Answer:
The least amount of time (in hours) both pumps need to be open is 3 hours.
Step-by-step explanation:
According to the Question,
Given That, A pool has two inlet pumps A and B. If pump A alone is open, it takes 12 hours to fill the pool with water. If pump B alone is open, it takes 18 hours to fill the pool with water.Let the Capacity of the Pool is 36Litre.
Thus, If pump A alone is open, it takes 12 hours to fill the pool with water. thus the Efficiency of Pipe A is 3 ltr/hour.And, If pump B alone is open, it takes 18 hours to fill the pool with water. thus the Efficiency of Pipe B is 2 ltr/hour.If the pool needs to be filled in 10 hours the least amount of time (in hours) both pumps need to be open is 3 hours.
Note:- if 3 hour both pipe open so 3 x (5) = 15 ltr Pool is Filled.
Now For Remaining 7 hour Pipe A with Efficiency 3 ltr/hour is open alone to fill the pool Remaining 7 x 3 = 21 ltr . Total 21+15 = 36ltr .
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
The solution is:
48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
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complete question :
alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?
The area of a flower garden is 60m2. One third of it was used for growing roses and the remaining area was divided into two equal parts. Find the area of each remaining part?
Given:
The area of a flower garden is 60 m².
One third of it was used for growing roses and the remaining area was divided into two equal parts.
To find:
The area of each remaining part.
Solution:
It is given that the area of a flower garden is 60 m² and one third of it was used for growing roses. So, the remaining part is:
[tex]\text{Remaining}=60-\dfrac{1}{3}\times 60[/tex]
[tex]\text{Remaining}=60-20[/tex]
[tex]\text{Remaining}=40[/tex]
The remaining area was divided into two equal parts. So, the area of each remaining part is:
[tex]\text{Area of each remaining part}=\dfrac{40}{2}[/tex]
[tex]\text{Area of each remaining part}=20[/tex]
Therefore, the area of each remaining part is 20 m².
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35
Answer:
its 10 because chu papi munenu
4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
Which equation represents "the sum of eight times a number and seven is twice the number"?
8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
What is the solution to the system of equations graphed below
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 1 ) ← solution → A
A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?
Answer:
10 people can go to the amusement park
Step-by-step explanation:
363 - 5.50 = 357.5
357.5 / 35.75 = 10
a prop for a school musical is cut from a sheet of cardboard. the shape is shown in the picture, what is the area of the shape?
Answer:
32
Step-by-step explanation:
area of rectangle: 6*4=24
area of top triangle: 4*2=8
24+8=32 total area
Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).
Answer:
y = -2/3x - 11/3
Step-by-step explanation:
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals
Answer:
2x+6
Step-by-step explanation:
answer is in the photo above
cual es el perimetro de 12 cm de ancho y 22 de largo
es para hoy
Answer:
Perimeter of figure = 68 centimeter
Step-by-step explanation:
Given information:
Width of side = 12 centimeter
Length of side = 22 centimeter
Find:
Perimeter of figure
Computation:
Perimeter of rectangle = 2[l + b]
Perimeter of figure = 2[Width of side + Length of side ]
Perimeter of figure = 2[12 + 22]
Perimeter of figure = 2[34]
Perimeter of figure = 68 centimeter
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?
Answer:
8 Months to read 24 Books
Answer:
240
Step-by-step explanation:
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
Stephanie earns $4,000 a month, plus a 10% commission on everything she sells. If during one month, she sold $50,000 worth of product, what was her salary for that month?
$9,000
$4,000
$5,000
$6,500
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
SOMEONE PLEASE HELP MEEEE
Answer:
[tex]-180^{\circ}[/tex]
Step-by-step explanation:
Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.
Answer:
-180 because its through 0
hope this helps!
Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).
Answer:
[tex]y=-x+16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-1x+b\\y=-x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-x+b[/tex]
Plug in the given point (7,9) and solve for b
[tex]9=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]9+7=-7+b+7\\16=b[/tex]
Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:
[tex]y=-x+16[/tex]
I hope this helps!
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
How many solutions exist for the system of equations below?
Answer:
No solution or none
Step-by-step explanation:
3x+y=18 equation 1
3x+y=16 equation 2
-3x-y=-18 multiply equation 1 by -1
0=-2 add above 2 equations
no solution or none
CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?
5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?
Step-by-step explanation:
wall 25×12=300
2 walls = 600
wall2 20×12=240
2 wall2= 480
600+480= 1080 sq ft
The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon
What is area of rectangle ?"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."
Given,
A gallon of paints covers 300 square feet.
Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet
Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet
Total area of the room is = 480+600 = 1080 square feet
The paint required for 1 feet is = 1/300
So, the paint required for 1080 feet is = 1080/300 =3.6
Hence, the paint required to cover the entire room is = 3.6 gallon
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if a dice is rolled 240 times how many times do you think it will land on each number?
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
What is the product of 7x-4 and 8x+5?
Answer:
15x+1
have a nice day
Answer:
5x+1 is the answer for your question
Find the area of the shaded sector
Answer:
888
Step-by-step explanation:
Im pretty sure this is the answer, if helpful please mark me as brainiest :>
Select ALL the functions whose graphs include the point (16, 4).
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
what is the solution to x^2 + 6x + 7
Answer:
x2+6x+7
Step-by-step explanation:
there are no like terms
i think you are missing something in your question (like the equal sign?)
reply in comment so i can help:)
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
