In this item, we will be able to form a system of linear equation which are shown below,
292 = 400x + y
407 = 900x + y
where x is the percent of the commission that he gets and y is the wage. The values of x and y from the equations are 0.23 and 200. This means that Justin earns a fixed wage of 200 per day and a commission which is equal to 23%.
Substituting the known values to the equation,
S = (0.23)(3200) + 200 = 936.
Therefore, Justin could have earned $936 had he sold $3,200 worth of merchandise.
Use the squeeze theorem; if
1 - <em>x</em> ²/4 ≤ <em>u(x)</em> ≤ 1 + <em>x</em> ²/2,
then taking the limit on each part as <em>x</em> approaches 0 gives
1 ≤ lim [<em>x</em> → 0] <em>u(x)</em> ≤ 1
and so the limit of <em>u(x)</em> as <em>x</em> → 0 is simply 1.
Answer:
The length of each side of the square park is 2,400 ft
Step-by-step explanation:
we know that
The scale is 
step 1
Remember that
1 ft=12 in
The length of each side on the map is 1 ft
Convert ft to in
1 ft=1(12)=12 in
step 2
Find the length of each side of the square park
using proportion
Let
x ----> the actual length of each side of the square park
Answer:
Step-by-step explanation:
hello :
let y the length and x the width
A the area and P the perimeter
so : A= xy and P = 2(x+y) ....y > x and x >0 ; y>0
xy = 1764 ...(1)
y = x +13....(2) put this value in (1) : x (x+13) = 1764
x²+13x -1764 = 0 ...quadratic equation
calculate : Δ = b² -4ac a =1 and b =13 and
c = -1764
Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²
X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused (x >0)
X2 =(-b+√Δ)/2a =(-13+85)/2 = 72/2 = 36
so : x= 36 put this value in (2) : y = 36+13 = 49
the perimeter is : P = 2(x+y)
P = 2(36+49) = 170 m
Answer:
Each strip should 11 inches wide.
Step-by-step explanation:
We are told that Jazmin has two pieces of construction paper. The first piece is 44 inches wide and the second piece is 33 inches wide. Jazmin wants to cut the paper into strips that are equal in width and are as wide as possible.
To find the greatest possible width of each strip we will find GCF of 44 and 33.
Factors of 44 are: 1, 2, 4, 11, 22, 44.
Factors of 33 are: 1, 3,11, 33.
We can see that 11 is the greatest common factor of 44 and 33 as 11*4=44 and 11*3=33, therefore, Jasmine should cut each strip 11 inches wide.
