Answer:
5.1x - 1.49y
Step-by-step explanation:
We need to add or substract like terms.
like terms are the terms that have the same variable, in this case:
3.27x and 1.83x are like terms, and adding them we get:
3.27x + 1.83x = 5.1x (you add only the coefficients and the x stays the same)
we do the same for the terms with 'y':
1.28y and −2.77y are like terms, but in this case we must substract because of the − sign:
1.28y −2.77y = -1.49y
the final answer is the conjunction of the two results that we obtained:
5.1x - 1.49y
Answer:
14, 28, 42, 56, and 70 are the first 5 common multiples of 14
20, 40, 60, 80, and 100 are the first 4 common multiples of 20
The answer is C.
∠STR = ∠SRQ = 90° (given) (A)
∠RST = ∠RSQ (common angle) (A)
By AA test for similarity,
∆STR is similar to ∆SRQ.
Assume that each material in each category has an equal chance of being selected.
Categories:
(a) Type of wood used to make the cabinet: birch, maple, cherry.
Each type of wood has a probability of 1/3 to be selected.
(b) Type of finish: transparent, semi-transparent.
Each type of finish has a probability of 1/2 to be selected.
(c) Knob: bronze, steel, wood.
Each material has 1/3 probability to be selected.
Each event (selecting material for the cabinet, for the finish, and for the knob) is an independent event.
Therefore
Probablity(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cheryy wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6
