Certainly! Let's break down each of the problems with detailed, step-by-step solutions.
### Problem 1: Perimeter of the triangle
1. To find the perimeter of a triangle with sides [tex]\( 5 \frac{1}{2} \)[/tex] cm, [tex]\( 7 \frac{3}{5} \)[/tex] cm, and [tex]\( 3 \frac{1}{4} \)[/tex] cm, we first convert each mixed number to improper fractions or to their decimal equivalents.
2. [tex]\( 5 \frac{1}{2} \)[/tex] can be converted to 5.5 cm
[tex]\( 7 \frac{3}{5} \)[/tex] can be converted to 7.6 cm
[tex]\( 3 \frac{1}{4} \)[/tex] can be converted to 3.25 cm
3. Add these values to find the perimeter:
[tex]\[
5.5 + 7.6 + 3.25 = 16.35 \text{ cm}
\][/tex]
So, the perimeter of the triangle is [tex]\( \boxed{16.35 \text{ cm}} \)[/tex].
### Problem 2: Total mixture for making palamig
1. To find the total mixture of pineapple juice and water, we convert the quantities to their decimal equivalents.
2. [tex]\( 2 \frac{1}{2} \)[/tex] can be converted to 2.5 pitchers
[tex]\( 4 \frac{3}{4} \)[/tex] can be converted to 4.75 pitchers
3. Add these values to get the total mixture:
[tex]\[
2.5 + 4.75 = 7.25 \text{ pitchers}
\][/tex]
So, the total mixture is [tex]\( \boxed{7.25 \text{ pitchers}} \)[/tex].
### Problem 3: Total cups of flour needed
1. To find the total cups of flour needed for making puto and kutsinta, we convert the quantities to their decimal equivalents.
2. [tex]\( 3 \frac{2}{5} \)[/tex] can be converted to 3.4 cups
[tex]\( 5 \frac{1}{4} \)[/tex] can be converted to 5.25 cups
3. Add these values to get the total flour needed:
[tex]\[
3.4 + 5.25 = 8.65 \text{ cups}
\][/tex]
So, the total cups of flour needed is [tex]\( \boxed{8.65 \text{ cups}} \)[/tex].
Each problem above has been carefully resolved by converting mixed numbers to decimals and then summing them up to get the desired result.
