All categories

3 years ago

Rita runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?

1 answer:

5 0

You run 0.5 miles every 3 minutes => 1 mile every 6 minutes. Your friend runs 2 miles every 14 minutes => 1 mile every 7 minutes. You run a whole number of miles every number of minutes that is a multiple of 6. Your freind runs a whole number of miles every number of minutes that is a multiple of 7 Then the least possible number of miles that you both run to end at the same time is the least common factor of 7 and 6 minutes. This is 7 * 6 = 42 minutes. You will have run 42 min / (6 miles/min) = 7 miles, and your friend will have run 42 min / (7 miles/min) = 6 miles

You might be interested in

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neigh

Naya [18.7K]

<h3>P(call a person not from his neighborhood) = $(\frac{1}{5} )$ </h3>

Step-by-step explanation:

Here, the total number of contacts in the list if Bruce = 25 contacts

The total number of neighbors in the contact = 20 people

Now, let E: Event of calling a person from his neighborhood

So, P(E) = $\frac{\textrm{Total Favorable Outcomes}}{\textrm{Total Outcomes}} = \frac{20}{25} = (\frac{4}{5})$

So, the probability of calling a person from his neighborhood is $(\frac{4}{5} )$

⇒P(E) = $(\frac{4}{5} )$

Now,as we know: P(E) + P(not E) = 1

So, the probability of NOT calling a person from neighborhood

= 1 - probability of calling a person from his neighborhood

$= 1 - (\frac{4}{5}) = \frac{5-4}{5} = (\frac{1}{5})$

⇒P( not E) = $(\frac{1}{5} )$

Hence, P(call a person not from his neighborhood) = $(\frac{1}{5} )$

5 0

3 years ago

Read 2 more answers

26.87 -5.3 =<br> ????????

jok3333 [9.3K]

Answer:

21.57

Step-by-step explanation:

26.87 - 5.3 = 21.57

8 0

3 years ago

(URGENT) need this answer today

Vlad [161]

Answer: 19.5

Step-by-step explanation:

Use Pythagorean theorem to find the diagonal as it is a right triangle.

6 0

3 years ago

A small airplane can hold 44 passengers.fifteen passengers board the plane a. Identify an inequality that represents the additio

iris [78.8K]

Answers:

Inequality is $15 + p \le 44$

Choice A) 30 more passengers cannot board the plane. Only 29 more passengers can board the plane

===============================================

Explanation:

15 people are already on the plane.

p is a placeholder for a positive whole number representing the additional number of people that can get on the plane.

In total, the plane holds 15+p individuals.

This expression's largest possible value is 44. Think of it as the ceiling. In terms of math, we call it the maximum. Since at most 44 people can be on the plane, this means the inequality we'll set up is $15+p \le 44$

This says "15+p is less than or equal to 44". It's the same as saying "15+p is 44 or smaller".

---------------------------

To isolate p, we subtract 15 from both sides

Doing so leads to...

$15+p \le 44\\\\15+p-15 \le 44-15\\\\p \le 29$

We can see that the largest p can get is 29, meaning that at most 29 more people can board the plane. There's no way that 30 people can board. That unfortunate 30-29 = 1 person must wait for another plane.

This all shows why choice A is the answer.

----------------------------

As a way to check the answer, we can note how p = 29 leads to 15+p = 15+29 = 44. We've filled the plane to full capacity.

If p = 30, then 15+p = 15+30 = 45, and we've gone 1 seat overboard.

8 0

3 years ago

Suppose the tank has a vertex angle of 60° and the circular hole has radius 4 inches. Determine the differential equation govern

stepladder [879]

The time it will take the tank to be empty is;

<em><u>t = 1.26 minutes</u></em>

The image of the initial tank is missing and so i have attached it.

Let's call the area of the hole be A_h

From conservation of energy, velocity at which water leaves the tank is; v = √2gh

Thus, volumetric rate; = A_h(√2gh)

If we consider possible friction and contraction, we differentiate to get;

dV/dt = -cA_h(√2gh)

Now, volume of tank is;

V = ¹/₃πr²h

V' = dv/dt = (¹/₃πr²h)dh/dt

Thus; -cA_h(√2gh) = (¹/₃πr²h)dh/dt

Integrating to get t gives us;

t = (2(√H - √h))/(3c√2g × (r'/r)²)

where;

r' is radius of circular hole = 4 inches = 0.333 ft

h = 0 since the tank has a hole

c = 0.6

g = 32 ft/s²

H = 8 ft

Since the vertex has an angle of 60°, then a line of symmetry across it divides the angle into two which will be 30° each. We can use trigonometry to find the current radius r.

Thus; r/H = tan 30°

r = 8 tan 30°

r = 4.6188 ft

Thus;

t = (2(√8 - √0))/(3 × 0.6(√2 × 32) × (0.333/4.6188)²)

t = 75.5757 seconds

Converting to minutes gives; t = 1.26 minutes

Read more at; brainly.com/question/24319549

7 0

3 years ago