L=9 in
W=4,25 in
A=L·W
A=9·4,25
A=38,25 in²
<em>A≈38 in²</em>
The resultant graph is shown in the attached image.
Explanation:Before we begin, remember that when we multiply by a negative sign, we flip the sign of the inequality
The given inequality is:
-y ≤ 3x - 5
We will multiply both sides by -1 to get a positive y vale. This will give us:
y ≥ -3x + 5
Now, to graph the inequality, we will first draw the line y = -3x + 5 and then shade the region having y values greater than the line.
To know the region, you will simply use trial and error method for random points on the two sides of the line.
The final solution would be as shown in that attachment.
Hope this helps :)
Answer:
3100 units of Product Z
Step-by-step explanation:
The ratio is 4 is to 2, that means:
4 + 2 = 6 parts total
Now,
We have to cover the fixed cost of 418,500 from profits, that is SP - VC
Where SP is Selling Price and VC is Variable Cost
Product A:
SP = 75
VC = 35
Profit = 40
Product B:
SP = 95
VC = 40
Profit = 55
So, we can sell "4x" of product A and "2x" of product B, and create the equation:
Now, we solve for x:
The amount of Product Z was taken as "2x", so the quantity of Product Z would be:
2(1550) = <u>3100 units of Product Z</u>
Answer: 36 cakes
Step-by-step explanation:
There are 4 bakers in this kitchen and they can each bake a cake in 20 minutes.
This means that the number of cakes baked in 20 minutes is 4 cakes.
3 hours in minutes is:
= 3 * 60
= 180 minutes
The number of 20 minute periods in 3 hours is therefore:
= 180/20.
= 9
If 4 cakes are baked in 20 minutes, the number of cakes in 180 is:
= 4 * 9
= 36 cakes
3x - y - 3z
(3*-2) - 1 - (3*-2)
-6 - 1 - (-6)
-7 + 6
-1