Answer:
1. 2w + 3p = 7.05
2. p = 1.35
w = 1.50
p = 1.35
- The solution means that a bottle of water costs $1.50 and a bag of pretzels costs $1.35
Explanation
1) Translate the verbal language to algegraic language to create the equations which you can solve.
w = cost of one bottle of water
p = cost of one bag of pretzels
the cost of 2 bottles of water: 2w
the cost of 3 bags of pretzels: 3p
the cost of 2 bottles of water and 3 bags of pretzels is $7.05:
2w + 3p = 7.05 Equation 1
the cost of a bag of pretzels is $ 1.35: p = 1.35 Equation 2
1. 2w + 3p = 7.05
2. p = 1.35
2) Solve the system using substitution method: substitute p with 1.35 in the first equation:
3) Steps to solve the equation:
- Simplify: 2w + 4.05 = 7.05
- Subtract 4.05 from both sides: 2w = 3
- Divide both sides by 2: w = 3/2 = 1.50
Answer: you have found the costs of both a bottle of water and a bag of pretzels, which, repectively, are $ 1.50 and $ 1.35
Answer:
-3/6 or -1/2
Step-by-step explanation:
Answer: -80 and -3
Step-by-step explanation: By signed number, do you mean a negative or positive number? If so that means that number one is -80 because she lost 80 dollars which mean that she LOST the money. And the second number is -3 because the number DECREASED
Answer:
x ≈ 8.57
Step-by-step explanation:
The ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is
= ( cross- multiply )
8x = 6(20 - x) , distribute
8x = 120 - 6x ( add 6x to both sides )
14x = 120 ( divide both sides by 14 )
x ≈ 8.57 ( to the nearest hundredth )