The time required to fill the pool by using both the hoses is 4/5 hours.
What is algebra?Algebra is the study of mathematical expressions, in which letters and other generic symbols are used to represent numbers and quantities in formulas and equations.
Given that,
Time taken by hose A to fill 3/4 of the pool = 1 hour.
And time taken by hose B to fill the 2/4 of the same pool = 1 hour.
From the given information,
Time taken by hose A to fill the whole pool = 1 x (4/3) = 4/3 hours
And time take by hose B to fill the whole pool = 1 x (4/2) = 1 x 2 = 2 hours.
The LCM of 4/3 and 2 is 4, which can be considered as total capacity of pool.
The efficiency of hose A = 4/(4/3) = 3
The efficiency of hose B = 4/2 = 2
Total time taken to fill the whole pool by using both hoses
= 4 / (3+2) = 4 / 5 hours
If both hoses are uses, then it will take 4/5 hours to fill the pool.
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20% of _____ is 18
what is the blank
Answer:
90
Step-by-step explanation:
If you borrowed $646 at an interest rate of 5% for 6 years, how much interest will you pay? Round to the nearest tenth if necessary.
Answer:
P=646
R=5%
T=2yrs
I=?
I=PRT/100
I= 646*5*2/100
I= 64.6
Step-by-step explanation:
Answer:
the answer is 100
Step-by-step explanation:
646 X 5 IS 3000
3000/5 is 600
and then round tenth so its 10
600/10 is 60
60 + 40 = 100 and there you go bravo
Are these ratios equivalent?
28 hot dogs to 50 hamburgers
15 hot dogs to 30 hamburgers
Answer:
Step-by-step explanation:
28 : 50 and 15 : 30
14 : 25 and 1 : 2 are not equivalent
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t^2 +16t+480
How long did it take Jason to reach his maximum height?
Answer:
5 seconds
Step-by-step explanation:
I did the same question a while ago.
Isaac's finish 7 heavy cleans every 5 minutes Ryan finish heavy 8 clean every 4 minutes how many more cleans did Isaac complete than
Ryan
Answer:
12 more cleans
Step-by-step explanation:
You need to make each person have done work the same amount of time that is a multiple of 4 and 5. The closest is 20. So multiply 5 to 8 cleans for Ryan and 4 to 7 cleans for Issac. 40 cleans for Ryan - 28 cleans for Issac = 12 more cleans for RYAN, not Issac.
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their purchasing habits. Construct the 80% confidence interval for the mean number of toys purchased each year if the sample mean was found to be 7.6. Assume that the population standard deviation is 1.5. Round your answers to one decimal place.
Answer:
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.28\frac{1.5}{\sqrt{305}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5
The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7
The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.
6 8ths -2 8ths thanks please explain to
Answer:
0.5 or [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?
Answer:
1 taco is $4
Step-by-step explanation:
2t + 3d = 14 4t + 6d = 28
3t + 2d = 16 -9t -6d = -48
-5t = -20
t = 4
A tacos would cost $4.00.
Let the cost of tacos be T.Let the cost of drinks be D.Translating the word problem into an algebraic equation, we have;
[tex]2T \; + \; 3D = 14[/tex] ......equation 1
[tex]3T \; + \; 2D = 16[/tex] ......equation 2
To find how much a tacos cost, we would solve the above system of equations by using the substitution method.
From eqn 1, we would make D the subject of formula;
[tex]D = \frac {14 \; - 2T}{3}[/tex] .....equation 3
Substituting eqn 3 into eqn 2, we have;
[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]
Lowest common multiple (LCM) = 3
[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]
Cross-multiplying, we have;
[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]
Tacos, T = $4.00
Therefore, the cost of a tacos is $4.00.
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Trigonometric ratios can be used with any type of triangle.
O
True
O
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
A nurse administers 25 milligrams of a drug to a patient. The amount of the drug, A, in milligrams, left in the patient after thours can be modeled by the function A(t) = 25e 0.354
How many hours will it take for the amount of the drug left in the patient to drop to 0.25 milligrams? Round your answer to the nearest tenth of an hour.
hours
Pls helppp
Answer:
heyy guyss how r u all I'm Aditya from. India I've changed my server to Ireland is this Ireland
Step-by-step explanation:
and plss guyss fo llo w me
Please help I need it soon
Answer:
[tex](3 \times 12) + (3 \times 3 \times 0.5)[/tex]
Step-by-step explanation:
answer is 40.5 . please like my answer and brainliest me HSHSSHSHS
Lesson 18: Exponentials Unit Test Algebra 1 B Unit 5: Exponentials
What is the value of the function? f(x)=(−2)3(3)0(4)−2
−3/2
0
−3/4
−1/2
Simplify the expression (45y5y744y9)2
This is a 17 question test those are the first 2 please try and find all 17 you have the title first to give all 17 will get brainlist
Answer:
search mo po sa goggle
Answer:
id k the first one
Simplify the expression (45y5y744y9)2 =
90[tex]y^{758}[/tex]
Ava read 126 books in 12 months. How many books per month did she read? Show your work
What is y in this equation
Answer:
y = 88
Step-by-step explanation:
y + 53 + 39 = 180
y + 92 = 180
y = 88
I don’t get this I need help if you get it right I will mark you as brainlest
Answer:
Step-by-step explanation:
In 2012, the world population was 7.02 billion. The birth rate had stabilized to 134 million per year and is projected to remain constant. The death rate is projected to increase from 56 million per year in 2012 to 80 million per year in 2040 and to continue increasing at the same rate.
(a) Assuming the death rate increases linearly, write a differential equation for P(t), the world population in billions t years from 2012.
(b) Solve the differential equation.
(c) Find the population predicted for 2050.
Answer:
[tex](a)\ \frac{dP}{dt} = 0.078- 0.000857t[/tex]
[tex](b)\ P = 0.078t- 0.0004285t^2 + 7.02[/tex]
[tex](c)\ 9.37\ billion[/tex]
Step-by-step explanation:
Given
In 2012
[tex]P(t) = 7.02\ billion[/tex]
[tex]R_1 = 134\ million/year[/tex] --- Birth rate
[tex]R_2 = 56\ to\ 80[/tex] -- Death rate from '12 to '40
Solving (a): Equation for population from 2012
In 2012, we have the addition in population to be:
[tex]\triangle P= Birth - Death[/tex]
[tex]\triangle P= 134 - 56[/tex]
[tex]\triangle P = 78[/tex] million
From 2012 to 2040, we have the death rate per year to be:
[tex]Rate/yr = \frac{80 - 56}{2040 - 2012}[/tex]
[tex]Rate/yr = \frac{24}{28}[/tex]
[tex]Rate/yr = \frac{6}{7}[/tex] million/year
So, the differential equation is:
[tex]\frac{dP}{dt} = \triangle P - Rate/yr * t[/tex] where t represents time
[tex]\frac{dP}{dt} = 78 - \frac{6}{7} * t[/tex]
[tex]\frac{dP}{dt} = 78 - \frac{6t}{7}[/tex]
Express in millions
[tex]\frac{dP}{dt} = \frac{78}{1000} - \frac{6t}{7000}[/tex]
[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]
Solving (b): The solution to the equation in (a)
[tex]\frac{dP}{dt} = 0.078- 0.000857t[/tex]
Make dP the subject
[tex]dP = (0.078- 0.000857t)dt[/tex]
Integrate both sides
[tex]\int dP = \int (0.078- 0.000857t)dt[/tex]
[tex]P = \int (0.078- 0.000857t)dt[/tex]
This gives:
[tex]P = 0.078t- \frac{0.000857t^2}{2} + c[/tex]
[tex]P = 0.078t- 0.0004285t^2 + c[/tex]
Solve for c.
When t = 0; P = 7.02
So, we have:
[tex]7.02 = 0.078*0- 0.0004285*0^2 + c[/tex]
[tex]7.02 =0-0 + c[/tex]
[tex]7.02 =c[/tex]
[tex]c = 7.02[/tex]
So:
[tex]P = 0.078t- 0.0004285t^2 + c[/tex]
[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]
Solving (c): The population in 2050
We have:
[tex]P = 0.078t- 0.0004285t^2 + 7.02[/tex]
In 2050, the value of t is:
[tex]t = 2050 - 2012[/tex]
[tex]t = 38[/tex]
So, the expression becomes
[tex]P = 0.078*38- 0.0004285*38^2 + 7.02[/tex]
[tex]P \approx 9.37\ billion[/tex]
Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me please. No links please
Answer: 58 .23
Step-by-step explanation:
Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Sheldon spent $42 on cookies. If each box cost $6, which equation will tell you how many boxes of cookies Sheldon bought?
Answer:
42 multpliy by 6
Step-by-step explanation:
Sheldon bought 7 boxes of cookies if he spent $42 on cookies.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one box of cookies = $6.
And total amount spent by Sheldon on cookies = $42.
Let Sheldon bough x boxes of cookies.
To find the number of boxes of cookies x,
Use ratio property,
Cost of one box of cookies = $6
Cost of x boxes of cookies = $6x
Total price = 42
6x = 42
x = 7
The required number of boxes of cookies is 7.
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My question... please answer asap
Answer:
slope=1/4
y-intercept=3
y=.25x+3
Step-by-step explanation:
slope=rise over run so
slope=1/4
y-intercept is the value of y where the line crosses the y axis..
y-intercept=3
In y=mx+b form m is slope and b is y-intercept so...
y=.25x+3
Evaluate the expression: 12 x (3+2)² ÷ 2 -10
Answer:
140
Step-by-step explanation:
Here, we use BODMAS
12 x (3+2)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 x (5)² ÷ 2 - 10
12 × 25 ÷ 2 - 10
12 × 12.5 - 10
150 - 10 = 140
Thus, The answer is 140
-TheUnknownScientist
HELP PLEASE! I WILL GIVE BRAINLIEST
Answer:
13.89
Step-by-step explanation:
A^2+B^2=C^2
7^2+12^2=C^2
193 = C^2
193 square root = 13.89
Pls help,
Type the answers and leave each part as abcd so I don’t type it in wrong
I WILL MARK BRANLIST IF U GIVE ME AN ACTAUL ANSWER
Answer:
a
If they are vertical angles, they are equal.
5x - 24 = 3x + 24 Add 24 to both sides
5x -24 +24 = 3x + 24 + 24 Combine
5x = 3x + 48 Subtract 3x
5x - 3x = 3x-3x + 48 Combine
2x = 48 Divide by 2
x = 24
<A =5*24 - 24
<A = 96
Step-by-step explanation:
Complete the sentence.
9 is 36% of
Answer:
3.24
Step-by-step explanation:
9 takes up 3.24 of 36%
Answer:
9 is 36% of 25
Step-by-step explanation:
36%×x=9
36/100×x=9
x=9×100/36
x=25
Can someone pls help me with this question
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
Work:
[tex]A=Pe^{rt}\\\\A=800e^{0.1*8}\\\\A=800e^{0.8}\\\\A=1780.43[/tex]
an influencer had 400 subscribers in January. The number of subscribers have grown by a factor of 1.5 every month since then. write a sequence that represents the number of subscribers for the three months that followed (january through april)
Answer:
y=400(1.5)^4
Step-by-step explanation:
Find a fraction with a demominator of 30 that is equivalent to 1/3
Answer:
10/30
Step-by-step explanation:
First, multiply the denominator by 10 to make 30.
Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10
Therefore the answer is 10/30.
WALLAHI HELP ME PLEASE
9514 1404 393
Answer:
(a) yes
Step-by-step explanation:
Put the numbers in for x and y and see if you get a true statement.
5 ≤ 2(4) +1
5 ≤ 9 . . . . . . true
The point is a solution.
Please give me the correct answer.Only answer if you're very good at math.Please use the Pythagorean Theorem formula which is a^2 + b^2 = c^2.
Answer:
c = 8.7 inches
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute in the known values for a and b (the order doesn't matter):
(4.8)^2 + (7.3)^2 = c^2
multiply 4.8 times itself, 7.3 times itself:
23.04 + 53.29 = c^2
76.33 = c^2
Now find the square root of both sides of the equation (square root of c^2 = c):
8.736= c
It says round to the nearest tenth, so c = 8.7 inches