Answer:
Step-by-step explanation:
D. the number of people eating a pizza and the number of slices per person. As this number increases, the number of slices each person can take drops.
Answer:
121
Step-by-step explanation:
All of the sides should add up to 900. 121 does that
The values of the variables are x = -2, y = 6 and z = -3
<h3>How to solve by elimination?</h3>
The system is given as:
4x + 2y - 2z = 10 (A)
2x + 8y + 4z = 32 (B)
30x + 12y - 4z = 24 (C)
The easiest variable to eliminate is z.
Combine A and B
2[4x + 2y - 2z = 10]
⇒
8x + 4y - 4z = 20
+ 2x + 8y + 4z = 32
⇒ 10x + 12y = 52
Combine B and C
2x + 8y + 4z = 32
30x + 12y - 4z = 24
⇒ 32x + 20y = 56
Divide through by 4
8x + 5y = 14
So, we have:
10x + 12y = 52
and
8x + 5y = 14
Multiply 10x + 12y = 52 by 8/10
8/10[10x + 12y = 52]
⇒ 8x + 9.6y = 41.6
Combine 8x + 9.6y = 41.6 and 8x + 5y = 14
8x + 9.6y = 41.6
- [8x + 5y = 14]
⇒ 4.6y = 27.6
Divide
y = 6
Substitute y = 6 in 8x + 5y = 14
8x + 5 * 6 = 14
8x + 30 = 14
Subtract 30
8x = -16
Divide
x = -2
Substitute y = 6 and x = -2 in (A)
4x + 2y - 2z = 10
4(-2) + 2(6) - 2z = 10
-8 + 12- 2z = 10
Evaluate the like terms
-2z = 6
Divide
z = -3
Hence. the values of the variables are x = -2, y = 6 and z = -3
Read more about system of equations at:
brainly.com/question/12895249
#SPJ1
9514 1404 393
Answer:
D
Step-by-step explanation:
Any equation that does not have y2 as the first term in the second set of parentheses will be incorrect.
The correct usage is shown in equation D.
Answer:
140 child tickets were sold
Step-by-step explanation:
a = number of adult tickets
c = number of child tickets
a+c = 350
6.50 c + 8.50a = 2695
Multiply the first equation by -8.50 together
-8.50c -8.50c =-2975
Add this to the second equation to eliminate a
-8.50c -8.50c =-2975
6.50 c + 8.50a = 2695
---------------------------------
-2c + 0a = -280
Divide by -2
-2c/-2 = -280/-2
c = 140