Number one is 33 < 1118 so true and number two is infinite solutions so it would be true as well
Answer:
a. Weekly Gross pay:
= 9.50 * 20
= $190
b. Federal tax withheld:
= 10% * 190
= $19
c. FICA Tax withheld:
= 5.65% * 190
= $10.74
d. State tax withheld:
= 5% * 190
= $9.50
e. Weekly net pay
= Gross pay - taxes
= 190 - 19 - 10.74 - 9.50
= $150.76
f. Percentage withheld for taxes:
= (19 + 10.74 + 9.50) / 190 * 100%
= 20.7%
Let d is the number of days of rental car
At Trinity's Tire World, $50 a day plus $75 fee: 50*d + 75
At India's Auto, $35 a day plus $105 fee: 35*d + 105
To find out after how many days, they both cost the same
50*d + 75 = 35*d + 105
50d + 35d = 105 - 75
15d = 30
d = 30/15
d = 2
Answer: after 2 days, they both cost the same amount of money
Proof:
50*d + 75 = 50*2 + 75 = 100 + 75 = 175
35*d + 105 = 35*2 + 105 = 70 + 105 = 175
Hope that helps
Answer:
x = 11.75
y = 11.5
Step-by-step explanation:
By Elimination Method:
7x - 3y = 48 ---- (1)
-
<u> 2x + y = 35 ----</u>- (2)
Multiply equation (1) by 2 and equation (2) by 7
14x - 6y = 96
-
<u> 14x + 7y = 245 </u>
<u> 0 -13y = -149</u>
-13y = -149
y = -149/-13
y = 11.5
From equation (2); replace y with 12
2x + y = 35
2x + 11.5 = 35
2x = 35 - 11.5
2x = 23.5
x = 11.75
Answer:
1 / 663
Step-by-step explanation:
First, let's find the total number of ways you can pick 2 cards from the deck. This is 52 * 51 = 2652 because there are 52 cards available for your first pick, and after you pick one, you'll have 51 left for your second pick.
There are 4 5's (one for every suite) and only 1 Queen of Hearts in a deck of cards. Therefore, the total number of successful outcomes will be 4 * 1 = 4.
The probability of picking a 5 and then a Queen of Hearts is 4 / 2652 =
1 / 663. Hope this helps!