Answer:
Total number of required ways = 12 × 51!
Step-by-step explanation:
Number of total cards in the deck = 52
Number of face cards in the deck = 12
Now, we need to find the number of ways such that the first card is always a face card
Now, first card is face card so number of cards left to be arranged = 52 - 1 = 51
Number of ways to arrange 51 cards = 51!
Also, Number of face cards = 12
So, Total number of required ways = 12 × 51!
Answer:
x = 77, y = 63
Step-by-step explanation:
x - 5 = 72 ( corresponding angles )
x = 77
The 3 angles on the straight line sum to 180°, that is
x - 5 + 51 + y - 6 = 180, that is
72 + 51 + y - 6 = 180
117 + y = 180 ( subtract 117 from both sides )
y = 63
Answer:

Step-by-step explanation:
using the slope-intercept formula, u have this so far as an equation (just knowing the slope): 
To find the y-intercept, substitute in the values of the coordinates given to solve for b:

so u can just put 8 into your slope-intercept formula (
) and that's it! hope this helps!
Answer: (fоg)(24)=5
Step-by-step explanation:
(fоg)(24) is f of g of 24. This means you plug in g(24) into f(x).



Now that we know g(24), we can plug it into f(x).
f(4)=2(4)-3
f(4)=8-3
f(4)=5
Answer:
Increase: 1.7
Decrease: 0.3
Step-by-step explanation:
Increase:
100% + 70% = 117%
117/ 100 = 1.7 (multiplier)
Decrease:
100% - 70%= 30%
30/ 100 = 0.3 (multiplier)