Answer:
Step-by-step explanation:
We can set up the following system of equations:
, where 
is the number of dimes she has and 
is the number of nickels she has.
Multiplying the second equation by -5 and adding both equations lets us isolate and solve for :
Plugging 
into any of the two equations will let us solve for :
.
Therefore, she has 14 nickels.
Please write that as 60^(1/2) for greater clarity.
Our job here is to find the largest perfect square factor of 60. Note that 60 = 4*15; 4 is a perfect square, but 15 is not.
Thus, 60^(1/2) = 2sqrt(15).
Answer:
Step-by-step explanation:
Given that prices for a pair of shoes lie in the interval
[80,180] dollars.
Delivery fee 20% of price.
i.e. delivery fee will be in the interval [4, 9]
(1/20th of price)
Total cost= price of shoedelivery cost
Hence f(c) = c+c/20 = 21c/20
The domain of this function would be c lying between 80 to 180
So domain =[80,180]
---------------------------------
Amount to be repaid = 42 dollars
Once he received this amount, the price would be
105+42 =147
But since price range is only [21*80/20, 21*180/20]
=[84, 189]
Since now Albert has 147 dollars, he can afford is
[80,147]
Answer:
15150 is the required sum.
Step-by-step explanation:
Gauss method of summing sequences like this is to add the first term to the last term, the second term to the second to the last term and so on until you get to the middle. By doing this, you will always get the same sum. Then you divide the number of terms by two, because you are technically adding the first half of the sequence to the second half. You then multiply the sum of each pair that gave the same number with the number of terms that has been divided by 2. For this problem we have:
3 + 300 = 303
6 + 297 = 303
9 + 294 = 303
and so on.
100÷ 2 = 50.
Therefore we have 50 * 303 = 15150 is the required sum.
Answer:
So W is going to stand for width and L is going to stand for length.
L= 2W+6
78=2L + 2W
Those are the two equations you will use. So plug in L=2W+6 into the other one and solve.
78= 4W+12 +2W
(simplify)
78=6W+12
(-12 from both sides)
66=6W
(divide by 11)
W=11
Replug W into your equation to find L.
L=22+6
(simplify)
L=28
I hope this is right
Step-by-step explanation:
