-Maggie turned right out of the school and drove 5 miles East to the store. She left the store and drove 2 miles North to Pelican's, then drove 5 miles South to her friend's house. When it was time to pick up her brother, she drove 7 miles West, then drove 4 miles North. Maggie and her brother then drove 2 miles East to get home. What is the displacement from Maggie's home to school?
Answer:
The school is at displacement of 1 mile towards South from the home.
Step-by-step explanation:
Let the origin, O, represents the location of the school.
Now, observe the attached figure for all the displacements as:
She drove 5 miles East to shore ( to point A)
So, OA=5 miles.
Then she drove 2 miles North to Pelican's ( to point B)
So, AB=2 miles.
Then she drove 5 miles South to her friend's house ( to point C)
So, BC=5 miles.
Then she drove 7 miles West, to point D,
So, CD=7 miles.
Then she drove 4 miles North, to point E,
So, DE=4 miles.
Lastly, she drove 2 miles East, to reach home (the point F)
So, EF=2 miles.
Now computing the displacements in each direction.
The displacements in the East direction=OA+EF= 5+2= 7 miles
The displacements in the West direction =CD= 7 miles
As East and West are opposite to east other, so net displacements in the East direction = 7+(-7)=0, i.e the final point F ( home) is on the vertical axis as shown.
The displacements in the North direction=AB+DE= 2+4= 6 miles
The displacements in the South direction=BC=5 miles
As North and South are opposite to east other, so net displacements in the North direction = 6+(-5)= 1 miles which means final point F ( home) is located at 1 mile towards North from the school.
Hence, the school is at displacement of 1 mile towards South from the home.
What is the equation in point slope form for a linear function with a slope of m=−4 that passes through the point (2,−7)?
Answer: y+7=-4(x-2)
Step-by-step explanation:
point slope formula is y-y1=m(x-x1)
it gives you m = -4
(x1,y1) = (-1,-7)
y-(-7) = -4(x-2)
negative of a negative number is positive
y+7=-4(x-2)
you leave that as your answer because thats what point slope for is
its in that form ^
The equation in point slope form for a linear function is [tex]y=4x+15[/tex]
Given the following points:
Points on the x-axis = 2 Points on the y-axis = -7 Slope, m = -4
To write an equation in point slope form for a linear function:
The standard form of an equation of line is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
Where:
x and y are the points. m is the slope.Substituting the given parameters into the formula, we have;
[tex]y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15[/tex]
Read more: https://brainly.com/question/18123312
The International Space Station has 328 experiments in 15 different labs. What is the unit rate that
represents the amount of experiments in each lab? Round your answer to the nearest tenth.
a) 328 experiments per 15 labs
b) 21.8 experiments per lab
c) 49.2 experiments per lab
d) 21.9 experiments per lab
A car travels 42 miles each hour for 4 hours. Calculate the distance that the car traveled.
Answer:
168 miles total
Step-by-step explanation:
42 miles x 4 hours = 168
Answer:
168 miles in 4 hours
Step-by-step explanation:
42x4=168, meaning that in 4 hours, the car travels at a constant speed of 42mph and travels a total of 168 miles in 4 hours
Find each quotient
-7/12 divided by 1/7
Answer:
-4 1/12
i just put it in a calculator
The square root of 60 to the nearest tenths place
Answer:
7.7
Step-by-step explanation:
[tex]\sqrt{60} = 7.74[/tex] 7.74 to the nearest tenths place: 7.7I hope this helps!
HEY CAN ANYONE PLS ANSWER DIS!!!!!!!!
Answer: 1,045,440,000
Explanation:
1 mile = 5280 feet
55 x 5280 = 290400
290400 x 60 = 17424000
17424000 x 60 = 1045440000
3 words. Get. A. Caluculator.
Lol I hope this helps!
Answer:
80.67 ft/secStep-by-step explanation:
Mile to feet
1 mi = 5280 feetHour to seconds
1 hr = 60 min = 60*60 sec =3600 secSpeed of the car
55 mi/hr = 55*5280 ft / 3600 sec = 80.67 ft/sec rounded to two decimal placesCan someone please help me real quick?
Answer:
3.5p ≤ 40
Step-by-step explanation:
The inequality that best describes this problem is 3.5p ≤ 40;
Given parameters:
Total amount with me = $40
Cost per package of hot dog = $3.5
Unknown;
The inequality that represents the problem = ?
Solution:
p is the number of hotdogs that can be bought.
So, total hotdog that can be bought if each hotdog cost $3.5 per box is;
p x 3.5
Now,
this will equal the total amount at hand;
p x 3.5 ≤ 40
3.5p ≤ 40
What is the solution to log9(6x + 27) ≤ 2?
(–4.5, ∞)
(–4.5, 9]
[–4.5, 9]
(–∞, 9]
Answer:B (-4.5,9]
That’s the answer I think, honestly we all just trying to pass
A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?
evaluate 15x+9 when x=−1
Answer:
-6
Step-by-step explanation:
just substitute -1 for x
15(-1)+9 = -15+9 = -6
If 2 bags of rice cost 3 dollars then
How much do 20 bags of rice cost?
Answer:
30
Step-by-step explanation:
2 x 10 = 20
3 x 10 = 30
Answer:
120
Step-by-step explanation:
20 x 3= 60
60 x 2= 120
hope this helped
Solve proportion solve for y 4/12=y/9
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
y4
12
=
y
9
1
12
y4=
1
9
y
Step 1: Subtract 1/9y from both sides.
1
12
y4−
1
9
y=
1
9
y−
1
9
y
1
12
y4+
−1
9
y=0
Step 2: Factor left side of equation.
y(0.083333y3−0.111111)=0
Step 3: Set factors equal to 0.
y=0 or 0.083333y3−0.111111=0
y=0 or y=1.100642
Answer:
y=0 or y=1.100642
Answer:
y = 3
Step-by-step explanation:
4/12 = y/9
=> 4(9) = 12y
=> 36 = 12y
=> 12y = 36
=> y = 36/12
=> y = 3
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
•What is the y-intercept
Answer:
y=50
Step-by-step explanation:
25(0)+15y=750
0+15y=750
15y=750
y=50
Q2A: What is the value of n?*
Answer:
the value of n is 26
Step-by-step explanation:
Which list contains only composite numbers? 12, 37, 54, 80, 117,
31, 44, 57, 64, 92,
26, 53, 66, 84, 96,
6, 24, 51, 72, 105,
Answer:
6, 24, 51, 72, 105
Step-by-step explanation:
6,24,51,72,105
It was right on my work hoops this helps :)
-4(3+7m) please help i will give brainlest and do not answer just to get points this is DUE IN FIVE MINUTES
Answer:
-28m-12
Step-by-step explanation:hope that helps :)
=(−4)(3+7m)
=(−4)(3)+(−4)(7m)
=−12−28m
=−28m−12
Answer:
-4(3+7m) = -28m - 12
Step-by-step explanation:
-4 (3 + 7m)
= -4 (3) + -4(7)
= -12 + (-28)
= -12 -28m
Bob can wash 58 cars in 4 days. Explain how you find the unit rate and give the meaning of the unit rate
Answer:
He can wash 14 cars in one day. 14:1
Step-by-step explanation:
You divide 58 by 4
Answer:
14.5 cars
Step-by-step explanation:
58 Cars
÷ 4
4 Days
÷ 4
=
14.5 Cars
1 Day
=
14.5 Cars
Day
= 14.5 Cars per Day
Larissa is baking two pies that are the same size: an apple pie for her brothers and a pumpkin
pie for her sisters. Larissa cuts the apple pie into eights and serves the five slices for her
brothers. Then, she cuts the pumpkin pie into sixths and serves three pieces to her sisters. Her
brothers and sisters eat all of the pie they are served, and nothing more.
At the end of the night, Larissa plans to put all of the leftover slices of pie together in the same
pie pan if there is enough space.
Which of the following statements is NOT true?
a) There will be enough space to fit the leftover slices of pie together in one of the pie pans
b) There will be more empty space in the pumpkin pie pan than in the apple pie pan after the
slices are served
c) After Larissa served the apple pie, there is exactly 0.375 of the apple pie remaining
d) After putting the pies together in one pan, 1/8 of the pie pan would still be empty
Answer:
All the statements are correct.
Step-by-step explanation:
Larissa is baking two pies that are the same size:
an apple pie for her brothers and a pumpkin pie for her sisters.
Larissa cuts the apple pie into eights and serves the five slices for her brothers.
This means she divided the apple pie into 1/8, so 5 for a brothers = 5(1/8) = 5/8
The amount of apple pie left is = 1 - 5/8
= 3/8
Then, she cuts the pumpkin pie into sixths and serves three pieces to her sisters.
She divided the pumpkin pie into 1/6
Serving her 3 sisters = 3(1/6)
= 3/6
The amount left = 1 - 3/6 = 3/6 = 1/2
This means, her sisters are 1/2 of the pie and 1/2 is left
Her brothers and sisters eat all of the pie they are served, and nothing more.
Verifying the given options
a) There will be enough space to fit the leftover slices of pie together in one of the pie pans
Yes, this is correct it we put the left over slices of pie in the pumpkin pie pan.
Option a is correct.
b) There will be more empty space in the pumpkin pie pan than in the apple pie pan after the slices are served.
Option b) is true
This is because, the amount of space left in the pumpkin pie pan = 1/2
The amount of space left in the apple pie pan = 3/8
1/2 is greater than > 3/8
c) After Larissa served the apple pie, there is exactly 0.375 of the apple pie remaining.
Larissa served, 5/8 of the apple pie,
3/8 is left , 3/8 = 0.375.
Option c is correct.
d) After putting the pies together in one pan, 1/8 of the pie pan would still be empty
Yes, if the left over pies are put in the pumpkin pie pan.
This is because, the amount of space left in the pumpkin pie pan = 1/2
The amount of space left in the apple pie pan = 3/8
1/2 + 3/8
= 4+3/8 = 7/8
1 - 7/8 = 1/8
Option d is correct
Therefore, all the 4 statements are correct.
Please help!!!
Geometry
Answer:
estimately 10.3
Step-by-step explanation:
PLEASE HELP! 50 points!
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
The graph represents which system of inequalities?
A. y ≤ −2x + 3
y ≤ x + 3
B. y ≥ −2x + 3
y ≥ x + 3
C. y ≤ −3x + 2
y ≤ −x + 2
D. y > −2x + 3
y > x + 3
Answer:
C. y ≤ −3x + 2 . Not sure, but I'm kind of confident in my answer.
helppppppppppppppppp meeeeeeeee
Answer:
6n
Step-by-step explanation:
Solve for j in the proportion.
Answer:
j=12
Step-by-step explanation:
1. Multiply 8 by both sides
8/1 x 3/2 = j/8 x 8/1
2. Solve
12=j or j=12
What do I put in those blank spaces? Been doing this for hours
Answer: okay so this is what I think is the answer I used a calculate so
Step-by-step explanation:
$12.05
$24.08
$36.12
$48.16
$60.20
Step-by-step explanation:
1 hour 2 hours 3 hours 4 hours 5 hours
$12.04 $24.08 $36.12 $48.16 $60.20
1a) Your brother has saved $2,000 for vacation. If his airplane ticket costs $600, and his hotel room costs $200 per day, write an inequality for the maximum number of days your brother can be on vacation. (Select the correct answer) *
Answer:
7 days
Step-by-step explanation:
2000-600 is 1400.
1400/200 is 7
2000=200x+600
x=7
I would like to get some answers for my test but it's not letting me see the answers
Answer:
Show me the problem and I'll answer
Step-by-step explanation:
Answer:
Try re-loading your page
Step-by-step explanation:
At the top left corner of your pc where you would type a website (example Google . com) your pc there should be an arrow it runs in a circle around to-itself, click that.
If x is 6, then 7x =
Answer:42
Step-by-step explanation: You have to multiply 7 per 6 and so the result will be 42.
1. You pay $25.00 to fill up the 13-gallon gas tank of your internal combustion engine car.
How much are you paying for one gallon of gas?
Answer:
$1.92 a gallon!!
Step-by-step explanation:
Answer:
You will pay $1.92 per gallon.
Step-by-step explanation:
Divide 25.00 by 13 to by how much money per gallon:
[tex]25.00/13=1.923[/tex]
You cannot round up.
You will pay $1.92 per gallon.
-Hope this helps! :)
which is the farthest away from sea level,-3, -2, -0.8, 1/10, 1/2, 0.8, 7
Answer: 7
Of all the numbers listed, the number 7 is the greatest. If you are asking for the farthest from sea level, it is 7 because of the fact that it is the greatest number.
The answer is 7. Hope this helps!
Answer:
sea level is 0 so it would be 7
-3 -2-0.80<<<<<< sea level1/101/20.57Find the slope of ( 2 , 4 ) and ( 6 , 12 )
A. 1/2
B. 2
C. -1/2
D. -2
Answer:
A
Step-by-step explanation:
12-4/6-2=8/4=2/1