Answer: 31 nickels and 29 dimes
<u>Step-by-step explanation:</u>
Nickels (.05): x
Dimes (.10): y
Value: .05x + .10y = 4.45 → -20(.05x + .10y = 4.45) → -x - 2y = -89
Quantity: x + y = 60 → 1(x + y = 60) → <u> x + y </u> = <u> 60 </u>
-y = -29
y = 29
Next, substitute "29" for "y" into either equation and solve for "x":
x + y = 60
x + 29 = 60
x = 31
The correct answer here would be D. -1(3x+1)(x+5). You can find this answer by redistributing the problem.
-1(3x+1)(x+5)
-1(3x²+15x+1x+5)
-1(3x²+16x+5)
-3x²-16x-5
Using the math above, we can see that when we redistribute we get the original equation. That makes Choice D correct.
Answer:
why in kilometers? 87.3 km/h
Answer:
C. 95%
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1189 points, standard deviation of 397 points.
Percentage between 395 and 1983 points?
395 = 1189 - 2*397
1983 = 1189 + 2*397
So within 2 standard deviations of the mean, which by the Empirical Rule is approximately 95%, and the answer is option C.
Answer: 21.182
Step-by-step explanation:
