Divide 120 by 4 to get 1/9 of the rope: 30. Then multiply it by 9 to get the part after 1/4 was given away: 270. Now divide it by 3 to get 90 and lastly, multiply it by 4 to get a final answer of 360 centimeters. Hope this helps!
Answer:
x=-85
Step-by-step explanation:
x-18=-103
x=-103+18
x=-85
Answer:
300 dollars
Step-by-step explanation:
250 x 0.2= 50
250 + 50=300
Answer: there were 692 visitors on Saturday.
Step-by-step explanation:
Let x represent the number of visitors that were there on Friday.
Let y represent the number of visitors that were there on Saturday.
Let z represent the number of visitors that were there on Sunday.
The theme park had 1099 visitors in 3 days. It means that
x + y + z = 1099- - - - - - - - - - - - - -1
There were twice as many visitors on saturday than on Friday. This means that
y = 2x
x = y/2
There were 234 more visitors on Sunday than on Saturday. This means that
z = y + 234
Substituting x = y/2 and z = y + 234 into equation 1, it becomes
y/2 + y + y + 234 = 1099
Cross multiplying by 2, it becomes
y + 2y + 2y + 468 = 2198
5y = 2198 - 468
5y = 1730
x = 1730/5
x = 346
y = 2x = 2 × 346
y = 692
z = y + 234 = 692 + 234
z = 926
The given system of equation has no solution.
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The given equations are 4x + 2y = 14 and 2x + y = 7.
<u><em>step 2</em></u><em> :</em>
Let 4x + 2y = 14 be the first equation.
Let 2x + y = 7 be the second equation.
The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.
<u><em>step 3</em></u><em> :</em>
In first equation taking 2 out as a common factor on both sides, the equation becomes:
2 (2x + y) = 2 (7)
So, the first equation resembles the second one.
<u><em>step 4</em></u><em> :</em>
Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.
