Answer:
<em>y < 9</em>
Step-by-step explanation:
y - 2 < 7
This is a one-step inequality. You have y - 2 on the left side. You want y alone on the left side. If you add 2 to the left side, you eliminate the -2. You must do the same operation to both sides of an inequality, so add 2 to both sides of the inequality to eliminate the -2 on the left side.
y - 2 + 2 < 7 + 2
y < 9
Answer: y < 9
A function behaving as you state is a linear function, which means that the output varies directly with the input.
So, there exists some constant such that your function is in the form
In fact, if you double the input, you have
And similarly
Note that this is a guess, it may happen that output doubles (triples) if you double (triple) the input, and still the function is not like .
For example, the function
is such that
So, it may seems that doubling and tripling the input doubles and triples the output, but this is not true for every input, for example,
And so doubling the input didn't double the output.
Answer:14
Step-by-step explanation:
2:3
14:21
in 14 their is 2 7's
in 21 their is 4 7's
Answer: After 12 days, they receive both again.
Step-by-step explanation:
Since we have given that
Every 4 th day grocery store gets a shipment of pineapples.
Every 6 th day grocery store gets a shipment of bananas.
We need to find the number of days that they will receive both again.
We will do "LCM" of 4 and 6.
L.C.M. of 4 and 6 = 12
So, after 12 days, they receive both again.
Answer:
3 nights
Step-by-step explanation:
Set up an equation that represents the problem:
y = 1.25x + 3.95
Where y is the total cost and x is the number of additional nights you rent the movie
Substitute:
7.70 = 1.25x + 3.95
Subtract 3.95 on both sides:
7.70 = 1.25x + 3.95
-3.95 -3.95
3.75 = 1.25x
Divide by 1.25 on both sides:
3.75 = 1.25x
/1.25 /1.25
3 = x
Therefore, you kept the movie for 3 additional nights.