Answer:
I only know the first one....
4+2+1=7
49p/7= 7p
4units:2units:1units
4×7p= 28p
2×7p= 14p
1×7p= 7p
divided it is...
28p:14p:7p
Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have
Using the section formula expressed as
![[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
In this case,
where
Thus, by substitution, we have
![\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5B%5Cfrac%7B1%282%29%2B2%28-7%29%7D%7B1%2B2%7D%2C%5Cfrac%7B1%284%29%2B2%28-2%29%7D%7B1%2B2%7D%5D%20%5C%5C%20%5CRightarrow%5B%5Cfrac%7B2-14%7D%7B3%7D%2C%5Cfrac%7B4-4%7D%7B3%7D%5D%20%5C%5C%20%3D%5B-4%2C%5Ctext%7B%200%5Crbrack%7D%20%5Cend%7Bgathered%7D)
Hence, the y-coordinate of the point P is
Answer: c.) Sales tax varies by state, so you can travel to a state with a lower tax rate and make your purchase there.
Step-by-step explanation:
Sales tax rates vary significantly from state to state, so you can save money if you know what state has a lower sales tax rate, so you can travel to that state and make your purchase there.
There is a list of states with lower sales tax rates:
1. Alaska 1.43% Sales tax rates
2. Hawaii 4.41% Sales tax rates
3. Wyoming 5.36% Sales tax rates
4. Wisconsin 5.44% Sales tax rates
5. Maine 5.50% Sales tax rates
6. Virginia 5.65% Sales tax rates
<h2><em>Spymore</em></h2>
Cost of Alejandro's food = $12
Tip paid by Alejandro = 20% of his bill = 20% of 12 = 2.4
Cost of Mia's food = $18
Tip paid by Mia = 15% of his bill = 15% of 18 = 2.7
Total Tip Paid = 2.4+2.7 = 5.1
Total Check Amount = 12 + 18 = 30
Total tip paid by Alejandro and Mia is r% of the total check amount.
So, we need to determine what % of 30 is equal to 5.1%
⇒ r% × 30 = 5.1
⇒ r% = 5.1 / 30
⇒ r% = 17%
Hence, r is 17%
Answer:
[-1, ∞ )
Step-by-step explanation:
The use of parentheses is essential here. I am assuming that you meant:
y=√(x-5) - 1
Note that √(x-5) has the range [0, ∞ ). The domain is [5, ∞ ).
Thus, y=√(x-5) - 1 has the range [-1, ∞ )
