The slope for this problem is -3
To solve for x, put all of the angle measurements on one side of an equation and set it equal to 360, because the sum of any exterior angles is 360 degrees. hope this helped!
Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
Answer:
D. 2
Step-by-step explanation:
DEFG is a trapezoid and AB is its Midsegment.
Therefore,
The correct answer for the exercise shown above, is the first option (Option A), which is:
A. <span>(1+1/18)^18
The explanation is shown below:
1- You have that the number e is an irrational number, therefore, its value is aproximated:
e=2.7182
2- You have the following expressions:
</span>(1+1/18)^18=2.6464
<span>(1+1/17)^17=2.6424
</span><span>(1+1/16)^16=2.6379
</span><span>(1+1/15)^15=2.6328
Therefore the value of the expression that is closest to e is the Option A.</span>
