A bathtub is draining at a constant rate. After 2 minutes, it holds 35 gallons of water. Four minutes later, it holds 15 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.

Answers

Answer 1

Answer:

Step-by-step explanation:

The slope-intercept formula is:

y = m x + b,

or: y = b - m x, since the rate is negative.

For the 1st formula we have: y = 30 and x = 2

For the 2nd formula: y = 12 and x = 5 ( because: 5 = 2 + 3, or : 3 minutes later, which can be confusing  )

30 = b - 2 m

12 = b - 5 m

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

b = 30 + 2 m

12 = 30 + 2 m - 5 m

3 m = 18

m = 18 : 3 = 6

b = 30 + 2 * 6 = 30 + 12 = 42

Answer:

y = 42 - 6 x


Related Questions

Jacie is serving steak and chicken she wants to have at least 20 pounds of meat. Steak is $8 per pound and chicken is $4 per pound . Jacie wants to spend at most 120 dollarss on meat

Answers

Answer:

She can get 10 pounds of steak and 10 pounds of chicken.

Step-by-step explanation:

As Jacie wants to have at least 20 pounds of meat, you can write the following  equation:

x+y=20, where

x refers to the pounds of steak

y refers to the pounds of chicken

Also, since the statement indicate that the steak is $8 per pound and chicken is $4 per pound and Jacie wants to spend at most 120 dollars on meat, you can write the following equation:

8x+4y=120

So, you have the following equations:

x+y=20 (1)

8x+4y=120 (2)

Now, you can solve for x in (1):

x=20-y (3)

Then, you can replace (3) in (2) and solve for y:

8(20-y)+4y=120

160-8y+4y=120

160-120=8y-4y

40=4y

y=40/4

y=10

Finally, you can relace the value of y in (3) to find x:

x=20-y

x=20-10

x=10

According to this, the answer is that she can get 10 pounds of steak and 10 pounds of chicken.

Kristin drinks 0.5 liter of orange juice with breakfast each day for 15 days how many milliliters of orange juice does Kristin drink during the 15 days?​

Answers

Answer:

Kristin will drink 7500 milliliters during the 15 days.

Step-by-step explanation:

Because 0.5 L is 500 mL, multiply that by the time, or 15 days. This will give you an answer of 7500 milliliters.

Find an expression to represent the area
of the trapezoid below.

Answers

I think it’s A sorry if I am wrong
i’m not sure but i’m just gonna go with A

please help i’ll give brainless

Answers

Answer:

1. 12

2. 31

3. 37

4. 87

which one is the bigger minus 5 by 7 or 2 by 3​

Answers

Answer:

minus 5 by 7

Step-by-step explanation:

5 - 7 = -2

2 - 3 = -1

The smaller the negative integer, the bigger the number.

The first one is bigger

George buys oranges and apples
at a ratio of 2:5 for his party.
If he has 14 oranges how many apples does he have

Answers

Answer:

The answer is 35 apples.

Step-by-step explanation:

ratio: 14:35

It's 14:35 because

14/2=7 and 5 x 7 = 35

So he has 35 apples!!

Hope his helps!! ;)

PLEASE HELP ME WITH MATH!!
The question is: Thirteen plus 5 times a number is no more than 30.”

Answers

Let the number be x.

13 + 5x < 30

5x < 30 - 13

5x < 17

x < 17/5

Step-by-step explanation:

let number be x

equation= 13 + 5x =or<30

if 13+5x=30

5x=17

x=3.4

HELP PLEASE
I WILL GIVE BRAINLIEST

Answers

Answer:

B

I hoped this helped :))

Answer:

your answer is c

Step-by-step explanation:

(6^-4 x 8^-7)^-9 =8.0930867e+84

6^36 x 8^63= 8.0930867e+84

so c is your answer

I don't understand how to do this. please help. ​

Answers

Answer:

use the formula to find area, then multiply by the leingth, so 18 in your case. Also, the formula for area is A=(pi)r squared

Step-by-step explanation:

hope this helps

Answer:

B. 3,052.08

Step-by-step explanation:

Radius:

r=d/2

r=18/2

r=9

Volume of Sphere:

V=(4/3)π[tex]r^{3}[/tex]

V=(4/3)(3.14)[tex]9^{3}[/tex]

V=(4/3)(3.14)729

V=(4/3)2289.06

V=3052.08

If this helped you, pleas consider giving a good rating, a thanks, and brainliest! Thanks!

If 4.5 pounds of cherries cost $10, what is the unit price?

Answers

$2.22 a pound for the cherries

please help me ill mark you brainliest and show your work please

Answers

i cant see what it equals but i’m guessing it is 203(correct me if i’m wrong)

5/8(4x-16)=203
5/8 x 4(x-4)=203
5/2 x (x-4)=203
5/2x-10=203
5x-20=406
5x=406+20
5x=426
x=426/5
x=85 1/5

which is none of the options so you’re gonna have to tell me what it equals to so i can give you the right answer.

Which number line and expression show how to find the distance from 4 to 1?

Answers

Answer:

C

Step-by-step explanation:

WILL MARK BRAINLIEST IF GOTTEN RIGHT IF YOU GET IT WRONG ON PURPOSE I WILL REPORT YOU

Answers

Answer:

B) cos Z = 15/17

Step-by-step explanation:

cos Z = 30/34 = 15/17

Find the circumference and area of a circle to the nearest hundredth. Use 3.14 for pie. Round to the nearest hundredth if necessary. The diameter is 52.

Answers

Answer:

Circumference = 163.28 unitsArea = 2,122.64 units²

Step-by-step explanation:

Circumference

Circumference of a circle is calculated by the formula:

= π * diameter

= 3.14 * 52

= 163.28 units

Area

Area of a circle is calculated by the formula:

= π * radius²

Radius = DIameter / 2

= 52 / 2

= 26 units

Area = 3.14 * 26 * 26

= 2,122.64‬ units²

Los puntajes obtenidos por un grupo de alumnos en un examen de 10 puntos son 3,5,2,6,5,9,5,2,8,6. Para saber el puntaje máximo que obtuvo el 75% de los alumnos se debe calcular el

Answers

Answer:

Para saber el puntaje máximo que obtuvo el 75% de los alumnos se debe calcular el tercer cuartil.

Step-by-step explanation:

Los Cuantiles (cuartiles, deciles, percentiles) son medidas de localización cuya  función es informar del valor de la variable que ocupará la posición (en tanto por  cien) que interese respecto de todo el conjunto de variables.

Los cuartiles son medidas estadísticas de posición que tienen la  propiedad de dividir la serie estadística en cuatro grupos de números iguales de  términos.

El primer cuartil o cuartil inferior es aquel valor de la variable tal que la cuarta parte (25%) de las observaciones son inferiores o iguales a él, y el resto (75%) es superior o igual. El segundo cuartil es la mediana, ya que se trata del valor localizado en la mitad de la distribución. Finalmente, el tercer cuartil o cuartil superior es un valor tal que las tres cuartas partes de las observaciones son inferiores o iguales a él.

En otras palabras, el primer cuartil Q1, es el valor en el cual o por debajo del cual queda aproximadamente un cuarto (25%) de todos los valores de la sucesión (ordenada); El segundo cuartil Q2 es el valor por debajo del cual queda el 50% de los datos (Mediana), el tercer cuartil Q3 es el valor por debajo del cual quedan las tres cuartas partes (75%) de los datos. Es decir, Q1, Q2 y Q3 determinan los valores correspondientes al 25%, al 50% y al 75% de los datos respectivamente. Q2 coincide con la mediana.

Para saber el puntaje máximo que obtuvo el 75% de los alumnos se debe calcular el tercer cuartil.

What is the circumference of the circle? Use 3.14 for Pi.

Answers

Answer: Could we see the circle we need to find the circumference for?

Step-by-step explanation:

Find the equation of the line . Use exact numbers
y=(blank)x+(blank)

Answers

According to the graph the answer is : y = 2.5x + 5
Y=-2x+5
Hope that helps

HELP ILL GIVE BRAINLIEST!!!

Answers

Answer:

[tex]\sqrt{45} = \sqrt{3^{2} *5} = \sqrt{3^{2} } *\sqrt{5} = 3\sqrt{5}[/tex]

[tex]\sqrt{3^{2} }[/tex] that is 9 is a perfect square

Which graph represents the system of equations?
y = 2.2
y=x2 + 1

Answers

It’s the second 1 in the top corner , where the u line is perfect and the slanted line is perfect

A tool box has the dimensions of 10 in by 6 in by 3 in. If Gilberto plans to double one dimension to build a larger tool box, he believes he would double the volume of the tool box. Is he correct? First, find the volume of the original tool box. The original tool box is
in3 . PLZZZZZZZZZZZZ HELP MEH ill mark you and 99 points

Answers

Answer:

Yes, he would double it

The original tool box volume is 180 in³

Doubled, it would be 360 in³

Step-by-step explanation:

Volume of box: L*W*H

10*6*3

60*3

180 in³

At least two of its angles are right angles.

Answers

Is their a picture that you’re referring to ?

If you’re asking how much do you need to make right angles it should be 90 degrees

Answer:

True based on the conveniently provided picture

Step-by-step explanation:

Special Cases
(Y+3)(y-3)

Answers

Answer:

Y^2-9

Step-by-step explanation:

Which graph represents a function?

Answers

Answer:

D

Step-by-step explanation:

A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.

Let's examine each choice.

(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.

(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.

(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.

(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.

Therefore, the answer is D.

Answer:

D

Step-by-step explanation:

give person above brainliest

have a good one!

I need help fast!!!!!!

Answers

Answer:

28 Pi

Step-by-step explanation:

circumference = 24(2)(π) = 48π

arc ABC = 360° - 150° = 210°

210/360(48π) = 28 Pi

solve 15−10= ____ (3−2)

Answers

Answer:

5

Step-by-step explanation:

5=1 x y

y=5

9/4y -12 =1/4y-4 solve for y

Answers

y=4Math papa is an app you can use for that type of questions

Answer:y=4

Step-by-step explanation:

Which is the graph of y =(2/x)+2

Answers

Answer: The correct answer is B.

What is the width of a rectangle that has an area of 10 ft.² and a length of 24 inches give your answer in feet
Please help thank you!!

Answers

Answer:

Width = 5 ft

Step-by-step explanation:

A=wl

10 = wl

24 inches = 2 ft

10 = [tex]w*2[/tex]

[tex]10/2=w*2/2\\5=w[/tex]

When Josh and Sean were each 5 years old, Josh was 1.5 inches taller than Sean. Josh grew at an average rate of 2.75 inches per year from the time that he was 5 years old until the time he was 13 years old. Josh was 63 inches tall when he was 13 years old. How tall was Sean when he was 5 years old?

A. 39.5 inches
B. 42.5 inches
C. 44.75 inches
D. 47.75 inches

Answers

Step-by-step explanation:

josh is 1.5 inches taller than sean

so, let sean's height be x

sean = x

josh = x + 1.5

each year josh gain 2.75 inches, and now he's 13 so how many year has passed

13 y - 5 y = 8

then how tall he grew

2.75×8=22

x + 1.5+22=63

x=63-22-1.5

x=39.5

Is y = 1⁄2(1/4)x growing or decaying

Answers

Answer:

Growth

Step-by-step explanation:

y = 1/8 x

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