Answer:
A
Step-by-step explanation:
Got this right on edmentum
When two pipes fill a pool together, they can finish in 4 hours. If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours. How long will it take each pipe to fill the pool if it were working alone?
One pipe takes __ hours alone.
The other pipe takes __ hours alone.
One pipe takes 6 hours working alone.
The other pipe takes 12 hours working alone.
This is a rate of work problem. The formula utilized is
[tex]w=r\times t[/tex]
where
[tex]w[/tex] is the work done[tex]r[/tex] is the rate of work done[tex]t[/tex] is the time taken to do the workWe are looking for how long it will take each pipe to completely fill the pool
For pipe 1 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_1 \times t_1\\\\t_1=\frac{1}{r_1}[/tex]
For pipe 2 working alone to fill 1 pool, the work done is 1;
[tex]w=r\times t\\\\1 = r_2 \times t_2\\\\t_2=\frac{1}{r_2}[/tex]
From the question, it would take 9 hours if each pipe took turns to fill half the pool. That is;
[tex]\frac{t_1}{2}+\frac{t_2}{2}=9\\\\t_1+t_2=18[/tex]
However, if both pipes worked together, it would take 4 hours for each pipe. That is;
[tex]w_1+w_2=w\\\\r_1t_1+r_2t_2=w\\\\4r_1+4r_2=1\\\\r_1+r_2=\frac{1}{4}[/tex]
Remember that [tex]r_1=\frac{1}{t_1}[/tex] and [tex]r_2=\frac{1}{t_2}[/tex]. So,
[tex]\frac{1}{t_1}+\frac{1}{t_2}=\frac{1}{4}\\\\\frac{t_1+t_2}{t_1t_2}=\frac{1}{4}[/tex]
Also recall that [tex]t_1+t_2=18[/tex]. So,
[tex]\frac{18}{t_1t_2}=\frac{1}{4}\\\\t_1t_2=72[/tex]
The only factors of 72 that satisfy the conditions
[tex]t_1+t_2=18\\\\t_1t_2=72[/tex]
are 6 and 12.
Therefore, pipe 1 will take 6 hours, and pipe 2 will take 12 hours to fill the pool if working alone.
The link below has a similar problem on rate of work
https://brainly.com/question/21485928
arsene wenger pushes a box with a force of 60N over a distance 10m calculate the work done
Answer:
600J
Step-by-step explanation:
work done = force x distance
= 60 x 10
= 600J
The workdone by arsene wenger in joules is 600J
What is workdone?Work doneis defined as product of the force and the distance over which the force is applied. It is a scalar quantity and it is measured in Joules.(J)
Workdone is expressed as;
Workdone = f × d
where do is the force and d is the distance.
The force he uses on the box is 60N and the distance he pushes the box is 10m. All quantities in their SI unit.
Therefore, the workdone by arsene wernger is
W = 60 × 10
W = 600J
learn more about workdone from
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Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $2.12 or the 14-ounce box for $2.74?
The 14-ounce box is cheaper at a cost of $2.74 than the 10-ounce box.
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings or to determine how many people are in each category after a fair distribution.
For example 4/2 = 2
First, we have to find the price for each ounce.
So for the 10-ounce box:
⇒ 2.12 / 10
Apply the division operation,
⇒ $0.212 per ounce.
Now for the 14-ounce box:
⇒ 2.74/ 14
Apply the division operation,
⇒ $0.19 per ounce.
Here the cost of the 14-ounce box is less than the 10-ounce box as 0.19 < 0.21
Therefore, the 14-ounce box is cheaper at a cost of $2.74.
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Graph the function
g(x)=10×3/5
Answer:
It is a horizontal line through y-coordinate 6.
Step-by-step explanation:
Because 10*3/5=6.
Please help me! my teacher didn't teach me this!!
Answer:
skew
skew
parallel
parallel
Step-by-step explanation:
First see the below figure to understand parallel and skew lines
As you can see parallel lines lie on the same plane
skew lines lie on different plane and do not intersect
1)AB and GF
AB lies on ABCD plane
GF lies on EFGH plane
and they will never meet / intersect
so skew
2)DH and BF
DH lies on ADHE plane
BF lies on BCGF plane
they seem parallel but they are on different plane, so skew
3)EF and HG
EF and HG both lie on the same plane EFGH
and they both are parallel
4)for this see the second picture
both these planes are parallel
Hope this helps!
find the common denominator
7/8
3/10
7/10
2/3
Answer:
240
Step-by-step explanation:
To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.
Find the minimum and maximum possible values for area of the garden
Answer:
Smallest: 12.8 square meters
Largest: 13.5 square meters
Step-by-step explanation:
I'm not 100% sure I understand this correctly as it seems like a very strange problem, but here it goes.
The smallest number that rounds to 3.2 is 3.15, and the smallest number that rounds to 4.1 is 4.05.
[tex]3.15*4.05=12.7575[/tex]
The smallest possible area is 12.8 rounded to the nearest 10th.
The largest number that rounds to 3.2 is 3.24999... and the largest that rounds to 4.1 is 4.14999...
[tex]3.24999*4.14999=13.4875[/tex]
That rounds to 13.5.
point (3,4) what is the point after the transformations?
rotation 180° around origin
reflection over the y axis
translate 3 up and 2 left
Answer:
in the picture
hope this helps! :D
(X-2)(x+1)
Expand and siplify
[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]
[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]
[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]
[tex]\\ \sf\longmapsto x^2-x-2[/tex]
what number is 5 times greater then 6
Answer:
if you are talking about 5x6 then the answer would be 30 but if not please clarify :)
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
6x5=30 so I believe the answer to your question to be 30
The polynomial x^3 + 8 is equal to?
Answer:
The polynomial x3 + 8 is equal to (x + 2)(x2 - 2x + 4).
At the craft store, Patty bought a bag of yellow and brown marbles. The bag contained 85
marbles, and 60% of them were yellow. How many yellow marbles did Patty receive?
Answer:
51 yellow marbles
Step-by-step explanation:
60% of 85 can be found by multiplying 85 and 0.6 to get 51
Answer:
i got 51 marbles! simple.
What is an equation of the line that passes through the point (-1,-6) and is perpendicular to the line x+6y=6
Answer:
Well x + 6y = 6 can be written 6y = -1x + 6 or y = (-1/6)x + 1. Any line perpendicular to this line will have a slope that is the multiplicative inverse of -1/6 which is +6
So the line passing through( -1,-6) having slope 6 is (y - -6) / (x - -1) = 6 or…………..(y + 6) / (x + 1) = 6 and multiplying both sides by x + 1 gives y+6 = 6(x + 1) and finally subtracting 6 we have y = 6(x+1) - 6 or y = 6x + 0.
This turns out to be a line that passes through the origin having slope 6/1
Step-by-step explanation:
Which equation has no solution?
A.
B.
C.
D.
Answer:
C.
Step-by-step explanation:
The equation will have no solution if it reduces to the form ...
1 = 0
Other possible forms are ...
0 = 0 . . . . infinite solutions
y + c = 0 . . . . one solution
___
The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.
A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0 ⇒ 0 = 0 (infinite solutions)
B. 32x +25 -21x - 10x = 0 ⇒ x +25 = 0 (one solution)
C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0 ⇒ 1 = 0 (no solutions)
D. 1/3 +1/7y -3/7y = 0 ⇒ y -7/6= 0 (one solution)
Help please I really don’t understand due in 2 days
Answer:
-3 ≤ x < 2
Step-by-step explanation:
Pls hurry and no links
Answer:
-20.5
-8
4.5
17
Step-by-step explanation:
y = 2.5x - 8
x = -5
y = 2.5(-5) - 8
y = -12.5 - 8
y = -20.5
x = 0
y = 2.5(0) - 8
y = 0 - 8
y = -8
x = 5
y = 2.5(5) - 8
y = 12.5 - 8
y = 4.5
x = 10
y = 2.5(10) - 8
y = 25 - 8
y = 17
A watch company estimates that the profit (in peso)
for selling a particular model is given by
P(x)=4x^3-31x^3-10058x+158040 for 0 < x < 50
where x is the advertising expense (in tens of thousands of pesos).
What kind of polynomial is described by the equation?
A.quadratic
B.constant
C.cubic
D.quintic
I need an answer right now thank you.
The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
The standard form of a polynomial expression is written as:
[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]
A polynomial function has a leading degree that is greater than 2;
Given the polynomial function
[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]
From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
Learn more here:https://brainly.com/question/19809286
si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?
Answer:
ancho: 12 cm
Largo: 14 cm
Step-by-step explanation:
[tex]P=2a+2l[/tex]
[tex]l=a+2[/tex]
[tex]P=2a+2(a+2)=2a+2a+4[/tex]
[tex]P=4a+4[/tex]
[tex]52=4a+4[/tex]
[tex]52-4=4a[/tex]
[tex]48=4a[/tex]
[tex]48/4=a[/tex]
[tex]12=a[/tex]
largo = ancho + 2 = 12 +12 = 14 cm
Hope this helps
A recipe calls for
23
cup of sugar for every 4 teaspoons of vanilla. How much vanilla should be used for every 1 cup of sugar?
Answer:
.....
Step-by-step explanation:
if i can get 3 snapple Iced tea. and its 3 for $6 How would it be if i get 2 snapple Iced tea?
explain
Answer:
4 dollars for 2 drinks (2 dollars for 1 drink)
Step-by-step explanation:
Okay, so you can get 3 snapple drinks from 6 dollars. and you want to know the cost of 2 snapple drinks.
3 ÷ 6 = 2
So 1 drink is 2 dollars, if you wanted to buy 2 drinks the cost would be 4 dollars! Have a great day friend! :D
Answer:
$4
Step-by-step explanation:
If 3 Snapple Iced teas cost $6, we can divide 6 by 3 to find the cost for one.
6/3 is 2 and 2 * 2 is 4, so 2 Snapple Iced teas would cost $4.
y + 2x = 2 and y + 4x = 0?
Answer:
y=4
Step-by-step explanation:
y+2x=2
2(y+2x)=2(2)
2y+4x=4
(2y+4x)-(y+4x)=4-0
y=4
A right rectangular prism whose surface area and volume are numerically equal has edge lengths $\log_2 x$, $\log_3 x$, and $\log_4 x$. What is $x
The value of [tex]x[/tex] is 29.
The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:
[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)
[tex]V = w\cdot h \cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width.[tex]h[/tex] - Height.[tex]l[/tex] - Length.According to the statement, we must equalize (1) and (2) and substitute the remaining variables:
[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]
[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]
[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]
By applying logarithm properties, we simplify the expression:
[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]
[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]
[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]
[tex]x = 9 + 16 + 4[/tex]
[tex]x = 29[/tex]
The value of [tex]x[/tex] is 29.
We kindly invite to check this question on logarithms: https://brainly.com/question/20838017
Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:
A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?
Evaluate -24=(-6)-(-18).
Answer:
−24= 12
Step-by-step explanation:
Answer:
-2=1
Step-by-step explanation:
-24=(-6)-(-18)
-24=(-6)+18
-24=12
-24/12 = 12/12
-2=1
(2 negatives make a positive)
Hello, ive been having issues with a quite easy topic. Slopes of lines? I dont really know how to solve this.
Find the perimeter. Simplify your answer.
Answer:
2p -2
Step-by-step explanation:
To find the perimeter, add up all the lengths of each side of the rectangle.
Perimeter
= 2 +2 +p -3 +p -3
= 2 +2 -3 -3 +p +p
= -2 +2p
= 2p -2
Explaining it thoroughly and you will be mark as Brainiest…
Answer: It says it right there
Step-by-step explanation:
create a video explaning
What is the length of the major axis of 7(x+2)^2+2(y-2)^2=49?
Answer:
2a=7[tex]\sqrt{2}[/tex] or 7/2
Step-by-step explanation:
hope thats right
rewrite 4x+2y=20 so that y is a function of x
Answer:
y=-2x+10
Step-by-step explanation:
100 points plus brainiest to right answer.
Answer:e d
Step-by-step explanation:
Name the congruent triangles.
Answer:
ΔFOX ≅ΔBXO
Step-by-step explanation: