All you have to do is add the like terms.
(They are all like terms, so just add everything)
4c + 2c + c
6c + c
= 7c
Now we know that
7c = 266
We need to isolate c in 7c, to do that we will eliminate 7.
Eliminate it by dividing 7.
7c ÷ 7 =
[property of equality - also divide 7 on the other side since you are making changes to this side]
7c ÷ 7 = 266 ÷ 7
c = 38 [final answer]
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Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.
Step-by-step explanation:
Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.
Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.
The total pounds of both candies in the mixture is 15. It means that
x + y = 15
Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)
The equation would be
1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
1.8(15 - y) + 3y = 1.95(15 - y + y)
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 + 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
x = 15 - y = 15 - 1.88
x = 15 - 1.88 = 13.12
W = 2.5
hope this helped!
<3