Three co-workers recorded the amount of water in a fish tank being replaced at regular intervals.


maggie measured 1/2 gallon of water in 2/3 of an hour.

christine measured 3/4 gallon of water in 6/5 of an hour.

gianna measured 2/3 gallons of water in 4/5 of an hour.


What two statements are true?

A. Giannas fish tank replaced the most water per hour.

B. Christies fish tank replaced the most water per hour.

C. Christies fish tank replaced the least water per hour.

D. All three fish tank replaced more than one gallon of water per hour.

E. Two of the fish tanks almost replaced the same amount of water per hour.

Answers

Answer 1

Answer:

A. Giannas fish tank replaced the most water per hour.

C. Christies fish tank replaced the least water per hour.

Step-by-step explanation:

Let define the replacement rate ([tex]r[/tex]), measured in gallons per hour, by the ratio of capacity ([tex]c[/tex]), measured in gallons, to replacing time ([tex]t[/tex]), measured in hours. That is:

[tex]r = \frac{c}{t}[/tex] (1)

The co-worker with the highest rate replaces the most water in a hour. Let see the rate of each co-worker:

Maggie ([tex]c = \frac{1}{2}\,gal[/tex], [tex]t = \frac{2}{3}\,h[/tex])

[tex]r = \frac{\frac{1}{2}\,gal }{\frac{2}{3}\,h }[/tex]

[tex]r = \frac{3}{4}\,\frac{gal}{h}[/tex]

[tex]r = 0.75\,\frac{gal}{h}[/tex]

Christine ([tex]c = \frac{3}{4}\,gal[/tex], [tex]t = \frac{6}{5}\,h[/tex])

[tex]r = \frac{\frac{3}{4}\,gal }{\frac{6}{5}\,h }[/tex]

[tex]r = \frac{15}{24}\,\frac{gal}{h}[/tex]

[tex]r = \frac{5}{8}\,\frac{gal}{h}[/tex]

[tex]r = 0.625\,\frac{gal}{h}[/tex]

Gianna ([tex]c = \frac{2}{3}\,gal[/tex], [tex]t = \frac{4}{5}\,h[/tex])

[tex]r = \frac{\frac{2}{3}\,gal }{\frac{4}{5}\,h }[/tex]

[tex]r = \frac{10}{12}\,\frac{gal}{h}[/tex]

[tex]r = \frac{5}{6}\,\frac{gal}{h}[/tex]

[tex]r = 0.833\,\frac{gal}{h}[/tex]

From these informations, we conclude that Gianna's fish tank replaced the most water per hour and Christine replaced the least water per hour. All three fish tanks replace less than one gallon of water per hour. Therefore, correct answers are A and C.


Related Questions

The width of a rectangle is shown below:

A coordinate plane with a point A at negative 4, 4 and C at negative 4, negative 3.

If the area of the rectangle to be drawn is 42 square units, where should points B and D be located if they lie to the right of points A and C?

Answers

Answer:

D

Step-by-step explanation:

(2, 4) and D(2, −3)

The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?

Answers

Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.

What is the value of x?

Answers

Answer:

4

simplied=2

Step-by-step explanation:

10²=8²+x²

10²=8²-x²

20=16-x²

x²=4

Simplied=2

Pete dad usually deposits $25 into his bank account every week.for the next weeks he wants to deposit more than the usually $25 and he wants the extra amount deposited to be the same each week.Which inequality and solution show how much more he can deposit each week and keep the total of his deposit above $500 for those 8 weeks? Yo

Answers

Answer:

The answer is "8(25+x)>500;x>37.50".

Step-by-step explanation:

Please find the complete question in the attached file.

 [tex]\to 8(25+x)>500\\\\\to 200 +8x>500\\\\\to 8x> 300\\\\\to x> \frac{300}{8}\\\\\to x> 37.50[/tex]

That's why above given choice is correct.

Help please ASAP giving brainly and giving 64 points please

Answers

the answer is three i think

x = 3 because the only equation to get five would be 3. 2 plus 3 is 5. 3 plus 2 is also five. So three is the answer.

tile model

X  1 1 1 = 1 1 1 1 1

X = 3

Answer:

for the first one x = 4

for the second one x = -8

Step-by-step explanation:

x − 7 + 7= −3 + 7 so x = 4

x + 3 − 3= −5 − 3 so x = -8

Type using number words. (Remember to use a hyphen in your answer where needed.)
355

Answers

Three hundred- fifty- five

Reason; number words refer to the alphabetical form of numbers.

HELPPPPPPPPPPPPPPPPPPpppp

Answers

Answer:

Step-by-step explanation:

Part A:

Add all the mass together so 1,105.5 grams

Find the domain and range of the relation.
please please help me

Answers

Answer:

The domain of the relation is [tex]D = [-2,\infty)[/tex]

The range of the relation is [tex]R = (-\infty, \infty)[/tex]

Step-by-step explanation:

Domain and range:

Domain is considered to be the input values, in a graph, the values of x.

Range is considered to be the output values, in a graph, the values of y.

In this graph:

x starts at -2 and goes to infty. So the domain is: [tex]D = [-2,\infty)[/tex]

As for y, the arrows indicates it goes to infinity. So [tex]R = (-\infty, \infty)[/tex]

The two trapezoids below are similar. What is the length of EF

Answers

The two trips episodes below are similar what is the length to EF2 +2 is 4-1 that’s three quick maths

Answer:

answer is 6

Step-by-step explanation:

i know answer is 2 weeks late

A lie detector test is accurate 70% of the time, meaning that for 30% of the times a suspect is telling the truth, the test will conclude that the suspect is lying, and for 30% of the times a suspect is lying, the test will conclude that he or she is telling the truth. A police detective arrested a suspect who is one of only four possible perpetrators of a jewel theft. If the test result is positive (i.e., concludes that the subject is guilty), what is the probability that the arrested suspect is actually guilty

Answers

Answer:

0.475

Step-by-step explanation:

Given that :

We are to calculate the true positive :

True POSITIVE (TP) = 70% = 0.7

False POSITIVE (CP = 30% = 0.3

True Negative = 30% = 0.3

Number arrested = 4

(1/n * TP) / [(1/n * TP) + (n-1 /n * FP)

= (1/4 * 0.7) / [(1/4 * 0.7) + (3/4 * 0.3)

= 0.175 / (0.175 + 0.225)

= 0.175 / 0.4

= 0.475

3
Simplify the expression below:
20 – 10y – 7y + 9

Answers

Answer:

y = 1.705882353

Step-by-step explanation:Combine like terms: 20 + 9 = 29

29 + -10y + -7y = 0

Combine like terms: -10y + -7y = -17y

29 + -17y = 0

Solving

29 + -17y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-29' to each side of the equation.

29 + -29 + -17y = 0 + -29

Combine like terms: 29 + -29 = 0

0 + -17y = 0 + -29

-17y = 0 + -29

Combine like terms: 0 + -29 = -29

-17y = -29

Divide each side by '-17'.

y = 1.705882353

Simplifying

y = 1.705882353

In order in simplified form is -17y + 29

Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.

Answers

Answer:

10w-3t+5

Step-by-step explanation:

The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

Let's say the number of words written is w and the number of tiles is t.

As per the given,

Players earn 10 points so 10w will be points through words.

3 points taken away thus -3t.

One word contains 6 letters thus +5 points.

Total score = 10w - 3t + 5.

Hence "The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ5

 

which number is composite? (9,5,11,2)​

Answers

Answer: 9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3 x 3 = 9 :)

Olive weights are classified according to a unique set of adjectives implying great size. For example, the mean weight of olives classified as "Colossal" is 7.7 grams. Suppose a particular company’s crop of "Colossal" olives is approximately Normally distributed with a mean of 7.7 grams and a standard deviation of 0.2 grams. Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

a. 0.0970
b. 0.9953
c. 0.0668
d. 0.0047
e. 0.1932

Answers

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

How to find the z score for a sample taken from a normal distribution holding random variate?

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Using the data given to find the intended probability

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Learn more about standard normal distribution here:

https://brainly.com/question/14989264

Find the values of x and y

Answers

Answer:

2x-10=x+80

2x-x=80+10

X=90

3y-4=y+20

3y-y=20+4

2y=24

Y=24/2

Y=12

Im not sure man, but i hope it helps, good luck :)

Korl spent $46.20 on 12 gallons. what was the price per gallon?​

Answers

Answer:

3.85

Step-by-step explanation:

46.20/12

12 goes into 46.20

3.85

Ca anyone answer this??

Answers

Answer:*

*Can

Step-by-step explanation:

find the value of x in the equation below.

x+1=6

Answers

X+1=6
Move the constant to the right hand side and change its sing
X=6-1
You subtract the number
X=5
And that’s your solution

Find all complex solutions of 7x^2-7x+3=0

Answers

Answer:

The complex solutions are

[tex]x = (\frac{7-\sqrt{35} i }{42} , ) x = \frac{7 + \sqrt{35} i }{42})[/tex]

Step-by-step explanation:

Step(i):-

Given equation  7 x² - 7 x +3=0

                     [tex]x = (\frac{-b -\sqrt{b^{2}-4ac } }{2ac} , \frac{-b +\sqrt{b^{2}-4ac } }{2ac})[/tex]

Given standard equation

                         a x² +b x +c =0

 a = 7 , b= -7 and c=3

Step(ii):-

[tex]x = (\frac{-(-7) -\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)} , \frac{-(-7) +\sqrt{(-7)^{2}-4(7)(3) } }{2(7)(3)})[/tex]

[tex]x = (\frac{7-\sqrt{(49-84 } }{42} , \frac{7 +\sqrt{(49-84 } }{42})[/tex]

[tex]x = (\frac{7-\sqrt{35i^{2} } }{42} , \frac{7 + \sqrt{35i^{2} } }{42})[/tex]

[tex]x = (\frac{7-\sqrt{35} i }{42} , \frac{7 + \sqrt{35} i }{42})[/tex]

Last year, nine employees of an electronics company retired. Their ages at retirement are listed below.


56 65 62 53 68 58 65 52 56


Find the median retirement age. Round your answer to one more decimal place than is present in the original data values.

Answers

Answer:

58.0

Step-by-step explanation:

Given the data:

56 65 62 53 68 58 65 52 56

Reorderd data: 52, 53, 56, 56, 58, 62, 65, 65, 68

Median = 1/2(n + 1) th term

n = sample size = 9

Hence,

Median = 1/2(9 + 1)th term

Median = 1/2(10)th term

Median = 5th term

5th term in the reordered data = 58

Hence, median age is 58

Skylar invested $8,900 in an account paying an interest rate of 2.6% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 11 years?

Answers

Answer:

11847

Step-by-step explanation:

8900e ^0.026(11)

8900e^0.286

11846.7228518

answer 11847

Answer: 11749

Step-by-step explanation:

A=Pe

rt

=

5500

=

0.069

=

11

P=5500r=0.069t=11

Given values

=

5500

0.069

(

11

)

A=5500e

0.069(11)

Plug in

=

5500

0.759

A=5500e

0.759

Multiply

=

11748.7645718

A=11748.7645718

Use calculator (with e button)

11749

A≈11749

Round to nearest dollar

f(n) = (2n – 2) + 2; 52 ( PLEASE ANSWER QUCIKLY WILL GIVE BRAINLIEST AND THANKS PLEASEEEEE!!!!!!) FIND THE POSITION FOR THE GIVEN TERM

Answers

Answer:

[tex]n =26[/tex]

Step-by-step explanation:

Given

[tex]f(n) = (2n - 2) + 2[/tex]

Required

Find n when [tex]f(n) = 52[/tex]

Substitute 52 for f(n) in [tex]f(n) = (2n - 2) + 2[/tex]

[tex]52 = (2n - 2) + 2[/tex]

Remove bracket

[tex]52 = 2n - 2 + 2[/tex]

[tex]52 = 2n[/tex]

Make n the subject

[tex]n = \frac{52}{2}[/tex]

[tex]n =26[/tex]

The position is 26

During an experiment, Aika measured the time it took for a ball to roll down a ramp set at an angle. She measured that it took 1.010 seconds. The exact time it should take based on calculations is 0.904 seconds. What was her experimental error?

Answers

Answer:

11.725%

Step-by-step explanation:

Given that :

True value = 0.904 seconds

Measured time = 1.010 seconds

Experimental error :

(|measured value - True value | / true value) * 100%

(|1.010 - 0.904| ÷ 0.904) * 100%

= 0.106 / 0.904 * 100%

= 0.1172566 * 100%

= 11.725%

Answer:

11.725%

Step-by-step explanation:

15.3+1h=1.3−1h solve for h plese solve the whole thing not just the answer

Answers

Answer:

0.1 (153+10h)

Step-by-step explanation:

factor out 0.1 of 15.3 +10h

Answer:

15.3+1h=1.3−1h

15.3-1.3=-1h-1h

14=-2h

h=14/-2=-7

Quadrilateral ABCD was translated 4 units to the left and 2 units down to create Quadrilateral A'B'C'D', Which rule describes this transformation?
(xy) -> (x + 4. y + 2)
(x,y) -> (x - 4. y - 2)
(x,y) -> (x - 4y + 2)
(x,y) --> (x - 2. y + 4)

Answers

Answer:

(x,y) -> (x - 4. y - 2)

A pharmacist has 600 milliliters of a solution that is ​30% active ingredient. How much pure water should she add to the solution to get a solution that is 15​% active​ ingredient?

Answers

Answer:

600 ml of pure water.

Step-by-step explanation:

To determine how much pure water the pharmacist should add to a 600ml solution with 30% active ingredient, so that this solution becomes 15%, the following calculation must be performed:

600 x 0.3 = 180

15 = 180

100 = X

100 x 180/15 = X

18,000 / 15 = X

1,200 = X

1,200 - 600 = 600

Thus, 600 ml of pure water should be added to achieve a 15% solution.

Let p: A number is greater than 25.
Let q: A number is less than 35.
If p1 is true, then what could the number be? Select two options.
24
28
32
36
40

Answers

It could be 28 if I’m not mistaken

Answer:

28 and 32 or B And C

Step-by-step explanation:

I need a answer Plss sombody help me

Answers

Answer:

add 4 and 2

because you always have to simplify numbers that are inside the parentheses.

1. In each of the following expressions, c represents the original cost of an item.
10.900
TL 0.10c
C -0.10c
a. Circle the expression(s) that represents 10% of the original cost. If more than one is
correct explain why the expressions you chose are equivalent.
represents ® D
b. Put a box around the expression(s) that represent the final item after a 10% decrease.
If more than one is correct explain why the expressions you chose are equivalent.
2. An item that was selling for $72.00 is reduced to $60.00. Find the percent decrease in
price. Round your answer to the nearest tenth.
3. A baseball team had 80 players shows up for tryouts last year and this year 96 players
show up for tryouts. Find the percent increase in players from last year to this year.
4. The price of a bag of bagels rose from $2.80 in January to $3.50 in April. What was the
percent increase of the price of a bag of bagels?
A 20%
B. 25%
C. 70%
D. 80%
5. Joe's weekly pay increased from $80 to $100. What is the percent increase in pay?
A 40%
B. 25%
C. 20%
D. 80%
Plzzzzz help

Answers

I think it’s C I’m not sure I seen a question like this before

A builder is using the scale drawing below to build a house. If the owner decides to increase the living room dimensions by 25%,what is the new length and width of the living room floor? (1cm=5 feet)

Answers

Answer:

Step-by-step explanation:

Building scale is 1cm=5feet

This means 1 cm is equivalent to 5 feet

If 1 cm is equals to 5 feet and the owner wants a 25% increase in dimension, this means;

25/100 =0.25.

0.25 x the actual dimension

0.25 x 5 = 1.25

1.25 + actual dimension

1.25 + 5 = 6.25.

This means the scale of the room will be on 1cm =6.25feet.

If the length of the room is A, the width is B;

The new length will then be 1.25 x A =1.25A

1.25A + A

The length of the new room is 1.25A +A

While the width of the new room is 1.25B +B

Other Questions
the supreme court helps settle conflicts between the various levels of government Which word best describes a conflict that takes place within a literary characterA. FictionalB. InternalC. ClimaticD. Dramatic What makes a country an enemy in the world we live in today? HELP ME PLEASE!!!!!!!! 5 1/4 divided by 5/8 someone please help! true or false? Both speed and acceleration include thedirection of an object's motion. 6z + 9 - 7 = 4z + 12 Which property of multiplication is shown?6 x 5 = 5 x 6 2. What was Napoleon Bonaparte's title when he was first elected as leader of the French republic? ndias caste system is based on all of the following factors except __________.A. the region a person comes fromB. the sports or games a person playsC. the ethnic group a person is a part ofD. the family heritage a person holdsPlease select the best answer from the choices provided A B C D Can someone please help me? Energy can be transferred from one place to another through? Which value of k makes 5 k + 12 = 16 a true statement?Choose 1 answer: Make 7 questions about the Declaration of Independence and answer them. In Cuba, the blending of Catholicism and West African spiritual beliefs, is called Santeria? True or false Red October Company has 2,000 shares of 6%, $100 par cumulative preferred stock outstanding at December 31, 2016. No dividends have been paid on this stock for 2016 or 2017. Dividends in arrears at December 31, 2017 total:______.a. $1,200. b. $12,000. c. $0. d. $24,000. Which is true about atmospheric convection currents? classify H.V Sheldon body type solve and show ur work -2x + 6y = 6 y = 2x + 11