Answer:
Find out the numbers .
To prove
Let us assume that one number be x.
Let us assume that second number be y.
As given
The sum of two numbers is 30.
Than the equation becomes
x + y = 30
Their difference is 6.
x - y = 6
Thus two equation are .
x + y = 30 and x - y = 6
Subtracted x - y = 6 from x + y = 30
x - x + y - (-y) = 30 - 6
y + y = 24
2y = 24
y = 12
Put in the x - y = 6
x - 12 = 6
x = 6 + 12
x = 18
Therefore the two numbers are 12 and 18 .
We know that total bill = rate per gallon times numbers of gallons used
So 17.60 = 0.55 times g
which get match to option (a) this is correct .
Now if we divide both sides by 0.55 we would be getting :
17.60 / 0.55 = g which is slightly different than option (b) ( because it is 55 in option b but actually it should be 0.55) so this one is incorrect .
let us now come back to option (a) 17.6 = 0.55 g
if flip the sides it becomes 0.55g = 17.6 which is same as option c option c is also correct .
Let us now divide both sides of option a by g^2 which makes it
17.6/ g^2 = 0.55 /g or 0.55/g = 17.6 /g^2 which matches only left side of option d but not right side of it so this is also not a correct option
Answer : only (a) and c are correct answer .
Max mart is $1.25 for an orange, and megmart is $1.125 for an orange. So megmart has the best deal and the difference is $.125
Answer:
x=16
Step-by-step explanation:
1/2 ( x - 4 ) = 1/3 ( x + 2)
distribute both sides
1
/2
(x−4)=
1/
3
(x+2)
(
1
/2
)(x) + (
1/
2
)(−4) =(
1
/3
) (x)+(
1/3
)(2)(Distribute)
1
/2
x+−2=
1
/3
x+
2
/3
1
/2
x+−2=
1
/3
x+
2
/3
Step 2: Subtract 1/3x from both sides.
1/2x -2 -1/3
x
x=
1
/3
x +
2/3 −
1/
3
x
1
/6 x−2=
2/
3
Step 3: Add 2 to both sides.
1
/6
x −2+2=
2/
3 +2
1
/6
x =
8
/3
Step 4: Multiply both sides by 6.
6*(
1/6
x) =6*(
8
/3
)
x=16
