Answer:
All options are correct.
Step-by-step explanation:
In option (A), the given equation is

Add 37 on both sides.


Subtract x from both sides.


LHS=RHS for all values of x. It means equation x-37=x-37 has infinite many solutions.
Similarly.
In option (B), the given equation is



LHS=RHS for all values of x. It means equation 73x-37=73x-37 has infinite many solutions.
In option (C), the given equation is



LHS=RHS for all values of x. It means equation 37x-37=37x-37 has infinite many solutions.
In option (D), the given equation is



LHS=RHS for all values of x. It means equation 74x-37=74x-37 has infinite many solutions.
Therefore, all options are correct.
Answer:
9/2 or 4 1/2
Step-by-step explanation:
- 3/4 ÷ 1/6 = 3/4 × 6
- 3/4 × 6 = 18/4
- 18/4 = 9/2
- 9/2 = 4 1/2
Therefore, the answer is 9/2 or 4 1/2.
Hello from MrBillDoesMath!
Answer:
75
Discussion:
A plane triangle has 180 degrees. Using this in the diagram gives
x + 81 + angle BAC = 180 (***)
(The diagram is a bit fuzzy but I think the above numbers are accurate)
The diagram also shows that (156 + angle BAC )= 180 as a straight line has 180 degrees. So
angle BAC = 180 - 156 = 24
Substituting this in (***) above gives
x + 81 + 24 = 180 =>
x + 105 = 180 => (as 81 + 24 = 105)
x = 180 107 = 75
Check: Does
x + 81 + angle BAC = 180 ?
75 + 81 + 24 = 180. Yes
Thank you,
MrB
Answer:
712.50 is the cost price.
Step-by-step explanation:
570 increase 25% =
570 × (1 + 25%) = 570 × (1 + 0.25) = 712.5
Answer:
paper = $4 and stapler = $7
Step-by-step explanation:
let p represent paper and s represent stapler, then
3p + 4s = 40 → (1)
5p + 6s = 62 → (2)
Multiplying (1) by 5 and (2) by - 3 and adding will eliminate p
15p + 20s = 200 → (3)
- 15p - 18s = - 186 → (4)
Add (3) and (4) term by term to eliminate p
2s = 14 ( divide both sides by 2 )
s = 7
Substitute s = 7 into either of the 2 equations and evaluate for p
Substituting into (1)
3p + 4(7) = 40
3p + 28 = 40 ( subtract 28 from both sides )
3p = 12 ( divide both sides by 3 )
p = 4
Thus package of paper costs $4 and stapler costs $7