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.

Answer:

the first answer is 4/9x 2/1 i believe or 4/9x 1/2.

the second answer is 8/9 or 4/18

I hope this helped

Answer:

36miles

Step-by-step explanation:

Given parameters:

Rate  = 12mph

Time  = 3hr

Unknown:

Distance = ?

Solution:

The given rate amount is the speed. Speed is the distance divided by the time.

It is mathematically expressed as:

         Speed  = [tex]\frac{distance}{time}[/tex]  

    Distance  = Speed x time

    Distance  = 12 x 3  = 36miles

Answer:

x=8

Step-by-step explanation:

25=4x-7

+7        +7

32=4x

32/4  4x/4

8=x

Answer:

B

Step-by-step explanation:

Answer:

She wins 40 games

Step-by-step explanation:

I'm not the best at explaining but 5x12=60 so then we multiply 8 by 5 aswell and bam we have 40.

Answer:

A

Step-by-step explanation:

2^-2 is -4 I believe and then multiplied by three would be -12

Answer:

X=2, AB=14, DC=14

Step-by-step explanation:

3x+8=x+12

Subtract x from both sides

2x+8=12

Subtract 8 from both sides

2x=4

Divide by 2 on the sides

Answer: x=2

Then replace the x's with (2) and multiply

3(2)+8 and (2)+12

Answer:

Both AB and DC are equal to 14.

Step-by-step explanation:

Answer:

B is the answer for the question

B IS YOUR ANSWER LOL.

Answer:

Step-by-step explanation:

Vertex

Answer:

6:5

Step-by-step explanation:

i think this is it as I square rooted it and go that

Answer:

Did you mess up the question? This doesn't make any sense. If you post a new question I can help! Otherwise uhhh x=9*2 ???

Answer:

It's C

Step-by-step explanation:

Multiply the length by the width and you are going to do that by multiplying 4x by 2x and 4 and also multiply -6 by 2x and 4. and then you simplify and you should get the equation C

Answer:

+80=0 at the end of the thing

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

-9+9= 18

9x9= 81

they have to use the same number, but one is added and the other is multiplied

PEMDAS = Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, subtract the numbers in the parentheses, then multiply by 11.

(12 - 9) = (3)

3 x 11 = 33

19 + 11 - 12^2 ÷ 3(33) - 7

Now, just multiply 33 by 3, and then square 12 (12 x 12).

19 + 11 - 144 ÷ 99 - 7

Now, you can divide 144 by 99, this is an infinite number, so..

144 ÷ 99 = 1.455

19 + 11 - 1.455 - 7

Finally add, then subtract.

30 - 1.455 - 7

28.545 - 7

The final answer is 21.545.

Step-by-step explanation:

its C. 3/4 is equal to .75

-.59 obviously goes last

Answer:

This known value does not match the measured value at the 95% confidence level.

The 95% confidence interval for value is calculated as 42.92 to 43.78%,

Step-by-step explanation:

The complete question is:

Police have a hit-and-run case and need to identify the brand of red auto paint. The percentage of iron oxide, which gives paint its red color, was determined to be 43.35 ± 0.33% by one method of analysis using five measurements. The color reference provide by the automotive manufacture is 44.21%. What can you conclude about whether the sample matches the reference at a 95% confidence level?

Student's t test is used to compare the two values .

Here n=5

Degrees of freedom =ν= n-1= 5-1=4

The value from t- table for 4 d.f at 95 % confidence interval is 2.776

The test statistic is

x`± t ∝/2(v). S/√n

43.35 ± (2.776)(0.33)/√5

= 43.35 ± 0.43

= 43.78, 42.92

Here the 95% confidence interval for μ calculated is 42.92 to 43.78%, where as color reference provided by the automotive manufacture is 44.21%.

This known value does not match the measured value at the 95% confidence level.

I'm pretty sure it is the fourth answer.

Answer:

Step-by-step explanation:

perimeter of the given trapezoid = 7 + 4 + 4 + 5

                                                      = 20 units

                                             (see image below)

Answer:

answer is  30

Step-by-step explanation:

10 times 3 = 30

Answer:

Step-by-step explanation:

The relationship is:

y - is the money received for the coupons, x- is the number of coupons

x is the domain and it includes whole numbers from 0 to 11:

y is the range and it includes the set of numbers:

Answer:

1

Step-by-step explanation:

Answer:

40 cm

Step-by-step explanation:

x= length of each side in cm

Pentagon= 5 sides

Pentagon Perimeter= 5x substitute the perimeter

200= 5x

divide both sides by 5

40cm= x

ANSWER: The length of each side of the pentagon is 40cm.

Answer:

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) = 0.975

Step-by-step explanation:

Step(i):-

The mean number of miles between services

                   μ= 3408 miles  

The Variance of miles between services

                σ² = 249,001

                σ = √249,001 = 499

Let 'X' be a random variable in a normal distribution

Given sample size 'n' =36

Step(ii):-

           [tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

          Z = -163/83.16 = 1.96

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245)  =   P(Z≤1.96)

                   =   0.5 + A(1.96)

                   =  0.5 + 0.4750

                  =   0.975

Final answer:-

The probability that the mean of a sample of 36 cars would be less than 3245 miles

P(X⁻≤3245) =0.975

Answer:

It should be -7

Step-by-step explanation:

since it starts from D to B in the number line