William left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 12 blocks every minute. Make a graph showing the number of blocks away from home that William is x minutes after he leaves his house, until he get back home.

Answers

Answer 1

Answer:

17 minutes

Step-by-step explanation:

Answer 2

First distance in blocks and time.

x1= 8 b and t1 = 4 min

Second distance in blocks and time.

x2= 8 b and t2 = 6 min

Third distance in blocks and time.

x3= 24 b and t3 = 12 min

Fourth distance in blocks and time.

x4= 24 b and t4 = 17 min

Final distance in blocks and time.

x5= -24 b and t5 = 19 min

The first trap Willian is 8 blocks from home, we know that the speed is 2 b/min (blocks per minute). Using the definition of speed V1 = x1/t1 we can find t1. t1 will be t1 = 8/2 = 4 min.

He spends 2 minutes, so t2 = 6 min.

Now, the new speed is V2=4 b/min and go to the bank that is 16 blocks away from store, so x2 = 16 + 8 = 24 b. Times will be t = 24/4 = 6 min. But we need to add to t2 to get the total time. t3 = 6 + 6 = 12 min.

He spends 5 minutes here, so t4 = 12 + 5 = 17 min.

Finally, he drove home at -12 b/min, so the time to get home will be:

t = 24/12 = 2 min. Therefore, the total time t5 = 17 + 2 = 19 min.

You can learn more about velocity plots here:

https://brainly.com/question/14360042

https://brainly.com/question/18372944

I hope it helps you!        

                           

         

William Left His House At Time Zero And Drove To The Store, Which Is 8 Blocks Away, At A Speed Of 2 Blocks

Related Questions

-2.5x - 10 = 40 what is the missing variable

Answers

Answer:

x = -20

Step-by-step explanation:

1) Isolate x

-2.5x - 10 = 40

+ 10 + 10

-2.5x = 50

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

-2.5 -2.5

x = -20

Answer:

x=-20

Step-by-step explanation:

-2.5x -10=40

-2.5x -10+10=40+10

-2.5x=50

-2.5x/-2.5=50/-2.5

x=-20

Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded between the two circles.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

A number line goes from negative 10 to positive 10. An open circle appears at negative 4. The number line is shaded from negative 4 toward negative 10.

A number line goes from negative 10 to positive 10. An open circle appears at positive 5. The number line is shaded from positive 5 toward positive 10.

Answers

Answer:

After solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]

Option B is correct.

Step-by-step explanation:

We are given compound inequality: [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex]

We will first solve the inequalities to find the value of x, then will draw the graph.

[tex]1.5x-1>6.5 \ or \ 7x+3<-25\\1.5x-1+1>6.5+1 \ or \ 7x+3-3<-25-3\\1.5x>7.5 \ or \ 7x<-28\\x>\frac{7.5}{1.5} \ or \ x<\frac{-28}{7}\\x>5 \ or \ x< -4[/tex]

So, after solving the compound inequality [tex]1.5x-1>6.5 \ or \ 7x+3<-25[/tex] we get [tex]\mathbf{x>5 \ or \ x<-4}[/tex]

Now, the number line will be as shown in figure.

The description as given in options is:

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

so, Option B is correct.

Answer:

the answer is b

Step-by-step explanation:

2020 edge

Kyra is participating in a fundraiser walk a-thon . She walks 2 miles in 30 minutes . If she continues to walk the same rate , determine how many minutes it will take her to walk 7 miles

Answers

Answer:

2 miles in 30 minutes

1 miles in 15 minutes

7 miles in 105 minutes

Thank you and please rate me as brainliest as it will help me to level up

Answer:

Step-by-step explanation:

$&+!8

Choose the correct answer to 992/16.

Answers

Answer:

62

Step-by-step explanation:

How many times can 16 go into 992.

16*10 = 160

16*50 = 800

Now you have 960

16*2 = 32

Now you have 996

Hope this helps ya!!

7h + 3 = 7(2+h) -11
this is my question

Answers

Answer:

Step-by-step explanation:

7h+3=7(2+h)-11

7h+3=14+7h-11

7h+3=7h+3

The answer is 0 or no solution since they cancel each other out.

I need help fast... if answered Correctly I will mark brainliest

Choose the ordered pair which is the solution to: -2x + 7y = 17 and 3x - 4y = -19.

O (0,17/7)
O (-1,-2)
O (-5,1)
O (-1,3)​

Answers

9514 1404 393

Answer:

  (-5,1)

Step-by-step explanation:

To eliminate x, multiply the first equation by 3 and add 2 times the second equation.

  3(-2x +7y) +2(3x -4y) = 3(17) +2(-19)

  -6x +21y +6x -8y = 51 -38

  13y = 13

  y = 1 . . . . . matches the third answer choice

  (x, y) = (-5, 1)

1 half + 10 = 1 fourth + 54.

x=_______?

Answers

Answer: First of all thats wrong. 1/2 + 10 = 10 1/2 and 1/4 + 54 = 54 1/4

Step-by-step explanation:

Mabel scored 19 points more on her math test than Nancy. Phoebe scored 10 points less on her math test than Nancy. If Phoebe scored 23 points, how many points did mabel score.

Answers

23+10+19=52 so your answer is 52

The point that is scored by Mabel will be 52 points.

Based on the information given, since Phoebe scored 10 points less on her math test than Nancy and scored 23 points, then Nancy will have:

= 10 + 23 = 33 points

Since Mabel scored 19 points more on her math test than Nancy, then, the point that is scored by Mabel will be:

= 33 + 19

= 52 points

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https://brainly.com/question/18730874

what is Negative 5 and StartFraction 5 over 8 EndFraction + 3 and one-half

Negative 3 and StartFraction 1 over 8 EndFraction

Negative 2 and one-half

Negative 2 and StartFraction 1 over 8 EndFraction

Negative StartFraction 7 over 8 EndFraction

Answers

Answer:

its c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i got it right

Find the value of z. Then find the value of the interior angles ​

Answers

Step-by-step explanation:

[tex] \because \angle JKM [/tex] is the exterior angle of [tex] \triangle KLM [/tex]

[tex] \therefore [/tex] by remote interior angle theorem of a triangle, we have:

[tex] m\angle L + m\angle M = m\angle JKL \\\\

(18z + 3)\degree + (5z - 3)\degree = 161\degree \\\\

(18z + 3+5z - 3)\degree = 161\degree \\\\

(23z)\degree = 161\degree \\\\

23z = 161\\\\

z = \frac{161}{23} \\\\

\huge \red {\boxed {z = 7}} \\\\

\because \measuredangle L = (18z +3)\degree \\\\

\therefore \measuredangle L = (18\times 7+3)\degree \\\\

\therefore \measuredangle L = (126+3)\degree \\\\

\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \\\\

\because \measuredangle M = (5z - 3)\degree \\\\

\therefore \measuredangle M= (5\times 7-3)\degree \\\\

\therefore \measuredangle M = (35-3)\degree \\\\

\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \\\\[/tex]

what’s 5 x 1/8? please explain how to do this problem too :)

Answers

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{1}[/tex] × [tex]\frac{1}{8} = \frac{5}{8}[/tex]  

I hope this helps!

Answer:

5/8 or 0.625

Step-by-step explanation:

multiply the numerator so that equals 5

multiply the denominator so that equals 8

the fraction answer is 5/8

the decimal answer is 0.625; this is because when you divide 5 and 8, you get 0.625

if you need more explanation, 5/1 times 1/8

just multiply across the top and bottom to get your answer

Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse

Answers

Answer:

B. No, Hannah should have used the ratio [tex] \frac{adjacent}{opposite} [/tex]

Step-by-step explanation:

✍️The formula for calculating cotangent of an angle is given as:

[tex] cot = \frac{adjacent}{opposite} [/tex].

The ratio, [tex] \frac{opposite}{adjacent} [/tex], used by Hannah is the formula for calculating tangent of an angle.

Therefore, Hannah did not calculate the cotangent of the angle correctly.

She should have used, the ratio, [tex] \frac{adjacent}{opposite} [/tex] instead.

There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded. Dionte buys two tickets, find the probability that he will win both pris(Round your answers to five decimal places.)

Answers

Given :

There are 36 tickets sold for a raffle for the Student Art Auction, and there are two prizes to be awarded.

Dionte buys two tickets.

To Find :

The probability that he will win both price.

Solution :

Number of prizes available, p = 2

Probability of getting price from first draw :

[tex]P_1=\dfrac{2}{36}\\\\P_1=\dfrac{1}{18}[/tex]

Probability of getting price from second draw if he won first prize :

[tex]P_2=\dfrac{2-1}{36-1}\\\\P_2=\dfrac{1}{35}[/tex]

So, probability of winning both prize :

[tex]P=P_1\times P_2\\\\P=\dfrac{2}{36}\times \dfrac{1}{35}\\\\P=0.00159[/tex]

Therefore, probability of winning both prize is 0.00159 .

Hence, this is the required solution.

how do I solve an equation with different variables on both sides? here is an example.
solve for x
9x – 2c = k

Answers

Answer:

Step-by-step explanation:

9x - 2c = k

    9x = k + 2c

     x  = (k + 2c)/9

please answer quickly!!

Answers

Answer:

A: 49 cents B: 46 cents

Step-by-step explanation:

The sum of three times a number and 2.

Answers

Answer:

3x+2

Step-by-step explanation:

3 times (multiply by 3)

"the number" is unknown so that would be x

and 2 is basically adding 2 to the equation so

3x+2

5/7 = a/35 what is the answer ?

Answers

The answer is A=25
.........
.............

Answer:

hello! I am pretty sure the missing number is 25!

Step-by-step explanation:

Here is why I think so, I believe that because it seems to me that you are multiplying 7 by 5 so I think that you should multiply 5 by 5 and if you do that it is 25. Hope this helps!

what does rise over run mean in math?

Answers

Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.

Step-by-step explanation:

Using the segment addition postulate, which is true?

Answers

Answer:

BC + CD = BD

Step-by-step explanation:

that is the right answer

Answer:

D or BC+CD+BD

Step-by-step explanation:

My dog, Petey weighs 75 pounds. Last summer he weighed 65 pounds. What percent of his weight did he gain?

Answers

Answer:

he gain 10%

Step-by-step explanation:

Answer:

He gained 10 lbs which is 13.3 % of 75

If the weight of a package is multiplied by 3/4 the result is 54 pounds find the weight of the package?

Answers

Answer:

72

Step-by-step explanation:

In order to find the solution to this problem, you would first need to divide 54 by 3, than multiply by 4. You could also multiply 54 by the reciprocal of 3/4, which is 4/3.

Solve the equation.
1. For parentheses:
7h-5(3h-8) = -72
Distribute
2. If necessary:
Combine Terms
3. Apply properties:
Add Subtract
Multiply
Divide
4.To start over:
Reset

Answers

Answer:

h= 14

Step-by-step explanation:

7h-5(3h-8)= -72  PEDMAS Parenthesis first

7h-15h+40= -72 combine like terms

-8h+40= -72  subtract 40 from both sides

-8h=-112  divide by -8

h=14

The required simplified solution of the given expression is h = 4.

Given that,
A number of instruction has been added in the question, guiding the solution of the given expression.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
7h-5(3h-8) = -72

Simplify,
7h -5×3h - 5× -8 = -72
7h -15h + 40 = -72
8h = -72 + 40
-8h = -32
h = 4

Thus, the required simplified solution of the given expression is h = 4.

Learn more about simplification here: https://brainly.com/question/12501526

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25 POINTS!!!
Need Help! Find x, y, and z!
x³+y³+z³=k

Answers

Answer: N/A

Step-by-step explanation: you would need K in order to find the value of X,Y,Z

Answer:

If k = 99

then

x = 8

y = 27

z = 64

Step-by-step explanation:

You have to use a different number for each letter so you can but in any combination the answer just has to make sense as in you added up x, y, and z to get k.

Solve the following equation
5x + 2 = 4x - 1

Answers

Answer:

x=-3

Step-by-step explanation:

Solve for x:

5x+2=4x−1

Move all terms containing x to the left side of the equation.

x+2=−1

Move all terms not containing x to the right side of the equation.

x=−3

Seven less than one-fourth of a numer is -1.

Answers

Answer:

The number is 24.

Step-by-step explanation:

-1+7=6

6*4=24

I believe the answer is 96

x/4 - 7 = 17

x/4 = 24

x = 96______is the number

If a figure is dilated by a scale factor of 6, the perimeter of the figure will change by factor of
A.3
B.6
C.36
D.12

Answers

I think the correct answer is c

Answer:

6

Step-by-step explanation:

-8m - 12 > -5(m - 8) – 3(m - 7)
Write the solution to the inequality

Answers

Answer:

No answer.

Step-by-step explanation:

- 8m - 12 > -5m + 40 - 3m + 21

combine terms

-8m - 12 > -8m +61

add 8m to both sides

-12 > 61

negative 12 is not greater than 61

a cargo ship traveled 150 nautical miles in 6 hours at a constant speed.
How far did the cargo ship travel in 1 hour??

Answers

Answer:

25 miles per hour

Step-by-step explanation:

divide 150 by 6 to find the unit rate, which is 25 miles per hour.

Fedex typically deleviers 2,400 packages per day and uses 75 trucks for delivery. If the number of trucks used per day is proportional to the number of packages delivered, how many packages would be delivered if there are 100 trucks avilable?
A 3.200 packages
B 1.800 packages​

Answers

Answer:

A

Step-by-step explanation:

What is the x-intercept of the graph that is shown below?
4
8 2
5 4 -3 -2 -14
1 2 3
X
2
3
4
45
O (-3, 4)
(0, 2)
O (2,0)
(3,0)

Answers

x intercepts are 2 and 3 because y=0 at both of those coordinates

(0, 2) is the y intercept of the given graph, option B is correct.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line is passing through the points (3, 0) and (0,2)

We have to find the slope

m=2/-3

=-2/3

Now let us find y intercept

0= -2/3(3) +b

b=2

Hence, (0, 2) is the y intercept of the given graph, option B is correct.

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