Answer:
A = 2.25 pi in^2
Step-by-step explanation:
The circumference of a circle is 3pi
so d = 3
Area of circle = pi r^2
r = 3/2 = 1.5
A = (1.5)^2 pi
A = 2.25 pi in^2
Answer:
$0.79.
Step-by-step explanation:
Let T= The price of beach towel,
P = The cost of each postcard.
S = The cost of sunglasses.
H = The cost of hat.
We have been given that while on vacation Craig bought a pair of sunglasses for $15.98. The beach towel cost 0.50 cents more than half the price of sunglasses.
We can set this information in an equation as:
We are told that Craig gave the cashier $40 and got 3.59 change and each postcard cost the same. So we can set this information in an equation as:
![T+5P+S+H=40-3.59](https://tex.z-dn.net/?f=T%2B5P%2BS%2BH%3D40-3.59)
Let us substitute our given values.
Let us combine like terms.
Let us subtract 32.46 from both sides of our equation.
Let us divide both sides of our equation by 5.
Therefore, each postcard costs $0.79.
Answer:
The smaller number can be 8 or
.
Step-by-step explanation:
Consider the provided information.
let the larger number is x and the smaller number is y
A positive number is 3 times another number.
![3y=x](https://tex.z-dn.net/?f=3y%3Dx)
If we add 2 to the larger and 5 to the smaller, then one of them becomes 2 times the other.
Case I: If 2nd number is 2 times to the first number.
![x+2=2(y+5)](https://tex.z-dn.net/?f=x%2B2%3D2%28y%2B5%29)
Substitute the value of x.
![3y+2=2y+10](https://tex.z-dn.net/?f=3y%2B2%3D2y%2B10)
![y=8](https://tex.z-dn.net/?f=y%3D8)
Now substitute the value of y in ![3y=x](https://tex.z-dn.net/?f=3y%3Dx)
![3(8)=x](https://tex.z-dn.net/?f=3%288%29%3Dx)
![x=24](https://tex.z-dn.net/?f=x%3D24)
Therefore, the smaller number is 8.
Case II: If 1st number is 2 times to the second number.
![2(x+2)=y+5](https://tex.z-dn.net/?f=2%28x%2B2%29%3Dy%2B5)
Substitute the value of x.
![2(3y+2)=y+5](https://tex.z-dn.net/?f=2%283y%2B2%29%3Dy%2B5)
![6y+4=y+5](https://tex.z-dn.net/?f=6y%2B4%3Dy%2B5)
![5y=1](https://tex.z-dn.net/?f=5y%3D1)
![y=\frac{1}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7D)
Therefore, the smaller number is
.
Answer:
y = -1/2x + 5
Step-by-step explanation:
x + 2y = 10
2y = -x + 10
y = - 1/2 x + 10/2
Answer:
Step-by-step explanation:
First figure out how much he makes an hour. So, take $24.75 ÷ 3(hours)= $8.25
Now, take $8.25 x 20(hours)= $165.00