A factory produces 5-packs of pencils. To be within the weight specifications, a pack of 5 pencils should weigh between 60 grams and 95 grams. The cardboard for each package has a mass of 15 grams. Write a compound inequality to represent of a single pencil in a pack. Can each pencil have a mass of 10.5 grams?
1 answer:
Given: 1 pack = 5 pencils and cardboard. 1 pack must be between 60 grams and 95 grams 60g < x < 95g ; where x represents 1 pack. Card board: 15 grams. 95g - 15g = 80g maximum total weight of 5 pencils 80g / 5 = 16g maximum weight of a single pencil 60g - 15g = 45g minimum total weight of 5 pencils 45g / 5 =9g minimum weight of a single pencil 9 < x < 16 ; where x represents a single pencil in the pack.
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Answer:
$12,000
Step-by-step explanation:
Use the simple interest formula: P = A(1 + rt)
P = final balance (?)
A = starting balance (10,000)
r = interest rate (0.05)
t = years (4)
P = 10,000(1 + 0.05 · 4)
P = 10,000(1 + 0.2)
P = 10,000(1.2)
P = 12,000
The number is 200 . 10 is 5% of 200
Answer:
43 if you follow the steps of PEMDAS
Step-by-step explanation:
9x5=45. 8÷4=2. 45-2=43
Hope this helps!
Answer:
(8,10) is not a solution
Step-by-step explanation:
Cuz it’s not on both inequality shaded part but just one of them and also when we substitute one is true and the other one is false
2x + y _< 8
2(8) + 10 _< 8
18 + 10 _< 8
28 _< 8 false
X + y _> 4
8 + 10 -> 4
18 _> 4 true
X intercept would mean plug in 0 for Y. Then finding the y intercept would mean X is 0. Your answer will be 69420