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Answer:
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Step-by-step explanation:
Answer: the mixture contained 15 pounds of white chocolate and 5 pounds of dark chocolate.
Step-by-step explanation:
Let x represent the number of pounds of white chocolate in the candy shack mixture.
Let y represent the number of pounds of dark chocolate in the candy shack mixture.
The candy shack has 20 lb of mixed white and dark chocolate. This means that
x + y = 20
The 20lb mixture is worth $7.50 per pound. This means that the total cost of the mixture is
20 × 7.50 = $150
White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. This means that
8x + 6y = 150 - - - - - - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
8(20 - y) + 6y = 150
160 - 8y + 6y = 150
- 8y + 6y = 150 - 160
- 2y = - 10
y = - 10/ - 2
y = 5
x = 20 - y = 20 - 5
x = 15
Answer:
Step-by-step explanation:
We are given the expression:
There are no common factors between the four numbers, however the first two have a common factor and the last two do too. Therefore, we can factor by grouping.
Group the first two terms and the last two.
Find the greatest common factor (GCF) of the first group. It is 5g². Factor it out of the first group. You can do this by dividing both terms by the GCF.
- 10g³/5g²= 2g
- -25g²/5g² = -5
Repeat with the second group. The GCF is 2.
There is another GCF: 2g-5. We can factor this out of both terms.
- 5g²(2g-5)/2g-5= 5g²
- 2(2g-5)/ 2g-5=2
This cannot be factored further, so it is the answer.
Answer:
-2n - 12
Step-by-step explanation:
Combine like terms. Note that each term has one variable (n). Also note that one negative sign and one positive sign results in a negative sign.
-6n + (-12) + 4n = -6n + 4n - 12 = -2n - 12
-2n - 12 is your answer
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