A basin is filled by two pipes in 12 minutes and 16 minutes respectively. Due to the obstruction of water flow after the two pipes have been running together for some time, the 1st pipe carries 7/8 of the carrying capacity and the 2nd pipe carries 5/6 of the carrying capacity. After removing the water barrier, the tank is full in 3 minutes. How long after the flow of water in the two pipes became normal?
Answer:
The time duration of the two pipes restricted flow before the flow became normal is 4.5 minutes
Step-by-step explanation:
The given information are;
The time duration for the volume, V, of the basin to be filled by one of the pipe, A, = 12 minutes
The time duration for the volume, V, of the basin to be filled by the other pipe, B, = 16 minutes
Therefore, the flow rate of pipe A = V/12
The flow rate of pipe B = V/16
Due to the restriction, we have;
The proportion of its carrying capacity the first pipe, A, carries = 7/8 of the carrying capacity
The proportion of its carrying capacity the second pipe, B, carries = 5/6 of the carrying capacity
Whereby the tank is filled 3 minutes after the restriction is removed, we have;
[tex]\dfrac{7}{8} \times \dfrac{V}{12} \times t + \dfrac{5}{6} \times \dfrac{V}{16} \times t + \dfrac{V}{12} \times 3 + \dfrac{V}{16} \times 3 = V[/tex]
Simplifying gives;
[tex]\dfrac{(2\cdot t +7) \cdot V}{16} = V[/tex]
2·t + 7 = 16
t = (16 - 7)/2 = 4.5 minutes
Therefore, it took 4.5 seconds of the restricted flow before the the flow of water in the two pipes became normal
(07.05 LC)
Which statement is true for the equation 4n − 3 = 4n − 2?
It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.
Answer:
The answer is (A); there is no solution.
Step-by-step explanation:
It doesn't require any calculations, really, just logic. Look, 4n = 4n wil be equal because they are the same numbers multiplied by the same variable - no matter the variable's value. However, if you subtract both values by different numbers, you won't get the same number:
Let's say n = 5
4n = 4n
= 4(5) = 4(5)
= 20 = 20
Now,
4n - 3 = 4n - 2
= 4(5) - 3 = 4(5) - 2
= 20 - 3 = 20 -2
= 17 ≠ 18
Hope this helps! Tell me if I was wrong!
Answer:
It has no solution.
Step-by-step explanation:
If we try and solve it we end up with nonsense, so it has no solutions:
4n - 3 = 4n - 2
4n - 4n = - 2 + 3
0 = 1
- which is, of course, absurd.
Also, just by looking at the equation we can see that the term 4n -3 cannot in any way be equal to 4n - 2.
5. The cost of movie tickets at the
Cinema Verite is 9 dollars for adults
and five dollars for children under 12.
During the Saturday and Sunday
matinees, adults are charged 8 dollars
for admission and children under 12
are charged 4 dollars. At any time at
all, there is a group discount for groups
of 15 or more adults at a cost of 6
dollars per ticket. What is the cost for 2
adults and 3 children during the
Saturday matinee?
a. 27
b. 28
C. 14
d. 32
Answer:
its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4
Which of the following are exterior angles? Check all that apply.
6
52
3
O A. 21
O B. 25
O c. 24
O D. 23
E. 22
O F. 26
Using it's concept, it is found that the exterior angles of the triangle are given as follows:
B. <5
C. <4
What are the exterior angles of a triangle?The exterior angles of a triangle are the angles that are outside the triangle.
In this problem, the angles are 4 and 5, which means that options B and C are correct.
More can be learned about the exterior angles of a triangle at https://brainly.com/question/2546141
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Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
5, 10, 15, 20,...
Answer:
Step-by-step explanation:
it is not a geometric sequence
Answer:
no
Step-by-step explanation:
Take the second term and divide it by the first term
10/5 = 2
Take the third term and divide it by the second term
15/10 = 3/2
The ratio is not the same so it is not a geometric sequence
The frequency table above is presented as a pie chart
The sectorial angle of score"3" is ....
Answer:
[tex]Angle = 96[/tex]
Step-by-step explanation:
Given
The frequency table
Required:
Determine the sectorial angle of "3"
First we need to determine the total frequency;
[tex]Total = 3 + 4 + 6 +8 + 5 + 4[/tex]
[tex]Total = 30[/tex]
The sectorial angle is calculated as thus;
[tex]Angle = \frac{Frequency}{Total\ Frequency} * 360[/tex]
Where Frequency of "3" = 8
So;
[tex]Angle = \frac{8}{30} * 360[/tex]
[tex]Angle = \frac{8* 360}{30}[/tex]
[tex]Angle = \frac{2880}{30}[/tex]
[tex]Angle = 96[/tex]
Hence; the sectorial angle of "3" is 96
An exponential function f(x)= ab^x passes through the points (0,10) and (3,1250). What are the values of a and b?
a = I know it’s 10
b = ?
Answer:
a = 10 and b = 5
Step-by-step explanation:
We write out f(x)= ab^x for x = 0 and x = 3 to create two equations in a and b that must be solved simultaneously:
(0, 10): 10 = a*b^0
This tells us that 10 = a*1, or a = 10.
(3, 1250): 1250 = a*b^3 => 10*b^3, or
1250 = 10*b^3, or
125 = b^3. Taking the cube root of both sides, we obtain b = 5.
a = 10 and b = 5
Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?
Vertex (1,3),maximum
Vertex (3,1) minimum
Vertex (1,3),minimum
Vertex (3,1) maximum
Answer:
Vertex (3,1) minimum
Step-by-step explanation:
Hello, I attached a graph with two examples where you can see the Vertex and when this is a minimum vs maximum.
You can see in your graph that the vertex is the point (3,1) and this is a minimum.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The five-number summary for the number of touchdowns thrown by each quarterback in the British Football League is shown in the following table. About what per cent of quarterbacks in the British Football League threw more than 13 touchdowns?
Answer:
❁ 25% ❁
Explanation:
❁ The answer would be 25% ❁
Solve the equation 14=7(2x-4) using two different methods. Show your work. Which method do you prefer? Explain. need help thanks
Answer:
x=3
Step-by-step explanation:
14=7(2x-4)
14/7=2x-4
2=2x-4
2x=2+4
2x=6
x=6/2
x=3
------------
14=7(2x-4)
14=14x-28
14x=14+28
14x=42
x=42/14
x=3
The equation 14 = 7(2x - 4) can be solved using two different methods: the distributive property method and the inverse operations method. Both methods yield the same solution, which is x = 3. The preference between the two methods depends on personal preference and the specific equation being solved.
Distributive Property Method:
We'll distribute the 7 to the terms inside the parentheses:
14 = 7(2x - 4)
14 = 14x - 28
Next, we'll isolate the variable term:
14x = 14 + 28
14x = 42
Finally, we'll solve for x by dividing both sides of the equation by 14:
x = 42/14
x = 3
So the solution to the equation is x = 3.
Inverse Operations Method:
We'll use inverse operations to solve the equation step by step:
14 = 7(2x - 4)
Divide both sides of the equation by 7 to isolate the term in parentheses:
14/7 = 7(2x - 4)/7
2 = 2x - 4
Add 4 to both sides of the equation to isolate the variable term:
2 + 4 = 2x - 4 + 4
6 = 2x
Divide both sides of the equation by 2 to solve for x:
6/2 = 2x/2
3 = x
To learn more on Equation:
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Plz I need the answer ASAP.
Answer:
-10
Step-by-step explanation:
The reason why I believe the answer to your question is -10 is because inequality represents the difference in size, degree, circumstances, etc.; lack of equality. So I had to find the difference between -5 and 5, and -5 minus 5 is -10.
Also if this helps, it would be nice if you gave brainlest :)
What is the volume of the following rectangular prism?
I’m doing this on khan academy and I keep failing the test. Now I’m scared of getting questions wrong
Answer:
8 1/8 units³
Step-by-step explanation:
V = lwh
Since the area is already given to you, just multiply that by the other number.
[tex]V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}[/tex]
Find f-1.
f(x)=4 log2 (x – 7)
Answer:
f(1) = 10.33985 + 18.1294406 i
Step-by-step explanation:
f(1) = 4log2(1-7)
f(1) = 10.33985 + 18.1294406 i
Use the drawing tool(s) to form the correct answer on the provided number line.
Will brought a 144-ounce cooler filled with water to soccer practice. He used 16 ounces from the cooler to fill his water bottle. He then took
out 16 plastic cups for his teammates and put the same amount of water in each cup.
Answer:
Kindly see explanation
Step-by-step explanation:
Given the following :
Amount of water in cooler = 144 ounces
Size of Will's water bottle = 16 ounces
Therefore, the amount of water left after filling his water bottle :
144 ounces - 16 ounces = 128 ounces of water.
The 128 ounces left was used to equally fill 16 plastic cups :
Therefore the number of ounces of water put in each cup equals :
(128 ounces ÷ 16 cups) = 8 ounces.
The maximum number of ounces of water will could have put in each cup is 8 ounces
Thus (0 < x ≤ 8)
See graph below
I am a four digit number
I am a multiple of 110
My second and fourth digit are the same.
The first digit is one more than my third digit
Please help me with this riddle! :)!
PLEASE HELP ME!! I WILL GIVE BRAINLIEST!!
Find the output, y, when the input, x, is -5.
Answer:
[tex]\boxed{y = -2}[/tex]
Step-by-step explanation:
Hey there!
To find y when x is -5 we go to -5 on the x-axis.
When at -5 find where the blue line is vertical to -5,
which is -2.
Hope this helps :)
If g(x) = 1 - ¾ x
find: g(0)
[tex] \sf \: g(x) = 1 - \frac{3}{4} x \\ \sf \:g(0) = \: ? \\ \\ \sf \: Substitute\: the \: value \: of \: x \: as \: 0 \\ \\ \sf \:1 - \frac{3}{4} (0) \\ \sf \: = 1 - \frac{3}{4} \times 0 \\ \sf \: = 1 - 0 \\ \sf \: = \underline{\bf \: 1}[/tex]
Hope it helps.
RainbowSalt2222
I don't understand this question, somebody help
Answer:
H. 50 sq cm
Step-by-step explanation:
Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.
5 * 10 = 50 sq cm
solve by factoring
x^2-8x= -15
Answer:
(5,0)(3,0)
Step-by-step explanation:
x^2 - 8x + 15 = 0
(x - 5)(x - 3) = 0
x - 5 = 0
x = 5
x - 3 = 0
x = 3
TELL ME THE FORMULA FOR VOLUME AND SURFACE AREA OF PRISMS
Answer:
surfacevolume = 1/2 (bh) l
surfacearea = bh + pl
a. How many non-degenerate scalene triangles with integer sides have a
perimeter of 27?
b. A square is inscribed in an equilateral triangle of side length 2 so that
two adjacent corners of the square lie on two sides of the triangle, and
the third side of the triangle contains one side of the square. The area of
the region inside the triangle and outside the square can be expressed as
a√b − c. What is a + b + c?
Answer:
Hello,
a)18
Step-by-step explanation:
[tex]p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}[/tex]
number of triangle=18
b)
Side of the equilateral triangle =2
Height=√3 (using Pythagorean's theorem) (tr ACP)
Triangle ABJ has the same area as the triangle ABC
Uisng Thalès's theorem,
[tex]\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\[/tex]
plsss help meeeeeee!!!! Jakes club has 35 members. it's rules require that 60% of them must be present for any vote. at least how many members must be present to have a vote?
Answer:
21 members
Step-by-step explanation:
Jake's club
Total number of members = 35
percentage of members required to be present for any vote = 60%
= 60/100 × 35
= 0.6 × 35
= 21
PLEASE HELP PLEASE WILL MARK BRAINLY
Answer:
15, 5, 45, 10
Step-by-step explanation:
2 minutes for 10 photos
1 minute for 5 photos
now:
2×5=10
3×5=15
25÷5=5
9×5=45
50÷5=10
A textbook is 14/15 inch thick. How many
textbooks can be stacked on a shelf that is
56 inches high?
Answer:
60 textbooks
Step-by-step explanation:
1) 56*15:14=60
Answer:
60 textbooks
Step-by-step explanation:
To get the answer, you have to divide 56 by 14/15. What I'd do is id think of 56
as 56/1. I'd change 14/15 into a multiplicative inverse/reciprocal, ending up with 15/14. From there, id multiply 56/1 and 15/14, ending up with 840/14.Using long division, id do 840 divided by 14, ending up with 60.
write the formula used to find length when the breadth height and volume are known........breadth when the length height and volume are known............ height when the breadth length and volume are known ..............Please answer this as fast as possible my homework is due tommorow
Answer: L = V/bh
b= V/Lh and h= V/Lb
Step-by-step explanation: V = Lbh or V= lwh is also used for the Basic form for the Volume of a cube or rectangular prism is
Volume = Length × breadth × height
The volume will be expressed as cubic units such as cubic meters cubic feet. Sometimes abbreviations are used like cm^3 for cubic centimeters.
When you know the Volume, and you need to find a missing dimension, just make a fraction with the V in the numerator and the dimensions you know in the denominator. This means you are dividing the Volume by the area of the dimensions you have been given to find the missing dimension.
What is the best estimate of the sum of $14.30, $143.08, and $19.74
Answer:
Step-by-step explanation:
ok so you start off by adding
14.30
143.08
19.74
177.12
177.12 is close to 180 if u estimate in tens, 177 if ones
The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
All real numerals and 0 are included in the category of whole numbers.
The process of adding up the different or more sums or figures.
The sum means plus sing is present between the terms.
The whole numbers are given below,
$14.30, $143.08, and $19.74
Then the summation of the whole numbers is given below.
⇒ $14.30 + $143.08 + $19.74
⇒ $177.12
Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Using the GCF and distributive property, which expressions is equivalent (equal) to 12y + 16
A 2(6y + 80)
B 4(3y + 4)
C 28y
D 16 + 12y
Answer:
4(3y+4)
Step-by-step explanation:
12y + 16
4*3*y +4*4
Factor out 4
4(3y+4)
Answer:
2(6y+80) = 12y+160
4(3y+4) = 12y+16
28y = 28y
16+12y = 12y+16 (did not use distributive property)
So, B is correct.
Let me know if this helps!
HELP HELP HELP HELP HELP HELP!!! What symbol is needed between –2 ? |–3| to make a true statement?
Answer:
[tex]\boxed{<}[/tex]
Step-by-step explanation:
[tex]-2 \ ? \ |-3|[/tex]
[tex]\sf Solve \ absolute \ value.[/tex]
[tex]|-3|=3[/tex]
[tex]-2 < 3[/tex]
[tex]\sf -2 \ is \ less \ than \ 3.[/tex]
Answer:
<
Step-by-step explanation:
|-3| = 3
-2 < 3
Which expression is equivalent to (0.5n−0.3)−(0.8n−0.9)?
Answer:
-0.3n + 0.6
Step-by-step explanation:
if we write out the entire expression we have:
0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)
then we add and subtract
and receive
-0.3n + 0.6
Answer:
-0.3n + 0.6
Step-by-step explanation:
We can eliminate the parentheses, obtaining:
0.5n - 0.3 - 0.8n + 0.9
and then combine like terms, obtaining:
-0.3n + 0.6
cqn someone answer this?
Answer:
-3Step-by-step explanation:
-11/2+27/4+(-17/4)(-22+27-17)/4(-12)/4-3