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Drupady [299]
3 years ago
10

Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mp

h or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?
Mathematics
2 answers:
Maurinko [17]3 years ago
4 0

Answer:

the fastest is starting at 5 mph then going three because it would take 3.66666666667 hours

Step-by-step explanation:

the 4mph would take 3.75 hour while the 5mph then 3mph only takes 3.666666667

vlada-n [284]3 years ago
4 0

Answer:

The First Option: 3 2/3 hours

The Second Option: 3 3/4 hours

The First Option is fastest.

Step-by-step explanation:

<h2>Option 1: </h2>

First part- 5mph for 2 hours 5·2=10 (D=T·S)

15-10=5 because 15 is the total distance and 10 is the first part.(T=D/S)

Second part- 5/3= 1 2/3

5/3 because 5 is the distance left, and 3 is the speed. The time is 1 2/3 hours.

<h2>Option 2:</h2>

4mph 15m (T=D/S)

15/4= 3 3/4 hours

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lutik1710 [3]

The number of classes Anna can take so the total cost for the month will be the same is 5.

The monthly cost would be  $37.50.

<h3>When would the total cost be the same?</h3>

When the monthly cost is equal, both equations would be equal: 7.5x = 5.5x + 10

In order to determine the value of x, take the following steps:

  • Combine similar terms: 7.5x - 5.5x = 10
  • Add similar terms: 2x = 10
  • Divide both sides by 2 : 10 /2 = 5

Monthly cost when the cost is the same: 7.5 x 5 = $37.50

To learn more about cost, please check: brainly.com/question/25711114

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7 0
2 years ago
The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

y = 2-x \,\,\,\,\,,  1 \leq x \leq 2.

If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

{\displaystyle A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472 }

And the sum would be 1.5708+1.0472 = 2.618

7 0
4 years ago
An artist wants to frame a square painting with an area of 400 square inches . she wants
Artemon [7]
(a) x^{2} = 400
(b) \sqrt{x^2} = \sqrt{400}
x=20,-20
(c) Only the positive solution makes sense because you cannot have a negative side length.
(d) Since one side of the painting is 20 inches, all four sides together will be 20*4 = 80 inches
6 0
3 years ago
A rectangular strip of paper has a perimeter of 62 centimeters. If the sum of the length and twice the width is 42 centimeters,
Nuetrik [128]

The perimeter (62 cm) is twice the length plus twice the width.

The length plus twice the width is given as 42 cm. The difference between these sums is the length, 20 cm.

4 0
3 years ago
A window shaped like a parallelogram has an area of 23 4/5 square feet. The height of the window is 2 4/5 feet. How long is the
nlexa [21]
To find a missing length when you have an area and another length you divide the area by the known length
23 4/5 divided by 2 4/5= 8 1/2
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3 years ago
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