the rule for the number of fish in a home aquarium is 1 gallon of water for each 1 inch of fish length. Marta's aquarium 13 gallons and Hanks aquarium holds 17 gallons. Based on the number of fish they bought in exercise 10 ( Marta got 3 guppies & 2 planties; Hank got 3 guppies & 4 planties) How long is a guppy and how long is a planty?
Answers
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
Answer:
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
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Let the equation:
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Answers
Answer:
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Step-by-step explanation:
Answers
Here's my solution:
Let n = the lesser of the two consecutive even integers; so what will be a good way to represent the greater of the two consecutive even integers? I say n + 2.
Let's write the equation:
n = ((n+2)/2) + 10
I'll multiply both sides of the equation by 2 to eliminate the denominator, getting:
2n = 2[((n+2)/2) + 10]
This reduces to:
2n = n+2 + 20
Which can be further simplified to:
2n = n+22
Subtracting n from both sides we get:
n = 22
So n, the lesser consecutive even integer is 22. The greater consecutive even integer is 24.
Let's check this solution by substituting n = 22 into our original equation:
n = ((n+2)/2) + 10
22 = ((22+2)/2) + 10
22 = ((24)/2) + 10
22 = (12) + 10
22 = 22 - it checks!