You have to use the formula cost over quantity
Divide 8 and $2.88
The answer is.
0.36
Answer:
10 nickels and 10 quarters
Step-by-step explanation:
Given
Number of coins: 20
Vaiue of coins = $3.00
Required
Number of Nickels and Quarters;
<em>Let N =Nickels and Q =Quarters</em>
The total coins is represented as:
![N + Q = 20](https://tex.z-dn.net/?f=N%20%2B%20Q%20%3D%2020)
1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So
![0.05N + 0.25Q = 3](https://tex.z-dn.net/?f=0.05N%20%2B%200.25Q%20%3D%203)
Make N the subject of formula in the first equation
![N = 20 - Q](https://tex.z-dn.net/?f=N%20%3D%2020%20-%20Q)
Substitute this in the second equation
![0.05(20 - Q) + 0.25Q = 3](https://tex.z-dn.net/?f=0.05%2820%20-%20Q%29%20%2B%200.25Q%20%3D%203)
![1 - 0.05Q + 0.25Q = 3](https://tex.z-dn.net/?f=1%20-%200.05Q%20%2B%200.25Q%20%3D%203)
Collect like terms
![-0.05Q + 0.25Q = 3 - 1](https://tex.z-dn.net/?f=-0.05Q%20%2B%200.25Q%20%3D%203%20-%201)
![0.2Q = 2](https://tex.z-dn.net/?f=0.2Q%20%3D%202)
Multiply both sides by 5
![5 * 0.2Q = 2 * 5](https://tex.z-dn.net/?f=5%20%2A%200.2Q%20%3D%202%20%2A%205)
![Q = 10](https://tex.z-dn.net/?f=Q%20%3D%2010)
Recall that N = 20 - Q
![N = 20 - 10](https://tex.z-dn.net/?f=N%20%3D%2020%20-%2010)
![N = 10](https://tex.z-dn.net/?f=N%20%3D%2010)
Answer:
Angle C
Step-by-step explanation:
By applying sine rule in the given triangle,
![\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinB%7D%7D%7BCD%7D%3D%5Cfrac%7B%5Ctext%7BsinC%7D%7D%7BBD%7D%3D%5Cfrac%7B%5Ctext%7BsinD%7D%7D%7BBC%7D)
![\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinB%7D%7D%7B%5Ctext%7BsinC%7D%7D%3D%5Cfrac%7B%5Ctext%7BCD%7D%7D%7B%5Ctext%7BBD%7D%7D)
Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.
Since, BD > BC > CD
Therefore, Opposite angles of these sides will be in the same ratio.
∠C > ∠D > ∠B
Largest angle of the triangle is angle C.
3 - (7a + 1) =
3 - 7a - 1 =
-7a + 2 <===
Answer:
I am not sure but i think the midpoint is 4.5 and 6