Step-by-step explanation:
1) 7/23 + 11/23 + 9/23
7+11+9/23
27/23
= 1 4/23
2) 2 5/7 + 9 4/7
11 9/7
= 11.12
3) 9/20 + 3/5
9+12/20
21/20
= 1 1/20 or 1.05
Answer:
True, 3 tenths is closer to one whole
Step-by-step explanation:
↓ ↓
Answer:
0.495
Explanation:
Given the expression:
![0.55-1.645\sqrt[]{\frac{0.55(1-0.55)}{220}}](https://tex.z-dn.net/?f=0.55-1.645%5Csqrt%5B%5D%7B%5Cfrac%7B0.55%281-0.55%29%7D%7B220%7D%7D)
Begin by simplifying the expression under the radical (square root) sign.
![\begin{gathered} =0.55-1.645\sqrt[]{\frac{0.55(0.45)}{220}} \\ =0.55-1.645\sqrt[]{\frac{0.2475}{220}} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D0.55-1.645%5Csqrt%5B%5D%7B%5Cfrac%7B0.55%280.45%29%7D%7B220%7D%7D%20%5C%5C%20%3D0.55-1.645%5Csqrt%5B%5D%7B%5Cfrac%7B0.2475%7D%7B220%7D%7D%20%5Cend%7Bgathered%7D)
Using a calculator, we evaluate the radical:
![\begin{gathered} =0.55-1.645\sqrt[]{0.001125} \\ =0.494825 \\ \approx0.495\text{ (to 3 decimal places)} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D0.55-1.645%5Csqrt%5B%5D%7B0.001125%7D%20%5C%5C%20%3D0.494825%20%5C%5C%20%5Capprox0.495%5Ctext%7B%20%28to%203%20decimal%20places%29%7D%20%5Cend%7Bgathered%7D)
Answer: See explanation
Step-by-step explanation:
Since Veronica buys 2 games for $30.00 each and a game controller for $19.59. The total cost to be paid will be:
= (2 × $30.00) + $19.59
= $60.00 + $19.59
= $79.59
Since Veronica lives in San Jose, California, where sales tax is 9.25%, the sales tax will be:
= 9.25% × $79.59
= 0.0925 × $79.59
= $7.36
Total amount paid = $79.59 + $7.36 = $86.95
