This is how I'd set it up:
405/20 = 243/x
this means the mpg (miles / gallons) for 1 situation is the same as the mpg for the other situation (because the rate is the same)
then just cross multiply and solve:
405x=243*20 or 405x=4860 or x = 12
he would need 12 gallons of gas for 243 miles
Answer:
-11/10 or -1.1
Step-by-step explanation:
To start, let's get rid of those pesky decimals by multiplying everything by 2. Then we get 9 + 20r = -13. Now, let's isolate the r by subtracting 9 from both sides to get 20r = -22. Finally, we need to divide everything by 20 to get r = -11/10 or -1.1.
Answer:
The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Begin by dividing by 5
2x + 4 = 3
Is this written as 2^(x + 4) = 3? I think it is.
Take the log of both sides
log 2^(x + 4) = log(3)
(x + 4) * log(2) = log 3
log 2 = 0.30103
log 3 = 0.47712
(x + 4) = log2 / log3
x + 4 = 0.63093 Add 4 to both sides
x = -3.369 Rounded to the nearest thousandth
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If you mean the question exactly as it is written (the 4 is not part of the power)
5(2^x + 4) = 15
2^x + 4 = 3
2^x = 3 - 4
2^x = - 1
This can't be done 2 to any power should be >0.
if x>0 then this will give an ever increasing number
if xK0 then this will give an ever decreasing answer but still greater than 0.
No value will make 2^x go to something minus.
If I have misread this in some way, leave a note and I will get back to you.
1 Answer:
10 pound of sugar
Step-by-step explanation: