$width=8+x+x=8+2x\\length=9+x+x=9+2x\\\\Area:A=width\cdot length\\\\A=(8+2x)(9+2x)=(8)(9)+(8)(2x)+(2x)(9)+(2x)(2x)\\\\=72+16x+18x+4x^2=4x^2+34x+72\\\\A=75ft^2\\therefore\\\\4x^2+34x+72=75\ \ \ \ |subtract\ 75\ from\ both\ sides\\\boxed{4x^2+34x-3=0}$

3 0

3 years ago

10 less than a number is the same number doubled. What is the number?

slega [8]

Answer:

-10

Step-by-step explanation:

Let x = number

10 less than a number is the same number doubled

x-10 = 2x

Subtract x from each side

x-10-x = 2x-x

-10 = x

The number is -10

5 0

3 years ago

Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account t

wolverine [178]

Answer:

10 number of checks.

Cost = $6

Step-by-step explanation:

Given that:

Fixed Charges of first bank = $5

Charges of first bank per check = $0.10

Fixed Charges of second bank = $4

Charges of second bank per check = $0.20

To find:

Number of checks such that the charges for the banks become the same?

Solution:

Let the number of checks = $x$

Cost for the first bank for $x$ checks = $5 + $0.10 $x$

Cost for the second bank for $x$ checks = $4 + $0.20 $x$

As per question statement, both the costs are the same.

Comparing the values:

$5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10$

So, for 10 number of checks the cost will be same.

The cost = 4 + 0.20 $\times$ 10 = <em>$6</em>

8 0

3 years ago