Noah is running a portion of a marathon at a constant speed of 6 miles per hour. Make a table to predict how long it would take him to run different distances at that speed, and how far he would run in different time intervals. Use decimal notation.

Answer:

15x + 25y ≥ 400

x + 2y ≤ 20

x ≥ 0, y ≥ 0

Step-by-step explanation:

Here, we are modelling the total number of hours she can use in making images in a week and the total amount that can be earned in a week, considering the given constraints.

Number of small images in a week = x

Number of hrs in making images if it takes 1 hr to make 1 = 1*x = x

Number of large images in a week = y

Number of hrs in making large images if it takes 2 hrs to make 1 = 2*y = 2y

Given that she has up to 20 hrs to make the images, therefore, the inequality that models this situation would be:

x + 2y ≤ 20

This implies that, the hours spent altogether can be less than or equal to 20hrs

Amount for small images = $15

Amount in total for all images made in a week = $15*x = 15x

Amount for large images = $25

Amount in total for all images made in a week = $25*y = 25y

Given that she can earn AT LEAST $400 in a week, therefore, the inequality that models this situation would be:

15x + 25y ≥ 400

This implies that, the amount she wants to make in a week would be $400 or more.

The system of inequalities would be:

x + 2y ≤ 20

15x + 25y ≥ 400

x ≥ 0, y ≥ 0

Answer:

15.5

Step-by-step explanation:

-2 7/12 = -31/12

-31/12 ÷ -1/6 = 15 1/2 or 15.5

Answer:

no

Step-by-step explanation:

two points cant be on the same line in a vertical pattern

Let's see what to do buddy...

_________________________________

Step (1)

Suppose we want to find the sum of numbers from 1 to n.

To do this, we use the following method.

By writing the sum of numbers from 1 to n

, Then we write the sum of numbers n to 1 below it, see :

[tex]s = 1 + 2 + 3 + ... + n[/tex]

[tex]s = n + (n - 1) + (n - 2) + ... + 1 \\ [/tex]

Now we add the sentences of the above two phrases, peer to peer like this :

[tex]1 + n = n + 1 \\ [/tex]

[tex]2 + n - 1 = n + 1[/tex]

[tex]3 + n - 2 = n + 1[/tex]

And the others.....

So we have :

[tex]2s = ( n + 1) + (n + 1) + ... + (n + 1) \\ [/tex]

We had n numbers to sum so we have :

[tex]2s = n \times (n + 1)[/tex]

Divided the sides of the equation by 2

[tex]s = \frac{n \times (n + 1)}{2} \\ [/tex]

Remember this step I will use it again.

_________________________________

Step (2)

What does the linear sequence mean ?

The linear sequence is the sequence which any terms created by the sum of previous term with constant.

I name that constant value d.

According to above :

[tex]t(2) = t(1) + d[/tex]

And

[tex]t(3) = t(2) + d [/tex]

[tex]t(3) = t(1) + d + d[/tex]

[tex]t(3) = t(1) + 2d[/tex]

I have a question ;

[tex]3 - 1 = 2[/tex]

Is it correct ?

If it is correct we have :

[tex]t(3) = t(1) + (3 - 1)d[/tex]

WOW we found a thing ;

Put n instead of 3 :

[tex]t(n) = t(1) + (n - 1)d[/tex]

_________________________________

Step (3)

Stop right here.

Let's go to find the sum of the n first terms of the linear sequence.

Do you remember what did we do in step(1) ? Of course you do.

Let's do it again.

[tex]s = t(1) + t(2) + t(3) + ... + t(n) \\ [/tex]

[tex]s = t(n) + t(n - 1) + t(n - 2) + ... + t(2) + t(1) \\ [/tex]

According to the thing what we found in step(2) we have :

[tex]s = t(1) + ( \: t(1) + d \: ) + ( \: t(1) + 2d \: ) + ... + ( \: t(1) + (n - 1)d \: ) \\ [/tex]

[tex]s = ( \: t(1) + (n - 1)d \: ) + ( \: t(1) + (n - 2)d \: ) + ... + t(1) \\ [/tex]

Sum the two above equation's terms like this:

[tex]t(1) + t(1) + (n - 1)d = 2t(1) + (n - 1)d \\ [/tex]

And

[tex]t(1) + d +t(1) + (n - 2)d = 2t(1) + d(n - 2 + 1) = 2t(1) + (n - 1)d \\ [/tex]

And the others like this.

We had n terms so we sumed n terms.

So we have :

[tex]2s = n \times ( \: 2t(1) + (n - 1)d \: )[/tex]

Divided the sides of the equation by 2

[tex]s(n) = \frac{n}{2} \times ( \: 2t(1) + (n - 1)d \: ) \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

Ben has 225

Step-by-step explanation:

100 ÷ 4 = 25

25 × 9 = 225

Answer:

x= 85

Step-by-step explanation:

(7x+6)-(5x-4)=180

There is a negative 1 between the two parenthesis

-1(5x-4)

-5x+4

Now plug it back into the equation and take out the parenthesis

7x+6-5x+4= 180

2x+10=180    Now we can solve

    -10  -10

2x= 170

2x/2 = 170/2

x= 85

I hope this helps! :)

Answer:

x=85

Step-by-step explanation:

Step 2 i believe im not sure tho.

Answer:

X-3

Step-by-step explanation:

The graph shifted 3 units to the left so you subtract from the x value.

Answer:

B and D I think.............

Answer:

B and D

Step-by-step explanation:

Answer: 2x-6>-16 = -5

Step-by-step explanation:

add 6 to -16, you get -10.

divide 2x by 10, you get -5

Answer:

the triangle is 10 the rest are 3

Answer:

500 = 100%

20% = 60

Step-by-step explanation:

300 = 60%

50 = 10%

500 = 100%

100% = 300

10% = 30

20% = 60

Hope this helps!

Answer:

60% of 750 = 300

60 out of 300 = 20%

I hope that this can help you ^‿^

Answer:

0.35

Step-by-step explanation

6 ) 2.1 (  0.35   <------- Quotient.

     18  

       30

       30

        ...

Answer:

Length of latusrectum =9=

a

2b

2

⇒b

2

=

2

9a

..... (i)

and e=

4

5

∵1+

a

2

b

2

=

16

25

∴1+

2a

2

9a

=

16

25

[from Eq. (i)]

⇒

2a

9

=

16

9

⇒a=8

On putting the value of a in Eq. (i), we get

b

2

=

2

9×8

=36⇒b=6

∴ Equation of hyperbola is

8

2

x

2

−

6

2

y

2

=1⇒

64

x

2

−

36

y

2

=1

Answer:

A. y+11

Step-by-step explanation:

-3/3 = -1

12 + ( -1 ) = 11

y + 11

hope this helped :)

you need to put a picture again

sorry i cant answer because it doesnt show diagram

Answer:

15 miles per gallon

Step-by-step explanation:

unit rates compare units of one quantity to A SINGLE unit of another quantity

Answer:

15 miles per gallon.

Step-by-step explanation:

When it comes to unit rate, you are trying to find 1 of something. These typically have words like 'per'.

Answer: the corrects answer is 31

Step-by-step explanation:

Answer:

3250 milliliters transfers into 3.25 liters.

Answer:

The value is  [tex]    e  =  1.92 [/tex]

Step-by-step explanation:

From the question we are told that

   The formula for radius of curvature is [tex]R = \frac{1600}{15} +127e[/tex]

   The design speed of the roadway is  [tex]v =  40 \ km/hr[/tex]

    The value of radius of curvature considered R =  350 m

From the equation given e is the superelevation rate

Now making the subject of the formula

        [tex]    e  =  \frac{R}{127}  - \frac{1600}{1905} [/tex]

At R= 350

         [tex]    e  =  \frac{350 }{127}  - \frac{1600}{1905} [/tex]

          [tex]    e  =  1.92 [/tex]

Here, we are required to determine the maximum superelevation rate, e (rounded to 2 decimal places) recommended if the radius of curvature, R is 350 meters.

The answer is e = 1.92 (rounded to 2 decimal places).

First, from the information given, the minimum radius of curvature, R is related to the maximum superelevation rate, e by the formular;

R = (1600/15) + (127e)

Therefore, to evaluate the value of e for R = 350, we have;

350 - (1600/15) = 127e.

350 - (1600/15) = 127e.350 - 106.667 = 127e

Therefore, 243.333 = 127e.

Therefore, e = 1.9160meters

As a result, The maximum superelevation rate, e recommended if the radius of curvature, R is 350 meters is:

Read more:

https://brainly.com/question/21140562

Answer:

x + y - 4 = 0

Hope this helps, if you need more of an explanation feel free to let me know!

Answer:

P(no steroid user / positive reading on test) = 0.3309

Step-by-step explanation:

Computation:

Bayes' Theorem:

P(A / B) = P(A and B) / P(B)

P(no steroid user / positive reading on test) = P(no steroid user and positive) / P(positive)

P(no steroid user / positive reading on test) =  (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)

P(no steroid user / positive reading on test) = 0.3309

The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.

Since  A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users.

So, here the probability should be

P(no steroid user / positive reading on test) =  (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)

= 0.3309

Hence, The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.

Learn more about probability here: https://brainly.com/question/24442276

Given parameters:

Number of pencils = [tex]4\frac{1}{2}[/tex] pencils

Time taken = [tex]3\frac{1}{3}[/tex] minutes

Unknown:

Number of pencils produced in 1 minute;

Solution:

To solve this problem, let us first find the rate of the machine;

       Rate of machine = [tex]\frac{number of pencils }{time taken}[/tex]

       Rate of machine = [tex]\frac{\frac{9}{2} }{\frac{10}{3} }[/tex]   = [tex]\frac{9}{2} x \frac{3}{10}[/tex]   = [tex]\frac{27}{20}[/tex] pencils/minute

Now, number of pencils produces in 1 minute;

            Number of pencils  = rate of machine x time taken

             Number of pencils = [tex]\frac{27}{20}[/tex]  pencils/ min x 1 min

             Number of pencils = [tex]\frac{27}{20}[/tex]pencils

The number of pencils produced in 1 minute is [tex]\frac{27}{20}[/tex]

Answer:

85 can

Step-by-step explanation:

21 x 4 = 84

Then you add one more because there is still 1/4 of a pint left and each cup can hold that much too.

Answer:

NPK: RIGHT ANGLE

NPL: STRAIGHT ANGLE

JPL: OBTUSE ANGLE

Step-by-step explanation:

Answer:

ok, relax and listen I’ve got this ok?

Step-by-step explanation:

You just move it up 4 squares to (2, 9), (10,9)

see?you got this I believe in you!!!

Answer:

it is either 10 or 6.67 minutes per hour

Step-by-step explanation:

if you ran 3 miles basically in 30 minutes :30 minutes divided 3 miles = 10 minutes per mile pace or 6.67 minutes per hour

Answer:

The algebraic expression for the nth term in this pattern is n^2 + 3n

Step-by-step explanation:

We want an algebraic expression for the nth term in this pattern.

Like we are told, there must be an expression that includes the term n^2

So therefore;

We need to express each of the terms to include the n^2 term

Kindly note that the n notation will represent the term number of the value we are considering. Let’s take it one after the other.

for 4; 1^2 + 3(1)

For 10; 2^2 + 3(2)

For 18; 3^3 + 3(3)

For 28; 4^2 + 3(4)

For 50; 5^2 + 3(5)

So the nth term will be;

n^2 + 3n

Answer:

37.4

Step-by-step explanation:

the number places after the column go as followed ; tenth, hundredths, thousandths, ten thousandths