-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 number equals -4 and 2
Answer:
is there a graph or any other options to go with this?
Step-by-step explanation:
Use the protractor to find the degree measure of the angle.
Make sure to write your answer with the degree sign.
Answer:
the angle is 136*
Step-by-step explanation: hope this heled pls mark braineist
A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank A holds 40 L and 5 fish. Tank B holds 100 L and 12 fish. Tank C holds 180 L and 23 fish. Order the tanks by volume per fish from least to greatest.
I will mark the first person who gets this right as Brainliest.
Answer:C A B
Step-by-step explanation:A:40 divided by 5=8 B:100 divided by 12 =8.33 C:180 divided by 23=7.83
can anyone help with this please? 20 points for it
Answer:
9
Step-by-step explanation:
3^2 = 9
-7 + a = 3
Given the above equation, what is the value of
10-[(a -3) - 7]?
Answer:
10
Step-by-step explanation:
a=3+7
a=10
10-[(10-3)-7]=
=10-[7-7]=
=10-0=
=10
The solution of expression 10 - [(a - 3) - 7] would be 10.
Given that,
The equation is,
-7 + a = 3
Now, we can simplify the equation as,
- 7 + a = 3
a - 7 = 3
Subtract 3 on both sides,
a - 3 - 7 = 0
(a - 3) - 7 = 0 .. (i)
Here, the equation to simplify is,
10 - [(a - 3) - 7]
Substitute the value from equation (i),
10 - 0
= 10
Therefore, the solution of expression is 10.
To learn more about the equation visit:
brainly.com/question/28871326
#SPJ4
i really need help with this one please help me thank you
Answer:
B
Step-by-step explanation:
Rachel finished a meal at a diner and received a bill for $10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary. A.) $11.14. B.) 12.54 C.) 13.19 D.) 13.73
Answer:
B 12.54
Step-by-step explanation:
10.99 times 0.15 equals 1.55
10.99 + 1.55 = 12.54
Answer:
$10.99 + 15% = $12.63
Step-by-step explanation:
Simplify 2 + 17x - 5x + 9
Answer:
12x + 11
Step-by-step explanation:
Combine like terms
Answer:
B. 12x + 11 :)
Step-by-step explanation:
Evaluate the following expressions for
M= -3
N= 4
P= 2
Answer:
-8
Step-by-step explanation:
p²+mn
2²+-3(4)
4+-12
-8
Answer:
The answer is -8
Step-by-step explanation:
p^2+mn
2^2+(-3)(4)
4+-12
-8
The measure of angle MBT ?
Answer:
Oooo I’m doing a question just like that one on my hw
Step-by-step explanation:
Solve the equation 1/2(16x-6)=2
Answer:
x=5/8
Step-by-step explanation:
A shop sells bagels for $5 per dozen. You can use the table to answer
the questions. Explain your reasoning. (Show all your work)
1. At this rate, how much would 6 bagels cost?
2. How many bagels can you buy for $50?
Answer with step-by-step explanation:
Lets says the number of bagels is B and the price in dollars is D.
Equation: D × 12/5 = B
1. 6 is half of a dozen, which means the price would be half of 5, 2.5
2. $50 is 10× the amount of $5, so the amount of bagels would be 10 × 12, which is 120 bagels.
Hope this helped! (brainliest please)
A Dozen mathematically means 12.
It is important to note that:
$5 = 12 bagels
1) 12 bagels = $56 bagels = ?
Cross Multiply
6 bagels x $5 / 12
= $7.50
Therefore, 6 bagels would cost $7.50
2) $5 = 12 bagels$50 = ?
Cross multiply
$50 x 12 bagels / $5
= 120 bagels
Therfore, you can buy 120 bagels for $50
To learn more, visit the link below:
https://brainly.com/question/9094069
what is f(1) its for my math assignment
A basketball player is 90 inches tall. A model is created of the player using a scale factor of 1:20. How tall is the model in inches?
Answer:
4.5
Step-by-step explanation:
cody's Bikes rents bikes for $18 plus $5 per hour. Mark paid $48 to rent a bike. For how many hours did he rent the bike.
Answer:
Cody rented the bike for 6 hours
A winter jacket cost $200. It is on sale for 30% off when you have a coupon to save another 20%. How much do you have to pay for the jacket before taxes
Answer:
$100
Step-by-step explanation:
20%+30% = 50% off
50/100 = 1/2
200*1/2 = $100
72 = -6r
Pls solve in steps forgot how to solve these lol
Answer:
72 = -6r
r= -72/6
r = -12
is the answer
What is an equation of the line that passes throuogh the points( -6,-5) and( 2-,3)
Answer:
y = 2 x + 7
Step-by-step explanation:
Use the slope formula and slope-intercept form y=mx+b to find the equation.
If the function f(x)= 2x – 3 and g(x) = 3/2x + 1 then which of the following is a true statement?
f(0) > g(0)
f(8) = g(8)
f(2) = g(2)
g(4) < f(4)
Answer:
f(8) = g(8)Step-by-step explanation:
Given
f(x)= 2x – 3 and g(x) = 3/2x + 1
f(0)= 2(0)-3
f(0) = -3
g(0) = 3/2(0)+1
g(0) = 0+1
g(0) = 1
Hence since -3 < 1, this means that f(0)<g(0)
Also;
f(8)= 2(8)-3
f(8) = 16-3
f(8) = 13
g(8) = 3/2(8)+1
g(8) =12+1
g(8) = 13
This shows that g(8) = g(8)
Hence g(8) = g(8) is a true statement
" X is at least 2" can be represented by x > 2.
True
False
Answer: False, as you see there's the word "Least" so x can be equate to one. So therefore it's false.
For some reason, in our history class, there are 14 more boys than there are girls. If a total 32 students are in the class, how many boys and how many girls are there
Answer:
We can assume X is the number of girl, so the number of boy should be X+6.
Based on question, we can get X+X+6=32
2X+6=32
2X=26
X=13
So the answer is, 13 girls are in the class.
Step-by-step explanation:
Which value is a perfect square root?
O 12
O 24
O 49
O 63
Answer:
It's 49
Step-by-step explanation:
Find the distance between the two points in simplest radical form.
(2,7) and (-7,-5)
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, 7) and (x₂, y₂ ) = (- 7, - 5)
d = [tex]\sqrt{(-7-2)^2+(-5-7)^2}[/tex]
= [tex]\sqrt{(-9)^2+(-12)^2}[/tex]
= [tex]\sqrt{81+144}[/tex]
= [tex]\sqrt{225}[/tex]
= 15
Shen’s mother gave him $10 to go buy groceries. He picked up a gallon of milk for $3.49, three pounds of oranges that cost $1.14 per pound, and a box of cereal for $3.46. Shen used front-end estimation to determine whether he had enough money for the groceries. How much did he estimate the total cost would be?
He estimated that he had about $7 worth of groceries.
He estimated that he had about $9 worth of groceries.
He estimated that he had about $10.30 worth of groceries.
He estimated that he had about $10.40 worth of groceries.
Answer:
He estimated that he had about $10.40 worth of groceries.
Step-by-step explanation:
Here are the correct answers for these questions below
A = 028
B = 210
Umm...... Okay then..?
I need help!!! :))))
Answer:
c
Step-by-step explanation:
Answer:
420-20w = 240
Step-by-step explanation:
She starts with $420 and is taking out $20 a week so in the equation the 20 has to be negative because she is withdrawing instead of adding.
Michael Hendrix earned $232.10 for working 27.5 hours. How much would he earn if he worked 40 hours? (Annex a zero to
the dividend to make the quotient come out even)
out even.)
Answer:
337.60
Step-by-step explanation:
I divided what he earned by what he worked and multiplied that number by 40
15 points please answer this ;(
Answer:
see explanation
Step-by-step explanation:
(1)
Given
A = bh ( isolate h by dividing both sides by b )
[tex]\frac{A}{b}[/tex] = h
(2)
Using the result from (1)
h = [tex]\frac{A}{b}[/tex] = [tex]\frac{45}{9}[/tex] = 5 ft
Write 65% as a fraction and a decimal
Answer:
Fraction: 13/20
Decimal: 0.65
Step-by-step explanation:
Fraction: 65/100
You can divide both numbers by 5
13/20
Decimal: move the decimal point 2 left
65.0 --> 6.5 --> 0.65
hopefully this is right if not i am sorry