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Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1351 liters of water. Water is being added to the first pool at a rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 35.75 liters per minute.

After how many minutes will the two pools have the same amount of water?


How much water will be in each pool when they have the same amount?

Answers

Answer 1

After how many minutes will the two pools have the same amount of water? 36 min.

How much water will be in each pool when they have the same amount? 2638 liters.

Explanation:

y=1900+20.5x

y=1351+35.75x

Answer 2

Let the time be t

[tex]\\ \sf\longmapsto 1900(1+\dfrac{20.5}{100})^t=1351(1+\dfrac{35.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(\dfrac{120.5}{100})^t=1351(\dfrac{135.75}{100})^t[/tex]

[tex]\\ \sf\longmapsto 1900(1.2)^t=1351(1.35)^t[/tex]

[tex]\\ \sf\longmapsto \dfrac{1900}{1351}=\left(\dfrac{1.35}{1.2}\right)^t[/tex]

[tex]\\ \sf\longmapsto 1.4=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto (1.125)^2.9=(1.125)^t[/tex]

[tex]\\ \sf\longmapsto t=2.9h[/tex]


Related Questions

Simplify this problem?

Answers

Answer:

-22

Step-by-step explanation:

mark this brainliest and rate 5 stars if it helped :)

the answer is -22
pls like it!

Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.

Answers

Answer:

the answer is  9x

Step-by-step explanation:

y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that,

Elizabeth recently bought a new bike, and she has started biking to and from work.

The round-trip distance is 9 kilometers.

We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

y=9x

Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.

To learn more on Equation:

https://brainly.com/question/10413253

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Find the solution set of the inequality

14−3x<−1.

If right will mark Brainlyest!

Answers

Answer:

x > 5

Step-by-step explanation:

14 -14 - 3 x < -1 -14

-3 x < -15

-3 x / -3 < -15 / -3

x > 5

Coach Eddie ordered baseball gloves 30% of them were left handed. If 24 gloves were left handed, how many total gloves are there

Answers

Answer:

sorry I don't understand

Solve:
8t + 2 = 8 (4) + 2 = ? + 2


What is the (?) / Question mark?

Answers

Answer:

? = 32

Step-by-step explanation:

Because 8 times 4=32 plus 2 = 34 and therefore t=4 8 times 4 again plus 2 = 34 so 32 plus 2 =34

Plz give brainliest

Can someone please help me

Answers

Answer:

Q14. Percentage decrease in price of TV

   = (1100-1034)r1100×100%

   = 66r1100×100%

   = 6%

Q15. 450r9000 × 100% = 5% discount

Answer:

Q14 - 6% decrease

Q15 - 5% decrease

Step-by-step explanation:

how to get your answers;

subtract starting value with final value

divide the sum with the starting value

multiply by 100 and round if needed

hope that helps. ♥️

Whic
a sqy
While making pecan pie, Monica was
reading about pecan trees. The average
width of a pecan tree trunk is 18 decimeters.
How many centimeters is this? (1 decimeter
10 centimeters)
-
(
Fraction Fun Friday
fun aith fr

Answers

Answer: 180 cm

Step-by-step explanation: 1 decimeter = 10 centimeter

18 dm = 10 * 18 cm

18 dm = 180 cm

Would appreciate brainly <3

PLEASE HURRY WILL GIVE BRANLESIT
Function 1 is represented by the equation y = 6x + 25

Function 2 is represented by the table.

x y
5 31
10 41
15 51
20 61


Which statement about the two functions is true?
The rate of change for Function 2 is 5 times the rate of change for Function 1.

The rate of change for Function 2 is three times the rate of change for Function 1.

The rate of change for Function 2 is one third the rate of change for Function 1.

The rate of change for Function 2 is the same as the rate of change for Function 1.

Answers

Answer:

The rate of change for Function 2 is one third the rate of change for Function 1.

Please mark brainliest if possible :)

How do u do this math problem

Answers

Answer:

is there a question asked or no?

HELP ME
NO BOTS
BRAINLIST TO FIRST CoRrEcT ANSWER

Answers

Answer:

The answer is A.

Step-by-step explanation:

5 - 1 = 4

10 - 6 = 4

15 - 11 = 4

20 - 16 = 4

25 - 21 = 4

Answer:

The correct answer should be B

Step-by-step explanation:

B is also number 5


A high school track team's long jump record is 22 ft 6 3/4in. This year, Arthur's best long jump is 21 ft 10 1/2in. If long jumps are measured to the nearest quarter inch, how much farther must
Arthur jump to break the record?
To beat the school long jump record,

Arthur must jump an additional ___inches.

(Type a whole number, fraction, or mixed number.)

Answers

Arthur must jump an additional 8.25 inches so as to break the record.

1 foot =  12 inches

Long jump record = 22 ft 6 3/4in = 22 ft 6.75 in = (22ft * 12 in per ft) + 6.75 in

Long jump record = 270.75 in

Arthur's long jump record = 21 ft 10 1/2in = 21 ft 10.5 in = (21ft * 12 in per ft) + 10.5 in

Arthur's long jump record = 262.5 ft.

To break the record, the distance needed to be jump by Arthur = 270.75 in - 262.5 ft. = 8.25 in

Arthur must jump an additional 8.25 inches so as to break the record.

Find out more at: https://brainly.com/question/20796404

A furniture company charges ANSWER FAST ITS DUE RN
0.45 per pound
for shipping

Write an equation for the cost(y) of shipping
x pounds.

Use it to determine the cost of shipping a
12-pound chair.

Answers

Answer:

y = 0.45 × x

y = 0.45 × 12

y = 5.4

Step-by-step explanation:

The chair costs $5 and 40 cents

Multiply or divide. write fractions in simplest form.

0.15 x (-0.6)

please help with this problem. i will mark you brainliest !

Answers

Step-by-step explanation:

Multiply

0.15

by

0.6

.

0.09

Simplified
0.15x(-0.6)=-0.09

In what time will $1000 amount to $1331 at 10% per annum, compounded annually?​

Answers

The time is 3 years


Step by step explanation:
Answer:

3 Years

Step-by-step explanation:

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

solve the following stystem -4x + 2y = 0 and x + y = -1

Answers

The (x, y) values are (-1/3, -2/3) respectively

5x + 3y = 4; solve for x.

Answers

Answer:

x= - 3/5y +4/5

Step-by-step explanation:

isolate x:

5x+ 3y= 4

5x= -3y+ 4

x= -3/5y +4/5

a
How many seconds are in a day? Use the conversion equivalency 24 hours = 1 day, 60 minutes = 1 hour, 60 seconds
= 1 minute
8640 seconds in one day
b. 1440 seconds in one day
1200 seconds in one day
d. 86,400 seconds in one day
C
Please select the best answer from the choices provided
Ο Α
B
OD

Answers

Answer:

D)86400 seconds

Step-by-step explanation:

In 1 hour there are 60 minutes and in 1 minute there are 60 seconds.

Brainliest?

D)86,400 seconds in a day

A school has 147 third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that 60 students like (at least) mint chip, 103 like chocolate, 50 like strawberry, 30 like mint chip and strawberry, 40 like mint chip and chocolate, 25 like chocolate and strawberry, and 18 like all three flavors. How many students don't like any of the flavors available

Answers

Add all of the students who like the ice creams and subtract from 147 :)

A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?

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4.5 pounds I believe

can someone write −4 and (6, 4) in standard form. -4 is the slope. I need it as one answer.

Answers

Answer:

y = -4x + 28

Step-by-step explanation:

yeah-ya........ right?

Step-by-step explanation:

what is the standard form for your teacher ?

because that is absolutely not agreed on worldwide (and even between teacher and teacher in the same region).

there are 2 main forms :

the general slope intercept form is

y = ax + b

a is the slope. and is here -4.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the half finished equation :

4 = -4×6 + b = -24 + b

28 = b

so, the equation is

y = -4x + 28

the general slope point form is

y - y1 = a(x - x1)

where a (often called m) is again the slope, and x1, y1 are the coordinates of a given point.

so, we have

y - 4 = -4(x - 6)

y’all please help me

Answers

I think it is 2 but I really don’t know

9÷108 please tell me

Answers

Answer:

108 ÷ 9 = 12

Step-by-step explanation:

Answer:

0.083333333333333

Step-by-step explanation:

9th grade math pls help
g(x)=2f(1/2x)

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    g*(x)-(2*f*(1/2*x))=0

The answer is:
f=g
g=f
x=0/-f+g.

Tell me if you want step by step!

Hope this helped! :)

(I just solved for the variables I don’t know if you want be me to solve for something else.)

A sum of money was shared between Joan and Ngozi in the ratio 5:3. If Joan share was 40.00naira how much was the original sum of money

Answers

Answer:

64

Step-by-step explanation:

J : N

5 : 3

40 : x

40×3=120

120÷5=24

24+40=64

to confirm if it's correct:

5:3

5+3=8

(5/8)×64=24

(3/8)×64=40

therefore, it's 64

Pls help brainlist pls help

Answers

Answer:

The slope of the function represents how much the function rises per amount that it moves horizontally.

Step-by-step explanation:

See attached question

Answers

Answer:

Its 34 times 87

Step-by-step explanation:

34 times 87 is 2958

Are the following two logical statements equivalent? p ∨ q q ∨ p

Answers

Answer:

Are the following two logical statements equivalent?

p

q

q

p

June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information​

Answers

Answer:

x/2=53.7

Step-by-step explanation:

x/2=53.7

x=107.4

Janice bought 4 oranges for $3.40. what is the unit price.

Answers

You have to divide 3.40/4 and the unit price
will be 0.85
3.40 divided by 4
.85 per unit


Check answer
.85 unit x 4 = 3.40

g(x) = 2x
f(x) = -2x + 2x
Find g(x) + f(x)

Answers

Step-by-step explanation:

f(x) = 0

-2x + 2x is always 0.

so, g(x) + f(x) = g(x) + 0 = g(x) = 2x.

long proof :

g(x) + f(x) = 2x + -2x + 2x = 2x

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