9514 1404 393
Answer:
32 gallons
Step-by-step explanation:
There are a couple of ways you can go at this. First of all, you can verify that gallons are proportional to miles.
The ratio of miles to gallons in each case is 30:
600/20 = 450/15 = 300/10 = 30
This tells you that the ratio of interest is ...
960/x = 30
960/30 = x = 32
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The number 960 is the sum ...
960 = 600 + 300 + (600/10)
So, we expect the number of gallons to have a similar formula.
gallons for 960 = (gallons for 600) +(gallons for 300) +(1/10)(gallons for 600)
gallons for 960 = 20 +10 +2
gallons for 960 miles = x = 32
Answer:
See below
Step-by-step explanation:
We shall prove that for all . This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let , then we have , and evidently, .
Assume that is divisible by for . Then, by this assumption, .
Now, let . Then:
Since , we may conclude, by the axiom of induction, that the property holds for all .
Answer:
Step-by-step explanation:
Convert to a decimal
Step 1. Reduce the fraction to its lowest terms.
Divide both numerator and denominator by their greatest common factor (12)
Step 2. Convert the denominator to a power of 10
Multiply both numerator and denominator by 2.
Step 3. Divide the numerator by the denominator
Dividing by 10 moves the decimal point one place to the left.
I believe the answer is 40 when it’s rounded
To simplify this, you need to apply the exponent rule;
.
Your answer should be
.
Hope this helped!