Water is flowing from Tank #1 to Tank #2 as shown in the picture. Originally, Tank #1 had 1,540 gallons in it and Tank 2 had 236 gallons in it. Water is draining out of Tank #1 at a ate of 6 gallons per minute and, thus, filling Tank #2 up at a ate of 6 gallons per minute. ) Write an equation for each tank that models the volume of water, v in gallons, as a function of the number of minutes, m, that the water has been flowing. Tank #1: Tank #2: Find out how long it takes, to the nearest minute, for the two tanks to have Will it take longer or shorter than 2 hours? Justify.​

Answers

Answer 1

Answer:

Melody, think about this as below

Step-by-step explanation:

when does tank 1 = tank 2  when there is 6 gpm

tank 1 = 1540

tank2 = 236

1540-6x = 236 +6 x

1304 = 12x

108 [tex]\frac{2}{3}[/tex] = x

6*108 [tex]\frac{2}{3}[/tex] = 652 gallons

236+652=888

1504-652=888

in 108 [tex]\frac{2}{3}[/tex]  minutes the tanks become equal with 888 gallons each :)


Related Questions

Help please is for now

Answers

Answer: 5

Steps:
5x - 2y = 30
5(8) - 2y = 30
40 - 2y = 30
-2y = 30 - 40
-2y = -10
y = -10/-2
y = 5

I would appreciate the brainliest if this answer was correct and the steps were clear and helpful! :)

What is a square root inequality?

Answers

Answer:

(Figure 1) Hence squaring both sides of an inequality will be valid as long as both sides are non-negative. Since square roots are non-negative, inequality (2) is only meaningful if both sides are non-negative. ... Hence, squaring inequalities involving negative numbers will reverse the inequality.

Step-by-step explanation:

Hope this helps have a ncie day :)

the question is in the picture ​

Answers

the answer is third one

zero has how many square roots? Why?

Answers

Answer:

Zero has one square root which is 0. Negative numbers don't have real square roots since a square is either positive or 0.

Step-by-step explanation:

please help! 50 points
Use the drawing tool(s) to form the correct answers on the provided graph.
Consider the function given below.

Answers

Answer:

See attached

x- intercepts

(-2, 0), (-1, 0), (1, 0)

y- intercept

(0, -2)

Which story can be represented by Ask Your Teacher


Rob bought 3 pounds of roast beef. He made sandwiches for a picnic and used 1/4 pound of roast beef in each sandwich. How many sandwiches did Rob make?
Rob made 3 sandwiches. He put 1/4 pound of roast beef in each sandwich. How many pounds of roast beef did Rob use?
Rob bought 1/4 pound of roast beef. He made 3 sandwiches for a picnic. How many pounds of roast beef did Rob put in each sandwich?
Rob bought 3 pounds of roast beef. He used 1/4 pound to make a sandwich for a picnic. How many pounds of roast beef does Rob have left?

HELP I AM ON A TEST

Answers

Divide 3 pounds by 1/4 pound per sandwich.

3 / 1/4

When dividing by a fraction flip the fraction over and change divide to multiply:

1. 3 x 4/1 = 12/1 = 12 total sandwiches.

2. Multiply amount per sandwich by number of sandwiches:

3 x 1/4 = 3/4 total

3. Divide total bought by number of sandwiches:

1/4 /3 = 1/4 x 1/3 = 1/12 pound per sandwich

4. Subtract the amount used from total:

3 - 1.4 = 2 3/4 pounds left.

Answer:

3 ./. 1/4

Step-by-step explanation:

a snowboarder travels 135 meters in 9 seconds how far will the snowboarder travel in 18 seconds

Answers

Answer:

The snowboarder travels 270 m in 18 seconds.

Step-by-step explanation:

Given that,

A snowboarder travels 135 meters in 9 seconds.

We need to find how far will the snowboarder travel in 18 seconds.

9 seconds = 135 m

1 second = (135/9) m

In 18 seconds,

[tex]t=\dfrac{135}{9}\times 18\\\\=270\ m[/tex]

So, the snowboarder travels 270 m in 18 seconds.

What is the correct form of the partial fraction decomposition for StartFraction 6 x + 7 Over (x + 2) squared EndFraction?


StartFraction A Over x + 2 EndFraction + StartFraction B Over (x + 2) squared EndFraction

StartFraction A Over x + 2 EndFraction + StartFraction B x + C Over (x + 2) squared EndFraction

StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C Over (x + 2) squared EndFraction

StartFraction A Over x EndFraction + StartFraction B Over x + 2 EndFraction + StartFraction C x + D Over (x + 2) squared EndFraction

Answers

Answer:

its B

Step-by-step explanation:

edge 2020-2021

Answer:

The answer's B!

Step-by-step explanation:

I got it right on Edge 2021! :)

giving brainliest !! *easy*

Answers

I believe that the center is located at (1,-3) and the radius is 3.

um here’s the graph

Suppose that in a random sample of size 200, standard deviation of the sampling distribution of the sample mean 0.08. researcher wanted to reduce the standard deviation to 0.04. what sample size would be required?

Answers

Answer:

400

Step-by-step explanation:

The computation of the sample size needed is shown below:

Since at the sample size of 200 there is a standard deviation of 0.08

But when the standard deviation is 0.04 so the sample size is 400

As sample standard deviation would be inversely proportional to the square root of the sample size

Use the passbook page to answer the question.
Name Ken Ritter
Account 10000000004
Date Deposit Withdrawal Interest Balance
1/02/06 $389.00
$389.00
2/05.06 $25.63
A
3/02/06 $122.33
B
4/02/06
$240 С
4/15,06
$500.00
D
5/06/06 $105.00
E
Ken Ritter was saving for a computer.
What was his balance B after he made two deposits?
O $526.36
o S536.96
OS554.26
O S636.86

Answers

Answer:

the answer is 536.96

its asking for you to add the balance (389) with the 2 deposits (25.63, 122.33)

hope this helps

Dave's bank account balance reads -$345. What does this mean?

Answers

Answer:

hes in debt 345 dollars

Step-by-step explanation:

His total debt is $345

solve for x 7x - 6 = 9x + 6​

Answers

x = -6

Step-by-step explanation:

7x - 6 = 9x + 6

Add 6, both sides;

7x-6+6 = 9x+6+6

7x=9x+12

Subtract 9x, both sides;

7x-9x = 9x+12-9x

-2x = 12

Divide by same term (-2 in this case);

-2x/-2 = 12/-2

x = -6

Therefore, the value of x is -6

What is a prime polynomial?

Answers

Answer:A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.

Step-by-step explanation:

Answer:

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree , also with integer coefficients, is called an irreducible or prime polynomial . Example 1: x2+x+1.

What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]​

Answers

Answer:

9

Step-by-step explanation:

Slope is the same as coefficient of x

From the equation

3x+4y=12

Y=(-3/4)x+3

The slope for this eqn is -3/4

For this equation

Px+12y=30

12y=-p+30

Y= (-p/12)x +30/12

The slope is -p/12

To get p

-p/12=-3/4

P=9

The value of "p" is 9 for the pair equations  [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].

Solutions to a system of linear equations

A system of linear equations can have,

no solutionexactly one solution or unique solutioninfinitely many solutions

Conditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]

Calculating the "p" value for the given pair of equations:

Given pair of equations

[tex]3x + 4y = 12\\px + 12y = 30[/tex]

Representing them in the slope-intercept form:

[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]

As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m

So,  for the two equations slopes are,

[tex]m_1=-\frac{3}{4}[/tex] and

[tex]m_2=-\frac{p}{12}[/tex]

Since it is given that there is no unique solution for the given pair of equations we can write,

[tex]m_1=m_2[/tex]

⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]

⇒[tex]p=9[/tex]

Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.

Learn more about linear equations here:

https://brainly.com/question/7563683

#SPJ2

Give the sum of -2 3/8 + 1 1/4 in simplest form

Answers

find a common denominator
so -2 3/8 + 1 1/8
= -2 3/8 + 1 2/8
= -1 5/8

PLEEEEASEEEE I NEED HELP WITH THE ANSWER NOWWWWW!!
i BEG YOUUU GUUUYYYYSSS PLEASEEEE

Answers

Answer:

2.4 x 10^4 is the answer in Scientific notation.

Step-by-step explanation:

Divide the 22 million by the 900 texts a month to get 24,444 then round to 24,000

Lo siento muchísimo, no lo sé 14

Which of these is equivalent to 12x + 6 ? Select all.
A. 3(4x + 2)
B. 6(2x + 1)
C. 6x(2x + 1)
D. 2(6x + 3)

Answers

Answer:

A

Step-by-step explanation:

are there mutiple answers possible? if so, then
A, B and D are right

What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,

Answers

Answer:

The common difference between successive terms in the sequence is -0.1

Step-by-step explanation:

Common difference in an arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

0.36, 0.26, 0.16, 0.06, -0.04, -0.14

Subtraction of each term by its predecessor. So

0.26 - 0.36 = 0.16 - 0.26 = -0.1

The common difference between successive terms in the sequence is -0.1

Write the following numbers in decreasing order: −4; 1 2/3 ; 0.5; −1 3/4 ; 0.03; −1; 1; 0; -103; 54

100 points (plz answer asap)

Answers

Answer:

-103; -4; -1 3/4; -1; 0; 0.03; 0.5; 2/3; 1; 54

Decreasing order means from largest to smallest

The ordered list is:

54, 1 2/3, 1, 0.5, 0.03, 0, -1, -1 3/4, -4, -103

A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:

90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three

Required:
How many are interested in exactly one kind of show?

Answers

Answer:

144

Step-by-step explanation:

The best way to attempt this question is to solve it using a Venn diagram

From the given information, Let;

D = documentaries

I = interview shows

G = game show reruns

From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.

i.e

= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)

= 300 - 234

= 66

No of those interested in exactly one kind of show = 66 + 60 + 18

= 144

∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]

Pls help you will get brainlist if ya do

Answers

The x and y coordinate are switched

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20
A person who is 6 feet tall stands by a flagpole and casts a shadow that is 3 feet long. At
the same time, the flagpole casts a shadow that is 20 feet long. How tall is the flagpole?
Please explain how you would set this question up then provide the answer.

Answers

i'm gonna say 40 ft tall because the 6ft man has a shadow ty at us 3ft so yuhhh

What is the slope-intercept form of the equation -3x + y=12

Answers

answer: y=3x+12

explanation: just add the 3x to the 12
x = -4
y = 12

(-4,0), (0,12)

How do you identify horizontal asymptotes? How do you know the equation of the asymptote?

Answers

Step-by-step explanation:

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote. If the polynomial in the numerator is a higher degree than the denominator, there is no horizontal asymptote.

Find the slope of the line that passes through (6, 8) and (10, 9).

Simplify your answer and write it as a proper fraction, improper fraction, or integer

Answers

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]

The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

Substitute in the values of x and y into the equation to find the slope.

[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]

Simplify.

[tex]m = \frac{1}{4} [/tex]

Therefor, the slope is 1/4.

QUESTION 1
1.1 Given the arithmetic series: - 7 - 3+1 ........... + 173
1.1.2 Calculate the sum of the series.

Answers

Step-by-step explanation:

answer is 3,818

pls Mark as brainliest

A ball is thrown straight up from the top of a building 144 ft tall with an initial velocity of 48 ft per second. The height
s(t) (in feet)
of the ball from the ground, at time t (in seconds), is given by
s(t) = 144 + 48t − 16t^2.
Find the maximum height attained by the ball.

Answers

Answer:

180feet

Step-by-step explanation:

Given the function that models the height of a ball

s(t) = 144 + 48t − 16t^2.

At maximum height, the velocity is zero ie. ds/dt  = 0

ds/dt = 48 - 32t

0 = 48 - 32t

48 = 32t

t = 48/32

t = 1.5secs

Get the maximum height

s(t) = 144 + 48t − 16t^2.

s(1.5) = 144 + 48(1.5)-16(1.5)^2

s()1.5) = 144 + 72 - 16(2.25)

s(1.5) = 144 + 72-36

s(1.5) = 180 feet

Hence the maximum height attained by the ball is 180feet

What is the area of the triangle?

Answers

Answer:

5 units²

Step-by-step explanation:

Area of the triangle = ½ × base × height

base = 2

height = 5

Plug in the values into the formula

Area = ½ × 2 × 5

Area = ½ × 10

Area = 5 units²

the population of a town in 1995 was 60,000. the population increased by 25% in 2007.find the population in 2007.​

Answers

Answer:

75,000

Reason: 25 percent of 60,000 is 15,000. Since the population increased 25 percent more of 60,000, we add 15,000 to 60,000. Thus, the answer is 75,000

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