Select the correct answer.

Mathematics

1 answer:

tatuchka [14]2 years ago

8 0

Answer:

y = 97/3

Step-by-step explanation:

12y - 12 = 9y + 85

Subtract: 3y - 12 = 85

Add: 3y = 97

Divide: y = 97/3

You might be interested in

After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil ide

valentina_108 [34]

The firm can interpret the soil test by using Bayes’ Theorem to see what the posterior probabilities of seeing different of oil as wlel as no oil are. By using this, you can tell that it’s more likely that they are going to find medium quality oil.

P(E1soil)= .5*.2=.1

P(E2 soil)=.2*.8=.16

P(E3soil)=.3*.2=.06

P(soil)=.1+.16+.06=.32

P(E1|soil)=.1/.32=.3125

P(E2|soil)=.16/.32=.5

P(E3|soil)=.06/.32=.1875

P(Oil)=P(medium quality oil high quality oil)=.3125+.5=.81257

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)

- Cutiepatutie ☺❀❤

8 0

3 years ago

A truck's varying distance from the warehouse, d , measured in miles is modeled by the formula d=t2+50t where t is the varying n

Dafna1 [17]

Answer:

7.596 hours
57.596 mph

Step-by-step explanation:

a) The distance is given as ...

d = t^2 +50t

We want to find the value of t for which this distance is 437.5 miles. That means we want to solve the equation ...

437.7 = t^2 +50t

We can complete the square by adding the square of half the t coefficient, (50/2)^2 = 625

437.5 +625 = t^2 +50t +625

1062.5 = (t +25)^2

√1062.5 -25 = t ≈ 7.596 . . . . hours

It will take the truck about 7.596 hours to reach its destination.

b) Average speed is total distance divided by total time. Here, we can find the average speed as ...

d/t = (t^2 +50t)/t = t +50

That is, the average speed over the 437.5-mile trip is ...

7.596 +50 = 57.596 . . . . miles per hour

The car must maintain a constant speed of 57.596 mph to reach the destination at the same time.

_____

When solving equations using a graphing calculator, I like to put them into a form such that the solution is the x-intercept. Here, that means the equation we're solving is ...

x^2 +50x -437.5 = 0 . . . . x is hours to destination