Answer:
x = -48, y = 25
Step-by-step explanation:
Both equations have a 5y term, we can work with that.
Let's first convert them into 5y = ... form:
2x + 5y = 29 => 5y = 29 - 2x
3x + 5y = -19 => 5y = -3x - 19
Now we can equate the right-hand sides:
29 - 2x = -3x - 19
And simplify:
29 + 19 = -3x + 2x => x = -48
Let's put this x value in the first:
2*(-48) + 5y = 29 =>
-96 - 29 = -5y =>
-5y = -125 =>
y = 25
Answer:
<h3>
2.00</h3>
Step-by-step explanation:

Answer:
1. Draw out a diagram as a triangle with one side as the 5' rise, the other side as the horizontal run, and the hypotenuse as the ramp.
2. Put the 5 ° in as the angle between the run and the ramp.
3. Let the run = x. Using trigonometry (needed!) the tangent angle (tan) of 5° = opposite/adjacent = 5/x.
4. So x = 5/tan(5°). you will need a scientific calculator to solve.
Answer:
182.41
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

40th percentile
Value of X when Z has a pvalue of 0.4. So X when Z = -0.253.




So the answer is 182.41.
1/4 because you just divde the numerator and the denominator by 12