Answer:
120 gumballs
Step-by-step explanation:
Let
x = total gumballs
Buddy = 1/2x
Balance = x - 1/2x
= 2x-x/2
= 1/2x
Miranda = 1/2 of 1/2x
= 1/2 × 1/2x
= 1/4x
Balance = 1/2x - 1/4x
= 2x-x/4
= 1/4x
Zack = 1/2 of 1/4x
= 1/2 × 1/4x
= 1/8x
Balance = 1/4x - 1/8x
= 2x-x/8
= 1/8x
His sister = 5
Balance = 1/8x -5
10 = 1/8x - 5
10 + 5 = 1/8x
15 = 1/8x
x = 15 ÷ 1/8
= 15 × 8/1
= 120
x = 120 gumballs
Answer:
Step-by-step explanation:
Given
Solving (a): The possible coordinates
We have:
This gives:
<em>(-2,8) is a point on the grid</em>
This gives:
<em>(7,5) is a point on the grid</em>
This gives:
<em>(-5,5) is a not point on the grid</em>
<em></em>
This gives:
<em>(1,3) is a not point on the grid</em>
This gives:
(1,7) is a point on the grid
So, we plot the following on the grid
See attachment
Answer:
The solution is (-2, 5, 3)
Step-by-step explanation:
2x + 3y - 4z = -1
2(-2) + 3(5) - 4(3) = -1
-4 + 15 - 12 = -1
-16 + 15 = -1
-1 = -1
x - 2y + 5z = 3
-2 - 2(5) + 5(3) = 3
-2 - 10 + 15 = 3
- 12 + 15 = 3
3 = 3
-4x + y + z = 16
-4(-2) + 5 + 3 = 16
8 + 5 + 3 = 16
16 = 16
Therefore, (-2, 5, 3) is a solution.
2x + 3y - 4z = -1
2(-3.6) + 3(0.2) - 4(1.4) = -1
-7.2 + 0.6 - 5.6 = -1
-12.8 + 0.6 = -1
-12.2 = -1
x - 2y + 5z = 3
-3.6 - 2(0.2) + 5(1.4) = 3
-3.6 -0.4 + 7 = 3
-4 + 7 = 3
3 = 3
-4x + y + z = 16
-4(-3.6) + 0.2 + 1.4 = 16
14.4 + 0.2 + 1.4 = 16
16 = 16
(-3.6, 0.2, 1.4) is not a solution.
2x + 3y - 4z = -1
2(2) + 3(5) - 4(-3) = -1
4 + 15 + 12 = -1
31 = -1
x - 2y + 5z = 3
2 - 2(5) + 5(-3) = 3
2 - 10 - 15 = 3
2 - 15 = 3
13 = 3
-4x + y + z = 16
-4(2) + 5 + -3 = 16
-8 + 5 - 3 = 16
-11 + 5 = 16
-6 = 16
(2, 5, -3) is not a solution.
2x + 3y - 4z = -1
2(4) + 3(-7) - 4(-3) = -1
8 - 21 + 12 = -1
-21 + 20 = -1
-1 = -1
x - 2y + 5z = 3
4 - 2(-7) + 5(-3) = 3
4 + 14 - 15 = 3
18 - 15 = 3
3 = 3
-4x + y + z = 16
-4(4) - 7 - 3 = 16
-16 - 7 - 3 = 16
-26 = 16
(4, -7, -3) is not a solution.
The answer to the question is D
