What is the probability that at least one of the two projects will be successful?
1 answer:
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Answer:
1 haircut = 47 dollars
1 colouring = 98 dollars
Step-by-step explanation:
Let be equal to the cost of 1 haircut.
Let be equal to the cost of 1 colouring treatment.
<u>1) Form equations</u>
Equation 1: 3 haircuts + 1 colour = 239 dollars
⇒
Equation 2: 2 haircuts + 1 colour = 192 dollars
⇒
<u>2) Solve the system of equations</u>
Subtract equation 2 from equation 1 to cancel out y (elimination)
-
⇒
Therefore, Natalie charges 47 dollars for 1 haircut.
Plug x back into one of the equations to solve for y
Subtract both sides by 94
Therefore, Natalie charges 98 dollars for 1 colouring treatment.
I hope this helps!
Answer:
D
Step-by-step explanation:
Note there is a common difference d between consecutive terms in the sequence, that is
d = 2 - 5 = - 1 - 2 = - 4 - (- 1) = - 3
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = - 3, thus
= 5 - 3(39) = 5 - 117 = - 112 → D