As the question is written, the <em>correct answer</em> is:
19519.
Explanation:
Our question states
y = 143.3(5)² + 1823.3(5) + 6820
To evaluate this, we use the order of operations (PEMDAS). There is nothing to be evaluated in parentheses, so P is taken care of.
The E part, exponents, is 5². This is 25, which gives us:
y = 143.3(25) + 1823.3(5) + 6820
Next we have M and D, multiplication and division (in the order they appear). Our multiplication is:
143.3(25) = 3582.5; and
1823.3(5) = 9116.5.
This gives us:
y = 3582.5 + 9116.5 + 6820
Lastly, we add these:
y = 12699 + 6820
y = 19519
Answer: x = 0
y = 2
z = -1
Step-by-step explanation:
The system of equations are
x+y+z=1 - - - - - - - - - - 1
-2x+4y+6z=2 - - - - - - - - - 2
-x+3y-5z=11 - - - - - - - - - 3
Step 1
We would eliminate x by adding equation 1 to equation 3. It becomes
4y -4z = 12 - - - - - - - - - 4
Step 2
We would multiply equation 1 by 2. It becomes
2x + 2y + 2z = 2 - - - - - - - - - 5
We would add equation 2 and equation 5. It becomes
6y + 8z = 4 - - - - - - - - - 6
Step 3
We would multiply equation 4 by 6 and equation 6 by 4. It becomes
24y - 24z = 72 - - - - - - - - 7
24y + 32z = 16 - - - - - - - - 8
We would subtract equation 8 from equation 7. It becomes
-56z = 56
z = -56/56 = -1
Substituting z = -1 into 7, it becomes
24y - 24×-1 = 72
24y + 24 = 72
24y = 72 - 24 = 48
y = 48/24 = 2
Substituting y = 2 and z = -1 into equation 1, it becomes
x + 2 - 1 = 1
x = 1 - 1 = 0
Answer is -1/3
you would divide both sides by 18 to get the variable on its own and that would leave you with -6/18 and so you have to simplify it by dividing the numerator and denominator by the greatest common factor (6) to get your remaining simplified fraction of -1/3
Answer:
51
Step-by-step explanation:
5 students travelled by car , leaving 158 - 5 = 153 students to travel by bus.
153 students travelled in 3 full buses, therefore
153 ÷ 3 = 51 students in each bus
