Answer:
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Step-by-step explanation:
Assume that the number of cartons holding 2 rackets is x and the number of cartons holding 3 rackets is y
∵ There are x cartons of 2 rackets
∵ There are y cartons of 3 rackets
∵ They used 38 cartons
∴ x + y = 38 ⇒ (1)
∵ They packed a total of 100 rackets
∴ 2x + 3y = 100 ⇒ (2)
Let us solve the system of equations
→ Multiply equation (1) by -2 to make the coefficients of x in
the equations equal in values and different is signs
∵ -2(x) + -2(y) = -2(38)
∴ -2x - 2y = -76 ⇒ (3)
→ Add equations (2) and (3)
∴ y = 24
→ Substitute the value of y in equation (1) or (2) to find x
∵ x + 24 = 38
→ Subtract 24 from both sides
∴ x + 24 - 24 = 38 - 24
∴ x = 14
There were 14 cartons of size 2 rackets and 24 cartons of size 3 rackets
Answer:The answer is 98
Step-by-step explanation:
Median is the middle number, so put the numbers from least to greatest and pick the number in the middle. In this case: 43,56,98,106,112. 98 is in the middle.
Answer:
y = (-3/2)x - 3
Step-by-step explanation:
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given two points, we can calculate the slope by dividing the change in y (or the difference in the y-coordinates) by the change in x (or the difference in the x-coordinates). Our two points are (-4, 3) and (2, -6):
m = (3 - (-6)) / (-4 - 2) = 9 / (-6) = -3/2
So, we can update our equation:
y = (-3/2)x + b
The y-intercept is where the graph crosses the y-axis, or the y-value where x = 0. Let's plug in 3 for y and -4 for x:
3 = (-3/2) * (-4) + b
3 = 6 + b
b = -3
So, our y-intercept is -3.
Our slope-intercept form is thus:
y = (-3/2)x - 3
<em>~ an aesthetics lover</em>
Answer:
হ্যালো অ্যাঞ্জেলা এবং তারপরে আমরা চেকটিতে অর্থ প্রদান করতে সক্ষম হব এবং অন্যটি হ'ল
Revenue = 7.5x - 100
Operation Costs = 5.8x + 79.86
To break even, operation cost = Revenue
⇒ 7.5x - 100 = 5.8x + 79.86
7.5x = 5.8x + 179.86 (Add 100 to both sides)
7.5x - 5.8x = 179.86
1.7x = 179.86
x = 105.8
This implies that the company will need to sell at least 106 items to make a profit.
The inequality that will determine the number of items at need to be sold to make a profit is x ≥ 106
The solution to the inequality is as follows
Revenue = 7.5x - 100
if x =106
Revenue = 7.5(106) - 100
Revenue = 695
Operational Cost = 5.8x + 79.86
if x = 106
Operational Cost = 5.8(106) + 79.86
Operational Cost = 694.66
Profit ≥ (695 - 694.66)
Profit ≥ 0.34
The company must sell at least 106 items to make a profit.
