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Pavlova-9 [17]
2 years ago
4

While Michelle sat observing birds at a bird feeder, one fourth of the birds flew away when they were startled by a noise. Two b

irds left the feeder to go to another stationed a few feet away. Three more birds flew into the branches of a nearby tree. Four birds remained at the feeder. How many birds were at the feeder initially?
Mathematics
1 answer:
Dimas [21]2 years ago
6 0
6. its not asking about how many left, and tje birds in the tree never came to the feeder.
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Bonzo went to a carnival. At the first
Shalnov [3]

Bonzo started with 2.1 dollars

Step-by-step explanation:

Assume that Bonzo has $x

1. Change $x to cents

2. Calculate the remaining money with him after each game

3. Equate the left money in the 3rd game by zero to find x

∵ $1 = 100 cents

∴ $x = 100 x cents

First game

∵ Bonzo has 100 x cents

∵ He paid 10¢ to get in

∴ The money left is (100 x - 10)

∵ He spent half  the money he had left

- That mean the money left with him is the other have

∴ The money left with him = \frac{1}{2} (100 x - 10) = (50 x - 5) cents

∵ He spent 10¢  to get out

∴ The money left after 1st game = (50 x - 5) - 10

∴ The money left after 1st game = (50 x - 15) cents

Second game

∵ Bonzo has (50 x - 15) cents

∵ He paid 10¢ to get in

∴ The money left is (50 x - 15) - 10 = (50 x - 25)

∵ He spent half  the money he had left

∴ The money left with him = \frac{1}{2} (50 x - 25) = (25 x - 12.5) cents

∵ He spent 10¢  to get out

∴ The money left after 2nd game = (25 x - 12.5) - 10

∴ The money left after 2nd game = (25 x - 22.5) cents

Third game

∵ Bonzo has (25 x - 22.5) cents

∵ He paid 10¢ to get in

∴ The money left is (25 x - 22.5) - 10 = (25 x - 32.5)

∵ He spent half  the money he had left

∴ The money left with him = \frac{1}{2} (25 x - 32.5) = (12.5 x - 16.25) cents

∵ He spent 10¢  to get out

∴ The money left after 3rd game = (12.5 x - 16.25) - 10

∴ The money left after 3rd game = (12.5 x - 26.25) cents

∵ He found he had no money left after the 3rd game

∴ Equate the left money with him by zero

∴ 12.5 x - 26.25 = 0

- Add 26.25 to both sides

∴ 12.5 x = 26.25

- Divide both sides by 12.5

∴ x = 2.1

<em>Bonzo started with 2.1 dollars </em>

Learn more:

You can learn more about money in  brainly.com/question/1870710

#LearnwithBrainly

5 0
2 years ago
Anne,Ryan and Joel collect empty cans for recycling. They collect a total of 1,925 cans. Anne collects half as many cans as Ryan
elixir [45]
A + R + J = 1925
A = 1/2R
J = 2R

1/2R + R + 2R = 1925
7/2R = 1925
R = 550

J = 2(550)
J = 1100

Joel collects 1100 cans.
3 0
2 years ago
Sybil has 1/2 of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will
Helen [10]

Answer: \frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}


Step-by-step explanation:

Given: Sybil has 1/2 of a pizza left over.

If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get

The  fraction of the original pizza will Sybil and her 3 friends each receive

=\frac{\frac{1}{2}}{3}=\frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}



6 0
2 years ago
Read 2 more answers
18. A science teacher has a supply of 20% saline solution and a supply of 50% saline solution. How much of each solution should
VladimirAG [237]
The answer is (c)16 mL of the 20% solution and the 16 mLof the 50% solution
3 0
2 years ago
Bill is saving for his son's college education. If the savings account earns 5% interest compounded monthly, and he wants to hav
Otrada [13]

Total money that will be in the account in 10 years = 45000

Time period = 10 years

Rate of interest = 5% or 0.05

n = 12 (number o times the money is compounded)

Let the principal (p) be = x

Formula for compound interest = A=p(1+\frac{r}{n})^{nt}

Putting the values in the formula we get,

45000=x(1+\frac{0.05}{12})^{10*12}

45000=x(\frac{12+0.05}{12})^{120}

45000=x(1.004)^{120}

45000=1.614x

x=27881.04

Hence, the principle amount should be approximately $27881.

6 0
2 years ago
Read 2 more answers
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