Answer:
210 books
Step-by-step explanation:
Hello
I think I can help you with this
Step 1
if one box is 7.5% of the total shipment, how many box is the total shipment
1 box =7.5%
x?box=100%
using a rule of three
Now, isolating x
13.34 boxes is the total
Step 2
find the total of books
we will need 14 boxes, because it does not exist 0.34 box
so, the total of books=
number of boxes*number of books included in each box
=14 boxes*15 books
=210 books
Have a great day
Let n be the smallest of these integers. The other two are then n + 2 and n + 4.
"triple of the sum of thrice the third one and twice the first one is equal to 291" is a long-winded way of saying
3 (3 (n + 4) + 2n) = 291
Solve for n :
3 (3n + 12 + 2n) + 291
3 (5n + 12) = 291
15n + 36 = 291
15n = 255
n = 17
Then the greatest of the three integers is n + 4 = 21.
Since both of them are 3 meters from one side of the 25 meter pool, the distance that they have to cover is actually only 22 meters only. To answer this item, we let x be the distance covered by Ario and 22-x be his remaining distance. Such that,
x/(22-x) = 1/4
The value of x from the equation is 4.4.
Therefore, the distance that Ario had covered is 4.4 m.
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
