Answer:
See below in bold.
Step-by-step explanation:
If we add the 2 equations we eliminate x and we get 2y =2.
So y = 1.
Substituting y = 1 in the second equation 1 = x - 3.
So x = 4.
A. One solution: (4, 1).
If we drew a graph we would have 2 lines which intersect at the point (4, 1).
The first thing we must do is replace y = 1 in the equation and clear the value of x:
1 = 7.5x
Clearing x:
x = 1 / 7.5 = 0.13 h
Then, you should keep in mind the following conversion:
1h = 60min
x = (0.13) (h) * (60/1) (min / h) = 7.8 min
answer:
It will take 7.8 minutes to travel 1 mile
Answer:
2) is addition property
3) is multiplication property
Step-by-step explanation:
Answer:
The first 4 guests can arrive in 32,760 ways.
Step-by-step explanation:
The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
4 guests from a set of 15. So

The first 4 guests can arrive in 32,760 ways.
Hey there!
In order to solve this equation for y, you need to use addition, subtraction, and division to combine and simplify the terms. You do this by first eliminating the terms, which you do by completing whatever will make each term equal to zero. Then, you'll repeat this same thing on the other side of the equation, like so:
<span>5y + 3 = 2y – 3x + 5
– 3 – 3
</span>
5y = 2y – 3x + 2
As you can see, I subtracted three from +3 the left side to cancel it out, then repeated that on the right side to the similar term (the constant). Now, just repeat that with your other terms until your equation is equal to y.
5y = 2y – 3x + 2
+ 2y + 2y
<u>7y</u> = <u>–3x + 2</u>
7 7
y = <u>–3x + 2</u>
7
When you can't simplify any more, you have your answer. y will be equal to –3x + 2 over 7.
Hope this helped you out! :-)