Answer:
-6 + 12x
Explanation:
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Answer:
= -1/2
Step-by-step explanation:
Pick two points
(1,0) and (3,-1)
Then use the slope formula
m = (y2-y1)/(x2-x1)
= (-1 -0)/(3-1)
= -1 /2
Answer:
Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Step-by-step explanation:
With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:
x+y=7
Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:
0.45x+0.65y=3.65
You have the following equations:
x+y=7 (1)
0.45x+0.65y=3.65 (2)
Now, you have to solve for x in (1):
x=7-y (3)
Then, you have to replace (3) in (2):
0.45(7-y)+0.65y=3.65
3.15-0.45y+0.65y=3.65
0.20y=0.50
y=0.50/0.20
y=2.5
Finally, you can replace the value of y in (3) to find x:
x=7-y
x=7-2.5
x=4.5
According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.
Answer: $1750
Step-by-step: see the picture
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Remember that to solve an equation we need to isolate the variable in one side. To do it we can perform any mathematical operations we want as long as we perform the operations to both sides of the equation.
Let's solve our equation step by step
Step 1. Subtract
from both sides of the equation



Step 2. Subtract 3 from both sides of the equation


Step 3. Divide both sides of the equation by 




We can conclude that the next step is: subtract 3 from both sides of the equation.