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Fittoniya [83]
4 years ago
14

Which rate can you set StartFraction 30 miles Over 1 hour EndFraction equal to in order to find the time it takes to travel 900

miles at 30 miles per hour?
Mathematics
2 answers:
mezya [45]4 years ago
8 0

Answer:

 

Step-by-step explanation:

Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:

 

This can be rearranged to ...

 

Then, multiplying by 1 h gives the solution ...

 t = 30 h

It takes 30 hours to travel 900 miles at 30 miles per hour.

dsp734 years ago
6 0

Answer:

  \dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}

Step-by-step explanation:

Since you have miles in the numerator of your rate, you need miles in the numerator of the equivalent fraction:

  \dfrac{30\,\text{mi}}{1\,\text{h}}=\dfrac{900\,\text{mi}}{t}

This can be rearranged to ...

  \dfrac{t}{1\,\text{h}}=\dfrac{900\,\text{mi}}{30\,\text{mi}}=30

Then, multiplying by 1 h gives the solution ...

  t = 30 h

It takes 30 hours to travel 900 miles at 30 miles per hour.

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Cylinder E has the following dimensions: h = 30 cm and r = 4 cm. Cylinder F has the same radius, but has a height of 5 cm . What
Anarel [89]

Answer:

1759.52cm^3

Step-by-step explanation:

Given data

Cylinder E

h = 30 cm and

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*30

V= 3.142*16*30

V=1508.16 cm^3

Cylinder F

h=5 cm

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*5

V= 3.142*16*5

V=251.36 cm^3

Hence the total volume is

=251.36+1508.16

= 1759.52cm^3

6 0
3 years ago
Can the sides of a triangle have lengths 2.4, 6.5, and 7.4?
Ira Lisetskai [31]

Answer:

yes.

Step-by-step explanation:

2.4 + 6.5 = 8.9 (triangle inequality)

8.9 > 7.4

= it is possible to make a triangle wit these measurements.

4 0
3 years ago
A soccer ball is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 48t, where t equals the
mamaluj [8]

It takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

<h3>What is the axis of symmetry?</h3>

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

1. The function  is a parabola of the form . The the formula for the axis of symmetry of a parabola is . We can infer from our function that a= -16 and b = 48, so lets replace those values in our formula:

x = \frac{-b}{2a}

x = \frac{(-48)}{-2(16)}

x = \frac{-48}{-32}

x = 1.5

We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:

-16t^{2} +48t = 0

-16t(t-3)=0

t = 0, (t-3) = 0

t = 0, t = 3

From our previous point we know that the ball reaches its maximum time at , which means that it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.

To learn more about axis of symmetry from the given link:

brainly.com/question/9444537

#SPJ4

6 0
1 year ago
A bottle of juice costs $1.85, and a pack of 6 bottles of lemonade costs $5.40. If Jimmy
Elanso [62]

Answer:

Step-by-step explanation:

+

1.85

5.40

_____

  6.      2    5

4 0
3 years ago
Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope
Svet_ta [14]

Answer:

3x + y = 3

Step-by-step explanation:

3 0
3 years ago
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