Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.
Step-by-step explanation:
Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.
And, the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.
Which is shown by the below inequality,
----------(1)
And, 
--------(2)
By putting S = 10 and L = 4 in the inequality (1),
⇒ 
(true)
Thus, for the values S = 10 and L = 4 the inequality (1) is followed.
Again By putting S = 10 and L = 4 in the inequality (2),
⇒ 
( false)
But, for the values S = 10 and L = 4 the inequality (2) is not followed.
Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.
Answer:
135 ft^2.
Step-by-step explanation:
The total surface area
= 2 * area of the triangular sides + area of the 3 rectangular sides
= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5
= 135 ft^2.
Divide number of guitars by 100% and multiply into discount given
149/100 x 29
1.49 x 29
43.21
$43.21 had been removed
Therefore $105.79 is the guitar cost after discount
Hope it was useful ☻
The complete question is
Find the volume of each sphere for the given radius. <span>Round to the nearest tenth
we know that
[volume of a sphere]=(4/3)*pi*r</span>³
case 1) r=40 mm
[volume of a sphere]=(4/3)*pi*40³------> 267946.66 mm³-----> 267946.7 mm³
case 2) r=22 in
[volume of a sphere]=(4/3)*pi*22³------> 44579.63 in³----> 44579.6 in³
case 3) r=7 cm
[volume of a sphere]=(4/3)*pi*7³------> 1436.03 cm³----> 1436 cm³
case 4) r=34 mm
[volume of a sphere]=(4/3)*pi*34³------> 164552.74 mm³----> 164552.7 mm³
case 5) r=48 mm
[volume of a sphere]=(4/3)*pi*48³------> 463011.83 mm³----> 463011.8 mm³
case 6) r=9 in
[volume of a sphere]=(4/3)*pi*9³------> 3052.08 in³----> 3052 in³
case 7) r=6.7 ft
[volume of a sphere]=(4/3)*pi*6.7³------> 1259.19 ft³-----> 1259.2 ft³
case 8) r=12 mm
[volume of a sphere]=(4/3)*pi*12³------>7234.56 mm³-----> 7234.6 mm³
