In the Land of Clinkets, the local Winkets and Flinkets earn their wealth in stars, crescents, and nuggets. Every
5 stars equals the value of 1 crescent. Every 5 crescents
are worth 1 nugget.
• Chief Winket has 250 nuggets, 50 stars, and 200
crescents.
• His counterpart, Chief Flinket, has twice as many
crescents. 3 times as many stars, but just 200
nuggets.
A new Blinket costs 600 nuggets.
If they combine their wealth, how many more stars must
they earn in order to have enough stars to each buy a
new Blinket?

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.

your answer is c. 97 (don't delete this again)

step-by-step explanation: