Response:
If there are "p" pounds of peanuts and "m" pounds of a mixture containing '20% peanuts and 80% almonds', then we can formulate the following equations:
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
The solution yields 5 lb peanuts and 5 lb mixture.
Detailed explanation:
In the mixture that Delaney desires to create, there will be
lb
= 6 lb of peanuts
Thus, there will be (10 - 6) lb
= 4 lb of almonds
If Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then based on the problem statement,
p + m = 10 -----------(1) and
4m/5 = 4 ------------(2)
From equation (2), we derive
m = 5 --------------(3)
From (1) and (3), we find that
p = (10 - 5) = 5
I think the right answer is D. 8x+8;
This is because Frank possesses X stamps while Chris has 8 plus 7 times the number of stamps Frank holds, making the total 8 + 7x (which is 7 times Frank's amount), so when you add Frank's stamps (x) to 8 + 7x, it results in 8 + 8x.
I hope this was helpful!
The price for 3 sandwiches amounts to $18. Since the cost, c, of a ham sandwich directly correlates with the quantity, n, and is told that c equals $54 for 9 sandwiches, the cost per sandwich is $6. Multiplying $6 by 3 gives a total of $18.
<span>With AB tangent at D, where AD = OD = 4
, triangle OAD forms a right angle with sides measuring 4 and 4.
So, the area of triangle OAD is computed as 1/2 * 4 * 4 = 8
The angles AOD and DAO equal 45 degrees.
Therefore, the area of circular sector OCD is calculated as the area of circle O multiplied by 45/360
= pi * 4 * 4 * 45/360
= 2pi
The shaded area ACD results from the triangle OAD minus the area of circular sector OCD
= 8 - 2pi
= 1.72
</span>
