2n + 5 = 27
2 * 11 + 5 = 27
22 + 5 = 27
27 = 27
11 is the solution to this equation.
Answer:
13 sheep, 19 chicken
Step-by-step explanation:
You can start to solve this problem by assigning variables. First, let's assign the number of sheep there are as
and the number of chickens there are as
.
Because each sheep has 4 legs, the number of legs for each sheep would be
. Similarly, because each chicken has 2 legs, the number of legs for each chicken would be
. Each animal would have 1 head, so the number of heads would just be
and
. Because the number of legs in total are 90,
. Because the number of heads in total are 32, 
There is now a system of equations with two unknown variables and two equations. There are many ways to solve this, but for me, the easiest would be elimination. First, I would double the second equation,
. Then, I would subtract that from the first equation, eliminating
.
. Solving for x gives 13. We can then plug that value into the second equation, making y be
. This means that
and
, meaning that there are 13 sheep and 19 chicken.
The sum of all angles in a triangle sum up to 180.
∠1 = x+37
∠2=x+67
∠3=90° (right triangle)
∠1+∠2+∠3 = 180°
(x+37)+(x+67)+90=180
2x+104+90=180
2x+194=180
2x=-14
x=-7
An angle can't be negative, but when plugged in it works!!
∠1 = -7+37=30
∠2=-7+67=60
30+60+90=180
Hope it helps!
Answer: Each girl will receive $18.75.
Step-by-step explanation:
Given: Two girls babysat three children for five hours.
Hourly pay for each child = $2.50
Payment for 5 hours per child = 
Payment to 3 children for 5 hours = 
So, the amount received by each girl = 

Hence, each girl will receive $18.75.
-4.3,-6/2,-2.5,5/4,4,5.33,8.2