The complete question is
"The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.
Gum Packages of gum Pieces of gum
1
15
2
30
3
45
4
?
How many pieces of gum are in 4 packages of gum?"
Using a proportional function, there are 60 pieces of gum in 4 packages.
<h3>What is a proportional relationship?</h3>
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
The constant is given by:
k = 15/1
k = 30/2
k = 45/3
k = 15.
Therefore, the number of pieces of gums in x packages is given by:
y = 15x.
In 4 packages:
y = 15 x 4
y = 60 pieces of gum.
Using a proportional function, there are 60 pieces of gum in 4 packages.
More can be learned about proportional functions at brainly.com/question/10424180
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Answer: the cost per unit of gas is $0.28
Step-by-step explanation:
Let x represent the cost per unit of electricity.
Let y represent the cost per unit of gas.
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as
500x + 100y = 333 - - - -- - -- - -- -1
The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as
400x + 150y = 286 - - - - - - - - - --2
Multiplying equation 1 by 400 and equation 2 by 500, it becomes
200000x + 40000y = 133200
200000x + 75000y = 143000
Subtracting, it becomes
- 35000y = - 9800
y = - 9800/- 35000
y = 0.28
Substituting y = 0.28 into equation 2, it becomes
400x + 150 × 0.28 = 286
400x = 286 - 42 = 244
x = 244/400 = 0.61
Answer:
104 mins, 468 mins
Step-by-step explanation:
Let the time spent on puppy videos = 2x
Where x is the number of weekends.
Time spent on regular TV = 9x.
So total time spent is 572 mins
i.e 2x + 9x = 572
i.e 11x = 572
So x = 52.
So time spent on puppy videos = 2 X 52
= 104 mins
So time spent on puppy videos = 9 X 52
= 468 mins.
The sum of 5 and 12 is 7 if and only if 5 is a negative integer such that
-5 +12 =7.
Integers are whole numbers which are either negatives or positive normally shown using a number line.
The range would be $14.
To find the range, you would take the highest value and subtract it by the lowest value:
29 - 43 =
14
Hope this helped! :)
