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MA_775_DIABLO [31]
3 years ago
8

5y-3(2-y)=10 what does y equal in this problem

Mathematics
1 answer:
lina2011 [118]3 years ago
7 0

Answer:

y= 8

Step-by-step explanation:

Distribute into the parenthesis.

5y-6-3y= 10

Add(subtract) like terms.

5y-3y= 2y

2y-6= 10

Add to both sides by 6.

2y-6= 10

   +6  +6

Divide to both sides by 2.

<u>2y</u>= <u>16</u>

2     2

y= 8

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Answer:

<em>It took 31 days for the patch to cover half the lake</em>

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Step-by-step explanation:

The patch grows to double its size everyday

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Since the patch doubles itself everyday, this means that the previous day before the 32nd day, the lake was just half covered.

Therefore, the the patch covered half the lake on the 31st day, i.e <em>it took 31 days for the patch to cover half the lake</em>

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(A) We let y = the cost and are told x = the number of people. Since you pay $20 per person, the cost is 20x. That is, y=20x

(B) Again, let the cost =y and the number of people is given as x. You pay $10 per person or 10x plus an additional $50 for the room. That is, y=10x+50

(c) Link to graphs: https://www.desmos.com/calculator but if that doesn't work see the attachment for a screen shot. You just have to put the equations (type them) at left and the graph comes automatically.

(D) The admission price is the same when the two equations are equal. You can find this by setting them equal to each other as such: 20x = 10x+50 and solving for x. However, since you just graphed them the point of intersection (where the lines share/have the same point) gives the information. Remembers that (x,y) = (people, cost). The graphs intersect at (5, 100) so for 5 people the cost is the same and the cost is $100.

(E) For the regular rate we let x = 6 and solve for y (the cost). We get y = 20x which is y = (20)(6)=120. It costs $120 using the regular rate to take 6 people. Now let's use the equation for the group rate again with x = 6. Here we get y = 10x +50 or y = 10(6)+50 = $110. The group rate costs $110.

(F) The cost is the same at 5 people but if there are more than five the group rate is better as we saw in part E. So the regular rate is better for less than 5 people.

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