Answer:
Revenue = 1380
Step-by-step explanation:
Given:
Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.
Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.
The revenue received from selling 'x' backpacks is given as:
Number of backpacks sold (x) = 40
Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.
On plugging 40 for 'x', we get:
Therefore, the revenue received by the company on selling 40 backpacks is 1380.
Answer:
1241
Step-by-step explanation:
∴
L.C.M. of 28, 36 and 45 = 2 × 2 × 3 × 3 × 5 × 7 = 1260
∴
the required number is 1260 - 19 = 1241
Hence, if we add 19 to 1241 we will get 1260 which is exactly divisible by 28, 36 and 45.
Answer:
18:162
Step-by-step explanation:
1:9
1+9=10
(1×180)÷10= 18
(9×180)÷10=162
Answer:
B.
Step-by-step explanation:
Let's call x the number of pens and y the number of notebooks that Monique can buy.
If each pen costs $2 and each notebook costs $3, so she is going to spend 2*x on pens and she is going to spend 3*y on notebooks.
Additionally, she is going to spend a maximum of $36. so:
2x + 3y 36
It means that the line that separated the region is:
2x + 3y = 36
This is the same that a line that passes for the points (0,12) and (18,0) or the line of the region B
Answer:
a) SPAZ is equilateral.
b) Diagonals SA and PZ are perpendicular to each other.
c) Diagonals SA and PZ bisect each other.
Step-by-step explanation:
At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.
a) If figure is equilateral, then SP = PA = AZ = ZS:
Therefore, SPAZ is equilateral.
b) We use the slope formula to determine the inclination of diagonals SA and PZ:
Since , diagonals SA and PZ are perpendicular to each other.
c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:
Then, the diagonals SA and PZ bisect each other.