Group of students are playing a card game that uses a well-shuffled deck of 56 playing cards. 52 of the cards are exactly as described in your textbook. However, there are also 4 Jokers. This means that there are 56 cards: 14 are hearts, 14 are diamonds, 14 are clubs, and 14 are spades. A hand of cards consists of Eight of the cards. Calculate the number of different hands that contain: a. At least 7 Hearts: b. All diamonds: c. At most 2 Jokers: d. 3 diamonds and 5 spades or 4 hearts and 4 clubs:

answer: the equation matches the regression

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: