Answer:
11/6 as an improper fraction
Step-by-step explanation:
1 5/6 is 11/6 as an importer fraction and 1.86 as a decimal
Answer: y = - 466.375
Step-by-step explanation:
y varies jointly as x and z.
This means that y varies directly as x and also varies directly as z.
In order to remove the proportionality symbol, we will introduce a constant of proportionality, k. Therefore,
y = kxz
The next step is to determine the value of k
if y = 205 when x = –5 and z = –8.
we will substitute these values into the equation to determine k.
205 = k × -5 × -8
205 = 40k
k = 205/40 = 5.125
Therefore, the equation becomes
y = 5.125xz
We want to determine y when x = - 13 and z = 7
y = 5.125 × - 13 × 7
y = 5.125 × - 91
y = - 466.375
<u>Answer</u>:
There is enough fuel for the trip and the relative distance is 19 miles
<u>Explanation</u>:
Given Sedan drives
10 miles north
15 miles east
13 miles south
15 miles west
22 miles north
Then total distance = 10 + 15 + 13 + 15 + 22 = 75 miles
There are 5 gallons of gas left and sedan gets 20 miles per gallon
20 miles = 1 gallon
75 miles = 75/20 = 3.75 gallons
Gas left = 5 – 3.75 = 1.25 gallon
So, there is enough fuel for the trip
Relative distance = 10 (north) + 15 (east) – 13 (south) – 15 (west) + 22 (north) = 19 miles
