Please help / The Hotel is 163 miles from your house. your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.

2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .

3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take

The answers are:

Step-by-step explanation:

Given:

Distance of Hotel and car = 163 miles

Distance travelled by car per liter = 10.5 miles

The number of liters will be obtained by dividing the total distance by distance travelled in one liter.

So,

2. Cost for petrol:

Cost of petrol per liter = 138.9 pence per liter

Then the total cost of petrol will be:

3. Time taken for journey

Distance travelled in an hour = speed = 50 miles per hour.

The speed is given by the formula:

Putting the values

It will take: 3 hours and 0.26*60 = 15.6 minutes => 3 hours 16 minutes

Hence,

The answers are:

536

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752