Answer:
If Jack adopted half of the spaniel puppies, and there are 4 spaniel puppies, that means that he adopted 2 puppies.
If Carmen adopted half of the beagle puppies, and there are 6 beagle puppies, then Carmen adopted 3 puppies. This means that Carmen adopted more puppies than Jack.
Step-by-step explanation:
1/2 of 4 = 2
1/2 of 6 = 3
Answer:
3 nickels and 15 quarters.
Step-by-step explanation:
Hope this helps!
Answer:
![3v^2\left(5v^6-7v^3\right)=15v^8-21v^5](https://tex.z-dn.net/?f=3v%5E2%5Cleft%285v%5E6-7v%5E3%5Cright%29%3D15v%5E8-21v%5E5)
Step-by-step explanation:
Given the expression
![3v^2\left(5v^6-7v^3\right)](https://tex.z-dn.net/?f=3v%5E2%5Cleft%285v%5E6-7v%5E3%5Cright%29)
Apply the distributive law
![a\left(b-c\right)=ab-ac](https://tex.z-dn.net/?f=a%5Cleft%28b-c%5Cright%29%3Dab-ac)
![a=3v^2,\:b=5v^6,\:c=7v^3](https://tex.z-dn.net/?f=a%3D3v%5E2%2C%5C%3Ab%3D5v%5E6%2C%5C%3Ac%3D7v%5E3)
![=3v^2\cdot \:5v^6-3v^2\cdot \:7v^3](https://tex.z-dn.net/?f=%3D3v%5E2%5Ccdot%20%5C%3A5v%5E6-3v%5E2%5Ccdot%20%5C%3A7v%5E3)
![=3\cdot \:5v^6v^2-3\cdot \:7v^3v^2](https://tex.z-dn.net/?f=%3D3%5Ccdot%20%5C%3A5v%5E6v%5E2-3%5Ccdot%20%5C%3A7v%5E3v%5E2)
![=15v^8-21v^5](https://tex.z-dn.net/?f=%3D15v%5E8-21v%5E5)
Thus, we conclude that
![3v^2\left(5v^6-7v^3\right)=15v^8-21v^5](https://tex.z-dn.net/?f=3v%5E2%5Cleft%285v%5E6-7v%5E3%5Cright%29%3D15v%5E8-21v%5E5)
Answer:
Step-by-step explanation:
Let x represent the batches of cookies that Lionel can bake.
Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. This means that the amount of flour left is
63/8 - 7/4 = (63 - 14)/8 = 49/8
If each batch of cookies takes 3/2 cups of flour, then x batches of cookies will take 3/2 × x = 3x/2 cups of flour. Therefore, the inequality representing the maximum number of batches of cookies Lionel can bake would be
3x/2 ≥ 49/8
x ≥ 49/8 × 2/3
x ≥ 49/12
Answer:
FV= $11,823.42
Step-by-step explanation:
Giving the following information:
Initial investment= $7,560
Interest rate= 0.05 / 4= 0.0125
Number of periods= 9*4= 36 quarters
<u>To calculate the future value, we need to use the following formula:</u>
FV= PV*(1+i)^n
FV= 7,560*(1.0125^36)
FV= $11,823.42