Answer:
9
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 opposite interior angles, therefore:
9x + 9 = 45 × 5x
4x = 36
x = 9
<h3>The absolute error is 6</h3><h3>The percent error is 16.22 %</h3>
<em><u>Solution:</u></em>
Given that,
Actual volume of his bathtub is 37 gal
Estimate is 31 gal
<em><u>Find the absolute error</u></em>
Absolute Error = | Measured Value - Actual Value |
Absolute Error = | 31 - 37 |
Absolute Error = 6
<em><u>Find the percent error</u></em>
![Percent\ error = \frac{\text{estimate - actual}}{actual} \times 100](https://tex.z-dn.net/?f=Percent%5C%20error%20%3D%20%5Cfrac%7B%5Ctext%7Bestimate%20-%20actual%7D%7D%7Bactual%7D%20%5Ctimes%20100)
Substituting we get,
![percent\ error = \frac{31-37}{37} \times 100\\\\percent\ error = \frac{-6}{37} \times 100\\\\percent\ error = -16.22](https://tex.z-dn.net/?f=percent%5C%20error%20%3D%20%5Cfrac%7B31-37%7D%7B37%7D%20%5Ctimes%20100%5C%5C%5C%5Cpercent%5C%20error%20%3D%20%5Cfrac%7B-6%7D%7B37%7D%20%5Ctimes%20100%5C%5C%5C%5Cpercent%5C%20error%20%3D%20-16.22)
Negative sign means percent decrease
Thus percent error is 16.22 %
<em>The question doesn't ask anything in particular, I will show the set of inequalities defined in the problem.</em>
Answer:
<em>System of inequalities:</em>
![6c+4t\leq 300](https://tex.z-dn.net/?f=6c%2B4t%5Cleq%20300)
![c>0\\t > 0\\c+t\geq 60](https://tex.z-dn.net/?f=c%3E0%5C%5Ct%20%3E%200%5C%5Cc%2Bt%5Cgeq%2060)
Step-by-step explanation:
<u>Inequalities
</u>
The express relations between expressions with a sign other than the equal sign. Common relationals are 'less than', 'greater than', 'not equal to', and many others.
The gardening club at school has 300 square feet of planting beds to plant cucumber and tomato. Each cucumber plant requires 6 square feet of growing space and each tomato plant requires 4 square feet of growing space. We know the total area cannot exceed 300 square feet, so
![6c+4t\leq 300](https://tex.z-dn.net/?f=6c%2B4t%5Cleq%20300)
Being c and t the number of cucumber and tomato plants respectively.
We also know the students want to plant some of each type of plant and have at least 60 plants. This lead us to more conditions
![c>0\\t > 0\\c+t\geq 60](https://tex.z-dn.net/?f=c%3E0%5C%5Ct%20%3E%200%5C%5Cc%2Bt%5Cgeq%2060)
<em>Note: The set of inequalities shown is not enough to uniquely solve the problem. We need something to maximize or minimize to optimize c and t</em>
Answer:
2x + y = 2.
Step-by-step explanation:
First find the slope of the required line by writing the line 2x + y = -5 in slope intercept form:
2x + y = -5
y = -2x - 5
- so the slope is -2.
Therefore the required equation is
y = -2x + 2 (where 2 is the y-intercept).
Converting to standard form:
y = -2x + 2
2x + y = 2.
5*10^3 * 5*10^7= 5*5 *10^3*10^7=25*10^10
Generally u are allowed to leave it as it is but if no
25*10^10=25 * 10000000000 = 250000000000
Here u are!