To find the unit price of each bag, divide each cost by the weight to find the cost of shrimp per pound.
For the 2.12 pound bag: 14.75 / 2.12 = $6.96 (rounded to the nearest cent)
For the 3.77 pound bag: 24.99 / 3.77 = $6.63 (rounded to the nearest cent)
You can tell that buying the 3.77 pound bag is better based on the unit price because of 6.63 < 6.96.
First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70 <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>
Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in
Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in
Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²
Hello :
the discriminat of each quadratic equation : ax²+bx+c=0 ....(a <span>≠ 0) is :
</span><span>Δ = b² -4ac
1 ) </span>Δ > 0 the equation has two reals solutions : x = (-b±√Δ)/2a
2 ) Δ = 0 : one solution : x = -b/2a
3 ) Δ <span>< 0 : no reals solutions
in this exercice : </span><span>2x ² - 3x - 1 = 0....a =2 b =-3 c =-1
calculate : </span>Δ ......................................
Answer:
21.5
Step-by-step explanation: