Answer:-523/52
Step-by-step explanation:
We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:
![Area=a^{2}\\141=a^{2}\\a=\sqrt{141}=11.874](https://tex.z-dn.net/?f=Area%3Da%5E%7B2%7D%5C%5C141%3Da%5E%7B2%7D%5C%5Ca%3D%5Csqrt%7B141%7D%3D11.874)
We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.
Hence, we can write:
![\text{Amount of fencing}=\text{Perimeter of square}](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20fencing%7D%3D%5Ctext%7BPerimeter%20of%20square%7D)
![\text{Amount of fencing}=4a=4(11.874)=47.496](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20fencing%7D%3D4a%3D4%2811.874%29%3D47.496)
Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.
Firstly we need to find out how much is 17% from 51,000:
51 000 * 17% =
= 51 000 * 17/100 =
= 510 * 17 =
= 8 670
So I spent $8 670 on the fresh flowers. Putting it into a proportion:
51 000 : 8 670
We can simplify it:
5 100 : 867 (divided by 2)
1 700 : 289 (divided by 3)
100 : 17 (divided by 17)
Answer: I spent $8 670 on the fresh flowers, which was 17/100 of the whole budget.
Answer:
$1.2
Step-by-step explanation:
Given the total cost, in dollars, given by the function c(p) = 1.2p.
If p = 1
c(1) = 1.2(1)
c(1) = $1.2
If p = 2
c(2) = 1.2(2)
c(2) = $2.4
If p = 3
c(3) = 1.2(3)
c(3) = $3.6
If p = 4
c(4) = 1.2(4)
c(4) = $4.8
Common difference = c2 - c1 = c3 - c2 = c4 - c3
Common difference = 2.4 - 1.2 = 3.6 - 2.4 = 4.8 - 3.6 = 1.2
Hence the common difference is $1.2
10b+9-3b=2
7b+9=2
7b/7=-7/7
b=-1