Luke likes running. He runs 2 1⁄2 miles every 1⁄2 hour. Complete the table to find out how far he runs in each time interval. Which one shows his unit rate (miles per hour)?

trinomial and i believe its a degree of 4

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

Given that:

Per pound cost of kentucky bluegrass seed = $5.75

Per pound cost of tall fescue seed = $4.50

Per pound cost of mixture of seeds = $5.25

[tex]k[/tex] is the amount of kentucky blue grass.

Total amount of the mixture = 5 pounds

Therefore, amount of tall fescue seed = (5 - [tex]k[/tex]) pounds

To find:

The value of [tex]k[/tex].

Cost of [tex]k[/tex] pounds of kentucky bluegrass seed = [tex]\$5.75k[/tex]

Cost of (5 - [tex]k[/tex]) pounds of tall fescue seed = [tex]\$(5-k)4.50[/tex]

As per question statement:

[tex]5.75k+(5-k)4.50=5.25\times 5\\\Rightarrow 575k+5\times 450 -450k=525\times5\\\Rightarrow 125k=75\times5\\\Rightarrow k =3\ pounds[/tex]

Amount of kentucky blue grass seed used = 3 pounds

Amount of tall fescue seed used = 5-3 = 2 pounds

Step-by-step explanation:

let eqn be y = 1/2x + b

sub (-6, 1):

1 = 1/2(-6) + b

b = 4

therefore, eqn is y = 1/2x + 4

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

A = 102   B = 78   C = 56

Step-by-step explanation:

All three sides of a triangle added up equals 180.

So 41 + 37 + A = 180

A = 102

A straight line = 180 degrees.

One measurement is 102, so the other is 78.

You now know B is 78, and that 3 angles equal 180.

46 + 78 + c = 180

c= 56

Answer:

(- 2, 17 ) and (5, - 11 )

Step-by-step explanation:

Given

y = 9 - 4x

Substitute the given values of x into the equation and evaluate for y

x = - 2, then

y = 9 - 4(- 2) = 9 + 8 = 17 ⇒ (- 2, 17 ) ← ordered pair

x = 5, then

y = 9 - 4(5) = 9 - 20 = - 11 ⇒ (5, - 11 ) ← ordered pair

Answer:

63.63 seconds, or round up if you need to?

Step-by-step explanation:

I'm pretty sure it's this:

Answer:

y=a( 1+  r/n)^ nt

growth is a= 2500     yearly is n= 1

y= 2500( 1+ .065/1)^ 1.7  =   $3884.97

Answer:C) 25.60

Step-by-step explanation:204.8÷8=25.60

Answer:

:C) 25.60

Step-by-step explanation:

answer:

the answer is a

Answer:

0.075

Step-by-step explanation:

Answer:

24 degrees

Step-by-step explanation:

If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.

7+17=24

A pool of money where investors buy shares and a fund manager invests them and gives the investor the return; the way that most Americans invest their money because of the ease. hope that helps!

Answer:

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

Step-by-step explanation:

Given

A is the set of integers greater than - 7 and less than - 3

B={c, h, j, k, v, y}

For set A:

The integers greater than -7 will be -6,-5 ....

As the set has integers less than -3, the set will be:

[tex]A = \{-6,-5,-4\}[/tex]

Cardinalities:

Cardinality is the number of elements in the set.

So,

[tex]n(A) = 3\\n(B) = 6[/tex]

Now for the statements:

-6 ∈ A        True as -6 is a member of set A

-14 ∈ A       False as -14 is not a member of A

k ∈ B          True

Q∈B            False

Hence,

n(A) = 3

n(B) = 6

-6 ∈ A => True

-14 ∈ A => False

k ∈ B=> True

Q∈B = >False

Answer:

[tex]y = - \frac{ 5}{3} x + ( - \frac{5}{3} )[/tex]

Step-by-step explanation:

-3y=5-6x

y=5-6x÷(-3)

y=(-5/3)+2x

y=2x-(5/3)

At y-intercept x is 0 and y is -(5/3)

Gradient m=10-(-5/3)÷(4-0)

=35/12

y=mx+c

10=(35/12)4+c

c=-(5/3)

Answer:

y =  [tex]-\frac{1}{2}[/tex]x + 12

Step-by-step explanation:

Given expressions:

           Coordinates = (4,10)

  Equation of the line;  6x - 3y = 5

Unknown:

Equation of the line perpendicular = ?

Solution:

 A line perpendicular to the given one will have a negative inverse slope.

  Equation of any given line is expressed as:

              y  = mx + c

y and x are the coordinates

 m is the slope

 c is the intercept

             Now; re-write 6x-3y = 5 in the form y= mx + c and find the slope;

   6x - 3y = 5

          -3y = 5- 6x

            y = [tex]-\frac{5}{3}[/tex] + 2x

The slope of a perpendicular line will be [tex]-\frac{1}{2}[/tex]

Also, let us find the y-intercept, c;

         y  = mx + c

         10 =  [tex]-\frac{1}{2}[/tex] x 4 + c

       10 = -2 + c

         c  = 12

The equation of the new line is ;

        y =  [tex]-\frac{1}{2}[/tex]x + 12

Answer:

b

Step-by-step explanation:

Answer:

x>1 (inequality form)

(1,∞)

Step-by-step explanation:

Hope this helped :)

Answer:

42.36

Step-by-step explanation:

Big boi questions just use the caculator

Answer:

The constant of proportionality is 6 because 6x2=12 6x4=24 6x6=36 and it keep going

Step-by-step explanation:

Um not sure what you're asking for bud you didn't finish.

Answer:

Okay?????? I don't think you finished

Answer: N/A

Step-by-step explanation:

We need more info

Answer:

Thus, the greatest number of rides I can go on is 15 rides

Step-by-step explanation:

I have $35.50 to spend for admission plus rides in the amusement park.

Admission costs $13. That leaves me with

$35.50 - $13 = $22.50

to spend on rides.

Considering each ride costs $1.50, we can find the maximum number of rides by dividing the remaining money by the cost per ride as follows:

$22.50 / $1.50 = 15

Thus, the greatest number of rides I can go on is 15 rides

Answer:

The answer is C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

f(0) means the graph of f(x) in which the value of the variable x in the function f is zero.. So, f(0) represents graph for zero value of x

Answer:

C

Step-by-step explanation: