Answer:
Step-by-step explanation:
85-x=100
85 represents sarah's hw
x represent Emily's hw
100 represents total completion
Answer:
k = -5
Step-by-step explanation:
The variable is k
9k + 1 = -9 + 7k
-7k -1
2k = -10
2k/2 -10/2
k = -5
:)
Step-by-step explanation:
We need to find each of the following as a rational number in the form of p/q
(a) (3/7)² (b) (7/9)³ (c) (-2/3)⁴
Solution,
(a) (3/7)²
![(\dfrac{3}{7})^2=\dfrac{9}{49}](https://tex.z-dn.net/?f=%28%5Cdfrac%7B3%7D%7B7%7D%29%5E2%3D%5Cdfrac%7B9%7D%7B49%7D)
(b) (7/9)³
![(\dfrac{7}{9})^3=\dfrac{7\times 7\times 7}{9\times 9\times 9}\\\\=\dfrac{343}{729}](https://tex.z-dn.net/?f=%28%5Cdfrac%7B7%7D%7B9%7D%29%5E3%3D%5Cdfrac%7B7%5Ctimes%207%5Ctimes%207%7D%7B9%5Ctimes%209%5Ctimes%209%7D%5C%5C%5C%5C%3D%5Cdfrac%7B343%7D%7B729%7D)
(c) (-2/3)⁴
![(\dfrac{-2}{3})^4=\dfrac{-2\times -2\times -2\times -2}{3\times 3\times 3\times 3}\\\\=\dfrac{16}{81}](https://tex.z-dn.net/?f=%28%5Cdfrac%7B-2%7D%7B3%7D%29%5E4%3D%5Cdfrac%7B-2%5Ctimes%20-2%5Ctimes%20-2%5Ctimes%20-2%7D%7B3%5Ctimes%203%5Ctimes%203%5Ctimes%203%7D%5C%5C%5C%5C%3D%5Cdfrac%7B16%7D%7B81%7D)
Hence, this is the required solution.
Answer:
$60
Step-by-step explanation:
40 text messages × .25 each = $10. Plus the $50 per month is $60.