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olga55 [171]
3 years ago
9

A zoo has 15 toucans and 60 parrots. what is the ratio of the Number of toucans to the number of parrots at the zoo?

Mathematics
2 answers:
Daniel [21]3 years ago
5 0

Answer:

1:4

Step-by-step explanation:

A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.

Nimfa-mama [501]3 years ago
4 0

Answer:

1:4

Step-by-step explanation:

We have been given that a zoo has 15 toucans and 60 parrots. We are asked to find the ratio of the number of toucans to the number of parrots at the zoo.

First of all we will represent our given quantities as fraction.

\frac{\text{Toucans}}{\text{Parrots}}=\frac{15}{60}

Now we will reduce our fraction to lowest terms.

\frac{\text{Toucans}}{\text{Parrots}}=\frac{15\cdot 1}{15\cdot 4}

\frac{\text{Toucans}}{\text{Parrots}}=\frac{1}{4}

Since there are 1 toucans for every 4 parrots, therefore, ratio of toucans to parrots is 1:4.

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A paint company mixes it's paint with water to create more paint per gallon. They currently have ten gallon jugs which contain 1
Karo-lina-s [1.5K]
<h3>Answer:  1.25 gallons</h3>

==================================

Explanation:

They currently have ten gallon jugs that contain 10% water, so this means 0.10*10 = 1 gallon of the jug is water and the other 10-1 = 9 gallons is paint. This is assuming the cans are just paint and water.

The ratio of paint to water is 90:10 which reduces to 9:1

Often it helps to reduce as much as possible, but it's actually more handy in this case to keep it at 90:10 so you can see the two parts add back up to 100%

--------------

Let x be the amount of water we add. This amount is in gallons.

We start off with 1 gallon of water and it bumps up to 1+x gallons of water.

The overall amount of 10 gallons also bumps up to 10+x gallons.

We want a ratio of 80:20 this time, so we want 20 parts water and 80 parts paint. In other words, we want 20/(20+80) = 20/100 = 20% water

Divide (1+x) over (10+x) to get (1+x)/(10+x). This represents the fraction of water. We want this fraction to be equal to 0.20, which is the 20% water amount. It is also equal to 20/100.

--------------

(1+x)/(10+x) = 20/100

100(1+x) = 20(10+x) ... cross multiply

100+100x = 200+20x ... distribute

100x-20x = 200-100

80x = 100

x = 100/80 ... divide both sides by 80

x = 1.25

You need to add 1.25 gallons of water

--------------

If you add 1.25 gallons of water, then,

amount of water = 1+x = 1+1.25 = 2.25

amount of paint&water = 10+x = 10+1.25 = 11.25

So you'll have 2.25 gallons of water out of 11.25 gallons of water&paint mix

2.25/11.25 = 0.2 = 20% water

This confirms our answer.

--------------

Extra info:

1.25 gallons = 1 gallon + 1/4 gallon

1.25 gallons = 1 gallon + 1 quart

This is because 1 gallon = 4 quarts, so 1 quart = 1/4 gallon.

5 0
3 years ago
In a typical stoichiometric problem, the given quantity is first converted to______. Then the ____ ratio from the balanced equat
ryzh [129]

Answer:

The correct answer is

moles

mole

moles

Step-by-step explanation:

In a typical stoichiometric problem, the given quantity is first converted to moles. Then the mole ratio from the balanced equation is used to calculate the moles of the wanted substance. Finally, the moles are converted to any other unit of measurement related to the unit mole.

4 0
3 years ago
If y is directly proportional to x, and y = 5 when x = 2, what is the value of y when x = 6?
Korolek [52]

it could be 2.2 because every 5 you get 2 so it would be 10 and 4 so when y=6 then x should be 2.2.

3 0
3 years ago
Read 2 more answers
Which is the equation of the line with a slope of 9 that goes through the point (1,10.6)?
Lilit [14]

Answer: y - 10.6 = 9(x-1)

Step-by-step explanation:

6 0
3 years ago
Anyone? I need help with c.
Kryger [21]
You have to divide it
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