Answer:
The numbers are 2, 4, 6 and 8
Step-by-step explanation:
let the four numbers be x, y, z and l respectively
then:
x+y+z+l
(z+l)–6=4x
since they are all four consecutive even integers
then y=x+2
z=y+2=x+4
l=z+2=x+6
since (z+l)–6=4x
then ((x+4)+(x+6))–6=4x
2x+4=4x
4=4x–2x
4=2x
2=x
Answer:
20
Step-by-step explanation:
You need to create two equations for each company and then set them equal to each other. The keywords base fee means you will pay this amount regardless, so this amount stays constant and it will be the constant in the equation. The other keyword is per. Per will link the variable with the coefficient.
The first equation for company M:
y = 12x + 60
The second equation for company N:
y = 9x + 120
Set the equations equal to each other.
9x + 120 = 12x + 60
Solve for x. I am going to subtract 9x from both sides first.
9x - 9x + 120 = 12x -9x +60
120 = 3x +60
Now, I will subtract 60 from both sides.
120 - 60 = 3x + 60 - 60
60 = 3x
Finally, I will divide both sides by 3
60/3 = 3x/3
x = 20
20 is how many guests it will take for the total cost to be the same.
X² + 3x < 28
x² + 3x - 28 < 0
(x+7)(x-4) < 0
the zeros will be at x = -7 and x =4
∴ the solution of inequality
x ∈ (-7,4)
See the attached figure
Answer:
1.5 + 0.5h = 5 and 0.5h + 1.5 + 5
Step-by-step
I think this would be the answer, sorry if it's not
Answer:
x=all real numbers
Step-by-step explanation:
1. distribute: 5(x+6)-2x=3(x+10)
5x+30-2x=3x+30
2. combine like terms 3x+30=3x=30
3. these are equal therefore x=all real numbers
