Answer:
x = -0.5
Step-by-step explanation:
Here we have the sentence:
"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"
The first part:
"3 to the power 2x+3 is subtracted by 9..."
This can be written as:

"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"

Let's solve this for x.
First, we can add 9 in both sides:

We also know the relations:

and

We can write the left part as:

And the right side as:

Then the equation becomes:

Now let's move both terms with 9^x to the left side:




Now remember that:
Ln(a^b) = b*Ln(a)
Then if we apply the Ln( ) function to both sides, we get:



Answer:
75.6 miles
Step-by-step explanation:
Multiply 4.2 by 18
Answer:
2
Step-by-step explanation:
Given Data:
total distance= 850 miles
gas tank holds gas= 15 gallons
mileage = 72/3.2 miles/gallon
if
72 miles uses= 3.2 gallon
then
850 miles uses= x gallons
by cross-multiplication we get
72x=3.2(850)
x=37.778
i.e. 850 miles will use 37.7778 gallon of gas
Asgas tank holds 15 gallons
number of times gas tank is used up= 37.3/15
= 2.518
rounding off
number of times gas tank is used up=3
As they filled the gas tank at the start of the road trip, hence 3-1=2
ADDITIONAL STOPS FOR GAS WILL THEY NEED TO MAKE TO GET TO THEIR DESTINATION =2 !
Answer:
B
Step-by-step explanation:
Answer:
288
Step-by-step explanation:
0.40hrs × 720 calories = 288 calories burned