Answer:
Step-by-step explanation:
x + 3y = 24.....multiply by -1
5x + 3y = 36
------------------
-x - 3y = -24 (result of multiplying by -1)
5x + 3y = 36
------------------add
4x = 12
x = 12/4
x = 3 <=======
x + 3y = 24
3 + 3y = 24
3y = 24 - 3
3y = 21
y = 21/3
y = 7 <========
Answer:
A) 68
Step-by-step explanation:
Use the <em>Exterior Angle Theorem</em>.
The Exterior Angle theorem states that the exterior angle's measurement will be equal that of the two opposite interior angles.
Set the equation. Note that you are given the exterior angle and one interior angle:
58 + x = 126
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 58 from both sides of the equation:
x + 58 (-58) = 126 (-58)
x = 126 - 58
x = 68
A) 68 is your answer.
~
Answer:
290
Answer: The 50th term of the sequence is 290.
If you would like to solve the equation x + 1/6 = 6, you can do this using the following steps:
x + 1/6 = 6 /-1/6
x + 1/6 - 1/6 = 6 - 1/6
x = 6 - 1/6
x = 36/6 - 1/6
x = 35/6
x = 5 5/6
The correct result would be C. x = 5 5/6.
Answer: Marc still owes $175
Step-by-step explanation:
Let x represent the cost of the rug.
Marc ordered a rug and gave a deposit of 30% of the cost and will pay the rest when the rug is delivered. This means that the amount of money that he deposited
for the rug is
30/100 × x = 0.3 × x = 0.3x
If the deposit was $75, it means that
0.3x = 75
x = 75/0.3 = 250
The cost of the rug is $250
The amount that Marc still owes would be
250 - 75 = $175
