Answer:
.
Step-by-step explanation:
We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.
We will use volume formula of sphere to solve our given problem.
, where r is radius of sphere.
The difference of volumes would be volume of larger sphere minus volume of smaller sphere.
Therefore, the difference between volumes of the spheres is .
Given parameters:
Cost per pound of Arabica coffee = $28 per pound
Cost of Robusta coffee = $8.75
Given number of pounds of Robusta Coffee = 3 pounds
Total cost of blend per pound = $15.50
Unknown:
Number of pounds of Arabica coffee = ?
Solution:
Let the number of pounds of Arabica coffee = A;
We have to interpret this problem algebraically and solve;
28A + 8.75(3) = 15.5(A + 3)
Now solve the expression above for A;
28A + 26.25 = 15.5A + 46.5
28A - 15.5A = 46.5 - 26.25
12.5A = 20.25
A = 1.62
Number of pounds of Arabica Coffee is 1.62 pound
The product of the gift and another sum is 1 (27,18)
Answer:
x = 23
Step-by-step explanation:
A triangle contains 180°. So, simply create the equation m∠A + m∠B + m∠C = 180° and solve for x.
2x + 3x + 1 + 3x - 5 = 180
8x - 4 = 180
8x = 184
x = 23
