Given :
Price per folder = $2.15 .
Price per notebook = $4.60 .
The supply budget for this meeting is $150.
To Find :
Inequality represents the constraint on the number of folders f and notebooks n the office administrator can purchase.
Solution :
Let, number of folders and notebooks is f and n.
So, price of buying f and n number of folders and notebooks are :
P = 2.15f + 4.60n
Now, it is given that P ≤ $150 .
So,
2.15f + 4.60n ≤ 150
Hence, this is the required solution.
2x^2-5x+1=3
2x^2= a -5x=b 1=c
the rule is: ax^2+bx+c= 0
therefore, we have to make the equation equals to zero:
2x^2-5x+1-3=0
2x^2-5x-2= 0
the rule here is: b^2-ac:
delta= 25-16=9
then you square the delta:
=√delta= 3
there are two ways to get x, either:
(-b-delta)÷2a
x...(1)= (5-3)÷4= 1/2
or, (b+delta)÷2a
x...(2)= (5+3)÷4= 2
hope it makes sense.
Answer:
90.000 m³
Step-by-step explanation:
- L = 6 m
- W = 5 m
- H = 3 mm = 3.000 m
V = L × W × H
V = 6 × 5 × 3.000
V = 30 × 3.000
V = 90.000 m³
Givens
Let the width = x
Let the length = x + 9
Area = 52 in^2
Formula
Area = L * W
Solve
52 = (x + 9)(x ) Remove the brackets.
52 = x^2 + 9x Subtract 52 from both sides
x^2 + 9x - 52 = 0 Factor
You need 2 numbers that add to 9 and multiply to 52. There aren't many
52 and 1
26 and 2
13 and 4
All three will multiply to 52. 52 = 52 + 1 or 52 - 1 (The larger number must be plus). 53 or 51 is not the sum. 52 and 1 is not the answer.
26 and 2 will add or subtract to 28 or 24. Neither 1 is 9. So that can't be your answer.
13 and 4 will give 9 or 17. There's your answer.
(x + 13)(x - 4) = 0
x = - 13 is not the answer. You cannot have minus distances.
x - 4 = 0
x = 4
The width is 4 inches <<<< answer.