Answer:

Step-by-step explanation:

<u>Multiplying both sides by 2</u>


<u>Subtracting 36 to both sides</u>


<u>Dividing both sides by 4</u>

OR

24/7 = 180/x....24 ft to 7 seconds = 180 ft to x seconds
cross multiply
(24)(x) = (180)(7)
24x = 1260
x = 1260/24
x = 52.5....so it will take 52.5 seconds
Answer:
In standard form, it would be 0.0000001901!
Step-by-step explanation:
As you can see, if the exponent is negative, the answer would be a decimal so moving the decimal place 7 times to the left, that would be your answer.
Answer:
21794.495 units/month
Step-by-step explanation:
Some data are missing which i can assume as per requirement of the Question.
Let us consider that profit generated by a product is given by
p(x) =4√x
Also, consider that the profit keeps changing at a rate of $1000 per month.
Now, Using the chain rule we can write
dp/dx=(dp/dt)÷(dx/dt).
So, we can calculate
dp/dx=2x^(-1/2)=2/√x.
As per question we have to find out dx/dt
Since, dx/dt= (dp/dt)/(dp/dx),
so plugging x=1900 we get 1000√1900/2=21794.495 units/month increase in sales.
Answer:
Step-by-step explanation:
We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is
n + q = 53
The VALUE equation relates how much each coin is worth to the total amount of money it equals:
.05n + .25q = 5.65.
Go back to the first equation and solve it for either n or q. I solved it for n:
n = 53 - q
Plug this into the second equation in place of n now to get:
.05(53 - q) + .25q = 5.65 and
2.65- .05q + .25q = 5.65 and
.20q = 3 so
q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are
n + 15 = 53 nickels and
n = 38 nickels.