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Ugo
2 months ago
5

1.How much taller Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall. 2.How many times as tall

Porter is than Henry, given that Porter is n inches tall and Henry is m inches tall.
Mathematics
1 answer:
lawyer [12.5K]2 months ago
3 0

Answer:

Porter is n-m inches taller than Henry.

Porter is \frac{n}{m} times taller than Henry.

Step-by-step explanation:

To find the height difference, subtraction is used.

As Porter is taller than Henry, Henry's height will be drawn from Porter's height. This calculation will reveal only the height difference.

n = Porter's height

m = Henry's height

Thus, the height difference can be represented as:

n-m

Answer: Porter measures n-m inches taller than Henry.

To determine how many times Porter is taller than Henry, division comes into play.

For example, if Porter's height is 200cm and Henry's is 100cm, Porter is evidently 2 times taller.

If we perform the division of Porter's height by Henry's height...

\frac{200}{100}=2

..the result will be 2, because Henry's height "fits in twice" within Porter's height. 100 fits twice into 200.

Using our notations, n and m, we perform n divided by m.

\frac{n}{m}

Answer: Porter is \frac{n}{m} times taller than Henry.

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Leona [12618]

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico reports that monarch butterflies occupied 1.13 hectares in one winter and 4.01 hectares the next winter (one year later)

The Geometric growth formula is

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = time = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Thus, the geometric growth rate is 3.5486725664.

The area they will occupy in hectares after one more year = Current area × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

Approximately equal to 14.2

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19 days ago
The distance between two piers on a river is 45 miles. It takes a motorboat, moving downriver, 2 hr 15 min to complete the journ
PIT_PIT [12445]
The duration is 3 hours. We can define a variable for our answer (x). Now we need to determine the boat's speed in still water (y). We can establish this equation: d/t = s: 45/(y + 2.5) = 2 1/4, leading us to find y = 17.5. Substituting in the current’s speed gives us y - 2.5. So, 17.5 - 2.5 is 15. By solving for x, we get 45/15 = 3, which gives us the final answer of 3 hours.
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14 days ago
The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find
tester [12383]

Solution:    49°, 49°, 82°

Detailed explanation:

Let x denote the base angles

and therefore the vertex angle is expressed as 2x - 16.

According to the Triangle Sum Theorem, the angles in a triangle total 180°

(x) + (x) + (2x - 16) = 180

                 4x - 16 = 180

                       4x = 196

                         x = 49

Base angles are: x = 49

The vertex angle: 2(49) - 16 = 82

                                   

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13 days ago
A pebble is tossed into the air from the top of a cliff. The height, in feet, of the pebble over time is modeled by the equation
PIT_PIT [12445]

Answer:

96

Step-by-step explanation:

The highest height achieved by the pebble represented by the quadratic function

h(t)=-16t^2+32t+80can be determined by finding the vertex.

First, we identify the t-coordinate of this vertex. This maximum height corresponds to this value of t, thus, we need to evaluate the h(t)-coordinate.

By comparing h and at^2+bt+c, we observe that:

a=-16

b=32

c=80

Next, we compute to uncover the t-coordinate of the vertex:

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

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t=\frac{-32}{-32}

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Now, substituting t into -16t^2+32t+80 with 1 will enable us to find the corresponding h(t)-coordinate:

-16(1)^2+32(1)+80

-16(1)+32+80

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1 month ago
The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y
Svet_ta [12734]

Respuesta:

-0.7

Explicación paso a paso:

x-y=0.7

Puedes elegir cualquier dígito para x y y pero la diferencia debe ser 0.7. Elegí 1.0 y 0.3.

x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7

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20 days ago
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