Answer:
Let x = the number
A negative number is 42 less than its square ⇒
x = x2 - 42
x2 - x - 42 = 0
(x - 7)(x + 6) = 0
x = 7 or -6
But since it is given that x is negative, the final answer is x = -6.
Answer: 200cm long
Step-by-step explanation:
Let the length of the rod be x
red = 1/4 of the rod , which means 1/4 of x
orange = 2/5 of x
The remainder = x - (
+
)
= x - (
)
= 
yellow = 2/7 of the remainder , that is
yellow = 2/7 of 
yellow = 
and it was given that the yellow section was 20cm long , that is
= 20cm
x = 20 x10
x = 200
Therefore the rod was 200cm long
Answer:
x = 4 ; y = 8
Step-by-step explanation:
we can use a system of two equation
x+1 = y-3
y-5 = 2x-5
we can find x in the first equation
x = y -4
we can now substitute x with this value in the second equation
y-5 = 2(y-4)-5
y = 2y-8
y = 8
we can now find x
x = 8-4 = 4
verify
2(4)-5 = 3
8-5 = 3
8-3 = 5
4 + 1 = 5
Answer:
3 and 18
Step-by-step explanation:
let x be the first number
let 6x be the second number
x + 6x = 21
7x=21
x=21/7
x=3
second number =6x
second number 6x3= 21
The factors of -18 are 1, 2, 3, 6, 9, 18 and their negative counterparts :)