 , 22.06.2019 21:00 Hellokittyjam35

# The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. marta's aquarium holds 24 gallons of water and hanks aquarium hold 42 gallons of water. the aquarium holds two types of fish, fish a and fish b. if marta bought 3 of fish a and 2 of fish b, and hank bought 3 of fish a and 4 of fish b, how long is fish a and how long is fish b? 121515151515165151651 Fish A is 4 inches.

Fish B is 5 inches.

Step-by-step explanation:

22=3a+2b

and

32=3a+4b

So,

a=4 and b=5 fish a is 7 inches long

fish b is 5 inches long

Step-by-step explanation:

set up system of equations and use subtraction

Marta's    3a + 2b = 31

Hank's .   3a + 4b = 41

subtract the two equation (make sure you take the negative all the way through the bottom equation

3a cancels with -3a and you are left with

-2b = -10

b = 5

plug b = 5 into one of the equations and solve for a. Step-by-step explanation: A: 7 inchesB: 6 inchesStep-by-step explanation:

We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.

If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...

... 3A +2B = 33 . . . . . total length of Marta's fish

... 3A +4B = 45 . . . . . total length of Hank's fish

Subtracting the first equation from the second, we get ...

... 2B = 12

... B = 6 . . . . . divide by 2

Using this value in the first equation, we have ...

... 3A + 2·6 = 33

... 3A = 21 . . . . . . . . subtract 12

... A = 7 . . . . . . . . . . divide by 3

Fish A is 7 inches long; fish B is 6 inches long. Each guppie would be 3 inches and each platie would be 2 inches.
Martha: 3x3= 9 2x2= 4 9+4= 13
Hank: 3x3= 9 4x2= 8 9+8=17 Ok so 1gallon=1

guppylegnth=g
plantielegnth=p

martha has 13 inches of fish
hank has 17 inchs of fish

the amount of fish is calculated by
amount of each fish times legnth of fish

martha:
13=3g+2p

hank:
17=3g+4p

compare, asssuming that all planties are same legnth and all guppies are same legnth

13=3g+2p
17=3g+4p
looks like we just added 2p to first euation to get secon equation

minus them
-13=-3g-2p
17=3g+4p +
4=0g+2p

4=2p
divide 2
2=p

sub back

13=3g+2p
13=3g+2(2)
13=3g+4
minus 4
9=3g
divide 3
3=g

guppies are 3 inches
planties are 2 inches
9   ### Other questions on the subject: Mathematics Mathematics, 21.06.2019 14:50, gabbym39077
Cumulative examcumulative exam active13time remaining02: 44: 18the graph represents the data cost for monthly internetservice for a cell phone. which function, c(x), represents the monthly cost in dollarsin terms of x, the number of gigabytes used in a month? cell phone internet service(15,5x + 10150,0sx522 < x < 664x115, osx< 25x + 20, 2< x< 650, 65815%,monthly cost (s)20x + 5| 50x,0 < x < 22 < x < 664x( 15x, osx< 2c(x) = 5x + 10, 2< x< 6150x, 65 x5+1234 5 6 7 8 9 10 11 12gigabytes used​ Mathematics, 21.06.2019 15:00, lilay30
Write the product as a trinomial. (x + 2)(x + 3) x2 + 5x + 6 x2 + 6x + 6 x2 + 6x + 5 x2 + 5 Mathematics, 21.06.2019 17:20, lpssprinklezlps
Consider the proof. given: segment ab is parallel to line de. prove: what is the missing statement in step 5? Mathematics, 21.06.2019 18:40, wisal96
What value of x is in the solution set of 4x – 12 s 16 + 8x?
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length...

### Questions in other subjects:     Mathematics, 04.11.2020 19:40     Mathematics, 04.11.2020 19:40
Questions on the website: 13578177