1/4 +1/4= 1/2
6g +6g= 12g
there is 12 grams of fat in 1/2 cup of cheese
2.975 round up to 3.
2.975 rounded up to the nearest hundredths is 2.98
2.975 rounded up to the neared tenths will automatically be 3. because 0.97 rounded up to the neared tenths will result to 1.0.
2.975 rounded up to the nearest ones is 3.
Any number that must be rounded to the nearest place must be aware of the number next to it. If the following number is 5 and up, the number place is rounded up. If the next number is 4 and below, the number place is rounded down.
We need to solve the net volume of the given problem and we have 6 total rectangles with areas. Solving for the volume we have:
Length = 6 yard
width = 4 yard
height = 2 yard
Solving for the volume, we have:
Volume = 6 x 4 x 2
Volume = 48 yard³
The answer is 48 yard³.
Combine the 2nd and 3rd equations. 3x will disappear:
2y + 5z = 7 This is true for any y and z, and is independent of x.
7-5z
Solving for y, 2y = 7 - 5z, so that y = ---------
2
We have to eliminate x again by using the 1st and 2nd equations:
-2x - 6y - 2z = -2. We want the coeff. of x in the first eqn to be -3.
Therefore, mult. all terms of -2x - 6y - 2z = -2 by 3/2:
(3/2)(-2x - 6y - 2z = -2) = -3x -9y -3z =-3
Now add this version of the 1st row to the 2nd row:
-3x -9y -3z =-3
3x +2y +5z = 7
----------------------
-7y + 2z = 4
7 - 5z
We found earlier that y = ----------, and can elim. y by subst. this fraction into
2
-7y + 2z = 4. Then -7y + 2z = 4 becomes -7( (7-5z)/2 ) + 2Z = 4.
Elim. the fraction by mult. all terms by 2:
-7(7-5z) + 4z = 8 which becomes -49 + 35z + 4z = 8
so that 39z = 57, and so z = 57/39.
Subst. this back into -7y + 2z = 4 to calculate y. Make a final subst. to calculate x.
Given the choice, I would solve this system using matrices.
Turns out that the solution, using matrices, does not exist.
