Fred's restaurant is famous for its fresh fruit smoothies . Fred's recipe calls for 1/3 of an apple, 1/4 of a lemon, and 2/3 of a peach to make a single smoothie . A family of 6 arrives at fred's restaurant. How much of each fruit does fred need to make smoothies for entire family?

2 apples, 1 1/2 lemon and 4 peach

Step-by-step explanation:

Fruits used for Fred's recipe fur a single smoothie:

Apple = 1/3

Lemon = 1/4

Peach = 2/3

When the family of 6 arrived, the fruits needed to make smoothies for entire family will be:

Apple = 1/3 × 6 = 2

Lemon = 1/4 × 6 = 1 1/2

Peach = 2/3 × 6 = 4

for any of you who need the translation here it is

step-by-step explanation:

find the angular size of the equatorial radius of the earth, if the horizontal parallax of the sun

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°