To solve this problem, we must do a method of trial and error to find
for the next highest integer with exactly three factors. We know that the value
of k must be greater than 4, therefore by using trial and error to find for the
correct answer:
Factors of 5:1, 5
Factors of 6:1, 2, 3, 6
Factors of 7:1, 7
Factors of 8:1, 2, 4, 8
Factors of 9:1, 3, 9
Therefore we stop at 9 since this is already our answer. It has exactly
three factors.
The sum of the factors is:
sum of factors = 1 + 3 + 9
<span>sum of factors = 13</span>
<h2>
Answer:</h2><h3>False</h3>
<h2>
Step-by-step explanation:</h2>
In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether 
is the solution to this system, that is, the ordered triple 
where three planes intersect.
The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:
STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the is not the solution to the system of equations.
Option C
Math teacher would need to buy 130 prizes
<em><u>Solution:</u></em>
Given that,
Math teacher currently has 109 students and the box has 88 prizes in it
The math teacher likes to keep at least twice as many prizes in the box as she has students
So, she wants the number of prizes to be twice the number of students
Therefore,
number of prizes = 2 x 109 students
number of prizes = 2 x 109 = 218 prizes
The box has 88 prizes in it
Therefore, number of prizes she would need to buy is:
⇒ 218 - 88 = 130
Thus she would need to buy 130 prizes
Therefore, ' 19 ' smaller lawn mover and '11' larger lawn mover were sold.
Step-by-step explanation:
Given:
let the smaller lawn mover be 'x'
let the larger lawn mower be 'y'
According to condition total mover will be
................( 1 )
and total cost will be given as
................( 2 )
To Find:
x =? and y =?
Solution:
Substituting equation 1 in equation 2 we get
Substituting ' y 'in ( 1 ) we get
Answer:
Correct answer is A.
Step-by-step explanation:
2x∧3 + 5x∧2 + 6x + 15 = x∧2 (2x+5) + 3 (2x+5) = (2x+5) 0 (x∧2+3)
God with you!!!
