Answer:
8 groups.
Step-by-step explanation:
We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.
To solve this problem we will find GCF of 24 and 8.
Factors of 24 are: 1,2,3,4,6,8,12 and 24.
Factors of 8 are 1,2,4 and 8.
We can see that greatest common factor of 24 and 8 is 8.
Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.
Answer:
B) 118-x=w
Step-by-step explanation:
If 118 is equal to x then w is also the same as the angle on the right of 118
Answer:
![1.26m](https://tex.z-dn.net/?f=1.26m)
Step-by-step explanation:
Let m be the cost of meal in dollars.
We have been given that the tax on meal at the restaurant is 5% of meal, so the cost of meal after tax will be m plus 5% of m. We can represent this information in an equation as:
![\text{Cost of meal after tax}=m+(\frac{5}{100}*m)](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20meal%20after%20tax%7D%3Dm%2B%28%5Cfrac%7B5%7D%7B100%7D%2Am%29)
![\text{Cost of meal after tax}=m+0.05m](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20meal%20after%20tax%7D%3Dm%2B0.05m)
![\text{Cost of meal after tax}=1.05m](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20meal%20after%20tax%7D%3D1.05m)
We are told that Alice decides to leave a tip of 20% of the cost of the meal plus the tax. This means that tip will be 20% of cost of meal after tax.
![\text{Amount of tip}=1.05m*\frac{20}{100}](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20tip%7D%3D1.05m%2A%5Cfrac%7B20%7D%7B100%7D)
![\text{Amount of tip}=1.05m*0.20](https://tex.z-dn.net/?f=%5Ctext%7BAmount%20of%20tip%7D%3D1.05m%2A0.20)
The total cost of meal will be equal to the cost of meal after tax plus amount paid by Alice as the tip.
![\text{Total cost of meal}=\text{Cost of meal after tax+Amount of tip}](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20meal%7D%3D%5Ctext%7BCost%20of%20meal%20after%20tax%2BAmount%20of%20tip%7D)
![\text{Total cost of meal}=1.05m+0.21m](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20meal%7D%3D1.05m%2B0.21m)
![\text{Total cost of meal}=1.26m](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20cost%20of%20meal%7D%3D1.26m)
Therefore, the expression
represents the total amount of Alice's bill in dollars.
Answer:
Step-by-step explanation:
<u>Dilation is applied by the rule:</u>
- (x, y) → (kx, ky), where k is the scale factor
<u>We have</u>
- (x, y) = (-2, 3) and (kx, ky) = (-8, 12)
<u>Substitute and solve for k</u>
- -8 = -2k and 12 = 3k ⇒ k = 4
<u>So the rule is</u>
Answer:
Step-by-step explanation:
Hello,
we can notice that
![(x+1)^2=x^2+2x+1](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%3Dx%5E2%2B2x%2B1)
so 1 is the missing constant term to get a perfect square
hope this helps