• Water tank A has 220 gallons of water and is being drained at a constant rate of 5 gallons per minute.
• Water tank B has 180 gallons of water and is being drained at a constant rate of 3 gallons per minute.
Part
How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water?

Answers

Answer 1

Answer:  In 20 minutes, tanks A and B will each have 120 gallons remaining in them.

Step-by-step explanation:

The equation, the amount at which they will be equal, represents the given starting amounts minus the gal/min times the unknown time in minutes, m.

220 - 5m = 180 - 3m Subtract 180 from both sides; add 5m to both sides.

220-180 -5m +5m = 180-180 +5m - 3m  Combine like terms

40 = 2m  Divide both sides by 2

20 = m

Check: Substitute 20 for m in the equation

220 - 5(20) = 180 - 3(20)

220 - 100 = 180 -60

120 = 120   True!


Related Questions

What is the constant of proportionality?


y = 11x

Please I need help I have to turn this in today!

Answers

9514 1404 393

Answer:

  11

Step-by-step explanation:

The constant of proportionality is the coefficient of x in the equation.

It is 11.

which statement about these triangles is true?

Answers

Answer:

I think it's D

Step-by-step explanation:

Answer:

i think it's a or d

but d is more have percent

HELP I WILL GIVE BRAINLIEST PLEASE HELP

Answers

square is 5.25
circle is 8.5

Find the centroid of AABC if
A = (1, 1), B = (4, 5), and C = (4, 6).
([?], [ ]
pls help lol

Answers

9514 1404 393

Answer:

  (3, 4)

Step-by-step explanation:

Put the numbers in the formula and do the arithmetic.

  Q = (A + B + C)/3

  Q = ((1, 1) +(4, 5) +(4, 6))/3 = (1+4+4, 1+5+6)/3 = (9, 12)/3

  Q = (3, 4)

The centroid is (3, 4).

(03.05 HC)
In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. Steward scored 5 points in the first round. He then went on to score additional points in the second, third, and fourth rounds. In each of those rounds, his score was identical. Which inequality best shows the number of points, p, that Steward scored in each of the second, third, and fourth rounds if he earned a place in the finals? (1 point)

a
5 + 3p ≥ 30

b
5 + 3p ≤ 30

c
5p + 3 ≥ 30

d
5p + 3 ≤ 30

Answers

Given:

Score in first round = 5 points

Score in second, third and fourth rounds was identical.

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round.

To find:

The inequality for the given problem.

Solution:

Let p be the number of points, p, that Steward scored in each of the second, third, and fourth rounds.

Score in first 4 rounds = Score of 1st round + Score of 2nd round + Score of  1s 3rd round + Score of 4th round

Score in first 4 rounds [tex]=5 + p + p + p[/tex]

                                     [tex]=5 +3p[/tex]

A participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. It means the total score in first 4 rounds must be greater than or equal to 30.

[tex]5+3p\geq 30[/tex]

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

another way to write (6+7)x

Answers

Answer:

13x

Step-by-step explanation:

you just have to add the six and the seven together and then add the x

Answer:

what that person said

Step-by-step explanation:

y+7x+4(2x-6)+3y PLEASE ANSWER ASAP with work I would love if it was written in paper if not that's ok

Answers

I combined the like terms

Which of the following is the graph of y= -√ x + 1?

Answers

Answer:

check

Step-by-step explanation:

y intercept = (0,1)

x intercept = (1,0)

Answer:

Answer below hopes it helps

Step-by-step explanation:

Samantha lost 15 pounds in 6 weeks.

Answers

Alrighty then . . . . . . .
How? Because that’s amazing

What is the measure of the missing angle?

Answers

Answer:

42 or 48

Step-by-step explanation:

It's a acute angle so it's that one or that one.

Answer:

42 degrees

Step-by-step explanation:

180-132 = 48

90 + 48 = 138

180 - 138 = 42

1.
El año pasado, un orador motivacional llamado Rhiannon dio 20 charlas en el extranjero. Este año, dio
13 charlas en el extranjero. ¿Cuál es el porcentaje de disminución de las charlas en el extranjero del
año pasado a este año?
A. 75%
B. 40%
C. 35%

Answers

75% of the chakras en el extranjero

Can someone teach me this ASAP?

Answers

Yes so You already have your slope what you need is your Y intercept

Fill the blanks in please and thanks

Answers

Answer:

Angles are the same, So:

C = G = 125

H = D = 75

A = E = 360 - ( 90+75+125) = 70

To know the ratio between the lengths. Divide 6 by 9 so you get 2/3

So every side of small polygon equals 2/3 times side of big polygon. ( THE PARALLEL ONES )

So:

FG = 7* 2/3 = 14/3

GH = 11 * 2/3 = 22/3

EH = 12 * 2/3 = 8

1b) What is Laura's average speed in mph if she travels 126 miles in 2 hours?

Answers

Answer:

63MPH

Step-by-step explanation:

Answer:

126miles divide by 2hrs = 63mph

f(x) = x2 + 6x + 4
What is the increasing and decreasing

Answers

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Answer:

decreasing: (-∞, -3)increasing: (-3, ∞)

Step-by-step explanation:

The leading coefficient is positive, so you know the parabola opens upward.

The ratio -b/(2a) is -6/(2·1) = -3, so you know the axis of symmetry is x = -3. The function will be decreasing from negative infinity to the vertex at x = -3, and will be increasing from there to positive infinity. At the vertex (x=-3), the function is neither increasing nor decreasing.

decreasing: (-∞, -3)increasing: (-3, ∞)

_____

Additional comment

For ax^2 +bx +c, the axis of symmetry is x=-b/(2a). The vertex (turning point) is on the axis of symmetry.

What is the simplified form of this expression?

(5x2 + 2x + 11) − (7 + 4x − 2x2)

Answers

Answer:

7x² - 2x + 4

Step-by-step explanation:

(5x² + 2x + 11) - (7 + 4x - 2x²) = 5x² + 2x + 11 - 7 - 4x + 2x² =

(5x² + 2x²) + (2x - 4x) + (11 - 7) = 7x² - 2x + 4

I need help with this

Answers

Answer:ooop

Step-by-step explanation:

Shshjaasksk

Answer:

3 to the 5th power would be 243.

Complete the statement by filling in the blanks. The null hypothesis H0 is the statement of _________ and always has a ______ sign. The alternative hypothesis Ha is the __________ hypothesis. It is a statement about the value of a __________ that we intend to test. Group of answer choices

Answers

Answer:

No change ; = ; research ; parameter

Step-by-step explanation:

The Null hypothesis in a statistical test is always the initial truth which always means that a research scenario or statement is as it is or that there is no change whatsoever. The null hypothesis is usually denoted as H0 ; because it is always the initial truth or accepted claim, it usually takes a equal to sign, this denotes that, there is no change in parameter, either the population mean or any other statistical measure we wish to test. The alternative hypothesis on the other hand always negated the null hypothesis, because it brings up a claim which is to check or peruse the Null hypothesis, hence, it is a research hypothesis, denoted as Ha: ;

The alternative hypothesis contains the statement about the population parameter we wish to test( parameter is a measured value about the population).

Find the Area of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place




Please help see the picture

Answers

Step-by-step explanation:

Area of Figure

= Area of Parallelogram + Area of Semicircle

= (26)(13) + 0.5π(24/2)²

= 338 + 72π

= 564.2.

Answer:

Area of the figure :---

Area of the parallelogram+area of the semicircle

(26×13)+(1/2)π(12)²

=338+72π

=338+226.2

=564.2 square unit

564.2 square unit is the right answer.

use the elimination method to solve the following system of equations
2x+y=7
6x-y=9​

Answers

Answer:

x=2

Step-by-step explanation:

We see that there is already a common variable that can be canceled out -- y. y+(-y)=0! (Alternatively you may also multiply an equation by negative 1 and do subtraction, but in this case it's already done for you)

So now we just do some addition.

2x+6x=8x

y+(-y)=0

7+9=16

This means that 8x=16. Now we solve!

(Divide both sides by 8)

We're left with x=2 :)

explain how to write 2 dividid 5 as a fraction

Answers

Answer:

2/5

Step-by-step explanation:

Two divided by 5 is simply written as 2/5.

Hope I helped!

2/5 is how it’s written as a fraction, 2 is over 5, 2 goes inside and 5 outside when you write the division expression

Isaiah has h baseball cards. Michael gas 7 more baseball cards than Isaiah. Write an expression for the number baseball cards that Michael has in terms of h

Answers

Answer:

h + 7

because if Michael has 7 more than you just add 7 to Isiahs unknown

y=3x+5
y=4x+8
Find X

Answers

Answer:

The value of x is -3.

Step-by-step explanation:

It is given that:

y=3x+5       Eqn 1

y=4x+8       Eqn 2

Putting value of y from Eqn 2 in Eqn 1

4x + 8 = 3x + 5

4x - 3x = 5 - 8

x = -3

Therefore,

The value of x is -3.

[ +
−2

2−3+2

+−2

2+4−5
] ÷ [

2+3

2+3−10]

Answers

Answer:

I'm not sure if this is a real problem and I don't think it is but the answer is 6.5

Step-by-step explanation:

first you have to add -2 and 2, then plus 3 and 2 and subtract 2 from it and then and 2+4 and subtract -5 and divide 2 and add 3 and add the answer to al of that to 2 + 3 and subtract - 10 and you get your answer of 6.5

match the graph to the equation

Answers

The first equation matches the last graph.

The second equation matches the first graph.

The last equation matches the second graph.

(I can’t upload the other two graphs but let me know if you want me to put the process, step by step)

If a 20-foot tree casts a 40-foot shadow, how tall is a tree that casts a 48-foot shadow?

Answers

the tree that casts a 48 foot shadow is 24 feet

find the area and perimeter of a 30-gon with a radius of 1

Answers

Answer:

Here :D

Step-by-step explanation:

look at one of the 30 central triangles.

Each will be isosceles with a vertex angle of 12°

base^2 = 1^2 + 1^2 - 2(1)(1)cos12°

= 2 - 2cos12°

so the perimeter is 30(2 - 2cos12°)

= 60 - 60cos12°

use your calculator if you need a decimal answer.

Find the perimeter of the polygon.

Answers

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Answer:

  30 in

Step-by-step explanation:

The enclosing rectangle is 4 by 10, so has a perimeter of ...

  P = 2(L+W) = 2(10+4) = 28

The notch adds 2 inches to the perimeter, so the total of all side lengths is ...

  28 +2 = 30 . . . inches

the premiter of the polygon is 30 inches

Olivia needs 545454 licks for every 333 lollipops she eats.

Answers

Answer:

54 lick per 3 lollipops is a unit rate of 18 licks per lollipop.

36 is 2 times 18, so it needs 2 times as many licks as 18 lollipops.

36 2

I assume the last line is 5 lollipops.

If 1 lollipop takes 18 licks, then 5 lollipops take 5 * 18 licks.

5 * 18 = 90

90 5

Answer: i think 2 because 90 divided by 5 is 18 and 54 divided by 3 is 18 so

Step-by-step explanation:

I need help with this ​I will mark u as brainliest

Answers

Answer:

table 2

Step-by-step explanation:

im not fully sure if this is correct

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