you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds. graph each ratio relationship in the coordinate plane

(im in 6th grade)​

Answers

Answer 1

In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:

d = mt + b

d is the distance covered

t is the time taken

m is the speed

If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)

Get the slope of the line:

m = (9-30)/(2-5)

m = -21/-3

m = 7

Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b

9 = 7(2) + b

9 = 14 + b

b = -5

The required equation to plot will be expressed as y = 7t - 5

Plot the required graph

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You Are Skateboarding At A Pace Of 30 Meters Every 5 Seconds. Your Friend Is In-line Skating At A Pace

Related Questions

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x

Answers

The solution to the given expression is -15/4

Equations are expressions separated by an equal sign.

Given the expression 17 = -13 -8x

Add 13 to both sides

17 + 13 = -13 - 8x + 13

30  = -8x

Swap sides

-8x = 30

Divide both sides by -8

-8x/-8 = -30/8

x = -30/8

x = -15/4

Hence the solution to the given expression is -15/4

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Can anyone help, im stuck

Answers

Answer:

The second one is right

Step-by-step explanation:

anyone help, im stuck

Answer:

The third one

Step-by-step explanation:

Since, 1 can be represented by x we can make an equation

2 can be represented y

and 4 can be represented by x

Since x + y = 180 and x + z = 180

y = z

Or 2 = 4

Brainliest please :)

1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive.
The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.
________________________________

Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?
A. -5.1 + d > 3 1/2
B.-5.1 + d > -3 1/2
C.-5.1 + d > 3 1/2
D.- 5.1 + d > -3 1/2

________________________________

Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3

Answers

The questions can be represented on a number line so that they become more clear and meaningful. The answers to each question are:

1. The scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. Option A. -5.1 + d > 3.5 OR C. -5.1 + d > 3.5

3. Alex would represent it as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

A number line is a system that can be used to show the positions of all directed numbers.

Thus, the solutions to the given questions are stated below:

1. Let the scuba diver's previous deepest dive be represented by d . Such that,

2.5 d = - 80 .......... 1

So that;

d + p = -80 ............ 2

From equation 1,

2.5 d = -80

d = -32 feet

From equation 2,

-32 + P = - 80

p = -80 + 32

  = -48 feet

p = -48 feet

⇒ -32 + (-48) = -80

Therefore, the scuba diver's previous deepest dive was 32 feet below the surface of the ocean.

2. This situation can easily be represented by a number line, so that Veronica's home is located at point zero of the number line.

Then, the total distance that Veronica drove, d = (5.1 + 3.5) miles

                                                         = 8.6 miles

Thus, since the distance to the store is more than 3.5 miles east of her home,  thus the appropriate inequality that represents the situation is:

   -5.1 + d > 3.5

The correct option is: A or C

3. Let the number be represented by n, so that:

[tex]\frac{1}{2}[/tex]n  > [tex]1\frac{1}{3}[/tex]

Alex would represent the statement as: [tex]\frac{1}{2} n[/tex]  > [tex]1\frac{1}{3}[/tex]

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6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?

Answers

Answer:

c

Step-by-step explanation:

parallel perpendicular or neither

Answers

Answer:

Parallel

Step-by-step explanation:

Line A can be simplified to 1/5x = y.

Line B can be simplified to y = 1/5x + 16.

They both have the same slope, 1/5, so they will be parallel.

Answer:

Parallel

Step-by-step explanation:

Same thing as the last one. Put it in [tex]y=mx+b[/tex]

A: [tex]y=1/5x[/tex]

and

B: [tex]y=1/5x+16[/tex]

These lines are parallel because they have the same slopes, but different y-intercepts.

Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term

Answers

Solution:Ali walks 2 5/6 km and Ahmed walks 1 1/2 km.Therefore, the distance they walked altogether

= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km

Answer:

They walked 4 1/3 Km altogether.

Hope it helps.

Do comment if you have any query.

I need help on this question please

Answers

Answer:

ABC -- not similarΔJKL ~ ΔHIG, AA similaritynot similar

Step-by-step explanation:

a) Side ratios in the smaller triangle are 3:4:6. In the larger triangle, they are 5:6:9. These are not equivalent ratios, so the triangles are not similar.

__

b) The missing angle in the left triangle is 90° -55° = 35°. This matches the acute angle shown in the right triangle, so the right triangles are similar by the AA similarity criterion. The given triangle JKL starts with the largest acute angle, then the right angle, so the similarity statement must be ...

  ΔJKL ~ ΔHIG

__

c) All we know for sure is that the vertical angles are congruent. We need information about a pair of sides or of another angle before any similarity can be claimed. The triangles are not necessarily similar.

Help me please I’m stuck

Answers

The x axis of the point is being translated three units to the left (going from 6 to 3)
The y axis of the point is being translated 2 units down (going from 4 to 2)

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?

Answers

Answer:

2.42

Step-by-step explanation:

I AM VERY SORRY IF ITS WRONG

six times the difference of a number and three is -42 (write and equation and solve)

Answers

Here's ur perfect answer

Hello!

6(3-x)=-42

Use the Distributive Property:

18-6x=-42

-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)

-6x=-60

6x=60

Divide both sides by 6:

x=10

Hope it helps!

If you have any questions, feel free to ask in the comments! (:

~An excited gal

[tex]SparklingFlower[/tex]

3x + 3 = 2x + 12 i need help for this answer

Answers

Answer:

X=9

Step-by-step explanation:

3x+3=2x+12

3x-2x=12-3

x=9

6 to the power of 2+ 15

Answers

Answer:

51

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Why are negative exponents not positive.

Answers

A positive exponent tell how many times to multiply the basement base number, and a negative exponent tells us how many times to divide the base number

Please help ASAP...
Find - xy , for x = -75.9 and y = 2.6.

Answers

197.34

Step-by-step explanation:

sincebit says that x multiplied by y

you multiply -75.9 *2.6 which results 197.34

What is the following sum???? Please help ASAP

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The equivalent expression is ~

[tex]7 \bigg( \sqrt[5]{ {x}^{2}y } \bigg)[/tex]

just assume the whole thing in brackets as a single variable and perform addition ~

gergio ran 5 kilometers in 30min. If he ran at this same pace how many did he run each min

Answers

Answer:

6 minutes per kilometer

The quotient of 7 and twice a number equals 5

Answers

Solution:

Let the number be x.

[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]

Answer:

[tex]x = \frac{7}{10} [/tex]

Hope it helps.

Do comment if you have any query.

If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?

Answers

£3880 is the answer after two years the amount will be 4000£ because 2000 x 2 =4000 and if it pays compound interest you would have to take 120 out of 4000 because 3% of 2000 is 60 so 60x2=120 4000-120=3880

(x, 7) and (-7, 4); slope: 1

Answers

Answer: x= -4

Step-by-step explanation: slope = (y2-y1)/(x2-x1).

(4-7)/(-7-x)

-3/-7-x=1

Multiply both sides by -7-x

-3=-7-x

Add 7 to both sides

4=-x so x = -4

` 10,800 for 3 years at 121 2% per annum compounded annually.​

Answers

Answer:

15,173.22

Step-by-step explanation:

Looks like there's a typo in the question.

Should it be:

10,800 for 3 years at 12% per annum compounded annually.​

-------------------------------

a = 10800 * (1.12)^3

a = 15,173.22

rewrite the expression as a single fraction 3/8 + 1/8

Answers

Answer:

Step-by-step explanation:

3/8+ 1/8 = 4/8

1. What is the vertex for the following quadratic function, y = 2x^2 - 4x + 5?
A). (1,3)
B). (3, 1)
C) (0,5)
D). (2,5)

Answers

Answer:

A

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = 2x² - 4x + 5 ← is in standard form

with a = 2 and b = - 4 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1

Substitute x = 1 into the equation for corresponding value of y

y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3

vertex = (1, 3 ) → A

How do you solve Y+4= -3 (x-2)

Answers

Answer:

This problem is in Point Slope form:

To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:

Distribute -3 among everything inside the parenthesis to get y + 4 = -3x + 6.Subtract 4 from 6 to get y = -3x + 2.

To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:

Use the Slope-Intercept form of this equation, in order to convert it.Add 3x on both sides of the equal sign, to get 3x + y = 2.

Hope this helps you :)

What's (7 x 100) + (4 x /100) + (8 x 1/1000) in standard form?

Answers

Answer:

(7*100) can be written as 7*10^2

4 * / 100 i don’t know

if it was 4 * 100 then it’s 4*10^2

if it was divided then it’s 4*10^-2

8* 1/1000 = 8/1000 = 8*10^-3

add together to get 1.100008 * 10^3 (if it was 4*100)

or 7.00048 * 10^2 ( if it was 4/100)

2.7z + 1.2z - 6.5 = 0.7

Answers

Answer:

= 1 . 8 4 6 1 5 3 8 4 6

Step-by-step explanation:

I took the test yesterday and I got a 100 on the math part

Answer/Step-by-step explanation:

Combine multiplied terms into a single fraction

2.7z+1.2z−6.5=0.7

2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7

Combine multiplied terms into a single fraction

2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7

2 7 /1 0 + 6 5 − 6 . 5= 0 . 7

Find common denominator

2 7 /1 0 + 6 5 − 6 . 5= 0 . 7

[tex]\frac{27z}{10} +\frac{2.6z}{10} +\frac{10(-6.5)}{10} =0.7[/tex]

Combine fractions with common denominator

[tex]\frac{27z+2*6z+10(-6.5)}{10} =0.7[/tex]

Multiply the numbers

[tex]\frac{27z+12z-65}{10} =0.7[/tex]

Combine like terms

[tex]\frac{39z-65}{10} =0.7[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]10*\frac{39z-65}{10} =10*0.7[/tex]

Cancel multiplied terms that are in the denominator

39z-65=10*0.7

Multiply the numbers

39z-65=7

Add 65 to both sides of the equation

39z-65+65=7+65

Simplify

39z=72

Divide both sides of the equation by the same term

[tex]\frac{39z}{39} =\frac{72}{39}[/tex]

Simplify

Z= 1.846153846

Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?

Answers

Answer:

to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet

help me for brainlist

Answers

The line intersects x - Axis at 6

- BRAINLIEST ANSWERER

find the slope of the line that passes through the following points a(4, -14) b(6, 18) ​

Answers

Answer:

Slope=16

Step-by-step explanation:

What is 121 divided by 18?

Answers

Answer:

6.7222222222

Step-by-step explanation:

This Maths Is Easy, Y Did You Post It?

Answer:

=6.7222222222

Step-by-step explanation:

Easy peesy lemon squezy!

Can someone help me please

Answers

Step-by-step explanation:

it just means to convert these equations into function definitions.

and a function looks like

y = ... something with x, factors, other functions, constants

1)

x + y = z

y = -x + z or z - x

2)

x - y = z

x - z = y or y = x - z

3)

x × y = z

y = z/x

4)

x/y = z

x = z × y

x/z = y or y = x/z

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