5.
Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit:
• She wants to hike for 2 hours.
• She wants to spend no more than 6 hours away from home.
• She can average 65 miles per hour to and from the park.

Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.

A. 392 miles
B. 260 miles
C. 16 miles
D. 392 miles

Answer:

B. 260 miles

Step-by-step explanation:

The important thing to consider here is the maximum amount of time she can spend driving. Since she will spend 2 hours at the park and want to be gone no more than 6 hours, this number is 4 hours.  

This means she can spend 2 hours on the way to the park and 2 hours back. Her maximum distance, therefore, is 2 hours times an average speed of 65 miles per hour

Therefore:

2x ≤65 * 4

2x ≤ 260

x ≤ 130

Her maximum distance is 2 hours x 65 mph = 130 miles.

Answer:

Alexandria can choose any distance not more than 130 miles from her house to the park.

Step-by-step explanation:

Let Alexandria takes time 't' hours to walk from home to the park and distance between park and home is 'x' miles.

If she averages 65 miles per hour "to and fro" from her home to the park then the inequality that will represent this situation will be

2x ≤ 65t   [ Distance = Speed × time ]

If she wants to hike for 2 hours and maximum time spent to  reach the park is 6 hours

Then the maximum time spent by her to reach the park from her home should be = 6 - 2 = 4 hours.

By placing the value of t = 4 in the inequality

2x ≤ (65×4)

2x ≤ 260

x ≤ 130

Therefore, Alexandria can choose any distance not more than 130 miles from her house to the park.

Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit: • She wants to hike for 2 hours. • She wants to spend no more than 6 hours away from home. • She can average 65 miles per hour to and from the park. Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.

The actual answer is 180 miles if anyone was wondering. I know the other answer is "Verified" but its wrong. me and the other people who trusted it know that. good luck.

Alexandria wants to go hiking on Saturday. To choose from several parks she could go to, she considers these conditions.  

She wants to hike for 2 hours.

She wants to spend no more than 6 hours away home.

She can average 65 miles per hour to and from the park.

Write and solve an inequality to find possible distances from Alexandrias home to a park that satisfies the conditions.

Explain show work please.

Favorite Answer

The distance from Alexandria's home to a park has to be within 130 miles.

Let h = time of Alexandria's hike = 2 hours.

Let p = time spent to get to park (driving)

h + 2p (since it is round trip - to the park and back) <= 6 hours (time to spend away from home)

h = 2, thus

2 + 2p <= 6

2p <= 4

p <= 4/2 = 2

Thus, she has to spend 2 hours to get to the park, and spend 2 hours to get back home.

distance to the park <= speed of driving x time of getting to park

                             <= 65 miles per hour x 2 hours

                             <= 130 miles

Thus, we get the 130 miles.

The correct option is B. 260 miles. and the required inequality is [tex]2+\dfrac{D}{65} \leq 6[/tex].

Given, Alexandria wants to go hiking based on the conditions.

The average speed of Alexandria is 65 miles per hour.

Since she wants to hike minimum of 2 hours, so minimum distance covered by her will be  [tex](65\times2=130) \\[/tex] miles.

Now time [tex]t[/tex] required to cover [tex]D[/tex] distance with the speed of 65 miles per hour will be  [tex]\frac{D}{65}[/tex] hours.

But She doesn't want to spend more than 6 hours away from home,

So the inequality becomes,

[tex]2+\dfrac{D}{65} \leq 6[/tex].

On solving for D,

[tex]\dfrac{D}{65} \leq 6-2[/tex]

[tex]D\leq 4\times65\\\\\D\leq 260[/tex]

Hence the Distance traveled by Alexandria must not exceed by 260 miles.

Therefore the correct option is B. 260 miles. and the required inequality is [tex]2+\dfrac{D}{65} \leq 6[/tex].

For more details on Inequality follow the link:

https://brainly.com/question/19491153

Help me please I don’t know the answer

If 2 lines intersect the system is called...

1. independent and inconsistent

2. dependent and consistent

3. independent and consistent

4. dependent and inconsistent

6. Write 0. 29 as a fraction

PLS HELP ME ANSWER THIS
DO NOT SEND A LINK!!!​

(4x + 5)

Quadrilateral ABCD is inscribed in a

circle.

What is the measure of angle A?

(x + 15)

Enter your answer in the box

mZA=

If a letter is randomly chosen, what is the probability of choosing the letter A?

The random variable X~(30,2^2)
Find p(X<33)
Find p(X>26)

Is anyone else eating Cheetos?

NEED HELP ASAP plz im confused

Work out the difference in temperature between 1100 and 1500.​

Joshua has a gold (AU) nugget with a mass of 25 grams. If the density of gold is 19.32 g/cm3.
How much space would the nugget take up in a graduated cylinder?"
a).77 ml
b)483 ml
c)1.29 ml
d)44.32 ml

When light bounces off a rough surface, in different directions, what is this called? (2 points)

a
Interaction

b
Movement

c
Property

d
Reflection

IN NEED OF URGENT HELP!!!!


25. Choose the property used to rewrite the expression.
log18-log6 = logo 3
Commutative Property
Power Property
Product Property
Quotient Property

Marking brainliest:,)

Will mark Brainliest please help!

please help lol .......

Enter the terms of the given arithmetic sequence and then graph the sequence. If the sequence is infinite, show as many points as the grid allows.
f(0) = −5 and f(n) = f(n − 1) − 1 for n ≥1
The first six terms of the sequence are:

--) Aiden filled his 290 gallon pool with water in 10 hours.
How many gallons were in the pool after 7 hours?
I

help please!! i just need to the answer

A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number

Y=2write the equation of the line in slope intercept form

The Nisbets went through the drive through
at the donut shop and spent $10.50 on 2
cups of coffee and 4 donuts. Behind them,
the Roys spent $8.25 on 1 cup of coffee and
5 donuts. What is the cost of one cup of
coffee?

5
A small apple weighs
16
Ib. A digital scale shows the weight in decimal form.
What weight, in pounds, does the scale show? Record your answer on the grid.
Then fill in the bubbles.

Find the interest on $6,000 at 5% for 8 months.
A: $200
B: $2,000
C: $240
D: $2,400

Marvin the monkey is taking a multiple choice test as part of an experiment. There are 444 questions on the test and each question has 222 different answer choices. Since Marvin is a monkey, he will be guessing on each question. The test is graded according to the grading scheme below. What is the expected number of points Marvin will score?

i need help please ill give brainliest

Below an equation is modeled . What value of x makes this equation true?

You spin the spinner twice.

234


What is the probability of landing on a number less than 4 and then landing on a 3?

Which of the following situations forms a proportional relationship? Select all that apply.
5 DVDs for $9 and 15 DVDs for $27

6 cups of coffee for $8 and 9 cups of coffee for $12.

3 purses for $60 and 5 purses for $90

12 cans of soup for $3 and 30 cans for $7.50.

2 ink cartridges for $25 and 4 ink cartridges for $75.

What single decimal multiplier would you use to decrease by 13% followed by a 6% decrease?