10 miles 45 miles
----------------- * --------------------- Cross Multiply
16 kilometres x kilometres
10 x = 720
x = about 72 kilometres
Answer:
(20,5) is NOT a solution of the equation
.
The point (20,5) implies that there are 20 small tables and 5 large tables.
Step-by-step explanation:
We have been given that a catering company is expecting 150 people to attend the wedding. There are two types of tables, ones which can fit 6 people and ones which can fit 10 people.
If there are x tables which can fit 6 people and there are y tables which can fit 10 people, we can express the total number of people that can fit on all available tables as:
.
Since there are total 150 people expected in the wedding, the equation can be framed as:
.
Let us check if the point (20,5) is a solution of the equation.



Since we get a false statement, therefore, (20,5) is NOT a solution of the equation
.
The point (20,5) implies that there are 20 small tables and 5 large tables.
Answer:
Team sack = 9
Team tackle = 17
Step-by-step explanation:
To start with, we'd assume that
Let x = the points scored by Team Sack
Let x + 8 = the points scored by Team Tackle
x + x + 8 = 26
So, go further and solve mathematically
2x + 8 = 26
if we subtract 8 from both sides, we have
2x = 18
Next, we then divide both sides by 2. So that,
x = 18/2
x = 9
Since we assumed the total points for Team Sack to be x, then Team Sack scored 9 points while Team Tackle scored x + 8 points, and that is 17
Answer:
Part A: 299 + 45A + 30B + 50c
Part B: 569 (or 570 if you round it up)
Step-by-step explanation:
Part A:
Because there is no variable for the number of PlayStation 4s, let's assume that there is only one. That will be 299.
If A is the number of wireless controllers and each wireless controller is worth 45 dollars each, the price for the wireless controller(s) is 45A.
If B is the number of wireless controller charging stations and each wireless controller charging station cost 30 dollars, then the price of the wireless controller charging station(s) is 30B
If C is the number of games and each game cost 50 dollars, then the price of the game(s) is 50C
Put that all together, and we get 299 + 45A + 30B + 50c.
Part B:
Let's plug the numbers into the formula.
A = 2
B = 1
C = 3

Answer:
120
Step-by-step explanation:
5!
=5×4!
=5×4×3×2×1
=120