What is the answer for 3(h-5)

Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an

algol13

9514 1404 393

Answer:

128 miles

Step-by-step explanation:

The convict has a head start of ...

distance = speed × time

distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

time = distance/speed

time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

distance = speed × time

distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

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<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

8 0

3 years ago

What is the height of a regular hexagonal based pyramid where its volume is equal to the side of the hexagon cubed?

azamat

Answer:

what i have lerned in this module

7 0

3 years ago

(easy)

Andreyy89

Answer:

<h2>9 weeks</h2>

Step-by-step explanation:

Sol had $1535 in his savings

has been spending $30 each week for guitar lessons.

If his current balance is $1265

find:

how many weeks has he been taking lessons?

$1535 - $1265 = $270

<u> $270 </u> = 9 weeks

$ 30 per week

7 0

3 years ago

A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the

Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

$D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1$