A car travels at a constant speed, as shown on the double number line. Double number line. Time, hours. Distance, kilometers. How far does the car travel in 14 hours? Explain or show your reasoning.

Answers

Answer 1

Answer:

980 km.

Step-by-step explanation:

The speed of the car is constant,

From the double number line:

When the time is 0 hour, the distance covered is 0 km.

When the time is 1 hour, the distance covered is 70 km.

When the time is 2 hours, the distance covered is 140 km,

which can be written as

when the time is 2 hours, the distance covered is 70 x 2 km.

Similarly,

When the time is 3 hours, the distance covered is 210= 70 x 3 km.

This can be generalized as,

When the time is n hours, the distance covered is  70 x n km, i.e

The distance traveled in n hours = 70 x n km.

So, for 14 hours, n= 14,

Hence, the distance traveled in 14 hours = 70 x 14= 980 km.


Related Questions

PLEASE HELP DUE IN 5 MINS

Answers

Answer:

it might be 2,-2

Step-by-step explanation:

Find the Value of Y! Thank u!!!

Answers

Answer:

my bad if im wrong but i got y=35

Step-by-step explanation:

Which letter on the number line represents 5 added to -4?

A) A
B) B
C) C
D) D

Answers

Answer: Point C

Start at -4 on the number line. Then move 5 units to the right to get to 1, which is where point C is located.

This shows -4+5 = 1 which is the same as saying 5+(-4) = 1 or 5-4 = 1.

Here's one real world application:

You are on basement level 4, meaning you are 4 floors below the ground floor. If you take the elevator up 5 floors, then you'll end up on the first floor of the building.

V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).

Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46

When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals

Answers

Answer:

The number of visitors increases at the same rate over both intervals

Step-by-step explanation:

The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.

To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.

Hint #22 / 3

We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Let's calculate the average rate of change of VVV over those intervals:

ARC_{[18,20]}ARC

[18,20]

A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC

[20,27]

A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript

\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad

20−18

V(20)−V(18)

 

=

2

18−10

=

2

8

=4

 \begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}

27−20

V(27)−V(20)

 

=

7

46−18

=

7

28

=4

Hint #33 / 3

The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.

Therefore, the number of visitors increases at the same rate over both intervals.

Using the average rate of change, it is found that the correct option is:

(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.

The rate of change of a function is given by the change in the output divided by the change in the input.

When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:

[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]

When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:

[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]

First case has higher rate of change, thus, option A is correct.

A similar problem is given at https://brainly.com/question/20732437


Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,-5)
(-2,5)
(2,5)
(2,-5)

Answers

Answer:

(2,5)

Step-by-step explanation:

it's (2,5) just to let you now

Write the equation of the line that passes through
the given points.
(0, 1) and (2, 2)

Answers

Answer:

y = 1/2x + 1

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Alg I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

y-intercept (0, 1)

Point (2, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-1}{2-0}[/tex]Subtract:                       [tex]m=\frac{1}{2}[/tex]

Step 3: Write equation

y = 1/2x + 1

f(x) = 2x, find the ordered pair when x = 1. O (1,2) 0 (4,1) (2,1) O (1,4)​

Answers

Answer:

The ordered pair is (1, 2) ⇒ A

Step-by-step explanation:

In the function f(x) = y

x is the domain of the functiony is the range of the functionThe domain is all the x-coordinates of the points lie on the graph of the functionThe range is all the y-coordinates of the points lie on the graph of the function

That means any ordered pair (x, y) satisfy the function f(x) = y, lies on the graph of the function

∵ f(x) = 2x

→ That means y = 2x

x = 1

→ Substitute the value of x in the function above

∴ f(1) = 2(1)

f(1) = 2

→ That means at x = 1, y = 2

The ordered pair is (1, 2)

first to answer corretly gets brainleist! I need ya to find the slope for me!

Answers

Answer:

y = x

Step-by-step explanation:

hope this helps!

Answer:

m=1

Step-by-step explanation:

Notice how it is rising 1 unit and running 1 unit to the right; or

m = (y2-y1)/(x2-x1), pick two points (1,1) and (2,2) from the graph

m=(2-1)/(2-1)=1

Please help me out with this thank you so much

Answers

Answer:

1. AAS

2. SAS

Step-by-step explanation:

1. From the graph it can be seen that two pairs of angles are congruent. The side that is not between the two sides is also congruent. Thus we can use AAS (two angles and a side that is not between the two angles) postulate.

2. The graph shows that there are two pairs of congruent sides. We can also prove that angle ACB is congruent to angle DCE because the two angles are vertical. So we can use the SAS postulate.

Hope this helps! :D

How many eight notes is equal to a halfnote ​

Answers

Answer: Four eighth notes

Sixteenth Notes

Step-by-step explanation: Two quarter notes equal one half note in duration and four quarter notes equal one whole note. Two eighth notes equal one quater note in duration. Four eighth notes equal one half note in duration and eight eighth notes equal one whole note.

Answer:

Four eighth notes

Four eighth notes equal one half note in duration and eight eighth notes equal one whole note. Two sixteenth notes equal one eighth note in duration and four sixteenth notes equal one quarter note in duration, etc.

In this problem: 15 divided 3 x 2 do you do 15 divided 3 first or 3 x 2 first?

Answers

Answer: 15 divided by 3

Step-by-step explanation:

order of operations

Answer:

Divide first

Step-by-step explanation:

If it is a multiplication and a division, then u just do whichever comes first, school would call it order of operations

pretty late to this but oh well :)

ASAP When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?

A) -0.8x+4.8y+16

B) 0.8x-4.8y+16

C) -0.8x-4.8y+4

D) 0.8x+4.8y+4

Answers

Answer:

The answer is A.

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y+-2.8x+-5.2y+16

2x-2.8x+10y-5.2y+16

= -0.8x+4.8y+16

The answer to your question is A

5-3x=10

I’m sorry I know it’s easy but I’m not getting the answer, it kinda confuses me

Answers

Answer:

x= -5/3

Step-by-step explanation:

(you dont have to apologize for not knowing something <3)

Move constant to the right-hand side and change its sign

Subtract the numbers

Divide both sides of the equation by -3

Answer: x = - 5 / 3
Hope it helps ! Stay safe : )
Can u mark me brainlies
If u want but here is ur answer

25x+15y=750

please find the x and y intercept !!

Answers

x(30;0)
y(0;50)
substitue 0 for y and solve for x
substitute 0 in for x and solve for y

Answer:

(30, 0) and (0, 50)

Step-by-step explanation:

( 0 , y ) are coordinates of y-intercept.

( x , 0 ) are coordinates of x-intercept.

25x + 15y = 750

25(0) + 15y = 750 ⇒ y = 50

( 0 , 50 ) are coordinates of y-intercept.

25x + 15(0) = 750 ⇒ x = 30

( 30 , 0 ) are coordinates of x-intercept.

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

130 :) $::$:$)3$::&:

Answer:

Step-by-step explanation:

60 + 70 + 5x = 180  

then solve for x

please help if you can :)

Answers

The graph is Parabola or Graph of Quadratic Function.

The graph has minimum value, not maximum. So ( A ) is not correct for maximum part.

B is not correct for exponential part.

also C is not correct for discrete part as Quadratic graph is continuous.

So the answer is D.

URGENT!!!! WILL GIVE A BRAINLIEST!!! Which ordered pair is a solution of the inequality y < 3x + 1?
A. (−3, −2)
B. (1, −3)
C. (3, 14)
D. (1, 6)

Answers

Answer:

B

Step-by-step explanation:

Please answer correctly and positive :)

Answers

The correct answer is C

can someone help answer this??

Answers

Answer:4

Step-by-step explanation:

it shows it on the table

At a fair there are 18 game booths and 27 food booths. The fee for a food booth is $75 plus $5 per day. The fee for a game booth is $50 plus $8 per day. The fair lasts for d days, and all of the booths are rented for the entire time. Write and simplify an expression for the amount in dollars that the company is paid.

Answers

Answer:$$4444

Step-by-step explanation:

HELPPOSKSKSOKS
Which part of the economy does the prime rate most directly influence?
A. The amount of treasury securities bought or sold
ООО
B. The interest on loans banks make to customers
C. The amount of money banks keep in reserve
D. The number of banks in the Federal Reserve System
SUBMIT

Answers

Answer:

B. The interest on loans banks make to customers

Step-by-step explanation:

Correct option is B as per nature of the prime rate

Answer: i think its B

Step-by-step explanation: cuz i

chose A and its wrong...

My friend sent me this to work on, but I’m confused on how to do it :(

Answers

Answer:

35 degrees.

Step-by-step explanation:

It's a reflective sideway triangle.

Answer:

x = 35° :)

Step-by-step explanation:

x is 35° because of the vertical angle

Write an equation in slope-intercept form for the line with slope 7 and y-intercept -7 .

Answers

y=7x-7

The slope intercept form would be y=Mx+b

The m in the equation is the slope
The b in the equation is the y-intercept

You can substitute these values in the intercept form.

y=Mx+b
y=(7)x+(-7)
y=7x-7

PLEASE HELP PLEASE HELP 16 POINTS...PLEASE HELP

Answers

Answer:

slope=3 y-intercept=4

Answer:

D. slope 3 y-intercept 4.

Step-by-step explanation:

The graph crosses the y-coordinate at positive 4. So we know that the y-intercept is 4, which means it cannot be A. slope 1/3. y-intercept -4, or C. slope 3 y-intercept -4.

The slope is 3, you can tell because the line ascends 3 y values for every x value gained.

This means that the answer is D. slope 3 y-intercept 4.

I Hope That This Helps! :)

what is 25.5 divided 1.8

Answers

14.16 is the answer to your problem

Answer:

It equals 14.1666666667, rounded to the hundredth is 14.17

Step-by-step explanation:

Simone paid $12 for an initial year's subscription to a magazine. The renewal rate is $7 per year. This situation can be represented by the equation y = 7x + 12, where x represents the number of years the subscription is renewed and y represents the total cost, in dollars.

Answers

Answer:

Step-by-step explanation:

Step one:

Simone paid $12 initial subscription

The rate renewable = $7 per year

let the number of years be x

and the total amount be y

the linear function/expression for the total amount is represented using the equation of line

i.e y=mx+c

where

     m= gradient = $7

     x= independent variable

     c= constant, $12

this is also given as

y=7x+12

Step two:

let's assume the plan is for 3 years, that is x=3

then

y=7(3)+12

y=21+12

y=33

$33

For any number of years, just put x=the number of years and solve

solve the following quadratic equation for all value of c i'm simplest form
5(x-2)^2=20

Answers

Answer:

x=-2 and x=0

Step-by-step explanation:

5(x-2)^2 =  20; divide by 5 both sides

(x-2)^2 = 4; take the square root of both sides

(x-2) = ±2, now set it equal to positive 2 and negative 2

x-2 = 2

x=4

AND

x-2 = -2

x=0

Answer:

The values of x is 0 and 4.

Step-by-step explanation:

You have to divide 5 by both sides;

[tex]5 {(x - 2)}^{2} = 20[/tex]

[tex] {(x - 2)}^{2} = 4[/tex]

You have to expand the brackets;

[tex] {x}^{2} - 4x +4 = 4[/tex]

[tex] {x}^{2} - 4 x = 0[/tex]

You have to factorize;

[tex]x(x - 4) = 0[/tex]

Lastly, you have to solve it;

[tex]x = 0[/tex]

[tex]x = 4[/tex]

Your friend tells you that if you let him keep 50 of your Pokemon cards for a month, he will give you 1 extra card when he returms your cards. What is the annual rate of interest he is willing to pay for the borrowed cards?

Answers

Answer: 1 extra card

Step-by-step explanation:

Transformation!! Please only help if you have the answer!!

Answers

Answer:

the answer for this one is A

Step-by-step explanation:

mostly because for this you're only looking for H and not the rest of them so if you reflect is itll be in the same spot just on the opposite side

From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?

Answers

Answer:

60.71

Step-by-step explanation:

Given that:

Consumption of poultry per capita is modeled by:

y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990

Per capita poultry consumption in 1992;

1992 ; t = 2

y=-.2125t^2 + 2.615t+56.33

Put t = 2 in the equation

y=-.2125(2)^2 + 2.615(2) +56.33

y = -.2125(4) + 2.615(2) + 56.33

y = - 0.85 + 5.23 + 56.33

y = 60.71

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