the width of a rectangle is 3 less than twice the length x. if the area of the rectangle is 43 square feet, which equation can b e used to find the length in feet.

f. 2x(x-3)=43
g. x(3-2x)=43
h.2x+2(2x-3)=43
g. x(2x-3)=43

is it f.

2. sasha and lakeisha went to the shopping mall. sasha spent 5x+2 for clothes. lakeisha on the other hand spent 3x-1 on various items. which expression represent the average mount of money that the girls spent?

a.(5x+2)(3x-1)
b.(5x+2)-(3x-1)
c.(5x+2)/(3x-1)
d.(5x+2)/2+(3x-1)/2

is it d

both correct

However, I'd have written #2d as

(5x+2 + 3x-1)/2

just to show it's the average of two numbers, rather than half of each.

For the first question, let's break down the problem step by step:

1. The width of the rectangle is 3 less than twice the length, which can be expressed as: width = 2x - 3.

2. The area of the rectangle is given as 43 square feet, so we have the equation: length * width = 43.

3. Substitute the values from step 1 into the equation from step 2: x * (2x - 3) = 43.

Now, let's look at the given options:

Option f: 2x(x-3)=43
This correctly represents the equation we derived, x * (2x - 3) = 43.

Therefore, the correct answer is option f.

Moving on to the second question:

1. Sasha spent 5x + 2 for clothes.
2. Lakeisha spent 3x - 1 on various items.

To find the average amount of money the girls spent, you need to add up their expenses and divide by 2 (since there are two girls). So, the expression we need to simplify is:

(5x + 2)/2 + (3x - 1)/2

Looking at the options:

Option d: (5x+2)/2+(3x-1)/2
This expression correctly represents the average amount of money spent by both Sasha and Lakeisha.

Therefore, the correct answer is option d.