Answer:
5(2x - 1)
Step-by-step explanation:
Given
2(x - 6) + 4(2x + 1) + 3 ← distribute both parenthesis
= 2x - 12 + 8x + 4 + 3 ← collect like terms
= (2x + 8x) + (- 12 + 4 + 3)
= 10x + (- 5)
= 10x - 5 ← factor out 5 from each term
= 5(2x - 1) ← in factored form
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Answer:
Step-by-step explanation:
54 customers paid with cash
42 paid with debit card
153 paid with credit card
Add them up to find the total amount of people:
54 + 42 + 153 = 249
Now write 54(the number of customers who paid with cash) as a fraction over the total, 249.
54/249
So the probability that customers will pay cash is 54/249 or 18/83
Answer:
Step-by-step explanation:
Formula: Simple interest = PRT
P= 5000
R= 9%
T= 17
So, 5000 x 9/100 x 17 = 7650
Answer:
1) A 2) B 3) C 4) C 5) A 6) B
Step-by-step explanation:
1) Slope is calculated by the change in y over the change in x thus (5-3)/(2-(-1)) = 2/3
2) Since there is no change in y, there is no slope.
3) The change in x is given which is 10-2 so the change in y is y2-3. For the slope to be 3/4 y must equal 6. Therefore y2 is 9.
4) Cosine is adjacent over hypotenuse and Tangent is opposite over adjacent. Given 3/5 as A/H you can construct a right triangle with the adjacent as 3 and hypotenuse as 5. The Pythagorean theorem says the adjacent squared plus the opposite squared is equal to the hypotenuse squared.
3^2 + O^2 = 5^2
O=4
Therefore TanP is 4/3
5) Pythagorean theorem again.
Therefore your hypotenuse is equal to 
6) Csc is the inverse of the Sin function. So it becomes 5/4.