What is 0.20833333333 as a fraction?

Please help: State if the three numbers can be the measures of the sides of a triangle.

Andrews [41]

1) no 2) yes 3) yes 4) no 5) yes 6) yes

4 0

3 years ago

If a farmer can trade four chickens for a pig, three pigs for two sheep, and five sheep for two cows, what is the minimum number

Deffense [45]

Answer:

The minimum of cows he needs are: 2

Step-by-step explanation:

There's a relation between each animal:

5 chickens equals 1 pig

3 pigs equals 2 sheep

5 sheep equals 2 cows

You can understand it as the following three abstractions:

5c = 1p (1)

3p = 2s (2)

5s = 2o (3)

Where:

c is for chickens

p is for pigs

s is for sheep

o is for cows

So now you have three equations with 4 variables. The next step is to obtain an equation that relates directly the variable c (chickens) with the variable o (cows). In order to do that from the equation 2 we obtain s in terms of p, as follow:

$3p =2s\\s=\frac{3p}{2} \\$

Then we replace s in the equation 3 and we obtain v in terms of p:

$5(\frac{3p}{2} )=2v\\\\2v=\frac{15}{2} p\\\\$

$v=\frac{15}{2*2} p \\\\v=\frac{15}{4} p$

Now we replace v in the equation 1:

$4c = \frac{4}{15} v$

$c=\frac{1}{15} v$ (4)

The equation 4 means that 1 chicken equals the fifteenth part of a cow. For this case the farmer needs 20 chikens, so we multiply per 20 each part of the equation 4:

$20c = 20 * \frac{1}{15} v\\ \\\ 20c = \frac{20}{15}v = \frac{4}{3}v \\\\20c = 1.3333v$

As it is impossible to have 1.3333 cows, the answer is 2 cows approximately.

3 0

3 years ago

Read 2 more answers

Click on the graph to choose the correct answer to the equation. 3x - y ≥ 5 hurry

mr_godi [17]

For this case we have:

To begin we must graph $3x-y = 5$ , for this:

We do $x = 0$ , then:

$3 (0) -y = 5\\-y = 5\\y = -5$

So, we have the point $(x_ {1}, y_ {1}) = (0, -5)$

We do $y = 0$ , then:

$3x-0 = 5\\3x = 5$

$x = \frac {5} {3}$

So, we have the point $(x_ {2}, y_ {2}) = (\frac {5} {3}, 0)$

We place both points in a coordinate plane and graph the line. Now, we must find the shaded region that identifies the inequality $3x-y\geq 5$

We must replace any point located to the left or to the right of the line. If the inequality is met, then the shaded region will be on the respective side.

We substitute the point $(x_ {3}, y_ {3}) = (5,0)$