Lisa's pet shop has 2 fish tanks. Tank A contains smaller fish who are fed 1 gram of food each per day. Tank B contains larger fish who are fed 2 grams of food each per day. If Tank B contains 2/3 the number of fish that Tank A contains, will Lisa ever feed both tanks the same amount of food? How many of each type of fish of fish would she need to have?

Answers

Answer 1

Answer:

in tank A, we need 1 gram of food per fish.

In tank B, we need 2 gramms of food per fish.

If Na is the number of fish in tank A and Nb is the number of fish in tank B.

Then, the amount of food that the tank A needs is:

Na*1g of food

The tank B needs:

Nb*2g of food

And we know that Nb = 2/3*Na

we can replace it and get:

2/3*Na*2g

Then if both tanks need the same amount of food, we should have that both of these equations are equal:

food of tank A = food of tank B

Na*1g = (2/3)*Na*2g

we solve this for Na

Na = (2/3)*Na*2g/1g = (2/3)*Na*2 = (4/3)*Na

Na = (4/3)*Na

This equation has no solution, and from here we can conclude that if Nb = 2/3*Na, she will never give the same amount of food to both tanks.

b) knowing that the amount of food neded in tank A is half the amount for tank B, then we need the doulbe of fish in the tank A than in the tank B

Na = 2*Nb

Answer 2

Lisa cannot feed both tanks the same amount of food under the given conditions. If Tank A has 'a' smaller fish and Tank B has 2/3 of the number of fish in Tank A, then Tank A would require 'a' grams of food while Tank B would require 4/3 'a' grams, which are not the same.

The student is asking whether Lisa can ever feed the same amount of food to both Tank A and Tank B, given that the larger fish in Tank B eat 2 grams of food per day and there are 2/3 the number of fish in Tank B compared to Tank A, which contains smaller fish that eat 1 gram of food per day. To determine if there is a scenario where Lisa can feed both tanks the same amount of food, we will need to set up an algebraic equation.

Step-by-step calculation:

Let the number of smaller fish in Tank A be represented by the variable a.The number of larger fish in Tank B would then be 2/3a as Tank B contains 2/3 the number of fish that Tank A contains.Calculate the total food for Tank A: a fish × 1 gram/fish = grams.Calculate the total food for Tank B: 2/3a fish × 2 grams/fish = 4/3a grams.Set the total food for both tanks equal to each other to find the condition when Lisa feeds the same amount to both tanks: a = 4/3a.Solve for a: This equation has no solution because Tank A cannot contain the same number of grams of food as 4/3 times itself.

Therefore, Lisa can never feed both tanks the same amount of food unless one of the conditions changes, like the amount of food fed to the fish or the ratio of fish between the tanks.


Related Questions

Please Help Me With This Other Assignment!!!!!!!!!
I Don't want to fail!!!!!!!!!!!!!
I will make you brainliest!!!!!!!!!!!!!!!

Answers

1) Painting on a Wall: Painters use ladders to paint on high buildings and often use the help of Pythagoras' theorem to complete their work. The painter needs to determine how tall a ladder needs to be in order to safely place the base away from the wall so it won't tip over. In this case the ladder itself will be the hypotenuse. Take for example a painter who has to paint a wall which is about 3 m high. The painter has to put the base of the ladder 2 m away from the wall to ensure it won't tip. What will be the length of the ladder required by the painter to complete his work?

2) you need to come up with a drawing for it.

3)You can calculate it using Pythagoras' theorem:

(5)2 + (2)2 =

25 + 4 = C2

√100 = C

5.3 m. = C

Thus, the painter will need a ladder about 5 meters high.


hope this helps you

What is 62.5% as a fraction in simplest form

Answers

Answer:

5/8

Step-by-step explanation:

The required simplest form of 62.5%  is 5/8.

Given that 62.5%.

To express a% as a fraction in simplest form, we divide a% by 100 gives,

a% = a/ 100

For example, if a = 75%, gives:

75% = 75/ 100

Simplifying the fraction:

75 / 100

To further simplify, divide both the numerator and denominator by their greatest common divisor (GCD), which is 25:

75 ÷ 25 / 100 ÷ 25

This gives:

3/4

Thus, 75% as a fraction in simplest form is 3/4.

Consider the example of 62.5%.

To express 62.5% as a fraction,  divide 62.5% by 100:

62.5% / 100

Simplifying the fraction:

62.5 / 100

To further simplify, divide both the numerator and denominator by their greatest common divisor (GCD), which is 12.5:

62.5 ÷ 12.5 / 100 ÷ 12.5

This gives:

5/8

Therefore, 62.5% as a fraction in simplest form is 5/8.

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The table shows the cost of renting movies online.

Number of Movies Cost


1                                                                     $3.99

2                                                                      $7.98

3                                                                       $11.97

4                                                                         $15.96

5                                                                          $19.95


What does the rate of change mean in this situation?

A) The cost increases $11.97 for every additional movie rented .

B) The cost increases $7.98 for every additional movie rented.

C) The cost increases $3.99 for every additional movie rented.

D) The cost increases $15.96 for every additional movie rented

Answers

C) The cost increases $3.99 for every additional movie rented.
Explanation.- Just decrease a number from it's consecutive larger number. That's all!

The rate of change in the mean situation will be the cost increase of $3.99 for every additional movie rented. Hence, option C is correct.

What are arithmetic operations?

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Price of 1 movie = is $3.99

Price of 2 movies = $7.98 which is 2 times one movie

Price of 3 moves = $11.97 which is 3 times one movie and so on.

It means that the rate of increase in the price will be $3.99

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Eric eats 1/6 of an apple pie and Jack eats 1/4 of the apple pie. How much of the pie has been eaten?

A) 1/5
B) 5/12
C) 7/12
D) 1/3

Answers

The answer is C) [tex] \frac{7}{12} [/tex]
It is B) 5/12
Lemme know if you want to know why:)
---

If you are asked to find 621 / 59 how do you know the quotient will be greater than 10 before you actually divide?

Answers

Final answer:

You can estimate that the quotient of 621 / 59 is greater than 10 by rounding 59 to 60 and recognizing that 600 divided by 60 equals 10, and then considering that 621 is slightly more than 600 while 59 is slightly less than 60.

Explanation:

To determine if the quotient of 621 / 59 will be greater than 10 before actually dividing, you can estimate using numbers that are easier to work with. The number 59 is close to 60, which is a multiple of 10. If you round 59 up to 60, you can easily see that 600 (10 times 60) would be divided cleanly into 10 parts.

Thus, you can infer that since 621 is slightly higher than 600, and 59 is slightly less than 60, the quotient must be slightly greater than 10.

Help please 11 POINTS
PLEASE HELP I DON'T UNDERSTAND. PLUS I WILL MARK BRILLIANT WHO ANSWERS ALL OF THEM CORRECTLY.

1) Rename 4/7 as a percent. Round to the nearest tenth of a percent if necessary


2) Rename .709 as a percent


3) If 1/3 is equivalent to 33 1/3 %, what percent is equivalent to 2/3?


4) Alice plays basketball. In one game she shoots 21 free throws and makes 81.25% of them. Estimate how many free throws she makes?


5) Estimate 48% of $23.95


6) The bill at a restaurant is $58.50, and Mrs. Johnson wants to leave a 15% tip. Approximately how much money should she leave?


7) Which proportion can be used to solve the following percent problem? What is 50% of 70?


8) What percent of 50 is 12.5?


9) 50 is 6.25% of what number?

Answers

57.10
70.9
these are only the answers for the first two problems
1) Convert fraction into a decimal: 4 / 7 = 0.5714... Round to nearest tenth. The 5 is in the tenth place. Look at the digit on the right of 5. Is it equal or greater than 5? Yes. 7 is greater than 5. We round up to 0.60. Convert decimal to percent: 0.60 => 60%

2) Just move the decimal point two places to the right: 0.709 => 70.9%

3) We know that 1/3 is equal to 33 1/3%. Just multiply 33 1/3% by two.

0.333... * 2 = 0.6666... = 66 2/3%

4) Alice gets 21 free throws and makes 81.25% of them. The question then asks "how many free throws she makes". Well just multiply 81.25% by 21:
0.8125 * 21 ≈ 17

5) Convert percent into decimal: 48% => 0.48
Multiply: 0.48 * 23.95 ≈ $11.50

6) Multiply 15% by 58.50: 0.15 * 58.50 ≈ $8.80

The last three questions I answered in your other question.

equivalent combination for 2x +7 + 5x+4-x

Answers

6x + 11
Just add like terms

Assuming you are meaning combine like terms,

2x + 11 + 5x -x

2x + 11 + 4x

The answer is 6x + 11

every week Mr. Kirkson uses 3/16 gallon of water to water every 1/3 square foot of his garden. How many gallons of water dose Mr. Kirkson use per square foot to water his garden each week

Answers

Answer

Find out the  how many gallons of water dose Mr. Kirkson use per square foot to water his garden each week .

To prove

As given

[tex]Every\ week\ Mr. Kirkson\ uses\ \frac{3}{16} gallon\ of\ water\ to\ water\ every\ \frac{1}{3}\ square foot\ of\ his\ garden.[/tex]

[tex]\frac{3}{16}\ gallon= \frac{1}{3}\ square\ foot[/tex]

Now find out for water uses per square foot to water his garden each week .

[tex]1 square foot = \frac{\frac{3}{16}} {\frac{1}{3}}[/tex]

[tex]1 square foot = \frac{3\times 3}{16\times 1}[tex]

[tex]1 square foot = \frac{9}{16}gallon[tex]

1 square foot = 0.5625 gallons

Therefore for Mr. Kirkson use per square foot to water his garden each week is 0.5625 gallons.

Mr. Kirkson will use 9/16 gallons of water for 1 square foot.

What is proportion?

The correct relationship between the size of different parts of the same thing, or between one thing and another.

Given that, Mr. Kirkson uses 3/16 gallon of water to water every 1/3 square foot of his garden.

3/16 for 1/3

3*3/16 for 1

9/16 for 1

Hence, Mr. Kirkson will use 9/16 gallons of water for 1 square foot.

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how many times does 40 go into 746

Answers

746\40=18.65
answer=18.65
18.65 times! Because I just divided 746 by 40 and I got that answer.

Draw one row of two unit cubes stacked on top of another row of unit cubes

Answers

Answer:

umm can't draw on a phone...

1210 divided by what it equals 110

Answers

11
1210÷110=121÷11=11
110/1210=121/11=11
11

3m + 7m - 0.8 < 9.2 someone answer this quick plz

Answers

if you are solving for m
m <1
Your answer is actually m < 0.8

Last week, Chen bought ​ 8 1/2 ​ gallons of gas at $2.30 per gallon. This week, he bought ​ 4 3/10 ​ gallons of gas at $2.70 per gallon.

What was his total cost?

Answers

The total cost of the gallons of gas will be $31.16

Since  Chen bought ​ 8 1/2 ​gallons of gas at $2.30 per gallon, the cost will be:

= 8 1/2 × $2.30

= 8.5 × $2.30

= $19.55

Since he also bought ​ 4 3/10 ​gallons of gas at $2.70 per gallon, the cost will be:

= 4 3/10 × $2.70

= 4.3 × $2.70

= $11.61

Therefore, the total cost will be the addition of both values gotten and this will be:

= $19.55 + $11.61

= $31.16

Therefore, the total cost is $31.16

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Jenny made five loaves of banana bread that had 1/4 cup of oil in each loaf. After she was done baking, she had 5/8 cup of oil remaining. How much oil did she have before baking? ______ cups

Answers

the answer is 1 - 5/8
= 3/8
First we need to find out how much oil she used in all of the loaves: 1/4*5=  5/4, and add it to the ramaining oil: 5/8+ 5/4( converting 5/4 to 8 by multiplying by 2), you get 15/8. Now simplify to get: 1 and 7/8 cups of oil.
Hope this helps!

Each snack pack holds 20 crackers how many crackers in all are there in 4 snack packs

Answers

 the answer is   20 * 4 = Ammount of crackers in all 4 snackpacks 
                     the answer is 80


its going to be 5 since 20 divided by 4 is equal to 5 

the set department has a 5 foot board.They cut 2 segments that are 1 and 1 half foot each.How much of the board is left?

Answers

First, you would add 1 and 1 1/2 together to make 2 1/2. Then, you subtract 2 1/2 from 5, and you would get 2 1/2. There is 2 1/2 feet of board left. 

How much longer than 5/8 inch is 7/8 inch?

A) 1 1/2 inch
B) 1/4 inch
C) 1 3/8 inch
D) 1 1/8 inch

Answers

its 1/4 inch longer.

hope this helps you

Answer:  1/4

Step-by-step explanation: hope this helps

Ester packed 9 boxes inside of a crate. Each box weighed the same amount. If the crate weighed a total of 92.16 kilograms, how much did each box weigh?

Answers

Each box weighed 10.24 kilograms because you would divide the weight they gave you by how many boxes were inside.

A company makes triangular plates for individual slices of pizza. For each plate, the base is 5 inches and the height is 16 inches. The area of the top of the plate is ____ inches squared
I will put best answer for the first person to answer.

Answers

Area of triangle: base x height /2

5x16/2= 40 inches square

Answer: 40 inches square

Final answer:

The area of the top of the triangular pizza plate is calculated using the formula for the area of a triangle (½ × base × height), which results in an area of 40 inches squared.

Explanation:

As we know that:

The area of a triangle can be calculated using the formula:

Area = ½ × base × height.

In this case, the triangular plate has a base of 5 inches and a height of 16 inches. Substituting these values into the formula gives:

Area = ½ × 5 inches × 16 inches = ½ × 80 inches2 = 40 inches2.

Therefore, the area of the top of the plate is 40 inches squared.

Benchmark 14.01-4.51

Answers

14.01-4.51 equals 9.5
The answer would equal 9.5

7.25 ( x + 1.5 · 10)

Answers

Your answer would look like this: 7.25x + 108.75

Dreanne uploads 292 pictures to her online album.Her online album shows 12 pictures on each page.How many pages does she scroll through to see all 292 pictures?What does the remainder represent

Answers

Final answer:

Dreanne needs to scroll through 25 pages to see all her 292 pictures. She scrolls through 24 full pages, and the 25th page has the remaining 4 pictures.

Explanation:

To find out how many pages Dreanne has to scroll through to see all 292 pictures in her online album, we need to divide the total number of pictures by the number of pictures per page. We know there are 292 pictures and each page shows 12 pictures.

Dividing 292 by 12, we get:

292 ÷ 12 = 24 R 4

This means Dreanne will have to scroll through 24 full pages of pictures. However, there's a remainder of 4, which means there will be an additional page with only 4 pictures on it. In total, Dreanne will scroll through 25 pages. The remainder represents the number of pictures on the last, non-full page.

PLEASE HELP!!!

The lava flow from a particular volcano moves about 93 m in 1.5 hours
A. At this rate, how far will the lava flow travel in one hour?
B. At this rate, how far will the lava flow travel in five minutes? Write your answer as a decimal.

Answers

A) divide 1.5 hrs by 3 to get .5 hr than divided 93mi by 3 to get 31 than add .5hr to another .5hr to get 1hr than add 31 to 31 to get 62 so the answer for A is (1hr=62mi)
B)Turn 1.5 hrs to minutes which is 90 than divide by 18 to get 5 minutes and do the same with the miles 93 divided by 18 equals the answer is (5minutes= 5.16666666667miles)

two 5th grader solve 400000 divided by 800 Carter said the answer is 500 while Kim said the answer is 5000:secont questions what if the problem is 4000000÷8000?what is the quotient

Answers

The quotient would be 500
I think the answer to this problem is 2 I might be wrong

A scientist measures the air temperature in Death Valley, California, and records 50 °C. The expression 1.8c + 32 gives the temperature in degrees Fahrenheit for a given temperature in degrees Celsius c. Find the temperature in degrees Fahrenheit that is equivalent to 50 °C.

Answers

Given that 1.8*(Celsius temperature) + 32 = Fahrenheit temperature, we can plug in 50 for the Celsius temperature and solve:

1.8*50 + 32 = 90 + 32 = 122 degrees F

Explain how you know whether to add or subtract when you you distributive property of multiplication

Answers

The easiest way to know when to add or subtract with distributive property of multiplication is by remembering that multiply (x) and add (+) mean gaining, whereas divide (/) and subtract (-) mean to take away. When multiplying, thus distributive property of MULYIPication, you add 99% of the time.
U could use the term
Please(parenthesis)
Excuse(evaluate)
My(multiplication)
Dear(division)
Aunt(addition)
Sally(subtract)
Which shows you what order to go in

0.75 0.3215 3/8 9/16 Order least to greatest

Answers

 *0.3215, 3/8 , 9/16 , 0.75*
0.3215=0.32150000000...
3/8= 0.3750000000...
9/16=0.5625000000...
0.75=0.75000000000...




the weights of 3 kittens at one week of age were 3.6 ounces, 4.2 ounces, and 3.3 ounces. If each kitten has gained 2.3 ounces how much does each of the kittens weigh

Answers

3.6 ounces --> 5.9 ounces
4.2 ounces --> 6.5 ounces
3.3 ounces --> 5.6 ounces

You just basically add 2.3 ounces to each of the kitten's original weight.

Answer:

5.9 ounces, 6.5 ounces and 5.6 ounces

Step-by-step explanation:

The weights of 3 kittens at one week of age were 3.6 ounces, 4.2 ounces, and 3.3 ounces.

Each kitten has gained 2.3 ounces. Now the weight of the kittens were

Kitten 1  = 3.6 + 2.3 = 5.9 ounces

Kitten 2 = 4.2 + 2.3 = 6.5 ounces

Kitten 3 = 3.3 + 2.3 = 5.6 ounces

Rachel is walking around her neighborhood. If she walks 1/3 mile in 1/6 hour, how fast is Rachel walking in miles per hour?

Answers

you would first want to figure out how many minutes 1/6 of an hour is. That means that it took Rachel 1/3 mile in 10 min. If you multiply 10 by 3, you know that it took 30 minutes for one mile. She is walking at a speed of 2mph. 

Answer:

She is walking 2 miles per hour

Step-by-step explanation:

1/6*6 = 1 hour

1/3*6 = 2


2 mph

Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter, what is the total amount she earned?

Answers

if she gets 3% of what she sells you multiply the decimal form of the percent by the amount she has made:
50*.03=1.5
So she make $1.50 for every $50 of sales, so you multiply the amount she made by her commission each day by the number of days she worked:
1.5*30=45
 
She earned a total of $45

Answer:

Here's what the equation would look like:

30(50) + 0.03(4596)

1500 + 137.88

Paige earned $1637.88

Step-by-step explanation:

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