Answer:
A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
Step-by-step explanation:
Solve for m:
1/4 = m/24
1/4 = m/24 is equivalent to m/24 = 1/4:
m/24 = 1/4
Multiply both sides of m/24 = 1/4 by 24:
(24 m)/24 = 24/4
(24 m)/24 = 24/24×m = m:
m = 24/4
24/4 = (4×6)/4 = 6:
Answer: m = 6
Answer:
5 more games to be won for the 50% success rate.
Step-by-step explanation:
Total number games played = 500
Number of successful games = 49% of 500
= 500 × 
= 245
Number of successful games for the success of 50% = 500 × 
= 250
Therefore, number of game you have to win more = 250 - 245
= 5 games
Answer:
The number of pounds of cashew is 11
Step-by-step explanation:
Let P represent the peanut
Let C represent the cashew nut.
From question, we were told that Elijah brought a total of 16 pounds of peanuts and cashew nuts. This can be written as:
P + C = 16 (1)
The total cost = $49.50
Cost per peanut = $2.75
Cost per cashew = $3.25
The above can be represented as:
49.50 = 2.75P + 3.25C. (2)
From equation 1,
P + C = 16
P = 16 — C
Substitute the value of P into equation 2:
49.50 = 2.75P + 3.25C.
49.50 = 2.75(16 — C) + 3.25C
49.50 = 44 — 2.75C + 3.25C
49.50 = 44 + 0.5C
Collect like terms
49.50 — 44 = 0.5C
5.5 = 0.5C
Divide both side by 0.5
C = 5.5/0.5
C = 11
Therefore, the number of pounds of cashew is 11
