If the gum costs 75 cents today, which is 3 cents less than three times what the pack cost 20 years ago, we just need to arrange what we know into an equation.
We know that the price of gum today is 75 cents, so we can leave that on one side of the equation as a constant. Also, since we are dealing only with cents and not dollars, there is no need to shift the decimal point to the left.
? = 75
Now, we can work the equation.
The problem tells us that 75 is 3 cents less than three times the old cost. So, if x is the old cost, we can work out the equation based on that.
It says that it's 3 cents less than 3 times x. The question is basically the equation in word form.
3x - 3 = 75
'3x' being the "three times the old cost" part, '- 3' being the "3 cents less" part, and '75' of course being the current price of a pack of gum.
Option C is your correct answer.
BTW if we were to solve this, we would see that the old price of a pack of gum is:
3x - 3 = 75
+ 3 + 3
3x = 78
/3 /3
x = 26
20 years ago, a 75-cent pack of gum cost 26 cents.
Hope that helped! =)
When it is said that a variable is inversely proportional to another, it is best to write out an equation to represent it.
This means;
y=k/x (where k is a constant number like 1 or 2, etc)
If you double x, the value of y is halved. I have attached a graph that shows this.
Hope I helped :)
Answer:
Step-by-step explanation:
The three angles of a triangle always have to equal 180 in the end, so if you use the method which is the 4 in this instance, it is an obtuse angle that is equal to the top and left angle. You can add 1 and 2 to get 4, and do 4-3 to get 1+2, So, 4=1+2.
Answer:
n = 24
Step-by-step explanation:
(n + 18) and 2n are "complementary angles:" they add up to 90°.
Thus, n + 18 + 2n = 90. Combining the n terms results in 3n + 18 = 90.
Then 3n = 72. Dividing both sides by 3 results in n = 24.
n is 24, so n + 18 is 42 and 2n is 48. Note that 42 and 48 add up to 90.
Answer:
The average rate of speed is 61!
Step-by-step explanation:
183 miles divided by 3 hours of driving is 61 average rate of speed. :)