A pet store has 150 goldfish and betta fish altogether. The ratio of goldfish to betta fish is 2:3. How many goldfish does the p
2 answers:
The number of goldfish in the pet store is equal to 60 fishes.
- Let the goldfish be G.
- Let the betta fish be B.
<u>Given the following data:</u>
- Total number of fishes = 150 fishes.
- Ratio of G to B = 2:3
- Total ratio= 2 + 3 = 5
To calculate the number of goldfish that the pet store have:
<h3>What is ratio?</h3>Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
Mathematically, the number of goldfish in the pet store is given by this expression:
G = 60 fishes.
Read more on ratio here: brainly.com/question/13513438
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Hi there!
To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine: