Awoodworking artist makes two types of carvings type x and type y he spends 2 hours making each type x carving and 3 hours making each type y carving and he can spend up to 30 hours each week making carvings his materials cost him $6 for each type x carvings and $4 for each type y carving and he must keep his weekly cost for materials to 120 or less if x is the number of type x carvings he makes in a week and y is the number of type y carvings he makes in a week, which of the following systems of inequalities models this situation?

Solution:

Number of carving made = Two Types X and Y

x = number of Type X carvings artist makes in a week and

Y = the number of type y carvings Artist makes in a week

Artist spends 2 hours making each type X carving and 3 hours making each type y carving and he can spend up to 30 hours each week making carvings.

Above Statement in terms of equation

1. 2 X + 3 Y ≤ 30

Artist materials cost him $6 for each type X carvings and $4 for each type y carving and  weekly cost for materials to 120 or less.

Above Statement in terms of equation

2. 6 x + 4 y ≤ 120

For the situation Described , the inequality will be

1. X > 0

2. Y > 0

3.  2 X + 3 Y ≤ 30

4.  6 x + 4 y ≤ 120

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

irrational, cannot