Answer:
425 mm
Step-by-step explanation:
The ratio of compound A to compound B is 5 is to 6.
So, we can say that the total ratio is of 11 parts (5+6=11).
<em><u>If the chemist wants a total of 935 mm of the drug, then each of the 11 parts are worth:</u></em>
<em>From the ratio, we know that Compound A is 5 parts. So:</em>
425 mm of Compound A is needed.
x ≤ 12
Solution:
Let us take the number be x.
A number : x
A number divided by three :
A number divided by three less two :
A number divided by three less two is at most two :
Now, simplify the inequality,
Add 2 on both sides of the inequality,
Multiply by 3 on both sides of the equation,
Hence x ≤ 12.
Answer:
15 mph
Step-by-step explanation:
Given: Boat took 2 hours to reach Town A going upstream.
Speed of stream= 3 mph
Time taken to reach back home= 1 hours 20 minutes
Lets assume distance covered one side be "d" and speed of boat in still water be "s".
∴ Speed of boat in upstream=
Speed of boat in downstream=
Also converting into fraction of time taken to reach back home.
Remember; 1 hour= 60 minutes
∴ Time taken to reach back home=
Converting time given into fraction=
hence, Time taken to reach back home is
Now forming equation of boat travelling upstream and downstream, considering distance remain constant.
We know,
⇒
Using distributive property of multiplication
⇒
subtracting both side by
⇒
Adding both side by 6
⇒
taking LCD as 3
⇒
Multiplying both side by
⇒
∴s= 15 mph
Hence, 15 mph is the speed of the boat in still water.
Answer:
<h2>See the explanation.</h2>Step-by-step explanation:
(a)
= A.
In the above matrix A, the columns refers the three type of books and the rows refers the from which stores the books are been sold.
The numbers represents the corresponding sales in the month of January.
The sale is same for the 6 months.
Hence, 6A = . This matrix 6A represents the total sales over the 6 months.
(b)
If we denote the books in stock at the starting of January by B, then
B = .
Each month, the chain restocked the stores from its warehouse by shipping 500 hardcover, 1,400 softcover, and 1,400 plastic books to San Francisco and 500 hardcover, 500 softcover, and 500 plastic books to Los Angeles.
If we represent the amount restocked books at the end of each month by another matrix C, then
C = .
This restocking will be done for 5 times before the end of June.
If there would be no sale, then the stock would be
B + 5C = .
Since, the total sale is given by 6A, at the end of June, the inventory in each store can be shown as following,
B+5C-6A