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JulijaS [17]
3 years ago
7

At a pond there were 24 ducks swimming. The ratio of duckling to adult ducks is 5 to 1. How many ducklings were swimming at the

pond.
Mathematics
2 answers:
CaHeK987 [17]3 years ago
7 0

Answer:

the answer is 20

Step-by-step explanation:

Setler [38]3 years ago
5 0

Answer:

Twenty ducklings were swimming at the pond

Step-by-step explanation:

Let

x------> the number of ducklings

y------> the number of adult ducks

we know that

x+y=24 ------> equation A

\frac{x}{y}=\frac{5}{1}

so

x=5y

y=0.20x ------> equation B

Substitute equation B in equation A

x+0.20x=24

1.20x=24

x=20 ducklings

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Write N as a discrete exponential function of t of the form N(t)=A(1+r)t. (HINT: You will need to find (1+r), where r is the rat
Whitepunk [10]

Answer:

N(t)=84(1+0.0405)^t.

Step-by-step explanation:

We have been given that N(11)=130 and N(0)=84. We are asked to write N as a discrete exponential function of t of the form N(t)=A(1+r)^t.

Using our given information, we can set an equation as:

N(0)=A(1+r)^0

84=A*1

84=A

Using our given information, we will get:

N(11)=A(1+r)^{11}

Substitute the given values:

130=84(1+r)^{11}

\frac{130}{84}=\frac{84(1+r)^{11}}{84}

1.5476190476190476=(1+r)^{11}

Switch sides:

(1+r)^{11}=1.5476190476190476

Take 11th root of both sides:

\sqrt[11]{(1+r)^{11}}=\sqrt[11]{1.5476190476190476}

1+r=1.04050024747304

r=1.04050024747304-1

r=0.04050024747304

r\approx 0.0405

Therefore, our required function would be N(t)=84(1+0.0405)^t.

5 0
3 years ago
It is a six-digit whole number.
pogonyaev

Answer:

212121.

Step-by-step explanation:

It is odd number so it ends in 1.

There are 3 2's and 3 1's which alternate.

Diivisible by 3 and 9

It is 212121.

8 0
2 years ago
.The sum of the angles of a polygon is 900⁰ .How many sides does it have​
DanielleElmas [232]

Answer:

heptagon

Step-by-step explanation:

5 0
3 years ago
a science quiz has eight multiple choice questions with five choices for each. Find the total number of ways to answer the quest
almond37 [142]

Answer:

390625

Step-by-step explanation:

The questions are all independent -- the answer on one question does not limit the number of possible answers on another question.

The quiz has 5 choices for each question, so there are

5\times5\times5\times5\times5\times5\times5\times5 ways to answer the quiz questions.

Notice that this could be written 5^8.  You could say that the number of ways to answer the questions is

number \, of \, choices^{number \, of \, questions}

Use a calculator to find 5^8

8 0
3 years ago
Solve 3(x - 2) < 18.
Musya8 [376]
This answer is 290 because when you skip the math you would find the answer
5 0
3 years ago
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