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.