Answer: Choice B) (24,10)
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Work Shown:
2x - 4y = 8
2( x ) - 4y = 8
2( 3y-6 ) - 4y = 8 ... notice x has been replaced with 3y-6
2(3y)+2(-6) - 4y = 8
6y-12 - 4y = 8
2y-12 = 8
2y-12+12 = 8+12 ... add 12 to both sides
2y = 20
2y/2 = 20/2 ... divide both sides by 2
y = 10
If y = 10, then
x = 3y-6
x = 3*10-6 ... replace y with 10
x = 30-6
x = 24
Put together, the solution is (x,y) = (24,10)
which is why the answer is choice B
As a check, we can plug (x,y) = (24,10) into each equation
x = 3y-6
24 = 3*10 - 6
24 = 30 - 6
24 = 24 ... true equation
and similarly for the second equation as well
2x-4y = 8
2*24 - 4*10 = 8
48 - 40 = 8
8 = 8 ... true equation
Both equations are true when (x,y) = (24,10) so the solution is confirmed
Answer:
14641
Step-by-step explanation:
C. 38,200 ft^3
Why you ask? Good question, how you solve volume is l•w•h=v (length•width•height=volume) so it was 60•45.5•14=38,200
Hope this helps!
Answer:
The Probability = 0.16
Step-by-step explanation:
Empirical rule formula states that:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
Average = 13.1 years
Standard deviation = 1.5 years
x = 14.6 years
= 14.6 -13.1/1.5
= 1
This falls within 1 standard deviations of the mean
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
Hence:
100 - 68%/2 = 32/2 = 16%
Converting to probability = 0.16
The probability of a meerkat living longer than 14.6 years is 0.16
Answer:
Step-by-step explanation:
As you can see, this is a quadratic equation and if you were to graph this you would see that it is a parabola that opens down because of the negative leading coefficient (-34). The maximum profit would be at the vertex, of the graph. Therefore, we need to find the value of "y" when "x" is the line of symmetry. We find this by x=-b/(2a) where a = -34 and b = 1542:
x=-1542/(2)(-34)
x=-152/-68
x=152/68
We put this value of "x" into the original formula to find out the value of "y":
y=-34x^2+1542x-10037
y=(-34)(1542/68)^2+1542(1542/68)-10037
y= -17483.5588235 + 34967.1176471 -10037
y=7446.5588236
Therefore, the maximum profit would be $7446.56.
Hope this helps!
PLS MARK BRAINLIEST THIS TOOK A LOT OF TIME
