x equals 4 and y equals 5 . so the formula would be 5x+12y=80 and if we need 4 of the small boxes we sub x for 4 and we get 5(4) =20. Next, 80 minus 20 is 60, and the equation would now be 12y=60. we now divide both sides by 12 and we get left with y=5. 5x + 12y = 80 5(4) + 12(5)=80 20+60=80. That is all. I hope that doesn't sound confusing
Answer:
she needs to earn at least $200 more to equal $2,700, so
200=x($amount of needed sales) * .06
200/.06=x
$3,333=x is sales needed to meet goal
variable is $ amount of sales needed to earn $2,700 this month.
Commission rate as decimal=.06
Inequality that represents is...
x> or = $3,333
3.2555555555556 is the answer to the problem
Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
Substitute:
Solve for <em>h: </em>
Recall that the surface area of a cylinder is given by:
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for <em>h</em>.
Find its derivative:
Solve for its zero(s):
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Answer:
30 is the correct choice.
Step-by-step explanation:
150 = {baseball} + {cricket} + {soccer} - {exactly 2 sports} - 2*{exactly 3 sports} + {none of the ports}
150 = 66 + 45 + 42 - 27 - 2*3 + {none of the ports}
--> {none of the ports} = 30
Best Regards!