Answer:
x ≤ 6
Step-by-step explanation:
5x - 9 ≤ 21
Step 1. Add 9 to both sides
5x ≤ 30
Step 2. Divide it all by 5
x ≤ 6
110 km * [1 mile / 1.609 km] = 68.365 miles
13.5 liters / [3.785 liter/gal] = 3.567 gallons
68.365 miles / 3.567 gal = 19.17 miles per gallon
Answer:
50 square meter/hour
Step-by-step explanation:
using unitary method-
if 36mins(3/5 of 60mins)= 30 square meter
1min=30/36
60mins=(30/36)*60
in 60mins=50square meter or 50 square meter/hour
We have to determine the value of ![\sum _{m=9} ^{21} (5m+6)](https://tex.z-dn.net/?f=%5Csum%20_%7Bm%3D9%7D%20%5E%7B21%7D%20%285m%2B6%29)
= (5(9)+6) + (5(10)+6) +(5(11)+6) + .......... + (5(21)+6)
= 51+56+61+66+ ........ + 111
Since, the common difference is 5, hence this series is in arithmetic progression.
Sum of AP is given by the formula:
![\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Since, there are 13 terms.
= ![\frac{13}{2}[2(51)+(13-1)5]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B2%2851%29%2B%2813-1%295%5D)
= ![\frac{13}{2}[102+60]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B102%2B60%5D)
= ![\frac{13}{2}[162]](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%5B162%5D)
= ![13 \times 81](https://tex.z-dn.net/?f=13%20%5Ctimes%2081)
= 1053
Therefore, the sum of the series is 1053.
So, Option G is the correct answer.