Answer:
Step-by-step explanation:
Let the speed of the car is x, then the speed of motorcycle is x + 20
The distance = 120 km
<u>Time:</u>
- 120/x = 120/(x + 20) + 1
- 120(x + 20) = 120x + x(x +20)
- 120x + 2400 = 120x + x² + 20x
- x² + 20x = 2400
- x² + 2*10x + 10² = 2500
- (x + 10)² = 50²
- x + 10 = 50
- x = 40
Speed of the car is 40 km/h
Speed of the motorcycle is 60 km/h
Well think about it this way -9 times what equals 252 you already know x is going to be a negative number because the outcome is positive so try doing the problem backwards 252/-9=-28 so x=-28
Answer:
Step-by-step explanation:
Rent, wages and car insurance don't vary much. Grocery expenses depend upon the particular groceries purchased each time one goes to the grocery store, and are least likely to be steady / constant from week to week.
The solution of the given inequality is:
x ≤ 15.24
<h3>
How to solve the inequality?</h3>
We know that the maximum that she can spend on gasoline is the 12% of $400.
That is:
(12%/100%)*$400 = 0.12*$400 = $48
Now, we know that each gallon of gas costs $3.15, then if x is the number of gallons of gas that she buys, we have the inequality:
x*$3.15 ≤ $48
To solve the inequality, we need to divide both sides by $3.15
x ≤ $48/$3.15
x ≤ 15.24
So the maximum number of gallons of gasoline that she can buy is 15 gallons (actually a little more).
If you want to learn more about inequalities:
brainly.com/question/18881247
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