When planning his crops, farmer joe knows that his 5 acres can support corn and strawberries. he wants to make $5,500 from his crops. he can make $1,000 per acre of corn (the variable c) and $1,500 per acre of strawberries (the variable s). which equation below would be a constraint in his system of equations?

c + s = 5
c − s = 5
1,500c + 1,000s = 5,500
1,500s − 1,000c = 5,500

Which statement about the relative areas of ? abc and ? xyz is true? the area of ? abc > the area of ? xyz the area of ? abc < the area of ? xyz the area of ? abc = the area of ? xyz more information is needed to compare.

One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.