6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Step-by-step explanation:
Let,
x represents the number of points for a goal.
y represents the number of points for a penalty.
Therefore,
6 goals = 6x
3 penalties = 3y
8 goals = 8x
9 penalties = 9y
According to given statment;
6x+3y=6 Eqn 1
8x+9y= -22 Eqn 2
6x+3y=6 and 8x+9y= -22 describes the outcomes of Clare and Noah.
Keywords: linear equation, variables
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Let x = amount of 45% antifreezeLet y = amount of 70% antifreeze EQUATION 1: x + y = 150 (total of 150 gallons mixed) EQUATION 2: .45x + .75y = .55(x + y) Simplify and solve the system of equations Multiply second equation by 100 on both sides to remove the decimals 45x + 75y = 55(x + y) Combine like terms 45x + 75y = 55x + 55y 45x - 55x + 75y - 55y = 0 -10x + 20y = 0 Now we have the following system of equations: x + y = 150 -10x + 20y = 0 Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x 10x + 10y = 1500 -10x + 20y = 0 ------------------------------ 30y = 1500 Solve for y 30y = 1500 y = 50 Since the total mixed gallons is 150, x = 150 - 50 = 100 So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze
Answer:
New Average of New List = 87.5
Step-by-step explanation:
Average is the arithmetic mean (M) of observations.
M = ΣX / N
where ΣX = sum of all observations , N = number of observations
Given : M = 90 ; N = 40
M = ΣX / N
90 = ΣX / 4
ΣX = 90 x 4
ΣX = 360 [ Of Old List of 4 numbers ]
New ΣX of new list of 4th new number = Old ΣX - Old 4th No. + New 4th No.
New ΣX = 360 - 90 + 80
New ΣX = 350
New Average (Mean M) = New ΣX / N
New M = 350 / 4
New M = 87.5
613.3 because if u divide 16.15 and 3,772 u get that number hope im brainliest