Landon left his house at time zero and drove to the store, which is 6 blocks away, at a speed of 3 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of 2 blocks per minute until he got to the bank, which is 4 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 5 blocks every minute. Make a graph of showing the number of blocks away from home that Landon is xx minutes after he leaves his house, until he gets back home.

Answers

Answer 1

Answer:

Step-by-step explanation:

The route Landon took starting at time t = 0 is

Home ⇒ Store ⇒ Bank ⇒ Home

Let's compute cumulative distances(in terms of blocks) and cumulative time using  Landon's speed and stay at various places in order to plot a graph. (Note: cumulative means total  so far; we add current value to previous total)

The graph will have cumulative time t (in minutes) on the X-axis and cumulative distance d (in terms of blocks) on the Y-axis. We will indicate Landon's position at any time with the coordinates (t, d)

At time t=0 Landon is at home so d = 0
Landon's position at time t=0 is  (0, 0) Home ⇒ Store
Total distance traveled = 6 blocks at a speed of 3 blocks per minute
Time taken to reach store = 6/3 = 2 minutes.
Cumulative time t = 0 + 2  = 2 minutes
Cumulative distance = 0 + 6 = 6 blocks
Landon's position is (2, 6)
Landon stayed at the store for 7 minutes. So between t=2 and t=2+7 distance remains unchanged
Cumulative time = 2 + 7 = 9 minutes
Cumulative distance = 6 + 0 = 6 blocks
Landon's position at t = 9 is (9, 6)
Store ⇒ Bank
Speed was 2 blocks per minute and covered 4 blocks
So time taken = 2 minutes
Cumulative time t = 9 + 2 = 11 minutes
Cumulative distance d = 6 + 4 = 10 blocks.
So Landon's position is (11 , 10)  
Bank Stop : 5 minutes
Cumulative Time t = 11 + 5  16 minutes
Cumulative distance d = 10 + 0 = 10 blocks (distance unchanged)
Landon's position: (16, 10)
Bank ⇒ Home
Total distance covered = 10 blocks at a speed of 5 blocks per minute
Time taken = 10/5 = 2 minutes
Cumulative time t = 16 + 2 = 18 minutes
Distance from home is 0
Landon's position is (18, 0)

Plot these boldfaced values on a graph and connect them with line segments to get the graph
Landon Left His House At Time Zero And Drove To The Store, Which Is 6 Blocks Away, At A Speed Of 3 Blocks

Related Questions

help plzz i'll give brainliest istg but don't use for points cuz its annoying

Answers

Answer:

124

Step-by-step explanation:

Answer:

the correct answer is a. 124°

Step-by-step explanation:

:::::::::


Twice a number added to another number is 15. The sum of the two numbers is 11. Find the numbers. Write the numbers from least to greatest

Answers

Answer:

4 and 7

Step-by-step explanation:

There are probably several ways to do this but this is how I did it:

First, I listed all the number combinations, that added together equaled 11.

This is what it looked like:

1, 10

2, 9

3, 8

4, 7

5, 6

6, 5

7, 4

I stopped here since the next step would be to double the first number and 8*2 would already be more than 15.

Then, I doubled the first number and added the second number to it, when I saw that didn't equal 15, I eliminated that possibility and moved on to the next set of numbers. When I reached 4, 7 I saw that 4*2 equaled 8 and 8 plus 7 equals 15 so I had the answer.

There are probably much more efficient ways to do this but this is how I did it.

Hope it helped!

The first number is 4 and second number is 7.

Let us consider that first number is x and second number is y.

            [tex]2x+y=15\\\\x+y=11[/tex]

Substitute [tex]y=11 - x[/tex]in equation [tex]2x+y=15[/tex]

        [tex]2x+11-x=15\\\\x=15-11=4[/tex]

So,   [tex]y=11-x=11-4=7[/tex]

Learn more:

https://brainly.com/question/2159099

Simplify the Polynomial and please show your work so I can do more on my own.
(btw ! will stand for rise to the power)
5xyx!3 + 7yxx!3 - 5x!2x!3 - 5x!2zx. + 3zx!3

Answers

Answer:

no

Step-by-step explanation:

“I am a good student” is an example of a positive self-talk statement.
true or false
It doesn’t matter how much sleep you get before the night of a big test.
true or false

Answers

Answer:

true

Step-by-step explanation:

Answer:The first one is true and the second one is false

Step-by-step explanation:

20 POINTS!!

two lines are cut by a transversal such that a pair of alternate interior angles are right angles. are the two lines parallel? explain

​PLEASE ANSWER ​

Answers

When two parallel lines are cut by a transversal, the alternate interior angles are always equal. This is a property that is only true for parallel lines.

When non-parallel lines are cut by another line, the alternate interior angles are not equal.

Step-by-step explanation:

You are given a pair of alternate interior angles which are both right angles and are formed by a transversal line cutting two lines. That means the pair of angles are congruent.

Use the Alternate Interior Angles Theorem and by that those two lines must be parallel.

Wich is the best approximation of the square root of 51

Answers

Answer:

the square root of 51 is 7.14142842854 so the most logical answer would be D

Hope this helps!

Right answer please

Calculate (3.012 x 10−8) + (4 x 10−8).

3.016 x 10−16
7.012 x 10−16
7.012 x 10−8
7.012 x 20−8

Answers

Answer: 7.012 x 10−8 ==> Option 3

Step-by-step explanation:

(3.012 x 10−8) + (4 x 10−8)=

(3.012+4) x 10−8=

(3.012+4.000) x 10−8=7.012 x 10−8 ==> Option 3

Calculating the expression (3.012 x 10−8) + (4 x 10−8) is 7.012 x 10^(-8).

How to calculate (3.012 x 10−8) + (4 x 10−8).

To calculate (3.012 x 10^(-8)) + (4 x 10^(-8)), we can add the numbers as follows:

(3.012 x 10^(-8)) + (4 x 10^(-8)) = (3.012 + 4) x 10^(-8) = 7.012 x 10^(-8)

So, the correct answer is 7.012 x 10^(-8).

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#SPJ3

C. Aunt Beth bought 1 3/8 yards of blue ribbon
and 1/2 yards of green ribbon. How much
more blue ribbon was bought?

Answers

7/8 yards more blue ribbon was bought

How much more blue ribbon was bought?

The given parameters are

Blue ribbon = 1 3/8 yards

Green ribbon = 1/2 yards

The amount of excess ribbon that is blue is

Excess = Blue ribbon - Green ribbon

So, we have

Excess = 1 3/8 yards - 1/2 yards

Evaluate the difference

Excess = 7/8 yards

Hence, 7/8 yards more blue ribbon was bought

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15 in
The perimeter of this regular hexagon is
A)
15 inches.
B)
21 inches.
72 inches
D)
90 inches.

Answers

Answer:

a 100000000000000000000% i hope

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

15 times the six sides of the hexagon

What is the unknown number that makes the equation true?
44 x 32 =
+ 120 + 80 + 8 (3 points)
1,200
1.100
800
700

Marked !

Answers

Answer: 1,200
Explanation: 44 x 32= 1,408
120+80+8=208
1,408-208=1,200.

Please help!! I need help.

Answers

Answer:

14, 3, 5, 6.25, 10

Step-by-step explanation:

The scale is 1 inch = 0.5 ft.

Either divide the inches by 2 or multiply the feet by 2

Answer:

couch)14

chair)3

lamp)5

bed)6.25

table)10

Step-by-step explanation:

so, the whole question basically asks you to convert the units back and forth, (its very similar to the conversion of currency) & There are many ways to do this, ill show one of the methods, if u don't understand then i can show u another way....

ill do the first two-

COUCH-

1 inch: 0.5 ft

x inch:7ft  { x is the missing value ((model length of couch)) }

Now cross multiply

0.5x=7*1

x=7/0.5

x=14 inches

CHAIR-

1 inch: 0.5 ft

6 inch: x

Do the same step -Cross multiply

1x=0.5*6

x=3/1

x=3

What is 800 rounded to the nearest ten

Answers

Answer:

800

Step-by-step explanation:

800...................................

GUYS PLEASE I REALLY NEED HELP IM NOT ABLE TO SPEND TIME WITH MY FAMILY WHILE THEIR HERE PLEASE:(:(:(

Answers

I’m sorry for you bro hope things get better

The regular price of an electric scooter is $290. It is on
sale for 20% off. Sales tax is 7%. What is the cost of the
electric scooter after the discount and sales tax are
applied?
$232.00
$294.06
$310.30
$248.24

Answers

Answer:

The cost of the  electric scooter after the discount and

sales tax will be: $248.24

Step-by-step explanation:

The regular price of an electric scooter = $290

Discount = 20%

The discount price =  20% × 290

                                = 20/100 × 290

                                = $58

The price after the discount = $290 - $58 = $232

Sales tax = 7%

Sales tax amount = 7% × 232

                         = 7/100 × 232

                         = $16.24

The cost after the discount and sales tax = $232 + $16.24

                                                                      = $248.24

Thus, the cost of the  electric scooter after the discount and

sales tax will be: $248.24

There are 56 students in a school play. The ratio of boys to girls is 3:5. How many girls are in the school play?

Answers

Answer:

35 girls

Step-by-step explanation:

First add the ratios together ( 3+5) this will give you 8. Then divide the total number of students by 8, this will get you 7. Now multiply 7 to 3 and multiply 7 to 5. As the ratio of boy to girl is 3 to 5, to find how many girls are in the school play we multiply 7 to 5. This makes 35 girls.

If you want to check, 7 x 3 =21 boys and 7 x 5=35 girls. 35 +21= 56 (the total number of students).

what is 9 1/2 + 12 find the value

Answers

Answer:

21 1/2

Step-by-step explanation:

what is the slope and y-intercept

Answers

Answer:

slope = 2

y int = -4

Step-by-step explanation:

4x - 2y > 8

8 <  4x - 2y

/-2

-4 < -2x + y

2x - 4 < y

slope = 2

y int = -4

(I'm not sure if it is right sorry! hope this helps!)

Owen is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie. Owen's songs were played on 4 more commercials than movies, and his total earnings on the royalties from all commercials and movies was $770. Determine the number of commercials and the number of movies on which Owen's songs were played.

Answers

Answer:

His songs were played 4 times in a commercial, and 3 times in a movie.

Step-by-step explanation:

Let x represent the number of times his songs were played in a commercial, and y represent the number of times his songs were played in a movie.

Since we know Owen's songs were played on 4 more commercials than in movies, we can write the expression

x = y + 4

Owen gets $50 every time one of his songs is played in a commercial and $140 every time one of his songs is played in a movie, so we can add these numbers into the equation below.

140y + 50x = $770

We can use the equation two lines above and substitute it into this equation so it now becomes:

140y + 50(y +4) = 770

Now we operate the equation so it becomes:

140y + 50y + 200 = 770

Now we reduce and add like terms.

190y = 770 - 200 = 570

190y = 570

570 / 190 = 3 (3 movies)

x = y + 4 = 7

y = 3

x = 3 + 4 = 7

So therefore Owen's songs were played 4 times in a commercial (x), and 3 times in a movie. (y)

Hope this helps.

Daniel can paint a house in 10 days, while his father can paint the same house in 6 days. If they work together, how long will they finish the job? I need asap answer plssss

Answers

Answer:

3[tex]\frac{3}{4}[/tex] days

Step-by-step explanation:

Let the amount of work be x.

Daniel:

10 days = x

1 day = [tex]\frac{1}{10}[/tex]x

Father:

6 days = x

1 day = [tex]\frac{1}{6}[/tex]x

Together:

1 day = [tex]\frac{1}{10}[/tex]x + [tex]\frac{1}{6}[/tex]x

        = [tex]\frac{6}{60}[/tex]x + [tex]\frac{10}{60}[/tex]x

        = [tex]\frac{16}{60}[/tex]x

        = [tex]\frac{4}{15}[/tex]x

No. of days = [tex]\frac{15}{15}[/tex]x ÷ [tex]\frac{4}{15}[/tex]x

                   = [tex]\frac{15}{15}[/tex]x × [tex]\frac{15}{4}[/tex]x

                   = [tex]\frac{225}{60}[/tex]

                   = 3[tex]\frac{3}{4}[/tex]

please help me asap!!!!

Answers

Answer:

i think it means to just plot j at -6 on the x axis and 1 up on y axis

Answer:

Step-by-step explanation:

J has coordinates ( 6, 1) when reflected over the x-axis

(x, y) reflected over x-axis becomes ( x, -y)

J' has the coordinates ( 6, -1)

Divide: 464 : 46
Help me

Answers

Answer:

10.0

Step-by-step explanation: 464:46

Area of a circle of the diameter is 9.5

Answers

Answer:

A = 70.88 units squared assuming that you're using the value pi

Step-by-step explanation:

Answer:

70.91 ansStep-by-step explanation:=22/7×(4.75)^2=22/7× 22.5

=496.37 /7=70.91 answer

please follow me and thanks for my answer

At what value of x do the graphs of the equations below intersect?
-2x +y = -6
1x + 2y = -2
They intersect at an x value of

Answers

Answer:

They intersect at an x value of 2

Step-by-step explanation:

Rewrite the equations into slope y-int form:

-2x + y = -6

y = 2x - 6

x + 2y = -2

2y = -2 - x

y = -1/2x - 1

Next, set the two equations as equal and solve for x:

2x - 6 = -1/2x - 1

2x + 1/2x = -1 + 6

4x + x = -2 + 12

5x = 10

x = 2

Neeeeeeeeeeeeeeeeed heeeeeeeeeeeeeeeeelp!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to 8 - (6r + 2)
-6r + 6
2r + 2
6r + 10
-6r + 10

Answers

Answer: -6r + 6

Hope this helps :)

Answer:

-6r + 6

Step-by-step explanation:

9+(-4)+(9)+4+8 with additive inverse​

Answers

Answer:

26

Step-by-step explanation:

This becomes 9-4+9+4+8=26

determine the intercepts of the line2x+5y=-6

Answers

Answer:

y=−2/5x−6/5

Step-by-step explanation:

Jake is traveling 13 mph in his boat. After 4 hours, how far will he have traveled?

Answers

65 miles is what he traveled

Answer:

Step-by-step explanation: First create an equation. So it'll be...

M(h)=13h    (M= Miles & H = Hours)

Plug in the 4 where the h is at so...

M(4) = 13(4)

So then multiply 13 by 4 and you get 52.

So the answer is..

At 4 hours Jake would have traveled 52 miles.

or the equation is

M(4) = 52

Please answer the two question in the photo [ Brainliest + points ]

Answers

Answer:

3. obtuse

4.acute

Step-by-step explanation:

PLEASE HELP!! ILL HIVE BRAINLIEST IF ITS RIGHT!

Answers

Answer:

This would be Helium(He)

Step-by-step explanation:

Its Helium because the bohr model in the picture has 2 electrons.

On the periodic table, it says that Helium has 2 protons which are also equal to electrons

Answer:

The answer is (He) also known as Helium!

What is the solution of StartRoot x + 2 EndRoot minus 15 = negative 3?

I couldnt find a solution for this on here so Ill post it :)
Its A: x=142

Answers

Answer:

142!!!!

Step-by-step explanation:

Just got 100 on edge! Love you, you are doing amazing keep going!

Answer:

A

Step-by-step explanation:

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