Answer: 30
Step-by-step explanation:
Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.
Let x be the number of golf balls in a bag that weighs 1,110 grams.
Then we have the following direct variation equation,
Multiply 1110 both sides , we get
Hence, there are 30 balls in the bag.
Answer:
You cannot factor further.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
Tomatoes = 11.5
Onions = 2
Step-by-step explanation:
Andre wants to purchase some onions and tomatoes to make tomato soup. The recipe states that four times the number of tomatoes, , plus five times the number of onions, x, should produce 56 bowls of tomato soup. A different recipe states that two times the number of tomatoes used minus the number of onions used should produce 21 bowls of tomato soup. What is the resulting recipe for the number or tomatoes and onions used in the soup when Andre adds the two recipes together?
Let
Tomatoes = x
Onions = y
Recipe 1:
4x + 5y = 56
Recipe 2:
2x - y = 21
4x + 5y = 56 (1)
2x - y = 21 (2)
Multiply (2) by 5
4x + 5y = 56 (1)
10x - 5y = 105 (3)
Add
10x + 4x = 105 + 56
14x = 161
x = 161 / 14
= 11.5
Substitute x =11.5 into
2x - y = 21
2(11.5) - y = 21
23 - y = 21
-y = 21 - 23
-y = -2
y = 2
Tomatoes = 11.5
Onions = 2