4glasses of milk and 2 snack bars have a total of 80 carbohydrates (carbs), and 2 glasses of milk and 3 snack bars have a total of 68 carbs. determine how many carbs are in one glass of milk and in one snack bar

The amount of carbs in 1 glass of milk  =  13 carbs

The amount of carbs in 1 snack bar =   14 carbs

Step-by-step explanation:

Let us assume the carbs  in 1 glass of milk = m

And the number of carbs in 1 snack bar   = n

Now, total carbs in  4 glass of milk  = 4 x (Carbs in 1 glass of milk) =  4 m

Also, total carbs in 2 snack bars  = 2 x (Carbs in 1 snack bar) =  2 n

Here,  Total carbs in 4 milk glass + 2 snack bar  = 80

⇒ 4  m + 2 n = 80   (1)

Again, total carbs in  2 glass of milk  = 2 x (Carbs in 1 glass of milk) =  2 m

Also, total carbs in 3 snack bars  = 3 x (Carbs in 1 snack bar) =  3 n

Here,  Total carbs in 2 milk glass + 3 snack bar  = 68

⇒ 2  m + 3 n = 68   (2)

Now, solving both the given equations by ELIMINATION, we get:

4  m + 2 n = 80  

2  m + 3 n = 68    x (-2)

we get the new set of equitation as:

4  m + 2 n = 80

- 4 m  - 6 n = -136

Adding both equation, we get

- 4 n = -56

or, n = 56 /4  =14

Now, 4  m + 2 n = 80

So, 4 m = 80   -2 (14)  = 80 - 28  = 52

⇒  m = 52/4  =  13

Hence,  the amount of carbs in 1 glass of milk = m = 13 carbs

And  the amount of carbs in 1 snack bar = n  = 14 carbs

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula