Because you are given the ingredients for one batch, and you want the ingredients for four batches, you can multiply all of the original quantities by 4 to find the answers.
1 1/2 × 4
To do this, first convert 1 1/2 into a mixed number by doing 1 × 2 = 2, and 2 + 1 = 3, which would be the numerator. This then gives you
3/2 × 4/1, which simplifies to 12/2, which means your answer is 6.
1 × 4 = 4
1 × 4 = 4
3 × 4 = 12
3/4 × 4 = 3
(you cancel out the "/4" because you're multiplying by 4)
1 × 4 = 4
1/3 × 4/1 = 4/3
I hope this helps!
Answer:14
Step-by-step explanation: it's says x= the sign at the end meaning whatever x is it's greater than 2 and 14 is the only one greater than 2
The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.
Use cosine theorem to determine the cosine of the largest angle:
where 
is the largest angle.
Then
Since 
then
Divide this inequality by 5:
Note that 
then the smallest possible whole-number value of x is 7.
Answer: correct choice is B
5% interest compounded annually for 3 years multiplies the initial balance by
... 1.05^3 = 1.157625
5% simple interest for 3 years multiplies the initial balance by 1 + 3*0.05 = 1.15.
The difference of these multipliers is
... 1.157625 - 1.15 = 0.007625
If the difference in account balance is Rs 61.00, then the invested principal amount P is
... P*0.007625 = 61.00
,.. P = 61.00/0.007625 = 8000.00
The sum of money is Rs 8000.
