Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is

positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of

water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same

amount of water as the small tank. Which statement describes the flow rate?

The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.

O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.

The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.

The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Save and Exit

Answers

Answer 1

Answer:

D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Step-by-step explanation:

Flow rate = [tex]\frac{gallons of water}{minute}[/tex]

flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]

                         = 60 gallons/minute

flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]

                          = 40 gallons/minute

The difference in flow rate between the tanks = 60 - 40

                          = 20 gallons/minute

Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.

Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.

Answer 2

Answer:

B

Step-by-step explanation:

took the quiz


Related Questions

Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50
cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as
many as Luis had given away.
If they both now have the same number of baseball cards, how many baseball cards did Roberto
give away?

Answers

Answer:

X=15

Step-by-step explanation:

50−x=80−3x

Step 1: Simplify both sides of the equation.

50−x=80−3x

50+−x=80+−3x

−x+50=−3x+80

Step 2: Add 3x to both sides.

−x+50+3x=−3x+80+3x

2x+50=80

Step 3: Subtract 50 from both sides.

2x+50−50=80−50

2x=30

Step 4: Divide both sides by 2.

2x \2 = 30 \2

Answer:

x=15

HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!

Answers

move point (-5,0) to (-4.0) and move point (7,1) to (8,1) so that the points pass the vertical line test. note that this points can be moved to others places too, these are just a few examples

How do you describe a quadratic equation?​

Answers

Answer:

an equation of the second degree, meaning it contains at least one term that is squared.

Step-by-step explanation:

A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

If 1 foot 12 inches, which expression can be used to find the
number of inches in 6 feet?
Ao
1 foot
12 inches
x 6 feet
B
12 inches
1 foot
x 6 feet
c
0
12 inches
1 foot
o feel
ofeet
1 foot
12 inches
Х
6 feet
А
B
c
С
D
We

Answers

Using proportions, it is found that the expression that can be used to find the number of inches in 6 feet is given by:

6 feet = 6 x 12 inches = 72 inches.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the rule of three is given as follows:

1 foot - 12 inches.

6 feet - x inches.

Applying cross multiplication:

6 feet = 6 x 12 inches = 72 inches.

More can be learned about proportions at https://brainly.com/question/24372153

Can someone please help, ty!! (Will mark brainliest)

Answers

[tex]\large\underline{\bf\red{Solution:-}}[/tex]

Given two points are :-

( -1 , 3)( 0 , -5)

So , we know Two point form into equⁿ using a formula , which is

[tex]\boxed{\purple{\bf{\dag y - y_1 = \dfrac{y_2-y_1}{x_2-x_1}(x-x_1)}}}[/tex]

So, on substituting respective values ,

=> y - 3 = (-5-3)/0-(-1) × ( x - 3)

=> y - 3 = -8/1 ( x - 3)

=> y - 3 = -8x +24

=> 8x + y -27 = 0

Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot?

A
1

B
2

C
3

D
4

Answers

Answer is C, which is 3
The answer to this is 3 which choice c because all i did was ask myself what times the given numbers get me to 6,9, and twelve

f(x) =x^6-3x+9
g(x)=3x^3+2x^2-4x-9
Find (f-g)(x)

Answers

Step-by-step explanation:

(f-g)(x)=

[tex]x ^{2} - 3x + 9 - (3 {x}^{3} + 2 {x}^{2} - 4x - 9) = \\ x ^{2} - 3x + 9 - 3 {x}^{3} - 2 {x}^{2} + 4x + 9 = \\ - 3 {x}^{3} - x ^{2} + x + 18[/tex]

Please answer this correctly without making mistakes

Answers

Answer:

This is what internet says. Maybe this helps.

Which explains how you round 212.809 to the nearest hundredth?
A.


Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.


Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.


Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.


Since the digit in the thousandths place is greater than or equal to 5, keep th

Answers

Answer:

c

Step-by-step explanation:

Write a positive or negative number for each situation.
a. you win $150 in a contest
b. a loss of 15 yards in a football game
c. 75 feet below sea level
d. 35 degrees above 0 degrees F
e, a debt of $24.75

Answers

a) +150; b) -15; c) -75; d) +35; e) -24.75

22/50 of a number is what percentage of that number ​

Answers

Answer:

44percent

Step-by-step explanation:

in order to find the percent you just divide the numerator by the denomincator, hope this helps!

Put the numbers in order from smallest to largest.

1 .
9.15
fourth
2 .
9.376
second
3 .
9.51
third
4 .
9.3
what would it be

Answers

Answer:

Step-by-step explanation:

1/4

1/3

1/2

1

2

3

4

9.15

9.3

9.376

9.51

variation does not depend on that of another.
#6 THE SOLUTION FOR F(X) = 3X + 2 WHEN F(X) IS 2 IS

Answers

Answer:

0

*see below incase you worded it wrong

Step-by-step explanation:

then we substitute 2 for f(x)

2 = 3x + 2

0 = 3x

x = 0

UNLESS you mean f(2) is what then that is:

f(2) = 3(2) + 2 = 8

hope that helps!

Graphing combined functions! (25 points)

Answers

Step-by-step explanation:

toke a while to finish it, but there you go

cheers and have a good night :D

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many
kilometers did run in all?

Answers

Answer:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Step-by-step explanation:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Answer:

9.68 kilometers

Step-by-step explanation:

fun quashen answer this you will get 20 pointes it must be corret a clue it not B , D have fun be fast​​

Answers

Answer:

A. no, the sale price is about 60% of $65 or $39. Because $38 is less than $39, you do not have enough money.

Step-by-step explanation:

Given parameters:

   Discount on sales  = 40%

    Amount with me = $38

    Original sales price = $65.99

Unknown:

Will you have enough money to buy the item = ?

Solution:

To solve this problem, let us find the discount amount on the selling price;

      = [tex]\frac{40}{100}[/tex]   x  65.99

      = $26.39

So, the price of the item now = Original sales price - discount amount

                                                 = $65.99 - $26.39

                                                 = $39.6

$39.6 can also be derived from 60% of $65.99

This amount is more than amount at hand.

HELP PLEASE!!! 50 PTS
Which polynomial can be factored using the binomial theorem?

64x3 + 48x2 + 36x + 27
64x3 + 96x2 + 72x + 27
256x4 – 192x3 + 144x2 – 108x + 81
256x4 – 768x3 + 864x2 – 432x + 81

Answers

Answer:

x2 + 40x + 400

256x4 – 256x3 + 96x2 – 16x + 1

256x4 – 192x3 + 144x2 – 108x + 81

Step-by-step explanation:

Hope this helps.

Have a good night ma´am/sir.

Be safe!

Answer:

C

Step-by-step explanation:

Ed2021

What is the slope of the line that passes through the points (-10,8)and (-15,-7)

Answers

Answer:

m = 3

Step-by-step explanation:

Use the slope formula to find the slope  m .

M=3 is the slope to find the m

what is infinity -91924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124v91924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124v91924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124v919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124919241482384901249192414823849012491924148238490124

Answers

Answer:

a number greater than any assignable quantity or countable number (symbol ∞).

Step-by-step explanation:

What is the other solution to the equation?
A: x=-6
B: x=-4
C: x=2
D: x=4​

Answers

Answer:

to what

Step-by-step explanation:

i can't see the question

I believe it’s B which is x=-4

How can you do a story from this equation:3+(4x12)

Answers

Answer:

A car dealership has a special on rentals. They charge a one time fee of $3 and then $4 per day for the rental. If John gets a rental from this dealership, how much will his total be after 12 days?

Step-by-step explanation:

Hope this helps!

Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses

Answers

Answer:

( 1.5, 0)

Step-by-step explanation:

1. Find the coordinates ; in this case (7,-2) and (-4, 2)

2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)

3. ( 7 +  -4 ÷2) = 1.5    And    ( -2 + 2 ÷ 2) = 0

4. Therefore, the midpoint is ( 1.5, 0 )

                                         

Solve for b.
p=9(b-5)

Answers

Answer:

Step-by-step explanation:

p=9(b-5)

p=9b-45

p-9b=-45

-9b=-45-p

b=5+(p/9)

does anyone need to talk/rant about something because im here for you

Answers

Answer: sure

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

ok so I just got an email from my school saying that you need to do half the semester in ONE WEEK and I'm like, why you didn't need to do this. And also my parents are expecting me to do it ALL IN 2 DAYS AND GET AN A honestly I am very sad I am actually doing an assignment right now lol.

Mr. Waxman is helping with deliveries for a shipping company. The graph shows a linear model for his delivery times on different days.

(A) Identify two points on the line and write the coordinate pairs below.

(B) Use your two points to find the slope, and make sure to show your work.

(C) Use your slope from Part B and find the equation of the line in point-slope form. Show your work and work through the steps to transform the equation from point-slope form into slope-intercept form.

(D) Based on the equation you found in Part C, predict how long it take Mr. Waxman to deliver his packages on Day 0. Approximately how much did his delivery time decrease per day?

Answers

Answer: a- (7,7) (4,19) b- m=-12/3=-4/1=-4 c- y=4x+35 d- 48min, it increases by 12min a day

Step-by-step explanation:

i did the assignment

Mr. Waxman's delivery is an illustration of a linear function.

(a) Two points on the graph

The points are: (4,19) and (6,11)

(b) The slope of the graph

The slope (m) is calculated as:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{11 - 19}{6- 4}}[/tex]

[tex]\mathbf{m = \frac{-8}{2}}[/tex]

[tex]\mathbf{m = -4}[/tex]

The slope of the graph is -4

(c) The equation of the graph

In point-slope form, we have:

[tex]\mathbf{y -y_1 = m(x - x_1)}[/tex]

So, we have:

[tex]\mathbf{y -4 = -4(x -19)}[/tex]

In slope intercept form, we have:

[tex]\mathbf{y = -4(x -19) + 4}[/tex]

Open brackets

[tex]\mathbf{y = -4x +76 + 4}[/tex]

[tex]\mathbf{y = -4x +80}[/tex]

The equation of the graph is: [tex]\mathbf{y = -4x +80}[/tex]

(d) The value of the function at day 0

This means that x = 0

So, we have:

[tex]\mathbf{y = -4(0) +80}[/tex]

[tex]\mathbf{y = 0 +80}[/tex]

[tex]\mathbf{y = 80}[/tex]

Hence, it will take 80 minutes to deliver the package on day 0

Read more about linear functions at:

https://brainly.com/question/20286983

Another way to write -7/8

Answers

Answer:

In decimal form:

-0.875

Step-by-step explanation:

-7 divided by 8 = -0.875

-0.875 is another way

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume

Answers

Complete Question

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability

Answer:

a

The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10

b

[tex]P(X = 6) =   0.158 [/tex]

Step-by-step explanation:

From the question we are told that

 The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]

   The sample size is  n = 10

The possible value x can take is  0, 1 ,2,3,4,5,6,7,8,9,10

Generally the probability that exactly 6  households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as

      [tex]P(X = 6) =  ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]

Here C denotes combination

So

        [tex]P(X = 6) =  ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]

=>    [tex]P(X = 6) =   0.158 [/tex]

Determine if the transformation of figure a to figure b is a dilation

Answers

it is a dilation but it's a growth as well, it dilated but shifted as well

Veronica is making emergency- preparedness kits to share with friends. She has 20 bottles of water and 12 cans of food, which she would like to distribute equally among to kits, with nothing left over. What is the greatest number of kits Veronica can make ?

Answers

Answer:

she could only make 4

Step-by-step explanation:

Which refers to the standards used to make a judgment or decision when designing a product?

prototypes
criteria
designs
investigations​

Answers

Answer:

criteria

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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