Answer:
Step-by-step explanation:
If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.
If we introduce a constant of proportionality, k , the relationship would be
t = kg
Given that
When t = 18, g = 10, then
18 = k × 10
k = 18/10 = 1.8
Therefore, the equation representing the relationship is
t = 1.8g
Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.
Answer:
x+5/x+3
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
Order of magnitude can mean different things in different contexts. In math, when we talk about order of magnitude, we generally mean the base-10 logarithm.
__
<h3>population order of magnitude</h3>
The population of the US is estimated at about 3.32×10^8 on 1 Jan 2022. The base-10 log of this number is about 8.52.
The order of magnitude of the US population is about 8.5, not 4.
Answer:
y = 50x
Step-by-step explanation:
the equation for this is y = 50x because for every 50 units we go up by on the graph we go 1 unit to the right so:
slope-intercept form: y = mx + b where m is the slope and b is the y-intercept. Our y-intercept is 0 because that is where our line intersects the y-axis and because it is 0 we do not need to put it in the equation.
y = 50x