Answer:
Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio--that is, when you divide any pair of the two values, you always get the same number k.
I know point a=1 But the others not sure
Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
Answer:
Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.
Step-by-step explanation:
Given,
Per day calorie intake limit = less than 2126 calories
Calories are already taken = 1586 calories
Calories in each fruit bar = 66 calories
Let,
x be the number of fruit bars that Ralphie's dad can consume.
Calories in each fruit bar*Number of fruit bars + calories already taken < per day limit
Dividing both sides by 66