Answer:
Step-by-step explanation:
Factor out to simplify:
15d+105=4d-16+11d
15d+105=15d-16
subtract 15d from both sides
105=-16
this means that there are no solutions for d
Answer:
First, a rational number is defined as the quotient between two integer numbers, such that:
N = a/b
where a and b are integers.
Now, the axiom that we need to use is:
"The integers are closed under the multiplication".
this says that if we have two integers, x and y, their product is also an integer:
if x, y ∈ Z ⇒ x*y ∈ Z
So, if now we have two rational numbers:
a/b and c/d
where a, b, c, and d ∈ Z
then the product of those two can be written as:
(a/b)*(c/d) = (a*c)/(b*d)
And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:
(a*c)/(b*d)
is the quotient between two integers, then this is a rational number.
Answer: Heater -Rs 2400; Fan- Rs 1600
Step-by-step explanation:
Given
Ajay bought a fan and a heater for Rs 4000
Suppose the price of fan is x and that of heater is 4000-x
Profit on the fan is 
Loss on heater is 
Total profit is 7% i.e. 

Thus, the price of heater is 
Price of fan is 
Price of heater is 
Answer:
He will need to buy 2 six-packs and then 4 single bottles.
Explanation:
2((4)2) = 16 (This is how many he will need to get)
16/6 = 2 packs and 4 leftover