Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
Answer:
Hector collected about 14.33 cans, Jonas collected about 14.83 cans and Sherrie collected about 18.83 cans
Step-by-step explanation:
Hector: 86 cans divided by 6 hours equals 14.33....... cans which is rounded.
Jonas: 89 cans divided by 6 hours equals 14.83......cans which is rounded.
Sherrie: 113 cans divided by 6 hours equals 18.83......cans which is rounded.
Answer:
The least number of calories possible in a package is 129 calories.
Step-by-step explanation:
We can write equations to representeach requirement of the snack.
Fruit:0 protein
2 carb
1 fat
18 cal
Nuts: 3 prot
1 carb
2 fat
28
The amount of protein contained in the final snack will be: the sum of the amount of ounces of fruit (and nuts) times the amount of protein pero ounce of fruit(and nuts). So for N, M integers or decimals:
Protein=N*0 carbs+M*3 carbs , this means that fruit doesn't affect protein content.
Similarly we write the other requirements as inequalities:
a.Protein≥9 → N*0+M*3≥9
b.Carbs≥8 → N*2+ M*1≥8
c.Fat≤9 → N*1+M*2≤9
d. Cal=N*18+M*28
From a we get M≥3
Replacing M in b, N≥2.5.
And finally we replace in c to have a maximum amount.
2.5+2*3≤9
8.5<9 so this is the least amount of ounces in a package, avaluating how many calories each component contributes:
Least amount of calories: 18*2.5+28*3=129cal
Answer: it think its 60
Step-by-step explanation:
