Answer:
The answer is
and 
Step-by-step explanation:
Given:
-4x-2y=14
-10x+7y=-24
Now, to solve it by elimination:
......(1)
......(2)
So, we multiply the equation (1) by 7 we get:

And, we multiply the equation (2) by 2 we get:

Now, adding both the new equations:




<em>Dividing both the sides by -8 we get:</em>

Now, putting the value of
in equation (1):




<em>Subtracting both sides by 25 we get:</em>

<em>Dividing both sides by -2 we get:</em>

Therefore, the answer is
and 
Answer:
Natalie bought 500 apples at $0.40 each, then she pays $0.40 500 times, this means that the total cost of the 500 apples is:
Cost = 500*$0.40 = $200
Now she threw away n apples from the 500 apples, then the number of apples that she has now is:
apples = 500 - n
And she sells the remaining apples for $0.70 each.
a) The amount that she gets by selling the apples is:
Revenue = (500 - n)*$0.70
b) We know that she did not make a loss, then the revenue must be larger than the cost, this means that:
cost ≤ revenue
$200 ≤ (500 - n)*$0.70
c) We need to solve the inequality for n.
$200 ≤ (500 - n)*$0.70
$200/$0.70 ≤ (500 - n)
285.7 ≤ 500 - n
n + 285.7 ≤ 500
n ≤ 500 - 285.7
n ≤ 214.3
Then the maximum value of n must be equal or smaller than 214.3
And n is a whole number, then we can conclude that the maximum number of rotten apples can be 214.
Answer:
6.25 inches
Step-by-step explanation:
25/4=6.25

A=10, B=11, C=12, etc.


Now, the "only" thing that remains to do is solving the above equation.
While making this problem I only made sure it has a solution. I didn't try to solve it myself and I didn't know it will end up with such "convoluted" polynomial. Sorry to everyone who tried to solve it... m(_ _)m
I think the best way to approach it is using the rational root theorem since we know that
. Moreover we can deduce that
since there is
and
.
After you succesfully solve it, you should get the answer
.
Answer:
45 minutes
Step-by-step explanation:
97-52 = 45