Answer:
Step-by-step explanation:
Let x be the number of miles.
We have been given that Sully's car has an average fuel economy of 28 miles per gallon. The capacity of the fuel tank is 16 gallons.
Let us find the number of miles that Sully can drive with 16 gallons.
This means that initially Sully's car has can drive 448 miles, so at x equals 0, y will be 448.
As the car consumes 1 gallon for each 28 miles driven, so the gallons of fuel consumed in traveling x miles will be 28x. As each gallon of fuel will decrease with each 28 miles traveled, so slope of our function will be -28.
Upon substituting slope and y-intercept in slope-intercept form (y=mx+b), we will get our function as:
Therefore, our required function will be: .
Answer:
7x+3y-z
Step-by-step explanation:
Starting off by separating the different variables, you should get:
(3x + 2x ) + (-z + 2z) + (3y)
Then you simplify in between the parentheses...
(5x) + (z) + (3y)
And you finally simplify the equation with only a single number of a certain variable to get your answer...
5x + z + 3y
Answer:
The correct answer is
Step-by-step explanation:
Method 1
We want to simplify,
The double negatives becomes positive,
We now add the whole number parts and the fractions separately
This will give us,
The least common denominator for the fractional parts is 9.
Method 2
We want to simplify,
The double negatives becomes positive,
We first convert the mixed numbers to improper fractions to obtain,
We carry out the multiplication in the numerator to get,
We add in the numerator to get,
The least common denominator is .
We convert back to mixed numbers to get,
So first we need to know this:
Two negative signs make a positive
Two positives make a positive
One positive and one negative makes a negative.
So we can turn the equation to -4 -44 - - 1
2 minuses make plus
-4 -44 +1 = -48 +1 = -47
Answer:
2 and 12;
4 and 10;
5 and 9
6 and 8
Step-by-step explanation:
Given
Roll of two number cubes
Required
Determine the sums which have equal chance
Represent the sample space of both number cubes with S1 and S2
Next, get the outcome of roll two number cubes
Outcome =
Next, get the sample space;
Reorder from lowest to highest
Next, form a frequency table
Sum -- Frequency
2 ---- -- 1
3 ---- -- 2
4 ---- -- 3
5 ---- -- 4
6 ---- -- 5
7 ---- -- 6
8 ----- -- 5
9 - ------ 4
10 --- -- 3
11 --- ---- 2
12 ------ 1
From the above table, we can now determine the two sums that have equal probability;
<em>The two sums that have equal probability have the same frequency;</em>
Hence;
<em>2 and 12 have the same chance of occurring</em>
<em>4 and 10 have the same chance of occurring</em>
<em>5 and 9 have the same chance of occurring</em>
<em>6 and 8 have the same chance of occurring</em>