1.3 is the nearest tenth for <span>1.34615384</span>
Thirty-two million, five thousand, eight
What do the two variables represent?
The two variables represent the number of nights or squires at the jousting contest.
Write a system of equations.
let k = number of knights and let s = number of squires
3k + 2s = 32
2k + s = 19
How many knights are there? <u>6</u>
How many squires are there? <u>7</u>
Solving:
solve for s in the second equation by subtracting 2k from both sides
2k + s = 19
s = 19 - 2k
substitute into first equation
3k + 2(19-2k) = 32
distribute 2 into 19-2k
3k + 38 - 4k = 32
add like terms
-k + 38 = 32
subtract 38 from both sides
-k = -6
divide by -1
k = 6
subsitute into the equation for s
s = 19 - 2k
s = 19 - 2(6)
s = 19 - 12
s = 7
Answer:
24x^2 - 244x + 460
Step-by-step explanation:
Hello!
This is a bit harder than problems you usually see, yet you solve it the same way: FOIL!
FOIL is my preference, so I will be using it to solve (4x - 10)(6x - 46)
FOIL stands for:
First
Outside/Outer
Inside/Inner
Last
This shows you the order in which you multiply the binomials! Let's do it:
First: 4x * 6x = 24x^2
Outside: 4x * -46 = -184x
Inside: -10 * 6x = -60x
Last: -10 * -46 = 460
24x^2 - 184x - 60x + 460
Now, we combine like terms to simplify it to the farthest:
24x^2 - 244x + 460
That's it! Hope I helped,
-Mary :)
