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:
17 minutes
Step-by-step explanation:
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:
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Related Questions
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
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.
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 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:
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:
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
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
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
Answer:
6
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
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.
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.
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.
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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]
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:
5/7 = a/35 what is the answer ?
Answers
.........
.............
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!
-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
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
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.
please answer quickly!!
Answers
Answer:
A: 49 cents B: 46 cents
Step-by-step explanation:
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
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
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.
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
(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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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.
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.
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
-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
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
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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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)
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
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!!