Answer:
The line passes through (4, -7) and (5, -10).
Step-by-step explanation:
When x = 4, y = 5 - 3(4), or 5 - 12, or -7. Thus the point (4, -7) lies on the graph. Similarly y = 5 - 3(5) = -10 when x = 5. Thus, the line also goes through (5, -10). Plot these two points and draw a line through them. Doing this will result in the desired graph.
Let x represent the number of pounds of $10.75/lb coffee used in the mix.
.. 10.75x +3.25(100 -x) = 5.65*100 . . . . . . total cost of coffee blend
.. x(10.75 -3.25) = 100*(5.65 -3.25) . . . . . .separate x-terms from non-x terms
.. x = 240/7.5 = 32
32 pounds of $10.75/lb coffee should be used
68 pounds of $3.25/lb coffee should be used
Answer:
The cubed root of four hundred and forty-eight ∛448 = 7.6517247310896
Step-by-step explanation: Step by step simplification process to get cube roots radical form and derivative:First we will find all factors under the cube root: 448 has the cube factor of 16.Let's check this width ∛16*7=∛448. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛16 * ∛7. Cube of ∛16=4 which results into 4∛7All radicals are now simplified. The radicand no longer has any cube factors.
1. Area of a circle is pi x R^2
Area = 3.14 x 18^2
Area = 3.14 x 324= 1017.36 sq. In.
The blade covers 122 out of 360 degrees.
1017.36 x 122/360 = 345 square inches.
2.
Like above.
Area =3.14 x 75^2 = 17,662.5 square feet
17662.5 x 80/360 = 3,925 square feet.