The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends. D = 2p + 3 i) Solvetheequation d=2p+3forp. ii) How many practices he has to attended to run 13 miles?

Answers

Answer 1

Answer: i) [tex]p=\dfrac{d-3}{2}[/tex]

ii) He has to attend 5 practices to run 13 miles.

Step-by-step explanation:

Given: The distance (d) in miles that Cecil runs depends on the number of track practices (p) he attends.

[tex]d=2p+3[/tex]

i) To solve for p . first subtract 3 from both sides , we get

[tex]d-3=2p[/tex]

Divide both sides by 2

[tex]\dfrac{d-3}{2}=p[/tex]

So. [tex]p=\dfrac{d-3}{2}[/tex]

ii) Put d= 13 , we get

[tex]p=\dfrac{13-3}{2}=\dfrac{10}{2}=5[/tex]

i.e. he has to attend 5 practices to run 13 miles.


Related Questions

ALL THE POINTS I HAVE LEFT PLZ HELP

Answers

Answer:

C

Step-by-step explanation:

r=5t

r squared=25t squared

area=pi r squared

so, A(r(t))=25(pi)(t squared)

5c+4p=18.40 2c+4p=11.20

Answers

Answer:

c = 2.4

p = 1.6

Step-by-step explanation:

Given:

5c+4p=18.40

2c+4p=11.20

-1(2c+4p=11.20)    <-- Distribute -1 so that you can cancel out p

-2c-4p=-11.20

    5c+4p=18.40

+  -2c-4p=-11.20      <-- Add/simplify like terms

    3c = 7.2              <-- Isolate c by dividing    

c = 2.4

Now that we have c, we can find p

5c+4p=18.40

5(2.4)+4p=18.40   <-- Sub in 2.4 for c

12+4p=18.40        <-- Combine like terms in one side

4p=6.4                 <-- Isolate p by dividing

p = 1.6

Which of these triangle pairs can be mapped to each other using both a translation and a reflection across the line
containing AB?

Answers

Answer:

ABC to XYZ

Step-by-step explanation:

Line AB can be moved across to line XY and it will be a perfect match

Answer:

its A

Step-by-step explanation:

bc its A

PLEASE HELP! WILL GIVE BRAINLIEST!!

Answers

Answer: H. AAs is the answer.

Help Please PLEASE PLEASE

Answers

Answer:

the length is 14 the width is 15 and the area is 210

5% of Hana's salary is birr 500 what is her full salary?​

Answers

Answer:

10,000

Step-by-step explanation:

100 ÷ 5 = 20

5 x 20 = 100

500 x 20 = 10,000

Pls help with this for math problem fast asap answer this smart people

Answers

Answer:

I would say c and d

Step-by-step explanation:

Hope this helped :)

Answer:

 a and c i would think

Step-by-step explanation:

because if you put them in pairs you would have an even number which is 16

Help... I’m desperate... I mean really desperate

Answers

Answer:

y=2x+2

Step-by-step explanation:

Answer:2x - y = -3Hope this helps!!

Divide. Reduce the answer to the lowest terms.

3/8 ÷ 1/7

Answers

Answer:

21/8

Step-by-step explanation:

3/8 x 7/1 = 21/8

Answer:

(21/8) (no parenthesis required)

or

2 and 5/8 (no "and" required)

Step-by-step explanation:

When you divide fractions, multiply the first number by the reciprocal of the second (2/3's reciprocal is 3/2 and 5/8's reciprocal is 8/5)

3/8 ÷1/7

= (3/8)*(7/1)

then multiply the numerators together and put them over the denominator

=21/8

= 2 and 5/8

(Need asap)
Factor the polynomial function over the complex numbers.


f(x)=x4+9x3+15x2+9x+14

Answers

Answer:

(x+2)(x+7)(x+i)(x-i)

Step-by-step explanation:

I just took the quiz.

Answer: (x+2)(x+7)(x+i)(x-i)

Step-by-step explanation:

I just took the quiz

Yesterday, Selma read 75 pages of her book. If she reads at a pace of 2 pages per minute today, which table shows only viable solutions for the total number of pages she has read, y, after x minutes have elapsed?

A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 2, 14, 39, 55. The second column is labeled total pages read (y) with entries 79, 101, 153, 185.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries negative 16, 6, 27, 52. The second column is labeled total pages read (y) with entries 43, 87, 129, 179.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 19, 32, 47. The second column is labeled total pages read (y) with entries 0, 113, 139, 169.
A 2-column table with 4 rows titled Selma's Reading. The first column is labeled minutes of reading (x) with entries 0, 11, 20.25, 58. The second column is labeled total pages read (y) with entries 75, 97, 115.5, 191.

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

I just did the question on edg

5u+u–u please tell me !

Answers

Answer: = UwU

Step-by-step explanation:

Answer:

5u

Step-by-step explanation:

Simplifying

5u + -1u = u + 15

Combine like terms: 5u + -1u = 4u

4u = u + 15

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-1u' to each side of the equation.

4u + -1u = 15 + u + -1u

Combine like terms: 4u + -1u = 3u

3u = 15 + u + -1u

Combine like terms: u + -1u = 0

3u = 15 + 0

3u = 15

Divide each side by '3'.

u = 5

Simplifying

u = 5

help me answer this question pls

Answers

1: perpendicular
2:parallel
3:parallel
4:neither

mark talked on his cell phone 5 hours over the weekend. genaro talked on his cell phone for 2 9/10 hours. how much longer did mark talk on his phone than genaro.

Answers

Answer:

3 - 1 9/10 = 2 10/10 - 1 9/10 = 1 1/10 hours

Step-by-step explanation:

which of the following expression is equivalent to 6(x-4)

6p- 24

6p-4

Answers

6p-24
(you times 6 by x and 4)
6*x= 6x ( have no clue why you put it as a p there ahahaha)
6*4=24
6p-24 is equivalent

Two bicyclists were racing toward each other when they were 98 miles apart. Three hours later they did not meet yet and the distance between them was 2 miles. How fast did they bike if one was 3mph slower than the other.

Answers

Let, speed of 1st bicyclist is x.

So, speed of 2nd bicyclist is x-3 .

We know, relative speed when two objects moves towards each other :

[tex]v = x + ( x-3 )\\\\v = 2x - 3[/tex]

Now, distance travelled in 3 hours is (98-2) miles .

So,

[tex]2x-3 = \dfrac{96}{3}\\\\2x - 3 = 32\\\\2x = 35\\\\x = 17.5\ mph[/tex]

Therefore, speed of bikes are 17.5 mph and 14.5 mph.

Hence, this is the required solution.


John's grades in Algebra are: 65, 83, and 93. What grade does John need on the final exam to get an 85
average (mean)?

Answers

Answer:

99 marks

Step-by-step explanation:

Let 'x' be the mark in final exam

Sum of all the data's/ Number of data's = Mean

[tex]\frac{65+83+93+x}{4}=85\\\\\\\frac{241+x}{4} = 85[/tex]

241 + x  = 85*4

241 + x = 340

       x = 340 - 241

x = 99

2. Determine which of the following relations is a function. (Lesson 1-7)
F{-4,3), (-2,-2), (0, 2), (0,5)}
G{(-3, 1), (-3, 3), (-2,-1),(0,5)}
H(-4,-1),(-2,-1),(-1,-1), (3, 3)
J{(2, -5),-1,-1),(0,4), (2, -3)

Answers

Answer:

H

Step-by-step explanation:

H is the answer because in the simplest and easy way I can explain this is that it does have the same x in the table. If you look at F the x 0 repeats twice in the third and forth point. If you look at G the x -3 repeats twice in the first and second point. If you look at J the x 2 repeats twice in the first and forth point. The only answer choice does repeats any of the x's is H with the x's of -4, -2, -1, and 3. So with this being said H is the answer.

The y can repeat as a function just not the x.

What is the formula for a ratio? Is the x-axis horizontal or vertical? Which points are on the y-axis (0, 6)?

Answers

Answer:

formula for ratio: you can write a ratio with :, or, /

x axis is horizontal

0= x axis  6= y axis

Step-by-step explanation:

You start at 1, 4. You move left five units and down seven units. where do you end?

Answers

-4,3 i think that’s the answer

Answer: -4,-3

Step-by-step explanation:

You start at the point (1,4) on the coordinate plane. The first number is on the x-axis, which moves horizontally and is divided down the middle by the y-axis. The left side of the x-axis is negative, while the right side of the x-axis is positive. The second number is on the y-axis, which moves vertically and is divided in half by the x-axis. The upper half of the y-axis is positive, while the lower side of the y-axis is negative.

If you start at the point (1,4) then the x coordinate would be 1 and the y coordinate would be 4. So moving left by 5 units you would be subtracting 5 from the x coordinate. Similarly, by moving down seven units you would be subtracting 7 from the y coordinate.

Solve:

1 - 5 = -4

-4 is your x coordinate

4 - 7 = -3

-3 is your y coordinate

The coordinate (-4,-3) is your answer

which situation results in a final value of zero

Answers

Answer:

is there like a picture of the question?

Answer:

The answer is B

Step-by-step explanation:

Did on test

A florist is making flower arrangements for a party.
He uses purple and white flowers in a ratio of 3 purple
flowers to 1 white flower. How many flowers will he
need in order to make 30 identical arrangements?

Answers

Answer:

Step-by-step explanation:

3 purple : 1 white

30 arangement will need so

minimum will need (3+1)=4 flowers per 30 arangements =120 flowers

minimum will be (90 purple: 30 white)

Answer:

120 flowers

Step-by-step explanation:

3 purple: 1 white

We know he wants to make 30 arrangement so

1 x 30=30 white flowers

3 x 30=90 purple flowers

30 + 90=120

1. How can you tell that a point on the graph is a maximum or minimum?
2. How would you explain average rate of change to a classmate who was absent today? What does it tell us and how do we find it?

Answers

Answer:

1) To see whether it is a maximum or a minimum, in this case we can simply look at the graph. f(x) is a parabola, and we can see that the turning point is a minimum. By finding the value of x where the derivative is 0, then, we have discovered that the vertex of the parabola is at (3, −4).

2

*PLZ HELP*...Given the following word problems, write an inequality that models the problem, then solve and check.

J.ulian wants to pay $25 at most for eating out in the month of September. He has already spent $13.72. How much more money can he spend on eating out in September?

Answers

Answer:

x [tex]\leq[/tex] 11.28

Step-by-step explanation:

x + 13.72 [tex]\leq[/tex] 25

x [tex]\leq[/tex] 11.28

Therefore, he can spend less than or as much as $11.28.

Write an equation for the parabola whose vertex is at (3, 6) and which
passes through (4, 4).

Answers

Answer:

           f(x) = -2 (x - 3)² + 6

Step-by-step explanation:

The vertex form of the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

so the equation of parabola with the vertex (3, 6) is

f(x) = a(x - 3)² + 6  

passes through the point (4, 4) means: if x=4 then f(x)=4

4 = a(4 - 3)² + 6  

4 -6 = a(1)² + 6 -6

-2 = a

Therefore the equation of parabla is:

                                  f(x) = -2 (x - 3)² + 6  

The vertex of a parabola is the maximum or the minimum point on the parabola.

The equation of the parabola is: [tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]

The given parameters are:

[tex]\mathbf{Point = (x,y) =(4,4)}[/tex]

[tex]\mathbf{Vertex = (h,k) =(3,6)}[/tex]

The equation of parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

Substitute values for x, y, h and k

[tex]\mathbf{4 = a(4 - 3)^2 + 6}[/tex]

[tex]\mathbf{4 = a(1)^2 + 6}[/tex]

[tex]\mathbf{4 = a + 6}[/tex]

Subtract 6 from both sides

[tex]\mathbf{a = -2}[/tex]

Substitute values for h, k and a in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]

Hence, the equation of the parabola is:

[tex]\mathbf{y = -2(x -3)^2 + 6}[/tex]

Read more about parabolas at:

https://brainly.com/question/4074088

highschool math. this one is pretty easy.​

Answers

A bisector splits an angle into two equal angles.

The answer is the last one: it splits the angle into two congruent angles.

What is the purpose of the cell cycle?

Answers

Answer:

An Overview of the Cell Cycle. The most basic function of the cell cycle is to duplicate accurately the vast amount of DNA in the chromosomes and then segregate the copies precisely into two genetically identical daughter cells. These processes define the two major phases of the cell cycle.

Evaluate each function for x = 4.
h(x)=7x+15

Answers

Answer:

h(4) = 43

Step-by-step explanation:

h(4) = 7(4) + 15

h(4) = 28 + 15

h(4) = 43

Answer:

h(4) = 43

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(x) = 7x + 15

x = 4

Step 2: Evaluate

Substitute:                    h(4) = 7(4) + 15Multiply:                        h(4) = 28 + 15Add:                              h(4) = 43

Dwayne has a wrench set with the socket sizes of 1, 1/2, 1/4, 1/8, 1/16 what would the next size be?​

Answers

Notice that the denominator is a multiplied by 2 for each fraction.

1/1•2 = 1/2

1 /2•2 = 1/4

1/4•2 = 1/8

1/8•2 = 1/16

1/16•2 =1/32

The next size is 1/32.

Which table made this graph?

Answers

Answer:

C. IV

Step-by-step explanation:

All the points on the graph have an x value of -3

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