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shutvik [7]
3 years ago
6

12. The ratio of clown fish to angelfish at a pet store is 5:4. The ratio of

Mathematics
2 answers:
olga55 [171]3 years ago
8 0

Answer:

Step-by-step explanation:

a. How many angel fish are there?

60 clown fish (4 angel fish / 5 clown fish ) =48 angel fishes

b. How many goldfish are there?

60 clown fish ( 4 angel fish / 5 clown fish ) ( 3 gold fish / 4 angel fish ) = 36 gold fish

777dan777 [17]3 years ago
4 0

Answer:

a. There are 48 angelfish.

b. There are 36 goldfish.

Step-by-step explanation:

the ration of clownfish to angelfish is 5:4 and there are 60 clownfish.

60:? 5x=60 x=12 12(4)=48

60:48 there are 48 angelfish

the ration of angelfish to goldfish is 4:3 and know we know there are 48 angelfish

48:? 4x=48 x=12 12(3)=36

48:36 there are 36 goldfish

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For his long distance phone service, Keith pays a $3 monthly fee plus 11 cents per minute. Last month, Keith's long distance bil
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The number of minutes for which Keith was billed = 97

Step-by-step explanation:

Step 1:

It is given that Keith pays a fixed fee of 3$ a month and 11 cents per minute  for the number of minutes used.

Total cost = Fixed cost + Per minute cost

If x represents the number of minutes consumed in a month then we can compute the total cost using the below equation:

Total cost = 3$ + 0.11 * x

Step 2:

The total cost is 13.67$

Substituting in the equation we get

13.67 = 3 + 0.11 * x

x = 10.67 / 0.11 = 97 minutes

Step 3:

Answer:

The number of minutes for which Keith was billed = 97

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3 years ago
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Step-by-step explanation:

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1. You are given the 3rd and 5th term of an arithmetic sequence. Describe in words how to determine the general term.
kozerog [31]

Step-by-step explanation:

1. In an arithmetic sequence, the general term can be written as

xₙ = y + d(a-1), where xₐ represents the ath term, y is the first value, and d is the common difference.

Given the third term and the fifth term, and knowing that the difference between each term is d, we can say that the 4th term is x₃+d and the fifth term is the fourth term plus d, or (x₃+d)+d =

x₃+2d. =x₅ Given x₃ and x₅, we can subtract x₃ from both sides to get

x₅-x₃ = 2d

divide by 2 to isolate d

(x₅-x₃)/2 = d

This lets us solve for d. Given d, we can say that

x₃ = y+d(2)

subtract 2*d from both sides to isolate the y

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Therefore, because we know x₃ and d at this point, we can solve for y, letting us plug y and d into our original equation of

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2.

Given the third and fifth term, with a common ratio of r, we can say that the fourth term is x₃ * r. Then, the fifth term is

x₃* r * r

= x₃*r² = x₅

divide both sides by x₃ to isolate the r²

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square root both sides

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One thing that is important to note is that we don't know whether r is positive or negative. For example, if x₃ = 4 and x₅ = 16, regardless of whether r is equal to 2 or -2, 4*r² = 16. I will be assuming that r is positive for this question.

Given the common ratio, we can find x₆ as x₅ * r, x₇ as x₅*r², and all the way up to x₁₀ = x₅*r⁵. We don't know the general term, but can still find the tenth term of the sequence

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Opposites in math definition
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Answer:

The opposite of a number is its additive inverse. The sum of a number and its opposite is zero. (This is sometimes called the property of opposites ). a+(−a)=0.

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3 years ago
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Answer:

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Step-by-step explanation:

3 - 7 = -4, so c is equal to -4.

Since there is only one value for d, d stays the same as 5d.

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