Step-by-step explanation:
let w be the cost of a bottle of water and p be the cost of a bag of pretzels
"2 bottles of water and 3 bags of pretzels is $7.05" can be written as
2w + 3p = 7.05 ------------- eq.1
"The cost of a bag of pretzels is $1.35" can be written as
p = 1.35 ------------- eq 2
Together, eq 1 and eq 2 make up your system of equations
To solve, take eq 2 and substitute this value int eq 1
2w + 3 (1.35) = 7.05
2w + 4.05 = 7.05
2w = 7.05 - 4.05
2w = 3
w = 1.5
Hence the cost of a bottle of water is $1.50
There are 6 slices, as 2/(2/6) = 2*(6/2) = 6.
Therefore, Ben ate 1/6 of the cake, as it is one of the six slices. In total, they are 3/6 of the cake, or 1/2.
Use elimination to solve for x and y
Answer:
A) 2(9x - 2)
Step-by-step explanation:
The greatest common factor of 18x and -4 is 2.
B is wrong because 18 is not the greatest common factor of both, since 4 cannot be divided by 18 and result in a whole number.
C is wrong because 18x cannot be divided by 4 to produce a whole number.
D is wrong because it restates the problem in a different way, therefore not factoring it completely. 1 is a common factor of both, but not the greatest.
Answer:
1/2
Step-by-step explanation: