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Verizon [17]
3 years ago
7

When as rate, 100 miles in 5 hours would be ????? miles per hour

Mathematics
2 answers:
kherson [118]3 years ago
7 0

Answer:

20 miles per hour (20 mi/h)

Step-by-step explanation:

100 miles/5 hours = 20 miles/ 1 hour

(simplify the proportion)

Consider the following formula s=d/t, with

s being the speed, d as the distance, and t as the time.

this is because miles per hour is a measurement of speed.

In this case, 100 miles is the distance. 5 hours is the time, and we are solving for s.

s = 100/5, s = 20/1, s = 20 which is <u>20</u><u>.</u> So the rate or the speed is <u>20 miles per hour</u><u>.</u>

Anything multiplied or divided by 1 will remain the same.

koban [17]3 years ago
3 0

Answer:

20

Step-by-step explanation:

5 divided by 100 = 20

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Find an equation of the line passing through each of the following pairs of points. a (−3, 1), (0, 3)
Svetlanka [38]

\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{(-3)}}}\implies \cfrac{2}{0+3}\implies \cfrac{2}{3}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{2}{3}}[x-\stackrel{x_1}{(-3)}]\implies y-1=\cfrac{2}{3}(x+3) \\\\\\ y-1=\cfrac{2}{3}x+2\implies y=\cfrac{2}{3}x+3

5 0
3 years ago
John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled
Nikitich [7]

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

<h3>What is a slope?</h3>

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

y= -\frac{2}{5}x+20\\

The slope is, -\frac{2}{5} and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: brainly.com/question/7196312

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4 0
1 year ago
In the sequence 400, 200, 150, 75, 25...... what number comes next
Scorpion4ik [409]

Answer:

The next term in the sequence = -175

Step-by-step explanation:

Here, the given sequence is : 400, 200, 150, 75, 25...

Now here, in the given sequence,

First Term - Second Term = 400 - 200 = 200

Second Term -   Third Term   =  200  - 150  = 50

Third term  - Fourth Term  = 150 - 75   = 75

Fourth term - Fifth term = 75 - 25 =  50

So, following this pattern,

Fifth Term - Sixth term = 200

Or, 25 - Sixth Term = 200

or, Sixth term  =  25 - 200  = - 175

Hence, the next term in the sequence = -175

4 0
3 years ago
You help me i'll help you.
Pepsi [2]
Hi, I think the answer may be 2.
How I got my answer:
If x equals 18, divide 18 by 3 and you'll get 6, then divide 6 by the other 3 and your quotient should be 2.
Hope I helped!
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4 years ago
Read 2 more answers
What is the value or x?
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From the given figure

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x=\cos ^{-1}(\frac{5.1}{7.7})

Use the calculator to find x

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The answer is

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