The answer
<span>2x - y + z = -3 (1)
2x + 2y + 3z = 2 (2)
3x - 3y - z = -4 (3)
</span> (1) - (2) 3y +2z =5
3 .(1) - 2.(2) 3y+5z = -1<span>
let 's solve
</span>3y +2z =5
3y+5z = -1<span>
z= - 2, and 3y =5+4=9, y=3, so </span>2x - 3 -2 = -3 implies x= 1
<span>
finally x=1, y=3 and z= -2
proof
</span>2x - y + z = -3?? 2.1 - 3 -2 = -3 (true)<span>
</span>
9514 1404 393
Answer:
(W, T, L, S) = (3, 2, 1, 4.1)
Step-by-step explanation:
For some number of wins (W), ties (T), and losses (L), the player's score will be ...
score = 2.2W +0.25T -3L
For 3 wins, 2 ties, and 1 loss, the player's score is ...
2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1
STEP 1:
find the sales tax (decimal form)
x= sales tax
Cost + (Cost * Sales Tax)= Total
plug in known numbers
$9.40 + ($9.40 * x)= $9.87
9.40 + 9.40x= 9.87
subtract 9.40 from both sides
9.40x= 0.47
divide both sides by 9.40
x= 0.47/9.40
x= 0.05 sales tax decimal form
STEP 2:
find sales tax percentage
= 0.05 * 100
or move decimal to the right two decimal places
= 5% sales tax percent form
ANSWER: The sales tax is 5% (or 0.05 in decimal form)
Hope this helps! :)
Answer:
$2561.99 a quarter
Step-by-step explanation:
Just add together what they pay every year, then multiply by 25.5% (because that's the quarterly premium.)
Annual cost = insurance + dental + vision
= 8900 + 772 + 375 = $10047 a year.
Quarterly cost = 25.5% of annual cost
Whenever you see of, think of multiplication!
25.5% = .255
Quarterly cost = .255 * 10047 = <u>$2561.99 a quarter</u>
