Answer:
1:2
Step-by-step explanation:
There are 5 square numbers and 10 prime numbers between 1 and 30 so this is what you will do:
1:Since you said square numbers to prime numbers, you start with the total number of square numbers which is 5
2:Then you put a colon and put the total number of prime numbers which is 10 after it ,which the answer will be 5:10
3:Now you have to simplify it, since 5 can go into itself and 10, the answer will be 1:2
Therefore, it will be 1:2
original price of first typewriter = x
2970/x = 110/100
x = 2970 x 100/110 = 2700
Price of first typewriter = Rs 2700
Original price of second typewriter = y
2970/y = 90/100
y = 2970 x 100/90
y = 3300
Original price of second typewriter = 3300
profit from first typewriter = 2970 - 2700 = 270
Loss from second typewriter = 3300 - 2970= 330
270 less than 330
so he lost 330 - 270 = Rs 60 in whole transaction
Answer: It will be D
Step-by-step explanation: 5 divided by 8 is 1.2
Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b)
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5) Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2
Answer:
Option D
Step-by-step explanation:
Given: set of inequalities
To find: Points which do not satisfy all the inequalities
Solution:
For point 
:
So, (15, 0) satisfies all the inequalities
For point 
:
So, (7.5, 7.5) satisfies all the inequalities
For point (22.5,2.5):
So, (22.5,2.5) satisfies all the inequalities
For point (7.5 ,0):
Put s = 7.5 and t = 0 in 
which is false
So, 
