Answer:
D
Step-by-step explanation:
If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.
Answer:
she lost 31 points
Step-by-step explanation:
23--8=-31
28-31=-8
a)
Add the costs of material and labor together:
![3.38 + 5.57 = 8.95](https://tex.z-dn.net/?f=%203.38%20%2B%205.57%20%3D%208.95%20)
Subtract this value from how much Lucy sells a necklace for:
![15.99 - 8.95 = 7.04](https://tex.z-dn.net/?f=%2015.99%20-%208.95%20%3D%207.04%20)
Lucy's profit from a necklace is $7.04.
Set up a fraction where the profit is the numerator, and the sale price is the denominator to get your ratio:
![\frac{7.04}{15.99} = \frac{704}{1599}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7.04%7D%7B15.99%7D%20%3D%20%5Cfrac%7B704%7D%7B1599%7D)
The ratio will be 704/1599.
b)
Divide the profit by the sale price:
![7.04 \div 15.99 = 0.4403](https://tex.z-dn.net/?f=%207.04%20%5Cdiv%2015.99%20%3D%200.4403%20)
Multiply the decimal by 100 to get your percentage:
![0.4403 \times 100 = 44.03](https://tex.z-dn.net/?f=%200.4403%20%5Ctimes%20100%20%3D%2044.03%20)
Check the tenths value to round to the nearest percent:
0 < 5
44.03 ≈ 44
44% of the sale price is profit.
c)
Divide the total amount Lucy earned at the fair by the sale price of an individual necklace:
![223.86 \div 15.99 = 14](https://tex.z-dn.net/?f=%20223.86%20%5Cdiv%2015.99%20%3D%2014%20)
Lucy made 14 necklaces.
To find the total profit Lucy made from the fair, multiply the total amount of necklaces she made by the profit for each necklace:
![14 \times 7.04 = \boxed{98.56}](https://tex.z-dn.net/?f=%2014%20%5Ctimes%207.04%20%3D%20%5Cboxed%7B98.56%7D%20)
Lucy's total profits were $98.56.
Distribute the 32 to the 4x and -2, so you have 128x-64-3x=5-(x+2), then you distribute the “-“ sign to x and 2 so on the right you have 5-x-2. All together you have 128x-64-3x=5-x-2. Combine like terms on both sides so you have 125x-64=-x+3. Add 64 to both sides so you got 125x=-x+67. Also add x on both sides, so your final equation is 126x=67. This doesn’t come out to an even number but it’s ok, your answer in decimal is about 0.532 rounded to the thousandths and if you want a fraction it’s simply 67/126. I’m sorry if this answer isn’t correct I did this in my head.