One pipe can fill a tank in four hours; another pipe can fill the same tank in three hours. How long would it take to fill the tank if both pipes filled it at the same time? [?] hours Enter the number that belongs in the green box. Enter
Answers
9514 1404 393
Answer:
[tex]\dfrac{12}{7}[/tex]
Step-by-step explanation:
The first pipe fills 1/4 of the tank in 1 hour. The second pipe fills 1/3 of the tank in 1 hour. So, in 1 hour, the amount of the tank that is filled is ...
[tex]\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{7}{12}\quad\text{of the tank in 1 hour}[/tex]
This number is the fill rate in tanks per hour. We want the reciprocal of that, the fill time in hours per tank. The reciprocal of 7/12 is 12/7.
It will take 12/7 hours to fill the tank.
_____
Comment on the answer
It looks like you may be asked to fill two "green boxes" to provide the complete answer. The box shown as green in this question is the numerator of the fraction, so should be filled with 12. (We expect that the denominator entry will be made available as soon as you enter the numerator. Your experience with this web site will tell you if that is true.)
Related Questions
Choose the definition for the function.
Answers
Answer: C
Step-by-step explanation:
I need help again with this last problem.
Answers
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] |12| + | - 15| = [/tex]
[tex]12 - ( - 15) = [/tex]
[tex]12 + 15 = [/tex]
[tex]27[/tex]
Thus the correct answer is the last option .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
[tex] \boxed {27}[/tex]
Step-by-step explanation:
All negative numbers in the absolute sign will become positive.
[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]
Therefore we evaluate | - 15 | = 15
[tex]12 + 15 = \red {27}[/tex]
Solving a Real-World Problem
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is
worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each
point value are on the test.
Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
x + y = 29, 5x + 2y = 100
x + y = 100, 5x + 2y = 29
5x + y = 29, 2y + x = 100
2x + y = 100, 5y + x = 29
Answers
Answer:
x + y = 29
5x + 2y = 100
Step-by-step explanation:
Here, we want to set up equations
There are 29 problems, so adding up the number of individual problem types will give 29
x + y = 29 ••••••(i)
Let us work with points now;
x is worth 5 points, y is worth 2 points
Thus, mathematically;
5x + 2y = 100 ••••••••••(ii)
Answer: A. x + y = 29, 5x + 2y = 100 and the other one is B. 14 problems worth 5 points and 15 problems worth 2 points
find the values of z and y plssss
Answers
Answer:
z is 23 and i dont see a y
Step-by-step explanation:
A recipe calls for 2 1/2 cups of flour. The recipe makes 5 servings. How many cups of flour are needed to make 7 servings?
Answers
Answer:
Step-by-step explanation:If a recipe calls for 2 1/2 cups of flour and you want to make five times the ... However, measuring flour in cups is far from precise and the dish, pie or cake you ... So for example if your recipe with 2 1/2 cups flour calls for 1 cup water when you make a 5 ... If I used 4 cups of flour, how much of the other ingredients are needed
Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
72/6=12
64/4=16
Two students are reading a book. Keith reads 6 pages a day. Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. Write a system of equations to represent the situation, using d for days and p for pages.
Answers
Answer:
P = 6d ; P = 5d + 15
Step-by-step explanation:
Given that :
Keith = 6 pages per day
Tameka = 5 pages per day
Tameka has already read 15 pages
If d = Number of days ; p = pages read
Keith :
Pages read, p = pages read per day * Number of days, d
P = 6d
Tameka :
Pages read, p = (pages read per day * Number of days, d) + pages read already
P = 5d + 15
The system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
[tex]\\P=6d[/tex]
[tex]P=5d+15[/tex]
What is the system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Two students are reading a book. Keith reads 6 pages a day. Equation for Keith, where d for days and p for pages can be given as,
[tex]P=6\times d\\P=6d[/tex]
Tameka reads 5 pages a day, but he starts sooner and has already read 15 pages. The equation for Tameka, where d for days and p for pages, can be given as,
[tex]P=5\times d+15\\P=5d+15[/tex]
Hence, the system of equations to represent the number of pages read per day by Keith and Tameka, using d for days and p for pages are,
[tex]\\P=6d[/tex]
[tex]P=5d+15[/tex]
Learn more about the system of equations here;
https://brainly.com/question/13729904
Select the correct answer. What is the solution of
[tex] \frac{5}{2}x - 7 = \frac{3}{4}x + 14[/tex]
A. x = -6
B. x = 6
C. x = 8
D. x = 12
Answers
Answer:
Option D
Step-by-step explanation:
[tex] \frac{5x}{2} - 7 = \frac{3x}{4} + 14[/tex]
[tex] = > \frac{5x}{2} - \frac{3x}{4} = 14 + 7[/tex]
[tex] = > \frac{7x}{4} = 21[/tex]
[tex] = > x = \frac{21 \times 4}{7} = 12[/tex]
A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?
Answers
Answer:
drivers license do you like that song?
Step-by-step explanation
I got my driver's license last week
Just like we always talked about
'Cause you were so excited for me
To finally drive up to your house
But today I drove through the suburbs
Crying 'cause you weren't around
And you're probably with that blonde girl
Who always made me doubt
She's so much older than me
She's everything I'm insecure about
Yeah, today I drove through the suburbs
'Cause how could I ever love someone else?
And I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
And all my friends are tired
Of hearing how much I miss you but
I kinda feel sorry for them
'Cause they'll never know you the way that I do
Yeah, today I drove through the suburbs
And pictured I was driving home to you
And I know we weren't perfect but I've never felt this way for no one
Oh, and I just can't imagine how you could be so okay now that I'm gone
I guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Red lights
Stop signs
I still see your face
In the white cars
Front yards
Can't drive past the places
We used to
Go to
'Cause I still f- love you, babe
Sidewalks
We crossed
I still hear your voice
In the traffic
We're laughing
Over all the noise
God, I'm so blue
Know we're through
But I still f- love you, babe
I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Yeah, you said forever now I drive alone past your street
Answer:
b
Step-by-step explanation:
what is 1/5x +8 < -4
Answers
Answer:
The answer is x< -60
please let me know if I am incorrect.
Explanation:Solve for x by simplifying both sides of the inequality, then isolating the variable.
solve for y
equation : y=mx+b
Answers
Answer:
? i need numbers
Step-by-step explanation:
please help me . weak in here
Answers
9514 1404 393
Answer:
x = 10√3
Step-by-step explanation:
The Pythagorean theorem tells you ...
FB^2 = BC^2 +CF^2
FA^2 = FB^2 +BA^2
Substituting for FB^2, we have ...
FA^2 = BC^2 +CF^2 +BA^2 = x^2 +x^2 +x^2
FA^2 = 3x^2
FA = x√3 = 30 . . . . take the square root and substitute for FA
x = 30/√3
x = 10√3
y=x+3 find the inverse
Answers
Answer:
[tex]f^{-1} (x) = x - 3[/tex]
Step-by-step explanation:
The graph shows how a motorboat travels around a lake. What does the graph most likely show?
Answers
The speed of the boat increases steadily for 10 minutes and travels at a constant speed after 10 minutes.
Option D is the correct answer.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
The x-axis can be assumed as 10 minutes for each unit.
Now,
From the graph, we see that the speed is steadily increasing as the time increases from x= 0 to x = 10.
From x = 10, the line on the graph is horizontal this means, the speed is constant.
Thus,
The speed of the boat increases steadily for 10 minutes and travels at a constant speed.
Learn more about speed here:
https://brainly.com/question/7359669
#SPJ2
Aiden cuts a ball of string into 14 equal pieces. The length of each piece of string is 2 1/4 yards. What is the original length of the ball of string?
Answers
Answer:
31 1/2 yards
Step-by-step explanation:
In order to calculate the original length of the ball of string we simply need to multiply the length of each piece of string by the total number of strings that were produced from the original ball of string. First, we can turn the 2 1/4 into a single decimal number. Since 1/4 is equal to 0.25 we just add this to 2 to get 2.25, now we can go ahead and multiply this by the 14 total pieces.
2.25 * 14 = 31.5 or 31 1/2 yards
For the equation 2x + 7 =30, x = 3
O True
O False
Answers
Have a good day <3
Answer: False
=============================================================
Explanation:
To see if the x value is a solution or not, we plug it into the equation given
2x+7 = 30 .... original equation
2*3 + 7 = 30 .... replace every x with 3, since we claim that x = 3
6 + 7 = 30 .... multiply 2 and 3 to get 6
13 = 30 ...... add 6 and 7 to get 13
We get two different numbers on either side, so the last equation is not true. We get a contradiction or false statement. So the original equation is false when x = 3. Therefore, x = 3 is not the solution.
That's why the overall claim is false.
Please help!
And explain the answers too!
Answers
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.
2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job
3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.
i bet nobody will anser this =P. Solve 52.425 divided by 0.5
Answers
Answer:
104.85
Step-by-step explanation:
c:
Answer:
104.85
Step-by-step explanation:
52.425/0.5=104.85
need to know soon! please help
Answers
Answer:
59
Step-by-step explanation:
62+59= 121
180-121= 59
Answer:
m<1 = 121
Step-by-step explanation:
59 + 62 = 121
180 - 121 = 59
180 - 59 = 121
Which of the following best describes the equation below?
y = 8x + 15
A.
neither linear nor nonlinear
B.
both linear and nonlinear
C.
nonlinear
D.
linear
Answers
Becca had of a yard of ribbon to use for her crafts projects. She used of a yard to make a bow. How much ribbon, r, does Becca have left?
Set up an equation and solve.
answers:46/105, 91/45, 3r/7, 3/7 - r , 136/105
only two space for two answers
Answers
Answer:
a y a r d = a 2 y r d a y a r d = a 2 y r d
Step-by-step explanation:
Give the domain and range of the relation th
1. {(-3, 3), (1, 1), (0, -2), (1, -4), (5, -1)}
Domain:
Range:
Function?
What is it
Answers
Answer: the domain is -3. 1, 0, 1, and 5 and range is, 3. 1, -2, -4, and-1 I dont know the function but I hope this helped
Step-by-step explanation:
Write a solution to the equation x? = 75 two
ways:
using exponents
using radicals
Answers
Megan budgeted $300 for her shopping trip. She spent $61.50 on jewelry at Revin Jewelry. What percent of her budget did she spend on jewelry? (write the exact percentage)
Answers
Answer:
20.5%
Step-by-step explanation:
Here, we want to calculate the % spent on Jewelry
To get that, we divide the amount spent on Jewelry by the total budget and multiply by 100
That will be;
61.5/300 * 100% = 20.5%
The volume of a cylinder is 176 cm and its height is 11 cm,
What is the length of the cylinder's radius?
Answers
Answer:
4cm
Step-by-step explanation:
The volume of the cylinder is the product of the area of the base and the height. In mathematical equation, this can be written as,
V = πr²h
where V is volume, r is the radius, and h is the height.
Substituting the known values from the given,
176π cm³ = πr²(11 cm)
There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What is the total number of yellow and blue marbles?
Answers
Answer:
Step-by-step explanation:
Change the 2/3 to 4/6
Now the ratio becomes 3:4:6
So the number of each is
3x + 4x + 6x = 520
13x = 520
x = 40
Red = 3*40 = 120
Yellow = 4*40 = 160
Blue = 6 * 40 = 240
Total = 520
Ramon owed $850.00 on his car loan. Two months later, he owed $510.00
on the loan. By which percent did Ramon's car loan amount decrease?
Answers
Answer:
40%
Step-by-step explanation:
(850-510)/850 = 340/850 = 2/5 = 40%
Answer: 40% I looked it up
Step-by-step explanation:
can I get help with this
Answers
Answer:
$3,600
Step-by-step explanation:
To find the total amount we can state that $270 divided by 0.075 can find us the total amount of office receipts.
Doing so, we get: $270 over 0.075 = $3,600
Find the inverse of the function f(x) = 2x - 4.
Answers
Answer:
f⁻¹(x) = 1/2 x + 2
Step-by-step explanation:
f(x) = 2x - 4 y=2x - 4
swap x and y: x = 2y - 4
solve y: 2y = x + 4
y = 1/2 x + 2
Inverse notation: f⁻¹(x) = 1/2 x + 2
Find each function value f(-7) if f(x) = 3x + 6
Answers
Answer:
-15
Step-by-step explanation:
3*-7=-21+6=-15
Answer:
Step-by-step explanation:
first multiply -7 and 3 since -7 is the element of the function (x)
then you should get (-21)
now add 6 and you answer should be (-15)