Vivian wants to buy a charm bracelet. oxford fine jewelry charges $7 per charm, plus $51 for the bracelet. sullivan jewelers, in contrast, charges $5 per charm and $53 for the bracelet. if vivian wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. what would the total cost of the bracelet be? how many charms would that be?
the cost of the bracelet will be $ if vivian adds
charms to it.

Create two equations:

Oxford: 51 + 7c

Sullivan: 53 + 5c

C is the number of charms.

Now set the two equations equal to each other and solve for c:

51 + 7c = 53 + 5c

Subtract 5c from each side:

51 + 2c = 53

Subtract 51 from each side:

2c = 2

Divide both sides by 2:

C = 2/2

C = 1

When she buys 1 charm the price will be the same.

Theprice would be 51 + 7 = $58, or 53 + 5 = $58

The cost of the bracelet will be $ 58 if Vivian adds 1

charms to it.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204