between weeks and total hours studied is proportional. Whose number of total hours studied is proportional to the number of weeks studied ? For the proportional relationship, write an equation to represent y, the total number of hours studied, in terms of x, the number of weeks. Explain how u determined your equation. Pls help
Answer:Y times X = 5
Step-by-step explanation:
Answer:
See attached
Step-by-step explanation:
Refer to attached
Only column 3 - Trina's numbers represent proportional relationship
Equation for it is: y = 2.5x
Calculation is provided on the table