Water is flowing from Tower #1 to Tower #2 in the diagram below at a rate of 20 gallons per minute. Initially, Tower #1 contained 1650 gallons and Tower #2 contained 570 gallons. (a) How many gallons does each tower contain after 5 minutes? Show your work. (b) Let m be the number of minutes it takes for the two towers to contain the same number of gallons. Set up and solve an equation for m. PLEASE HELP

Answers

Answer 1

Answer:

Tower 1=1550 gal after 5 min

Tower2=470 gal after 5 minutes

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

After 5 minutes, the amount of water that has flowed is ...

(20 gal/min)(5 min) = 100 gal

That amount has flowed out of Tower #1, so it now has ...

1650 -100 = 1550 . . . gallons in Tower #1

That amount has flowed into Tower #2, so it now has ...

570 +100 = 670 . . . gallons in Tower #2


Related Questions

Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.

Answers

6x-6=60
Add 6 to both sides
6x=60
Divide 6 into 60
X=10

1. Tara already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer
recipes during each week of school. Write an equation that shows the relationship between the number of
weeks and the number of appetizer recipes.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the number of appetizer recipes she will learn
during school
(c) Solve your linear equation to determine the number of recipes that Tara will know after 18 weeks in
school
(d) Explain your answer to Part 1c.
Answer:

Answers

Answer:

(a)  The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

(b) A = 3 × x

(c) 58 recipes

(d) The total number of recipes Tara knows after 18 weeks = The new recipes she learns during the 18 weeks of school + The number of recipes Tara already knew

Step-by-step explanation:

The given parameters are;

The number of appetizer recipes Tara already knew = 4

The number of new appetizer recipe she will learn each week of school = 3

(a) The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

The added constant term = The number of appetizer recipes Tara already knew = 4

(b) The equation for the number of appetizer, A, she will learn during school is give as follows;

The number of new appetizer recipe Tara learns in school = 3 × Number of weeks she is in school +

A = 3 × x

(c) The total number of recipes, y, that Tara will knows after 18 weeks in school is therefore;

y = A(18) + The number of appetizer recipes Tara already knew

A(18) = 3 × 18 = 54

y = 54 + 4 = 58 recipes

(d) The total number of recipes Tara knows after 18 weeks is the sum of the new recipes she learns during the 18 weeks of school and the number of recipes Tara already knew.

David begins the summer with a savings of $54.00 more than Fatima. David’s job
pays $8.25 per hour. Fatima’s job pays $9.75. If they both work the same amount of
time each day, how many hours of work will it take David to have as much money as
Fatima? Write an inequality and then solve.

Answers

Answer:

36 hours (1 1/2 days, 351$ )

Step-by-step explanation:

create a linear system and solve.

8.25x + 54 = 9.75x

_______________

-8.25x -8.25x

_______________

54 = 1.5x

_______________

1.5 x = 54

_______________

÷ 1.5. ÷1.5

_______________

x = 36.

if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation

x = 36 -> 8.25(x) + 54 = 9.75(x)

8.25(36) + 54 = 9.75(36)

297 + 54 = 351

351 = 351

________________________________

David's budget >= 54$

Fatima's budget >= 0$

The required inequality is 8.25x + 54 = 9.75x

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

Collect like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Hence, it will take 36 hours for David to have as much as Fatima.

Learn more : https://brainly.com/question/13218948

Be the first to answer this:)

Answers

Answer:

53 1/3 yards

Step-by-step explanation:

When you solve for area you multiply width times length so here we would divide.

6400 ÷ 120 = 53 1/3 yards

Hope that helps and have a great day!


A sports arena posted ticket prices for five different sporting
events. A service charge is collected for each ticket
purchased. The table shows the ticket price, c, of each of the
different sporting events.
Ticket Price,
$47 $54 $62 $79 $116
Cost Including Service Charge $60 $67 $75 $92 $129
Which expression can be used to find the total cost of each
sporting event ticket including the service charge?

Answers

Answer:13

Step-by-step explanation:

please answer fast
(0,3);slope=-2

Answers

y = -2 + 5


The slope is -2 and the y-intercept is 5.

Answer:

y = -2x + 3

Step-by-step explanation:

plug what you know into y=mx+b3 = -2(0)+b3 = 0 + bb = 3

-2(x - 5) = -14
What does x equal in this equation

Answers

Answer:

Step-by-step explanation:

-2(x-5)=-14

-2x+10=-14

-2x=-14-10

-2x=-24

-x=12

x=-12

x=12, move -5 to the right and change it to a positive ( x=7+5 ) then solve 7+5 which is 12.

Andrea is a personal chef, who charges $110 per four-person meal; her monthly expenses are $2900
How many four-person meals must she sell in order to make a profit of at least $2400?

Answers

22 believe hope this helps

Answer:21.8

Step-by-step explanation:2400 divided by 110 equals 21.8


Write the function f (x) = 22 - 4x - 7 in vertex form.
Show your work.

Answers

Answer:

              [tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]

Vertex:  (1, -9)

−4 + [12 × (−8)] – 62

Answers

Answer:

-162

Step-by-step explanation:

that the answer

Answer:

-162

Step-by-step explanation:

Multiply: −4 + [12 × (−8)] – 62

Remover parentheses: -4 + (-96) – 62

Calculate sum: -4 – 96 – 62

1+1+1+1+1+1+1+1 / 5x10-2+60=?

Answers

Answer:

I think your answer would be 13.5

Step-by-step explanation:

5 x 10 = 50

50 - 2 = 48

48 + 60= 108

108 / 8 = 13.5

Answer:

8/340.

Step-by-step explanation:

First thing to do is add up all of the ones. I know that it = 8, so we now have 8/. Now to figure out what the rest is... oh! I know! It's 5 x 68, which is 340, Meaning we know have 8/340.

what is the rule for the reflection?​

Answers

Answer:

Rules for Reflections

Step-by-step explanation:

hope this helps :)

A local farm has a 0.75 acre field that was planted with 26,100 corn plants. one acre is equivalent to 43,500 square feet.
Assuming the same planting density, how many corn plants could they plant on a field with an area of 80,000 square feet?
The options are:
A. 34,800
B. 48,000
C. 60,000
D. 64,000
E. 100,000
(Please answer this as fast as possible)

Answers

Answer:

D

Step-by-step explanation:

So first what you want to do is find how many acres you're working with. Since you know that one acre is 43,500 square feet, you can find the number of acres you're working with by dividing 80,000 theoretical square feet by your given conversion:

80,000/43,500 is 1.83908045977

After this what you want to do is divide the theoretical acres by the conversion that was given to you in the problem:

1.83908045977/.075 is 2.45210727969

Now that you have this number, you would multiply the number of corn plants that you have in order to get the theoretical number of plants that you could plant on an area of that theoretical size of 80,000 square feet:

2.45210727969  times 26,100 is 64,000 even.

The number of corn plants that could be planted on 80,000 square feet is : 64000.

What is an acre?

An acre is a unit for expressing the area of big  shapes and objects like fields, farm lands.

Analysis:

If 1 acre is equivalent to 43500square feet, then 0.75 acre would be

0.75 x 43500 = 32625 square feet.

If 325625 square feet produce 26,100 corn plants , then 80,000 square feet would produce : [tex]\frac{80000 x 26100}{32625}[/tex]  = 64000 corn plants.

Learn more about area : brainly.com/question/25292087

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The bakery made 110 pumpkin muffins. They will be packed
in boxes with 8 muffins in each box. About how many boxes
will there be?

Answers

Answer:

118

Step-by-step explanation:

you should have learned this in 1st grade

Answer: 14 boxes

Step-by-step explanation:

Divide 110 by 8 and you get 13.75. You will then round up to the nearest hole number to make sure that almost all the boxes have 8 muffins in each.

(15) The ratio of boys to girls at the school is 3:5. If there are 160 students at 1 point the school, how many of them are girls? (Do not include any words in your answer.) Your answer​

Answers

Answer:

100

Step-by-step explanation:

160 * (5/8) = 100

2/5=x/65 solve for x
A: x=1/26
B: x=16
C: x=28
D: x=26
please help me

Answers

Answer:

Solve  :    -x+26 = 0 

 Subtract  26  from both sides of the equation : 

                      -x = -26 

Multiply both sides of the equation by (-1) :  x = 26 

[tex] \frac{2}{5} = \frac{x}{65} [/tex]

[tex]2 \times 65 = 5 \times x[/tex]

[tex]130 = 5x[/tex]

[tex]x = \frac{130}{5} [/tex]

[tex] \color{hotpink}x = 26[/tex]

Therefore , the correct option is :-

[tex]\color{plum}D) \: x = 26[/tex]

bruh someone helpp ffs

Answers

Reflected over the X-axis is a single transformation that got A to B

Answer:

Step-by-step explanation:

B ruh????????

need help asap thanks !!

Answers

Answer:

a-16= -5

Step-by-step explanation:

a-16 = -5

1.) Add 16 on both sides of the equal sign to get a by itself.

-That leaves you with.

a= 11

What Is the value of p? 33°

Answers

Answer:

90 - 33 = 57 57is the answer

Step-by-step explanation:

Answer:

p=57 degrees

Step-by-step explanation:

P and 33 are complementary we know this because of the right angle so set up this equation:

90=angle + angle

sub in the numbers

90=33+P

Substract both sides by 33 to get p alone.

p=57

9)
If l||m and jik,
find the value of y.
(6y + 7)°
1
(5x)
(7x + 24°
m
k
A 7
B) 13
C) 18
D) 65
jump roping
spinning in circles
eating gummy bears
finger painting

Answers

9514 1404 393

Answer:

  C) 18  eating gummy bears

Step-by-step explanation:

The angles indicated with x-expressions are supplementary, so we have ...

  (5x) +(7x+24) = 180

  12x +24 = 180 . . . collect terms

  x +2 = 15 . . . . . . divide by 12

  x = 13 . . . . . . . . . subtract 2

Then the obtuse angle is ...

  7x +24 = 7(13) +24 = 115

__

The angle marked with a y-expression is a corresponding angle to this, so has the same measure.

  6y +7 = 115

  6y = 108 . . . . subtract 7; next divide by 6

  y = 18

Answer:

y=18

Step-by-step explanation:

5x+7x+24=180

12x+24=180

12x=156

x=13



6y+7+65=180

6y+72=180

6y=108

y=

A. artists
B. brushes
C. paintings
D. hours​

Answers

Answer:hours

Step-by-step explanation:

c brushes hope this helps

A number increased by 22% of itself is 488
Model the statement in an equation.

Answers

Answer:

idk,i need the same answer

Step-by-step explanation:

Is this set of ordered pairs a function?
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }

Answers

Answer:

no it is not a function

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

(0,2) and (2,2) have the same y value.

Finding the Area of a Triangle

Answers

Answer: 1, 3, 6

Step-by-step explanation:

Solve for x 5x + 12 = 52

Answers

Answer:

x=8

Step-by-step explanation:

5x + 12 = 52

5x = 52 - 12

5x = 40

x = 8

hey buddy!!

here is your answer!

Answer:

8

Step-by-step explanation:

5x + 12 = 52

5x = 52-12

5x = 40

x = 40/5

x = 8

hope you understood!

graph the equation y = {x-5
5 ?

Answers

X-intercept=55 and y-intercept=-55

PLEASE HELP ME!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER THIS CORRECTLY!

Answers

if they means line segments i’m pretty sure the answers are B,G,J,L,M,N

whats the difference between irrational and rational numbers

Answers

Answer:

difference between irrational and rational numbers:

Rational numbers: They are numbers which can be expressed in the form of p/q and q is not equal to 0

Examples: 3=3/1 ,  0=0/1 , 17=17/1

Irrational Numbers:  They are numbers which cannot be expressed in the form of p/q where q is not equal to 0

Example: Root 2, 1. 1517825278235............... , 45.87812254.............

this is the major difference between irrational and rational numbers.

THERE ARE STILL MORE BUT THIS IS THE BASIC DIFFERENCE.

WHAT MOVIE HAS 7 THEATRICAL REALESES

Answers

Answer:

The meaning theatrical releases means the date a new movie is entered into the theater distribution system for public viewing. Alternate formats of the movie, such as DVDs, Blu-ray discs and video-on-demand, are scheduled for distribution a set number of weeks or months after the theatrical release. See video-on-demand. So if that is what it means then the movie i think that has 7 theatrical releases is the new movie "Mulan" because the people started making the movie on March 9th, 2020 and released the movie on September 4th, 2020. If i am incorrect i apologize

Hope this helps, have a great day and stay safe! :))))))))))))))

find the values of a and b​

Answers

Answer:

Im not sure about a but, b= 38

Step-by-step explanation

b: 90 - 52 = 38

*90 because it is a right angle

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