A runner runs 15 miles in 3 hours. Find the constant of proportionality (k), that relates the miles, y, to the time, x. Also, write the equation (y = kx) for this relationship.

The length of each leg of the given triangle is 16√2.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

The length of the leg is calculated by using the angle property. Use sin angle to calculate each leg.

First leg,

Sin45 = P / H

1 / √2 = P / 32

P = 32 / √2

P = 16√2

Second leg,

Sin45 = P / H

1 / √2 = P / 32

P = 32 / √2

P = 16√2

Therefore, the length of each leg of the given triangle is 16√2.

To know more about triangles follow

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Answer:

19.2

Step-by-step explanation:

I did the math by dividing the percentage and total

Answer:

6a+b

Step-by-step explanation:

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Answer:

A

Step-by-step explanation:

A has 4 boxes with XS and the end result is 4 1s which add up to 4 Xs

Answer:

A

Step-by-step explanation:

Using proportions, it is found that there are 16 pinches in one teaspoon.

Hence, the rule of three is:

1 dash - 2 pinches

8 dashes - x pinches

Applying cross multiplication:

[tex]x = 2(8) = 16[/tex]

There are 16 pinches in one teaspoon.

For a similar problem also involving proportions, you can check https://brainly.com/question/24372153

Answer:

The blank is 37.

Step-by-step explanation:

Ok. So 67 + 76 = 143.

Next since all triangles should be 180°

We know that since 180 - 143 = 37 the last angle should be 37.

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- hermionia

Answer:

y= -5/2x+11

Step-by-step explanation:

You want to first reorder the equation into slope intercept form

First subtract 5x from both sides

5x-5x+2y = -8-5x

It should look like:

2y = -5x - 8

Then isolate your y variable

Since the y is multiplied with 2 divide by 2 to isolate and remember to divide the other side as well

It should look like:

2y/2 = -5/2x -8/2

This will result in y = -5/2x - 4

Now since the line is parallel the slope will be the same but to pass through a different point the y intercept will have to change.

Re make your equation and you have:

y = -5/2x + b

Now plug in your (x,y) value for the x and y in the slope intercept form.

-9 = -5/2(8) +b

Now solve for b:

-9 = -40/2 +b

-9 = -20 +b

Isolate your y intercept by adding 20 to both sides

-9 + 20 = -20 + 20 +b

which results with b = 11

Now you have all components to your final slope intercept form giving you the answer

y = -5/2x + 11

Answer:

[tex]6[/tex]

Step-by-step explanation:

if

[tex] \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6[/tex]

Answer:

Step-by-step explanation:

lets note a= chickens

b=cows

a+b=46

also = chickens has 2 legs, cow=4 legs

2a+4b=156..........we divide this equation by 2 so we can work with smaller numbers

a+2b=78 or we cam write a=78-2b

lets replace in the first equation a+b=46

78-2b+b=46

-b=46-78

-b=-32  multiply by -1

b=32

so we have 32 cows with 128 legs

a+32=46

a=14 chickens with 28 legs

Answer:

15

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

Answer:

252 miles

Step-by-step explanation:

Answer: 3x^3−24x−9

Step-by-step explanation: 3(x^3−7x+1−(x+4))

=(3)(x^3+−7x+1+−x+−4)

=(3)(x^3)+(3)(−7x)+(3)(1)+(3)(−x)+(3)(−4)

=3x^3−21x+3−3x−12

=3x^3−24x−9

Answer:

32 dollars

Step-by-step explanation:

Answer:

Evelyn earned $32.00 in 4 hours.

Step-by-step explanation:

To solve this question, just multiply 8 by 4.

8 x 4 =$32

Therefore, Evelyn earned $32.00 in 4 hours.

Hope this helps! :D

Answer:

gftdtghhgjyggxfdhjhliij

Step-by-step explanation:

Answer:

the average times per week that college students across the nation eat out lies within these 95% confidence interval

      [tex] 3.938  <  \mu < 4.062 [/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is n =  1501

    The sample mean  is  [tex]\= x = 4[/tex]

      The standard deviation is  [tex]\sigma = 1.5[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>   [tex]E = 1.96  *  \frac{1.5 }{\sqrt{1501} }[/tex]

=>   [tex]E = 0.06196 [/tex]

Generally the estimate for average times per week that college students across the nation eat out at a 95% confidence is  mathematically represented as

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

      [tex]4  -0.06196  <  \mu < 4  + 0.06196[/tex]

=>   [tex] 3.938  <  \mu < 4.062 [/tex]

Hence the true average times per week that college students across the nation eat out lies within this interval

Answer:

7/10-2/5 = 7/10 - 4/10 = 3/10

Answer:

bro i'm literally doing math homework right now and i don't know ANYTHING about it. so dude i def cant help u i'm sorry :')

Step-by-step explanation:

Answer:

Its c/2

Step-by-step explanation:

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Answer:

After the passage of a month, the interest that Tori must pay will be $ 4.81.

Step-by-step explanation:

Given that Tori has an unpaid balance of $ 300 on her credit card, and that said credit card has an annual interest of 21% on the unpaid balances, considering that the minimum payment is $ 25, to determine how much she should pay after a month of After your debt, it is necessary to perform the following calculation:

12 = 21

1 = X

21/12 = X

1.75 = X

((300 - 25) x 1.75 / 100) + 300 = X

4.81 + 300 = X

304.81 = X

Thus, after the passage of a month, the finance charge that Tori must pay will be $ 4.81.

Answer:

-1.48

Step-by-step explanation:

I do 0.20+0.40=70+8+0.78+1=1.78

Answer:

[tex]s^{2} 2.5 + 2[/tex]

Step-by-step explanation:

Answer:

4.5s+2

Step-by-step explanation:

Answer:125cm

Step-by-step explanation:

Answer:

only p(x)

Step-by-step explanation:

The others have a restricter domain

Answer

x to 0

10 to 350

hope that helps you:)

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