Answer: the missing values are 7, 28 and 14
Step-by-step explanation:
In a proportional relationship, there is a constant relationship between the given variables. Thus, for any change in the value of one variable, there is a corresponding change in the value of the other variable.
The table shows a proportional relationship between values of servings
12 ,4 16 ,8
and values of ounces
21 ? ? ?
Let the missing values be x, y and z
Therefore,
21/12 = x/4
1.75 = x/4
x = 4 × 1.75
x = 7
21/12 = y/16
y = 16 × 1.75 = 28
21/12 = z/8
z = 1.75 × 8 = 14
Answer:
3X - 2
Step-by-step explanation:
Substracte each term individually
When you use the Distributive Property, we will find...
5x - 4 = -6x - 4
Eliminate 4 by adding it to both sides.
5x = -6x
Add 6x to both sides and we get 11x = 0.
11x = 0
Divide both sides by 11.
x=0
The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.
For this problem:
3(2x − 4) = 5x − 1
Distribute
6x - 12 = 5x - 1
Add 1 to both sides
6x - 11 = 5x
Subtract 6x from both sides
-11 = -x
Divide both sides by -1.
x = 11.
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Given : y = 8 - 9x
(a) we need to find value of y when x = 2
substituting x = 2 in y = 8 -9x , we get :
y = 8 - 9(2)
y = 8 - 18
y = -10
(b) we need to find value of y when x = 0
substituting x = 0 in y = 8 -9x , we get :
y = 8 - 9(0)
y = 8 - 0
y = 8
The number would be 18.
Half of 18 = 9
Two thirds of 18 = 12
9 + 12 = 21