Answer:
480 different sandwiches
Step-by-step explanation:
To find how many sandwiches can be made, we need to find the number of possibilities for each choice: bread, protein, cheese, vegetables.
Bread: 3 types -> combination of 3 choose 1 -> 3
Protein: 4 types -> combination of 4 choose 1 -> 4
Cheese: 4 types -> combination of 4 choose 1 -> 4
Vegetables: 5 types -> combination of 5 choose 2 -> 5!/(3!*2!) = 5*4/2 = 10
So the number of different sandwiches is:
3 * 4 * 4 * 10 = 480
a 1.25L Coca Cola that cost $1.29
Unit rate means we need to find the rate of 1 liter of Coca Cola
1.25 L Coca Cola = $1.29
1 L of Coca Cola = ?
To find 1 liter of Coca cola divide the cost by liter, so we divide 1.29 by 1.25
1.032
So the cost of 1 liter of Coco Cola = $1.032
Answer:
Angle x is 64 degrees. Angle y is 128.
Step-by-step explanation:
To find angle x:
In an isosceles triangle, the base angles are always congruent (equal). Since we know that one of the base angles is 64, and x is also a base angle, x is 64 degrees as well.
To find angle y:
Again, in an isosceles triangle, the base angles are always congruent. Since we know that one of the base angles is 26, we know that the other base angle is also 26. Then, to find the last angle (y), you use the triangle angle sum theorem which states that all angles in a triangle add up to 180. To figure out angle y, you do 180-26-26 to get 128. So angle y is 128 degrees.
y = 3
The opposite sides of a rectangle are equal thus
2y + 4 = 10
subtract 4 from both sides
2y = 10 - 4 = 6
divide both sides by 2
y = 
= 3
