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1 year ago

Seth walks 1 1/4 miles in 5/12 hour. what is seth's unit rate?

Mathematics

2 answers:

Semmy [17]1 year ago

6 0

2 1/12 you do 1 1/4 divided by 5/12 which gives you 2 1/12. Also unit rate is asking the first rate.....

denpristay [2]1 year ago

4 0

Answer: 3 miles per hour.

Step-by-step explanation:

Given: Distance traveled by Seth = $1\frac{1}{4}\ miles$

Convert into improper fraction, we get

Distance traveled by Seth = $\frac{5}{4}\ miles$

Time taken by Seth to travel the given distance = $\frac{5}{12}\ hour$

The unit rate of Seth = $\frac{distance}{time}=\frac{\frac{5}{4}}{\frac{5}{12}}=\frac{12}{4}=3\ miles\ per\ hour$

Hence, the unit rate of Seth = 3 miles per hour

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Find a logarithmic equation that relates y and x

Svet_ta [14]

Logarithms are only able to make an equation linear if it is an exponential function. For example, $y= e^{x}$ can be made linear by taking the natural logarithm of each side, causing it to become $ln(y)=ln( e^{x})$ . After some simplifying, you are left with $ln(y)=x$ . You are then able to plot ln(y) vs. x to get a linear fit.

4 0

1 year ago

The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%. Between station A and station B, which

saveliy_v [14]

Answer:

x = 3.1 %

Step-by-step explanation:

Let x be the slope the track.

Given:

Distance between station A and B = 270 ft

Track rise = $8\frac{1}{2} = \frac{17}{2} = 8.5\ ft$

We need to find the slope of the railway track between station A an B.

Solution:

The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.

We know that slope of the railway track is equal to gradient of the tracks.

So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.

$Slope\ of\ the\ the\ tracks =\frac{Distance\ between\ two\ stations}{track\ rises}$

$x=\frac{8.5}{270}\times 100$

x = 3.1 %

So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.

Therefore, x = 3.1 % meets the rapid-transit rail standards.

5 0

1 year ago

walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p

laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

$Y(x) = (20+x)(60-2x)$

Differentiating with respect to t ( time ),

$Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x$

Again differentiating with respect to t,

$Y''(x) = -4$

For maxima or minima,

$Y'(x) = 0$

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0

1 year ago

Two horses approach each other along the same country road, one walking at 5.5 km/h and the other at 4.5 km/h. When the horses a

lisov135 [29]

We are given with
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v2 = 4.5 km/hr
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The total time the fly was flying back and forth is
5.5t + 4.5t - 10
t = 1 hr

The total distance traveled by the fly is
d = 30 (1) = 30 km

4 0

1 year ago

How many possible values for y are there where y = cos^-1 0?

Arada [10]

Possible values for y are<u> infinite</u>

<h3>Further explanation </h3>

Trigonometry is the science of mathematics that studies the relationship between sides and angles in triangles

Given special angles of trigonometric functions, for example

$\displaystyle sin~0=0\\\\cos~30=\frac{1}{2}\sqrt{3}\\\\tan~45=1\\\\sec~45=\sqrt{2}\\\\etc.$