Answer:
c. 3 / 13
d. 2 / 13
Step-by-step explanation:
c.
A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.
So, there are 52/4= 13 cards of each suit.
Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.
So, the number of total picture cards = 4*3 = 12
the number of cards are 52
theoretical probability formula: P = favorable events/ possible events
P = 12 / 52
P = 3 / 13
d.
there are four aces and four sevens in the deck
so favorable events = 4 + 4 = 8
possible eventas = 52
P = 8 / 52
P = 2 / 13
Answer:
Step-by-step explanation:
The polynomial is simplified by combining like terms. Like terms are identified more easily if the variables in each term are written in the same order. We usually like to use alphabetical order. Two of the like terms have opposite coefficients, so they cancel. The result is ...
(3 1/2 -2 1/2)xy² +(-2 4/5 +2 4/5)x²y
= xy² . . . . simplified expression
__
For x = 1, y = -2, the value of the expression is ...
(1)(-2)² = 4
Answer:
Step-by-step explanation:
11) First write in decreasing exponential terms and fill in blanks with zeros.
Our goal is to eliminate all term in the dividend by subtraction
________________
2v - 2 | 2v³ - 16v² + 0v + 13
we see that 2v needs to be multiplied by 1v² to eliminate the first term
<u> v² </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v²
multiply your estimate by your divisor and subtract from the dividend.
bring down the next term and repeat.
<u> v² -7v </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v² + 0v
<u>-(-14v² + 14v)</u>
- 14v
repeat again
<u />
<u> v² - 7v - 7 </u>
2v - 2 | 2v³ - 16v² + 0v + 13
<u>- (2v³ - 2v²)</u>
0 - 14v² + 0v
<u>-(-14v² + 14v)</u>
- 14v + 13
<u>-(-14v + 14)</u>
-1
and remainder gets put over the divisor and appended
v² - 7v - 7 - 1/(2v - 2)
13) Same process
<u> </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u> 8a² </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
<u> 8a² - 4a </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
-(-<u>20a² - 4a)</u>
-35a - 5
<u> 8a² - 4a - 7 </u>
5a + 1 | 40a³ - 12a² - 39a - 5
<u>-(40a³ + 8a²)</u>
-20a² - 39a
-(<u>20a² - 4a)</u>
-35a - 5
-<u>(-35a - 7)</u>
2
8a² - 4a - 7 + 2/(5a + 1)
Answer:
A) 
is the expression to represent total amount of money she earns babysitting for Smith family.
B) 
she will earn for Smith family for 7 hours
C) It would take 
for Margie to make 
when babysitting for the Smith family
Step-by-step explanation:
Given.
Mr. and Mrs. Smith pay Margie 
an hour to babysit their son, Shea.
Mr. and Mrs. Jones pay Margie $8 an hour to babysit their children, Sarah, Susan, and Dawn.
Let x be number of hours.
Solving for Part A.
Amount of Money earn from Smith family = Pay per hour 
Number of hours =
Solving for Part B.
x=7
Margie earns from smith family for 7 hours = 
Solving for part C.
Margie earned = 
To find number of hours
No of hour Margie has done babysitting for Smith family 
