Enter an equation in standard form to model the linear situation. A bathtub that holds 41 gallons of water contains 11 gallons of water. You begin filling it, and after 5 minutes, the tub is full.

Answers

Answer 1

Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.


Related Questions

2x^3+128 factor polynomials

Answers

2(x-4)(x^2+4x+16)……..

Answer:

2(x−4)(x^2+4x+16)

Step-by-step explanation:

2(x^3-4^3)

b=4

2(x-4) (x^2+x*4+4^2)

= 2(x-4) (x^2 +4x+ 16

Hope this helps :)

The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.

Answers

This can solved using the cosine law which is:

c² = a² + b² - 2ab cos θ

Using the values given from the problem

6² = b² + b² - 2bb cos 112.62

And solving for b

36 = 2b² - 2b² cos 112.62

b = 3.6

The answer is the 3rd option.

Answer:

b = 3.6

Step-by-step explanation:

Simplify: answer in the box

Answers

Answer:

I got 24x^2  over x^2+7x+10

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Can someone help me write my statistics paper?

Answers

Answer:

Sure what do you need?

Step-by-step explanation:

It takes 46 pounds of seed to completely plant a 5 acre field how many pounds of seeds are needed per acre

Answers

Answer:

I think 9 if im not correct i sincerely apologize

La barbería El Caleño, tiene en promedio 120 clientes a la semana a
un costo actual de $6000 por corte de cabello. Se sabe que por cada incremento
de $700 en el precio, la peluquería pierde 10 clientes. ¿Cuál es el precio máximo
que puede cobrarse de modo que los ingresos semanales no sean menores que los
actuales?

Answers

Queremos maximizar el precio de tal forma que los ingresos no disminuyan.

Ese maximo precio es: $14,040.6

Sabemos que actualmente el precio es:

p = $6,000

El número de clientes es:

C = 120

Actualmente los ingresos son el producto de esos dos números, es decir:

ingresos = $6,000*120 = $720,000

Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.

Entonces podemos escribir el número de clientes como una ecuación lineal.

C(p) = a*p + b

tal que tenemos dos puntos en esa linea:

($6,000, 120)

($6,700, 110)

La pendiente es:

[tex]a = \frac{110 - 120}{\$6,700 - \$6,000} = \frac{-10}{\$ 700}[/tex]

Entonces tenemos:

C(p) = (-10/$700)*p + b

Sabemos que:

C($6,000) = 120 = (-10/$700)*$6,000 + b

                     120 = -85.71 + b

                     120 + 85.71 = b =

Entonces la ecuación lineal es:

C(p) = (-10/$700)*p + 205.71

Los ingresos serán dados por:

ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p

Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:

(-10/$700)*p^2 + 205.71*p = $720,000

Entonces debemos resolver la ecuación cuadratica:

(-10/$700)*p^2 + 205.71*p - $720,000 = 0.

Las soluciones son dadas por la formula de Bhaskara.

[tex]p = \frac{-205.71 \pm \sqrt{(205.71)^2 - 4*(-10/\$ 700)*\$ 720,000} }{2*(-10/\$ 700)} \\\\p = \frac{-205.71 \pm 195.45}{(-20/\$ 700)}[/tex]

La solución de maximo valor es:

p = (-205.71 - 195.45)/(-20/$700) = $14,040.6

Sí quieres aprender más, puedes leer.

https://brainly.com/question/8926135

A bank pays simple interest at the rate of 5% per annum on all deposits. Interest is credited to the account quarterly on March 31st, June 30th , September 30th and December 31st, based on the minimum quarterly balance for that period. If a person opens an account with a deposit of $ 40,000 on January 1st. They then make a withdrawal of $ 3,000 on 10th June. If there were no further transactions (deposits or withdrawals), how much interest will be credited to the account on December 31st. ​

Answers

Balance Jan 1 = $40000
Interest Mar 31 = 40000 x 5% = $2000
Balance Mar 31 = 40000 + 2000 = $42000
Withdraw Jun 10 = $3000
New balance = $39000
Interest Jun 30 = 39000 x 5% = $1950
Balance Jun 30 = 39000 + 1950 = $40950
Interest Sep 30 = 40950 x 5% = $2047.50
Balance Sep 30 = 40950 + 2047.50 = $42997.50
Interest Dec 31 = 42997.50 x 5% = $2149.88 rounding up to nearest cent

ANSWER LAST QUESTION PLZZZ

Answers

Step-by-step explanation:

what ask you ask you not ask any question please write your question please mark me brainlist

Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi

Answers

Answer: Taylor is 14 and Jessi is 13

Step-by-step explanation:

Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.

표에 제시된 상품의 품목 및 2015 년도의 수량이 소비자물가지수를 계산하는 기준이
된다면 2015 년도의 소비자 물가지수를 100 이라고 할 때 2020 년도의 소비자물가지수는
얼마인가?

Answers

Answer:

wat? HWHAHWhhwhwhwhwwhwhw

Fill in the blanks please!!

Answers

Answer:

6,I can't help with the second one I wasn't good with that parallel lines

Step-by-step explanation:

Y2-Y1. So 3-9. 6

--------- - - -- = - - =6

X2-X1. 1-2. 1

if a=2,b=1 and c=1 than evalute ab+bc​

Answers

Answer:

3

Step-by-step explanation:

2x1+1x1

Answer:3

Step-by-step explanation:

(2)(1)+(1)(1)

2+1

=3

Sowy about all my questions b-b-but please help with another one?

Answers

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

Johnathan bought 1 3/4 pounds of
American cheese at the deli. He
used 5/6 of the cheese to make
sandwiches. How many
sandwiches can he make? Show
your work

Answers

hope this helps
refer to the picture^^

salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month

Answers

Step-by-step explanation:

z-score of X = 6150

[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]

z-score of X = 6350

[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

please help me with this sum​

Answers

theres a thing called a calculator

Answer:

you didn't have calculate for this question


What is the Domain and range of y = 2 x - 11 + 2

Answers

Step-by-step explanation:

the domain is the set or range of valid values for x.

the range is the set or range of valid values for y (= f(x)).

if you did not miss anything in your problem statement, then I see a function

y = 2x - 11 + 2

no restrictions are defined.

so, domain and range are both the interval

(-infinity, +infinity).

notice the round brackets, as "infinity" is never a value and cannot be included in an interval.

now, if you missed a division sign and the function looks like

y = 2/x - 11 + 2

then we know, x must never be 0, as a division by 0 is undefined.

so, the domain in that case would be

-infinity < x < 0, 0 < x < +infinity

or short

x <> 0

the range would still be every possible value in

(-infinity, +infinity).

Find the missing values in the ratio tables.

Answers

Answer:

tatlong Lugar na posibleng paglaruan ng luksong tinik

100 POINTS FOR THE CORRECT ANSWER
(03.03 MC)

A marine biologist is studying the growth of a particular species of fish. She writes the following equation to show the length of the fish, f(m), in cm, after m months:

f(m) = 3(1.09)m

Part A: When the marine biologist concluded her study, the length of the fish was approximately 5.98 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(m) represent? (2 points)

Part C: What is the average rate of change of the function f(m) from m = 2 to m = 8, and what does it represent? (4 points)

Answers

Answer:

I hope this helped. Look throught the pictures

Step-by-step explanation:

Answer:

Part A: 0<x<9

Part B: The y-intercept 3 represents how big the fish was when she first started her study.

Part C: The average rate of change from m=2 to m=8 is 2.09, and it represents the growth of the species of fish.

I don't know about Part C, but I hope this helps!

The cost to mail a letter is a base charge of $0.42 plus $0.17 for each ounce. Write an expression to represent the cost for mailing a letter that is w ounces. Then find the cost for mailing a letter that is four ounces.

0.17 + 0.42w; $1.85
0.42 + 0.17w; $1.10
0.17 + 0.42w; $2.36
0.42 + 0.17w; $2.36

Answers

the total cost of mailing a letter is expressed by : 0.42 + (0.17w)
the cost of mailing a four ounces letter is $1.10
step by step explanation:
first, you have a fixed cost, independent of any other variable, which is: 0.42.
then you have a cost that is independent on the weight. expressed the ounces, which is: 0.17 per ounce. that means if you have 2 ounces then your cost would be duplicated, becoming 0.34 and so on forth, let’s define the weight as w.
the total cost of mailing a letter equals the base charge or the fixed cost. plus the cost of the number of ounces that our letter weighs.
we can express this statement in a mathematics terms:
0.42 + ( 0.17 * w) = COST

now, we want to know how much it would cost us to mail a letter that weighs 4 ounces. that means we know the value of the “w” in our expression, so we can substitute it and solve the expression:
0.42 + (0.17 * 4 ) = COST
0.42 + 0.68 = COST
1.1 = COST

it would cost us $1.10 to send a 4 ounces letter :)

Using distributive property, factor out the GCF and rewrite 54 + 90​

Answers

Answer:

144

Step-by-step explanation:

54+90=144

144-90=54

90+54=144

144-54=90

PLEASE HELP - VERY EASY MATH AND EASY 18 POINTS.....

Suppose you have a choice to receive $100 per day or 1 cent on day one, 2 cents on day two, 4 cents to day 3 on so on...

a) In how many days will both options end up paying about the same amount in total?

Answers

Answer: JK ITS IMPOSSIBLE BOIIII yeah it is the pennies even with the 1 penny at the beginin dun work ive tried smashing calculator about this many times 2147483649 and it doesnt work out so yeah f

Answer: It's not possible

Step-by-step explanation:

Janice Went to five different stores in the mall, she spent an average of $30 at each store. After visiting just the first four stores she had spent $100, how much was she have spent at the last store based on her overall average?

A.$25
B.$30
C.$50
D.$70

Answers

Based on Janice average, she spent $50 at the last store.

Let a, b, c, d, e represent the money spent on the five stores respectively.

Since she spent an average of $30 at each store, hence:

(a + b + c + d + e) / 5 = 30

(a + b + c + d + e) = 150

She spent $100 on the first four stores, hence:

a + b + c + d = 100

(a + b + c + d + e) = 150

100 + e = 150

e = 50

Hence based on Janice average, she spent $50 at the last store.

Find out more at: brainly.com

Why is 4 called a constant?

Answers

Answer:

because 4 is a fixed value. and it is not a variable.

PLEASE HELP :(
Which order do these go in?
Will mark BRAINLEST

Answers

Answer:

1 - 5

2 - 3

3 - 8

4 - 1

5 - 2

6 - 7

7 - 4

8 - 6

Step-by-step explanation:

Correct answer gets brainiest

Answers

Answer:

[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]

Please show steps please

Answers

Answer:

x - 2, remainder -4

or

x - 2 + (-4)/(x + 6)

Step-by-step explanation:

                           x - 2

                      --------------------------------

           x + 6   |  x^2 + 4x - 16

                 -       x^2 + 6x

                -----------------------

                                -2x - 16

                         -      -2x - 12

                        ------------------

                                          -4

Answer:

x - 2, remainder -4

or

x - 2 - 4/(x + 6)

Answer:

x - 2

Step-by-step explanation:

I uploaded a photo!

1.(154)10=(?)2
helpme! to solve it plz.​

Answers

Answer:

I think its (10000110)2

There are tulips, daisies, and daffodils growing in a garden. There are 2 times as
many daisies as tulips and 3 times as many daffodils as tulips. If there are 12
daisies, how many total flowers are in the garden?

Answers

54 flowers in the garden.

if there is 2 times as many daisies as tulips it would be 6 tulips

3 x daffodils as tulips which would be 3 x 12 = 36

so 36+6= 42

42 + 12 = 54

what percent of the bottle of orange juice is water?

___% water

Answers

88 % water

Orange juice that is 100 % orange juice is usally 88 % water

Answer:

88 percent is water and the rest is apple juice

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