This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
![0.05x + 0.1y + 0.25z = 3.65](https://tex.z-dn.net/?f=0.05x%20%2B%200.1y%20%2B%200.25z%20%3D%203.65)
Dimes: 3 times greater than nickels:
This means that:
![y = 3x](https://tex.z-dn.net/?f=y%20%3D%203x)
Quarters: One greater than double the number of nickels:
This means that:
![z = 2x + 1](https://tex.z-dn.net/?f=z%20%3D%202x%20%2B%201)
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
![0.05x + 0.1y + 0.25z = 3.65](https://tex.z-dn.net/?f=0.05x%20%2B%200.1y%20%2B%200.25z%20%3D%203.65)
![0.05x + 0.1(3x) + 0.25(2x+1) = 3.65](https://tex.z-dn.net/?f=0.05x%20%2B%200.1%283x%29%20%2B%200.25%282x%2B1%29%20%3D%203.65)
![0.05x + 0.3x + 0.5x + 0.25 = 3.65](https://tex.z-dn.net/?f=0.05x%20%2B%200.3x%20%2B%200.5x%20%2B%200.25%20%3D%203.65)
![0.85x = 3.4](https://tex.z-dn.net/?f=0.85x%20%3D%203.4)
![x = \frac{3.4}{0.85}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B3.4%7D%7B0.85%7D)
![x = 4](https://tex.z-dn.net/?f=x%20%3D%204)
y and z:
![y = 3x = 3(4) = 12](https://tex.z-dn.net/?f=y%20%3D%203x%20%3D%203%284%29%20%3D%2012)
![z = 2x + 1 = 2(4) + 1 = 9](https://tex.z-dn.net/?f=z%20%3D%202x%20%2B%201%20%3D%202%284%29%20%2B%201%20%3D%209)
There are 9 quarters, 4 nickels and 12 dimes.
A similar question is found at brainly.com/question/17096268
Answer:
Step-by-step explanation:
Simply we know this is an isosceles triangle meaning that:
The other angle is also 35.
With this information, we can say that as a triangle adds up to 180, we can put this in a formula:
x+35+35 = 180
x+70 = 180
x = 110
Let s denote the number of pages in each issue of the sports magazine.
Let t denote the number of pages in each issue of the technology magazine.
Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.
This can be written in equation as,
![12s=10t+32](https://tex.z-dn.net/?f=12s%3D10t%2B32)
Since, it is given that, "Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine".
This can be written in equation as,
![s=t-18](https://tex.z-dn.net/?f=s%3Dt-18)
Thus, the set of equations that represent the given data is
and ![s=t-18](https://tex.z-dn.net/?f=s%3Dt-18)
Hence, Option A is the correct answer.
Answer:
x = -1
y = 4
Step-by-step explanation:
i believe this shape is a rhombus because the diagonals are perpendicular and bisectors, meaning m∡A = m∡B = m∡C = m∡D
so AC = CB = BC = DA
y + 1 = 2y - 3
1 = y - 3
4 = y
Plugging in 4 for 'y' means all sides are equal to 5
find x: 2x + 7 = 5
2x = -2
x = -1
I don't know your exact question but 5400 divided by 8 is 675