john runs 2/5 miles in 1/20 of an hour. if he runs at a constant rate, what is his speed, in miles per hour?

Step-by-step explanation:

2 Triangles are congrant So AB = DE

so,5 X +2 = 8X _10

3x = 12

X=4 ⇒....1

FE = BC

so,3y -7 = 8

3 y = 15

y= 5 ⇒ . ... 2

Answer:

[tex]\displaystyle y=-\frac{4}{13}x+\frac{2}{13}[/tex]

Step-by-step explanation:

Median of a Triangle

The median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.

We have a triangle formed by the points A(-9,-4), B(-3.8), and C(7.-2).

The median from vertex C must pass through the midpoint of the segment AB. First, find that midpoint:

The midpoint (xm,ym) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}=\frac{-3-9}{2}=-6[/tex]

[tex]\displaystyle y_m=\frac{-4+8}{2}=2[/tex]

Midpoint AB=(-6,2). This point and C(7,-2) form the required median.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]\displaystyle y-2=\frac{-2-2}{7+6}(x+6)[/tex]

[tex]\displaystyle y-2=-\frac{-4}{13}(x+6)[/tex]

Operating:

[tex]\displaystyle y-2=-\frac{4}{13}.x-\frac{4}{13}.6[/tex]

[tex]\displaystyle y=-\frac{4}{13}.x-\frac{24}{13}+2[/tex]

[tex]\mathbf{\displaystyle y=-\frac{-4}{13}x+\frac{2}{13}}[/tex]

Answer:

1/ab^5 is your answer

Step-by-step explanation:

Answer:

[tex]\frac{1}{b^2}[/tex]

Step-by-step explanation:

Use the laws of exponents to find an equivalent value of b^-2.

The negative law of exponents states that a number with a negative exponents is equal to the reciprocal of that number to the positive exponent.

Basically:

[tex]a^-1 = \frac{1}{a^1}[/tex]

Using this law, you can then simplify b^-2. The reciprocal of b^-2 is 1/b^-2, and by the negative law of exponents, b^-2 changes to a positive exponent:

[tex]b^-2 = \frac{1}{b^2}[/tex]

Answer:

The population mean

Step-by-step explanation:

Sample Mean is the mean of of the selected samples while the population Mean is the mean of all the population. The mean of the sampling distribution of the sample mean is equal to the mean of the original distribution (that is the sample mean is equal to the population mean).

The mean of the sample means is always approximately the same as the population mean

Answer:

Step-by-step explanation:

the line's equation would be

y = 1/3x -6

so just graph a line using this equation

hope this helps <3

Answer:

I think the answer is 15/28

Step-by-step explanation:

Multiple: 3/4* 5/7 = 3 · 5  4 · 7 = 15/28

Answer: 21/20

kjojounbuvbhvbuh

The equivalent expression of [tex]\frac{5}{m}-\frac{m+8}{m^{2} - 4m}[/tex] is [tex]\frac{4(m-7)}{m(m-4)}[/tex]

The expression can be simplified as follows:

[tex]\frac{5}{m}-\frac{m+8}{m^{2} - 4m}[/tex]

[tex]\frac{5}{m}-\frac{m+8}{m^{2} - 4m} = \frac{5(m^{2} - 4m)-m(m+8)}{m(m^{2} - 4m)}[/tex]

Therefore,

[tex]\frac{5(m^{2} - 4m)-m(m+8)}{m(m^{2} - 4m)}=\frac{5m^{2} - 20m-m^{2}-8m}{m(m^{2}-4m )}[/tex]

Simplifying further,

[tex]\frac{5m^{2} - 20m-m^{2}-8m}{m(m^{2}-4m )}=\frac{5m^{2}-m^{2}-20m-8m }{m(m^{2}-4m )}[/tex]

[tex]\frac{5m^{2}-m^{2}-20m-8m }{m(m^{2}-4m )} = \frac{4m^{2} -28m}{m(m^{2}-4m)}[/tex]

[tex]\frac{4m^{2} -28m}{m(m^{2}-4m)} = \frac{4m(m-7)}{m^{2}(m-4) }[/tex]

Finally,

[tex]\frac{4m(m-7)}{m^{2}(m-4) }=\frac{4(m-7)}{m(m-4)}[/tex]

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Step-by-step explanation:

40 * 14 = 560

Happy holidays!

Answer:

x + 2y = 20

Step-by-step explanation:

number of games = x

cost of 1 game = $1

cost of x games = $1*x = $x

number of rides = y

cost of 1 rides = $2

cost of y rides = $2*y = $2y

Total cost for x games and y rides = $x + $2y

given that he can spend all which he has

and he has $20

Then

Total cost for x games and y rides would be equal to total money had

thus

$x + $2y = $20

$ gets cancelled from both sides

thus

relationship between  x and y will be

x + 2y = 20  Answ

Answer:

Step-by-step explanation:

wdym????

Answer:

n is the number and 12 is the number

Step-by-step explanation:

Answer:

x = - 3

Step-by-step explanation:

[tex]9(x + 2) = x - 6 \\ \\ 9x + 18 = x - 6 \\ \\ 9x - x = - 6 - 18 \\ \\ 8x = - 24 \\ \\ x = \frac{ - 24}{8} \\ \\ x = - 3[/tex]

Answer:

X=-3

Step-by-step explanation:

Hope this helps

It has the steps too

Answer:

11

Step-by-step explanation:

7/8 divided by 1/8 = 7 & 2^2 = 4. Simplified, you would have 7 + 4, or 11

Answer: 1-1/2

Step-by-step explanation: The unit rate would be amount of fertilizer for 1 hour.

Since 3/4 square foot is used in 1/2 hour, you would need twice as much for 1 hour:

3/4 • 2  = 6/4 square feet in 1 hour. As a Mixed number this would be 1-1/2 or [tex]1 \frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

I=PRT/100

I=3000*5.4*6                                                                                                                            

       100

97200/100=972.

I=$972

Answer:

Step-by-step explanation:

2.

Surface area = ( 6 *10 ) *3  + ( ( 7*4.87) /2)*2 = 180 + 34.09 = 214.09

3.

Surface area = (5*10) *3 + (( 7*4.2)/2)*2 = 150 +29.4 = 179.4

The second-youngest child will be 8 years old

HOPE THIS ANSWER WAS USEFUL

The answer is 8

2,4,6,8,10,12,14,16,18,20,22,24,26

2 *5= 10+26= 36\2= 18-10=8

All the new ages would be

6,8,10,12,14,16,18,20,22,24,26,28,30

Answer:

42 tickets.

Step-by-step explanation:

To make a profit, the PTA will need to earn at least $251, because it spent $250 on the dance. so we can divide 251/6 = 41 remainder 5, which means we need to sell 42 tickets.

Answer:

The PTA must sell 42 tickets to make a profit.

Step-by-step explanation:

To solve this problem, we will have to construct an inequality in which $250 is less than our solution.

Let [tex]s[/tex] = student tickets

Since each student ticket is priced at $6.00, the money raised by the student tickets can be represented by the expression:

[tex]6s[/tex]

Since it will cost the PTA $250.00 for the dance, the profit will have to be equal to anything greater than $250.00.

Set up your inequality:

[tex]250<6s[/tex]

Divide both sides of the inequality by the coefficient of [tex]s[/tex], which is [tex]6[/tex]:

[tex]41.7=s[/tex]

As you can see, we are left with a decimal, but we will have to round to the nearest whole number as the tickets can only be represented as whole numbers:

[tex]42=s[/tex]

Therefore, the PTA must sell 42 tickets in order to make a profit.

-

You can check your work by substituting the solved value for the tickets into the inequality:

[tex]250<6s[/tex]

[tex]250<6(42)[/tex]

[tex]250<252[/tex]

And since $252 is greater than $250 (represents a $2 profit), our solution is correct.

Answer:

[tex](x^2 + 7)(x- 4)[/tex]

Step-by-step explanation:

Given

[tex]x^3 - 4x^2 + 7x - 28[/tex]

Required

Factorize by grouping

[tex]x^3 - 4x^2 + 7x - 28[/tex]

Expand the given expression into 2 parts

[tex][x^3 - 4x^2] + [7x - 28][/tex]

Factorize each group:

[tex][x^2(x - 4)] + [7(x - 4)][/tex]

Remove square brackets

[tex]x^2(x - 4) + 7(x - 4)[/tex]

This gives:

[tex](x^2 + 7)(x- 4)[/tex]

Hence, the factored form of [tex]x^3 - 4x^2 + 7x - 28[/tex] is [tex](x^2 + 7)(x- 4)[/tex]

Answer:

Between 2.5 and 3.5, you have 2.56, 3.2376, and 3.001

Step-by-step explanation:

THE PROCESS:

If you wish to find 3 decimals that are in between 2 other decimals, first select 2 decimals that have some distance between them (one being larger in value than the other).

The number of decimals found between them will depend on the magnitude of the difference between the initial 2 decimals.

You can then pick out 3 or more decimals between these 2 numbers.

THE EXAMPLE:

2.5 and 3.5

The difference between these two values is 1. Many decimals can be found within this single unit.

2.56 is a decimal, 3.2376 is another decimal, 3.001 is a decimal too.

All these decimals fall between 2.5 and 3.5 above.

You should find many more decimals just between these two numbers.

Once the value of the decimal is greater than 2.5 and less than 3.5, it falls within this range.

It could be a number in one decimal place, a number in two decimal places, a number in three decimal places, and so on.

Answer:

D

Step-by-step explanation:

i did it with eliminating choices

Answer:

75% of 12 is 9

Answer:maintenance

Step-by-step explanation:is the correct answer

Oil change is considered to be a part of routine maintenance.

Technically speaking, maintenance in industrial, commercial, and residential installations refers to functional inspections, servicing, repairing, or replacing necessary devices, equipment, machinery, building infrastructure, and supporting utilities.

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Answer:

10%

Step-by-step explanation:

Since the question is not complete, I will be solving for probability of 3 9s

To solve this, we would be using the principle of combination, and thus

A deck of 52 hours has 4 nines, the probability that it contains at least 3 9s is mathematically represented by the equation.

P ( x ≥ 3 ) = ( 48 C 10 · 4 C 3 ) / ( 52 C 13 ) + ( 48 C 9 · 4 C 4 ) / ( 52 C 13 )

Remember I told us were going to be using the principle of combination. Well then

nCr = n!/r!(n - r)!

Now, applying the above stated formula to the equation, we have

48C10 = 48!/10!(38!)

4C3 = 4!/3!(1!)

52C13 = 52!/13!(39!)

48C9 = 48!/9!(39!)

4C4 = 4!/4!(0!)

Solving for each independently, we find that

= 0.0412 + 0.588 = 0.1