Answer:
x = 
Step-by-step explanation:
Let the number be x.
x - 3 = 10x
9x = -3
x = 
Answer:
C) x = 1
Step-by-step explanation:
By adding the like terms you get
-12x + 10 = -10x + 8
then you add 12x to both sides and subtract 8 to both sides and get
2 = 2x
which then you would divide 2 by 2 and get 1
Let n = the number of nickels that Ari has.
Let p = the number of pennies that Ari has.
The total number of coins she has is 22.
n + p = 22
We have our first equation... But we another one to solve this.
Each penny is going to be $0.01 and a nickel is work $0.05.
And the total is $0.54
Our second equation. 0.05n + 0.01p = 0.54
n + p = 22
0.05n + 0.01p = 0.54
Multiply the top by -0.05
-0.05n - 0.05p = -1.1
0.05n + 0.01p = 0.54
The n terms cancel out.
-0.04p = -0.56
p = 14
Substitute p back into the top equation.
n + 14 = 22
n = 8
So, Ari has 8 nickels and 14 pennies.
(d) is the correct answer.
Answer:
x = - 5
Step-by-step explanation:
Given y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 18 when x = 3 , then
- 18 = 3k ( divide both sides by 3 )
- 6 = k
y = -6x ← equation of variation
When y = 30 , then
30 = - 6x ( divide both sides by - 6 )
- 5 = x
