Answer:
N=6
Step-by-step explanation:
You need to prime factorize 150. 150 = 3*5*2*5.
x*x=perfect square.
What we have done so far is we have split 150 into a few digits
You can add 5 to one box and 5 to the other.
Next if we add 3 to one box and 2 to the other box, then they wont be equal.
Let's try 5*6 and 5.
6 is missing from the second box, so N must be 6 to create a perfect square.
The perfect square is 900 and 30*30 = 900, so it is a perfect square.
Equation is: 
and Value of x is 
Step-by-step explanation:
We need to write an equation of:
The sum of 3 times a number and 7, divided by 5, is 17
Let the number = x
So, equation will be:
We can solve the equation to find the value of x.
So, Equation is:
and Value of x is
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Answer:
y = 8x
Step-by-step explanation:
When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:
$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.
Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.
hope it helps!
Answer:
the points are (35,30) you may need to search a graph online i used desmos
Step-by-step explanation:
1. x= Jacksons Cups y= Lucius Cups2. x - y= 5 6x + 3y = 300Substitution: 6 (y+5) + 3y = 300 6y + 30 + 3y = 300 9y = 270 dived both by 9 y=30 Sub y for other equation x - 30 = 5 add 30 to both sides x = 35 Answer: (35, 30) Graphing: x- y = 56x+ 3y = 300solve both for y y = x-5 6x + 3y = 300minus 6x from both sides the points are in y = mx + b y= 1x -5 y= -2x + 100 I will also leave the ss of the graph in the comments if you cannot see it My labels for the x-axis is Jacksons cups and y Is luscious cups. Elimination:x - y = 5 6x + 3y = 300 First I manipulated the equations by the following - 6 (x - y = 5 ) 1(6x + 3y = 300 ) -6x + 6y = -30 6x + 3y = 300 The 6 x's cancel and add the y's and real numbers together 9y = 270 dived both by 9 y= 30 Sub y for other equation x - 30 = 6 add 30 to both sides x= 30 The points are (35, 30) The solution is (35,30)They represent how many cups they sold. 35 is Jackson cups and 30 is Lucious's cups
