Answer:
If there will be 24 lines on all pages, there will be 175 pages in the book
Step-by-step explanation:
First we have to find out how much lines does the book have in total, so we multiply the number of pages by the number of lines on the page. So we get.....
120 x 35 = 4200
Now in order to find out how much pages will the book have when a page will have 14 lines we divide the number of lines by 24 and we get......
4200 / 24 = 175
Answer:
Option A is correct, i.e. x = -3, x = 7.
Step-by-step explanation:
Given the equation is x² -4x -21 = 0.
We can compare it with general quadratic equation i.e. ax² +bx +c =0.
then a = 1, b = -4, c = -21.
We can use Quadratic formula as follows:-
x = ( -b ± √(b²-4ac) )/2a
x = ( +4 ± √(16-4*1*-21) )/2*1
x = ( +4 ± √(16+84) )/2
x = ( +4 ± √(100) )/2
x = ( +4 ± 10 )/2
x = (4+10)/2 or x = (4-10)/2
x = 14/2 or x = -6/2
x = 7 or x = -3
Hence, option A is correct, i.e. x = -3, x = 7.
9514 1404 393
Answer:
F. 30·tan(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between the opposite and adjacent sides in a right triangle.
Tan = Opposite/Adjacent
tan(52°) = BD/DL
BD = DL·tan(52°)
The boat-to-dock distance is ...
30·tan(52°) . . . . matches F
the answer to this question is y=2x.
(# of five dollar bills=f ; # of ten dollar bills=t)
3t-1=f ⇒ this means that if there were 1 $5 bills, there would be 2 $10 bills.
So the ratio of $5 bills to $10 bills is 1 to 2.
We can plug that into another equation:
f+t=410 ⇒ I havent actually learned this in school yet so I just made a chart: $10 ║ $5
------║------
2 ║ 1 = $25
4 ║ 2 = $50
6 ║ 3 = $75
8 ║ 4 = $100
10 ║ 5 = $125
and so on...
you probably found the pattern already, so you can conclude that [cathy deposited 16 five dollar bills and 33 ten dollar bills]
Also, you should probably check if there are any mistakes when going through this since I took almost an hour writing this.
