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Pani-rosa [81]
2 years ago
8

Traveling at 65 mph how many feet can you travel in 22 minutes?

Mathematics
2 answers:
baherus [9]2 years ago
6 0
If you are travelling at 65 mph, you have to think of it as if you are moving at a constant speed.  By dividing 65 by 60, you are calculating how many miles you are moving each minute.  In doing so, you can calculate that you are moving at 1.083333 miles each minute.  That's approximately 5720 feet per minute.  (This is calculated by multiplying 1.083333 by 5280 (the number of feet in a mile)).  5720 x 22 minutes, you will have traveled 125,840 feet.

Hope this helps!
Norma-Jean [14]2 years ago
5 0

The first thing we must do for this case is to make a change of units in the given speed.

For this, we use the following conversions:

1 mile = 5280 feet\\1 hour = 60 minutes

Then we apply the transformation of units.

(65)(\frac{miles}{hours}) * (5280)(\frac{feet}{miles}) * (\frac{1}{60})\frac{hours}{min} = 5720 \frac{feet}{min}

Then, by definition, we have to:

d = v * t

Where,

d: distance traveled

v: speed

t: time

Substituting values for t = 22 minutes we have:

d = (5720) * (22)\\d = 125840 feet

Answer:

The distance traveled in 22 minutes of travel is:

d = 125840 feet

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A parabola, with its vertex at the origin, has a directrix at y = 3. Which statements about the parabola are true? Select two op
shutvik [7]

Answer:

Step-by-step explanation:

Let's answer these questions in an all-encompassing kind of explanation. If you plot the vertex and the directrix, you see that the vertex is below the directrix. Because of the fact that a parabola opens AWAY from the directrix, and wraps itself around the focus, we know it's an upside down parabola of the form

4p(y-k)=-(x-h)^2

The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.

Filling in the equation with a vertex of (0, 0) which is our h and k respectively:

4(3)(y-0)=-(x-0)^2 which simplifies to

12y=-x^2 and multiplying both sides by -1:

-12y=x^2. This is not standard form, but it matches what your equation is in the choices. So to sum up:

The focus is located at (0, -3) and the first choice is true.

The parabola opens upside down and the second choice is not true.

The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.

We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.

So the fifth choice is not true.

6 0
2 years ago
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Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m
gladu [14]
Let n = minutes since 12:00 pm when Malory catches up to Dori.

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90n - 1800 = 50n
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The time corresponding to n = 45 min is 12:45 pm

Answer: 12:45 pm

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2 years ago
ali is cutting a circular pizza into serving sized sections he uses a long knife to be sure that he cut he makes in the pizza ar
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Answer:

1. Ali makes three straight long cuts along the diameter of the pizza.

2. Ali makes two straight long cuts along the diameter of the pizza.

Step-by-step explanation:

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A random sample of 50 people from a town with a population of 14,878 were asked to name their favorite flavor of ice cream. If 7
Alik [6]

Answer:

2082.91

Step-by-step explanation:

first: 50÷7=answer

second: 14878÷answer=solution

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2 years ago
At a hospital, 56 percent of the babies born are boys. of the baby girls born, 12 percent are premature. what is the probability
Rudik [331]
If the likelihood of boys being born is 56%, then the complement of that is the likelihood of girls being born which is 100% - 56% = 44%.
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The closest answer is the FIRST OPTION (5%).
4 0
2 years ago
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