Step-by-step explanation:
First we need to set up an equation so
12.50=4x+2.50
Simplify each side by subtracting the initial fee of 2.50
10=4x
divide by 4 to isolate x
2.5=x
You can park for 2.5 hours with your budget
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
Answer:
x + 8 ≤ (x − 4)2
Step-by-step explanation:
Let the number be x,
The sum of the number and 8 is
(x + 8)
The square of the difference of the number and 4 is
(x - 4) {}^{2}
Hence the inequality is
(x + 8) \leqslant (x - 4) {}^{2}
