A full 335 ml can of Coca-Cola is filtered at a rate
of 5 ml per minute into an empty can. How long
will it take for the two cans to have the same
amount, a, of Coca-Cola?
Mm


Answers

Answer 1

9514 1404 393

Answer:

  33.5 minutes

Step-by-step explanation:

There are many ways you can look at this problem. One is to write equations for the amount in each can, and solve for the time that makes those amounts equal. Another is to consider how much time it takes to reduce the volume by half.

Using the first method, we have ...

  335 -5t = 5t

  335 = 10t

  335/10 = 33.5 = t

It takes 33.5 minutes for the cans to have the same amount.


Related Questions

Suppose we have universal set U. What does it mean to say that X is a subset of U?

Answers

Answer:

All of the elements of X are elements of U.

Step-by-step explanation:

HELPPPPP ME PLEASEEEE


the product of 9/10 and 8/9 is...
A: between 0 and 1
B: between 1 and 2
C: between 2 and 3
D: greater than 3

Answers

Between 0 and 1 I think because you have to find common denominators
It would be B: between 1 and 2 because the answer to that is 1.8 (rounded) so it is more than one but less than 2.

Draw a scaled copy of the circle
using a scale factor of 2.

How does the circumference of the scaled copy compare to the circumference of the original circle?
How does the area of the scaled copy compare to the area of the original circle?

Answers

Answer:

the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps

Step-by-step explanation:

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the radius of the circle = r

The circumference of the circle = 2πr

The area of a circle = πr²

Now,

Scale factor = Original circle / Scaled circle

Now,

Scale factor = 2

2 = Circumference of the Original circle / Circumference of the Scaled circle

Circumference of the Scaled circle = (1/2) Circumference of the Original circle

Again,

Scale factor = 2

2 = Area of the Original circle / Area of the Scaled circle

Area of the scaled circle = (1/2) Area of the original circle

Thus,

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

Evaluate the limit, if it exists. PLEASE SHOW WORK
lim x 5 x^2-3x-10\2x-10

Answers

Answer:

-350

Step-by-step explanation:

5×2-3×-10/2×-10

=10-3×-50

=7×-50

=-350

In a class 3/4 of the boys like math, 1/2 like science, 1/4 of those who like science do not like math. How many boys like neither math nor science?
A. 1/4
B. 1/6
C. 1/2
D. 1/8​

Answers

Brainiest Answer:
D.1/8

The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?


I. If m > n the absolute value of the function approaches positive infinity as x gets very large.


II. If m < n the value of the function approaches zero as x gets very large.


III. If m = n the value of the function approaches a constant as x gets very large.

Answers

Answer:

g

Step-by-step explanation:

x goes to f m to 5 :-)

There are 65 people coming to your party and each person will need one cup. How many packages of cups should you buy if one package contains 3 cups?


ANWSER:





STEP BY STEP EXAMPLE:​

Answers

Answer: 22

Step-by-step explanation: 65 divided by 3 is 22

Answer:

21or22

Step-by-step explanation:

65/3

What is 3/5 converted into a percent.

Answers

Answer:

60%

Step-by-step explanation:

multiply 3/5 by 20

Answer:

60%

since 100/100 is 100%, we just have to find a number that will make the denominator 5 equal to 100. That is 20 so we multiply 20 for both 3 and 5. This equals to 60/100, which is 60%

By what percent is 16 greater than 12.

Answers

Answer:

28 i assume.

Answer:

The answer is 28% :))

Please help me out !!!

Answers

Answer:

If the segments AU and UT are equal then AT equals 66, if the segments are not equal then AT equals 6x+24. Depends on what you are learning. Use what you need!

Step-by-step explanation:

4x+5 = 2x+19

2x=14

x=7

4(7)+5+2(7)+19 = 42+24 = 66

Solve the following for y: 9x − 3y = 18 (5 points) y = −3x − 6 y = 3x − 6 y = −3x + 6 y = 3x + 6

Answers

Answer:

Y = 3x - 6

Step-by-step explanation:

- 3y = -9x + 18

divide by -3

y = 3x - 6

What is the GCF of the expression -x2y22 - xy2z?​

Answers

Answer:

i dont onderstand Thais

A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?

Answers

im guessing 800 50X4 = 200 and 200X4 = 800

i never learned this but i hope its correct.

Of the factors of 12 shown, which also have a sum of 7?

A: 12,1

B: 2,6

C: 3,4

Answers

The answer is C because 3 and 4 add together to equal 7

Explain how to solve the equation.

B - 7 = 12 ​

Answers

Get the B by itself

So take the -7 and add it to the 12 on the other side

So now we have B = 12 + 7

So now B = 19

And now if we replace B

19-7=12

B=19

Answer:

So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number

Step-by-step explanation:

Have a great day

in her last computer game, Lucy scored 3×10⁷ points. The first time she tried the game, she scored 6×10³ points. How many times as many points is Lucy's last score as her first score?​

Answers

Answer:

u have to drop 18 pionts .

Step-by-step explanation:

Answer:

u have to drop 18 pionts .

Step-by-step explanation:

PLZ HELP ME WITH THIS!!! I WOULD MARK YOU BRAINLIEST!!!

Answers

the answer will be 2.5 hope that helps you

Answer:

2.5 or in other terms 2 1/2

Step-by-step explanation:

yall the answer is 0.17 hope this help

Answers

Answer:

I just saw a girl post the nastiest nu!des EVER

simplify x^2 + ax - 2a^2÷
3a^2 - 2ax - x^2?

Answers

Answer:

[tex] - \frac{x + 2a}{3a + x} [/tex]

Step-by-step explanation:

[tex] \frac{ {x + ax - 2 {a}}^{2} }{3a {}^{2} - 2ax - {x}^{2} } [/tex]

i) write ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2 {a}^{2} }{3 {a}^{2} - 2ax - x {}^{2} } [/tex]

ii) write -2ax as a difference

[tex] \frac{ {x}^{2} + 2ax - ax - 2a {}^{2} }{3a {}^{2} + ax - 3ax - x {}^{2} } [/tex]

iii) factor out x from the expression

[tex] \frac{x(x + 2a) - ax - 2 {a}^{2} }{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

iv) factor out -a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{3 {a}^{2} + ax - 3ax - {x}^{2} } [/tex]

v) factor out a from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - 3ax - {x}^{2} } [/tex]

vi) factor out -x from the expression

[tex] \frac{x(x + 2a) - a(x + 2a)}{a(3a + x) - x(3a + x)} [/tex]

vii) factor out x+2a from the expression

[tex] \frac{(x + 2a)(x - a)}{a(3a + x) - x(3a + x)} [/tex]

viii) factor out 3a+x from the expression

[tex] \frac{(x + 2a)(x - a)}{(3a + x)(a - x)} [/tex]

ix) factor out the negative sign from the expression and rearrange the term

[tex] \frac{(x + 2a)( - ( - a - x))}{(3a + x)(a - x)} [/tex]

x) reduce the fraction a-x

[tex] \frac{(x + 2a)( - 1)}{(3a + x)} [/tex]

[tex] - \frac{x + 2a}{3a + x} [/tex]

Help please!!!

Triangle ABC is similar to triangle PQR, as shown below​

Answers

Answer:

b:q

Step-by-step explanation:

im pretty sure its that. ive learned this before.

if you flipped them so that c and r were facing the same direction, then b and q would be too.

Lacey is buying a new car. She can get a station wagon, a truck, a hatchback, or a convertible. The outside paint comes in yellow or green. The seats can be covered with white leather or gray fabric. Given these choices, how many different combinations does Lacey have to choose from?

Answers

Step-by-step explanation:

4 different vehicles,

2 different paints,

2 different seats.

Total number of combinations = 4 * 2 * 2 = 16.

12 points!! PLEASE

y =(x-3) - 4

rewrite these in standard and factored form!!

Answers

Standard form:

x - y = 7

Factored form:

y = x - 7

Answer:

y = x - 3 - 4

y = x - 7

(x - 7 = y)

(x = y + 7)

Step-by-step explanation:

Hope you got it.

a) Solve x² + 4x - 8 = 0 by completing the square​

Answers

Answer:

x = 2 + 2i, x = 2 - 2i

Step-by-step explanation:

[tex] {x}^{2} - 4x + 8 = 0 \\ \\ {x}^{2} - 4x + 4 + 4= 0 \\ \\ {x}^{2} - 4x + {(2)}^{2} = - 4 \\ \\ {(x - 2)}^{2} = - 4 \\ \\ x - 2 = \pm \sqrt{ - 4} \\ \\ x - 2 = 2i \\ \\ x = 2 \pm 2i \\ \\ x = 2 + 2i, \: \: \: x = 2 - 2i[/tex]

If point C lies between two points A and B such that AC=BC, then

Answers

Answer:

If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.

Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent

Answers

Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.

Answers

Answer:

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

Step-by-step explanation:

Given that:

A country population at any given time (t) is:

[tex]\dfrac{dP}{dt}= kP+I[/tex]

where;

P = population at any time t

k = positive constant

I = constant rate of immigration into the country.

Using the method of separation of the variable;

[tex]\dfrac{dP}{kP+1}= dt[/tex]

Taking integration on both sides:

[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]

[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]

[tex]log (kP + I) =k t+kc_1[/tex]

By applying the exponential on both sides;

[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]

[tex]KP+I = e^{kt} *e^{kc_1}[/tex]

Assume [tex]e^{kc_1 }= C[/tex]

Then:

[tex]kP + I = Ce^{kt}[/tex]

[tex]kP = Ce^{kt}-I[/tex]

[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]

When time t = 0, The Total population of the country is also [tex]P_o[/tex]

[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]

[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]

[tex]P_o = \dfrac{C-I}{k}[/tex]

C - I = kP₀

C =  kP₀ + I

Substituting the value of C back into equation(1), we have:

[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]

[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]

[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]

please help with this question (d+2)(-7)

Answers

Answer:

-7d-14

Step-by-step explanation:

First, let's distribute -7 to (d+2)

-7xd

-7x2

We will get -7d-14

The answer is -7d - 14!

Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo

Answers

Answer:talk some English dude

Step-by-step explanation:

6 ×3(2+9)..can you give the answer of it please ​

Answers

Answer:

Hope this may helps you

Step-by-step explanation:

6×3(11)

6×33

198

Answer:

198

Step-by-step explanation:

6 ×3(2+9)

= 6×3×11

= 6×33

= 198

Which of these graphs represents a function?
A)
A
B)
B
C)
С
D)
D

Answers

Do the vertical line test and draw a straight line.

Solution: C represents a function
B represents a function
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