If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
Answer:
11.6--------------------------------------
Explanation:
See the attached image for a visual reference
The distance from point D to E is 21 units. Point C is the midpoint, so CD is 10.5 units long (21/2 = 10.5)
We have a right triangle ACD. The legs are
AC = 5
CD = 10.5
The hypotenuse is
AD = x
Because AD is another radius of the same circle
Use the pythagorean theorem to find x
a^2 + b^2 = c^2
5^2 + 10.5^2 = x^2
25 + 110.25 = x^2
135.25 = x^2
x^2 = 135.25
x = sqrt(135.25)
x = 11.629703349613
which rounds to
11.6 when rounding to the nearest tenth (one decimal place)
Answer:
47%
Step-by-step explanation:
We can find the percent of the daily allowance by finding what percent 30 is of 64:
30/64 = 0.468 or approx. 47%
Answer:
![2010\leq{x}\leq{2019}](https://tex.z-dn.net/?f=2010%5Cleq%7Bx%7D%5Cleq%7B2019%7D)
Step-by-step explanation:
- The function f(x) shows the number of cell tower users after "x" years from the year 2010.
- Then, the dependent varible of the function f(x) are the number of cell tower users after x years from 2010, and the independent variable of this function, "x", are the years that have passed since 2010, included 2010.
- This means that the independent variable should take the values of the years from 2010, which represent the domain (values that x variable can take), that are all the years between 2010 and 2019 (which is the present year).
Answer:
x=5x66=300
Step-by-step explanation: