Please help with theses two questions.

It takes 45 minutes to drive to the nearest bowling alley taking city streets going 30 miles per hour

zmey [24]

Answer:

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes

Step-by-step explanation:

The given parameters are;

The time it takes through the streets to drive to the nearest bowling alley = 45 minutes

The speed of driving through the streets = 30 miles per hour (mph)

The speed of driving through the freeway to the bowling alley = 65 mph

From the speed of driving through the streets and the time taken we have;

The formula for speed, S, is S = Distance/Time

Therefore, 30 mph = Distance/45 minutes

Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour

30 mph = Distance/45 minutes = Distance/(3/4 hour)

30 mph = Distance/(3/4 hour)

Distance = 30 mph × 3/4 hour = 22.5 miles

Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;

Time = Distance/Speed

The speed through the freeway = 65 mph while the distance remain 22.5 miles

Therefore;

Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes

The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.

8 0

3 years ago

Frankie and Maria paid to get into the carnival, and they had to pay a certain amount per game. Frankie played 5 games and spent

Natali [406]

Answer:

It cost $8 per person to get into the carnival

Step-by-step explanation:

Let the entry cost be y

Let Cost of 1 game be x

Cost of 5 games = 5x

Cost of 12 games = 12x

Frankie played 5 games and spent $15.50 altogether.

So, $5x+y=15.50$ --- A

Maria played 12 games and spent $26 altogether.

So, $12x+y=26$ -- B

Plot the lines

$5x+y=15.50$ --- Black color

$12x+y=26$ --- Red color

Intersection point provides the solution

(x,y)=(1.5,8)

So, it cost $8 per person to get into the carnival

6 0

3 years ago

You and three friends are planning a trip. You want to keep the cost below $90 per person. Write and solve an inequality that re

velikii [3]

Answer: x < 360

Step-by-step explanation:

Let x be the total cost for the trip.

And, Here the total number of person = 4

Therefore, the cost for each person = x/4

And, According to the question, The cost must below $90 per person.

Therefore, x/4 < 90

⇒ x < 360

Which is the required inequality for the situation.

8 0

3 years ago

PLEASE HELO ASAP WILL MARK BRAINLIEST

ss7ja [257]

A.) 1/2

B.) 3

For the first one, just plug the value of x (4) everywhere you see x in the formula.

For the second one, place 1 wherever you see f(x)

Hope this helps

6 0

3 years ago

Construct a probability distribution for the data.

lianna [129]

Answer:

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Step-by-step explanation:

From the data, to produce a probability distribution for the data :

X : number of times blood is drawn ;

P(x) : probability that blood is drawn at X times

Hence, the probability distribution table for the data Given goes thus :

X : ___ 0 ____ 1 _____ 2 ______ 3

P(X) : _ 6/15 __ 5/15__ 3/15 ____ 1/15

Probability that blood is drawn 0 times = 6/15

Probability that blood is drawn 1 time = 5/15

Probability that blood is drawn 2 times = 3/15

Probability that blood is drawn 3 times = 1/15

(6/15 + 5/15 + 3/15 + 1/15) = 1

5 0

3 years ago