2. There are 15 animals in the barn. Some are cows and some are roosters. There are 48 legs in
all. Write a system of equations that can be used to determine how many cows and how many
roosters are in the barn.

(9, 6)

Step-by-step explanation:

With 15 animals in total, the equation for the number of animals is

x + y = 15    with x for cows and y for roosters.

With 48 legs in total, the equation for the number of legs is

4x + 2y = 48    with x for cows and y for roosters.  The numbers in front of each variable represent the number of legs each animal has.

Set the first equation equal to y.

y = 15 - x

Substitute this equation into the second equation and solve.

4x + 2y = 48

4x + 2(15 - x) = 48

4x + 30 - 2x = 48

2x + 30 = 48

2x = 18

x = 9

Substitute this value into the first equation and solve.

x + y = 15

9 + y = 15

y = 6

The solution is (9, 6).

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

110698.56 square miles

step-by-step explanation:

multiply 3.8 by 102

387.6

multiply 2.8 by 102

285.6

multiply those two to get