There were 30 items on sale. Hope this helps and please give Brainliest!
Answer:
Length = 9units
Width = 7units
Step-by-step explanation:
It is said that the length is 2units more than the width
Assume that the width is x, then the length will be 2 + x
ie
Width = x
Length = 2 + x
Area of the rectangle = 63units
Area of rectangle = l * b
l - length of the rectangle
b - width of the rectangle
A = l * b
63 = (2 + x) * x
63 = ( 2 + x) x
63 = 2x + x^2
Let's rearrange it
x^2 + 2x - 63 = 0
Let's find the factor of 63
A factor that can be multiplied to give -63 and that can be added to give +2
Let's use -7 and +9
x^2 - 7x + 9x - 63 = 0
Separate with brackets
( x^2 - 7x) + ( 9x - 63) = 0
x( x - 7) + 9(x - 7) = 0
( x + 9)(x - 7) = 0
( x + 9) = 0
( x - 7) = 0
x + 9 = 0
x = -9
x - 7 = 0
x = 7
Note: the length of a rectangle can not be negative
So therefore,
x = 7
Length = 2 + x
= 2 + 7
= 9units
Width = x
= 7units
Answer:
h ≤ (approx) 3.7
Step-by-step explanation:
To start, we can take our knowledge that we have to spend 20$, at minimum. Therefore, we can only allocate (150-20)=130 to our payment per hour. As we pay 35$ per hour, the amount of money relative to hours would be 35*h. Therefore, as we can allocate 130 dollars or less for our hourly payments, and our money is 35*h, we can day that 35*h(the money we spend on hourly rates) ≤ 130. Then, as 35*h ≤ 130, we can divide 35 from both sides to get h ≤ 130/35, or h ≤ (approx) 3.7
