5. MAPPING Ben and Kate are making a
map of their neighborhood on a piece of
graph paper. They decide to make one
unit on the graph paper correspond to
100 yards. First, they put their homes
on the map as shown below.
a. How many yards apart are Kate's and Ben's homes?
b. Their friend Jason lives exactly halfway between Ben and Kate. Mark the location of Jason's home on the
map. if my answers are wrong, correct me. i just used a pdf and idk if they’re right. ty ❤️
Answers
Answer:
a. 1,000 yards
b. (2, -1)
Step-by-step explanation:
Coordinates of Ben's House = (6, 2)
Coordinates of Kate's House = (-2, -4)
a. Number of yards between Kate and Ben's House using instance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].
[tex] d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2} [/tex]
[tex] d = \sqrt{(8)^2 + (6)^2} [/tex]
[tex] d = \sqrt{64 + 36} [/tex]
[tex] d = \sqrt{100} [/tex]
[tex] d = 10 units [/tex]
1 unit = 100 yards
Therefore, 10 units = 1,000 yards.
Kate and Ben's House are 1,000 yards apart.
b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Plug in the values
[tex] M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2}) [/tex]
[tex] M(\frac{4}{2}, \frac{-2}{2}) [/tex]
[tex] M(2, -1) [/tex]
Related Questions
Hey guys what is 2.009 to 2 significant figures please help. Thanks.
Answers
Answer:
2.0
Step-by-step explanation:
→ The first 2 is the first significant figure and then 0 is the second significant figure
What is the difference between the slope of a horizontal line and a vertical line?
Answers
Answer:
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Step-by-step explanation:
The slope of a line is change in Y / change in X.
The slope of a horizontal line = 0, not undefined.
The slope of a vertical line = undefined.
1. (kerry is going to the ice cream shop wi When she gets there, she sees that the coop of ice cream a person orders, pl sing this information
Answers
Answer:
what do u mean sing like can you rewrite what we suppose to look in it.
Step-by-step explanation:
Geneva treated her parents to dinner at their favorite restaurant. The bill was $88.75. Geneva wants to leave 17% of the total bill as a tip. How much should the tip be? Round to the nearest cent.
Answers
Answer:
$15.09
Step-by-step explanation:
88.75 x .17 =15.0875 round to nearest cent
15.09 rounded (thats the tip )
Lorena comprara una pecera en forma de cubo.El vendedor le ha informado que solo tiene peceras con capacidad de 512 unidades cubicas. En una nota explica a Lorena las dimensiones que tiene la pecera.
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Answers
Answer:
I don't speak Spanish and I can't read Spanish, so I don't understand.
Step-by-step explanation:
Cuales son las soluciones de la siguiente ecuación x4-x3-7x2+x+6=0
Answers
Answer: x=−1 or x=1 or x=−2 or x=3
Step-by-step explanation: Step 1: Factor left side of equation.
(x+1)(x−1)(x+2)(x−3)=0
Step 2: Set factors equal to 0.
x+1=0 or x−1=0 or x+2=0 or x−3=0
x=−1 or x=1 or x=−2 or x=3
Look at the system of equations in the box at
the right. Kevin stated that the equations in this system
have the same slope, so there will be infinitely many
solutions. Does Kevin's statement make sense?
Answers
Answer:
No.
Step-by-step explanation:
No, Kevin’s statement doesn’t make sense. He is correct that since the two equations have the same slope. Thus, they are parallel to each other.
However, since they are parallel, they will never touch. Therefore, there is no solution.
They will be infinitely many solutions if they are parallel and they have the same y-intercept.
Answer:
No it does not make sense
Step-by-step explanation:
If 2 linear equations have the same slope, then they represent two parallel linesParallel lines never cross, so they cannot have any solutionMrs. Jackson earned a $500 bonus for signing a one-year contract to work as a nurse. Her salary is $22 per hour. If her first week’s check including the bonus is $1,204, how many hours did Mrs. Jackson work
Answers
Answer:
32 hours
Step-by-step explanation:
First setup an equation
500 + 22x = 1204 the x represents how many hours she worked an that is what we want to know. So to find out x you do this......
22x + 500 = 1204
1204-500= 704
704/22 = 32
So, X = 32 hours
Geomtry help, Need answer as soon as possible please! (image of problem attached)
Answers
Answer:
A
Step-by-step explanation:
hope this helps
brainiest plzzTwenty percent of a mixture of pure milk and water is water. Half a litre of wine is added to one litre of the mixture of water and milk and throughly mixed. What percentage of the new mixture is water?
Answers
Answer:
In the new mixture, the percentage of water with respect to its total is 13.33%.
Step-by-step explanation:
Given that in a liter of mixture 20% of it was water and the remaining 80% was pure milk, and that half a liter of wine was added to that liter of mixture, to determine the percentage of water in the new mixture is necessary to perform the following calculation:
20 + 80 + 50 = 150
150 = 100
20 = X
((20 x 100) / 150) = X
2,000 / 150 = X
13.33 = X
Thus, in the new mixture, the percentage of water with respect to its total is 13.33%.
staples sell 15 boxes of pens for every 4 boxes of pencils. if they sold 105 pens, how many pencils did they sell?
Answers
Answer:
Step-by-step explanation:
Well it’s 7 boxes of pens. Cause 15 x 7 = 105.
15 divided by 4 = 3.75
dave is painting a fence in his uncle's yard he painted 2 sections of the fence in 30 minutes Dave has 9 sections to paint. if Dave paints at the same rate how many minutes will it take him to finish
Answers
Answer:
135
Step-by-step explanation:
30÷2≡15
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Answers
Answer:
21 books were added
Hope I helped,
PumpkinSpice1
☼♥☼♥☼♥☼♥☼
Three concert tickets cost $45 what is the cost per ticket
Answers
Answer: 15
Step-by-step explanation:
45$ = 3 Tickets
45 / 3 = 1 Ticket
1 Ticket = 15
The cost of the concert ticket is 15 dollars per ticket.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that Three concert tickets cost $45.
To determine the cost per ticket.
Therefore,
45$ = 3 Tickets
For the unit cost of the concert ticket.
45 / 3 = 1 Ticket
1 Ticket = 15
Hence, the cost of the concert ticket is 15 dollars per ticket.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Which function has an inverse that is a function?
b(x) = x2 + 3
d(x) = -9
m(x) = -7x
p(x) = |x|
Answers
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
The stem-and-leaf plot below gives the gas mileages (in miles per gallon) for 14 new cars. Use the plot to answer the questions that follow.
Answers
Answer:
a) 1
b) 58
c) 47
Step-by-step explanation:
don't really have a step by step explanation I just took the information from the chart and applied it to the questions
PLEASE HELPPP!!!!! 15 POINTS
Jose bought 1.5 pounds of apples for $3.60.
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Enter your answer in the box.
Answers
Answer:
81.6
Step-by-step explanation:
If you do a table and find the unit rate by dividing 3.6/1.5. That gives you 2.4.
Now you multiply 2.4 (the price per pound) by 34 because that's how many pounds you need. You get 81.6
Answer:
$14.28
Step-by-step explanation:
1.5 / 3.60 = 0.42
0.42 * 34 = 14.28
you would divide the pounds by the money because you are trying to find 5e pounds per dollar. So then you get 0.42 the multiply that by 34 and you would get the answer of 34.
Please help
Picture inserted
Multiple choice
Will appreciate it if you help!
Answers
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Explanation:
The equation y = x^2 - 1 is known as a quadratic since the largest exponent here is 2. This equation cannot be written in slope intercept form y = mx+b, so that's why it's not linear. You can also graph y = x^2-1 to get a curved parabola. The graph must be a straight line if you want a linear equation.
please help asap question two
Answers
Answer:
C
Step-by-step explanation:
Determine the value of x.
Answers
Answer:
3[tex]\sqrt{3[/tex]
Step-by-step explanation:
3[tex]\sqrt{3[/tex]. It’s a special triangle. 30, 60, 90.
the side across from 60 is always x [tex]\sqrt{3[/tex] With the side across from 30 being x.
Answer:
3sq root 3
Step-by-step explanation:
A man decides to buy a nice horse. He pays $60 for it, and he is very content with the strong animal. After a year, the value of the horse has increased to $70 and he decides to sell the horse. But already a few days later he regrets his decision to sell the beautiful horse, and he buys it again. Unfortunately he has to pay $80 to get it back, so he loses $10. After another year of owning the horse, he finally decides to sell the horse for $90. What is the overall profit the man makes?
Answers
Answer:
80!
Step-by-step explanation:
Goodluck!
Answer:
Horse Trade
Consider the trade-story as if it describes two separate trades, where:
In the first trade, the man buys something for $60 and sells it again for $70, so he makes a profit of $10.
In the second trade, the man buys something for $80 and sells it again for $90, so he makes again a profit of $10.
Conclusion: The man makes an overall profit of $10 + $10 = $20.
You can also look at the problem as follows: the total expenses are $60 + $80 = $140 and the total earnings are $70 + $90 = $160. The overall profit is therefore $160 - $140 = $20.
Si f(1)=18 que es f(5)
Answers
Perform the operation and write your answer in standard form (a + bi). (−8 − 2i)+ (−4 + 6i)
Answers
Answer:
-12+4i
Step-by-step explanation:
(-8-2i)+(-4+6i)
-8-2i-4+6i
-12+4i
Use the graph below to graph the system of inequalities. Be sure to include your shading.
y> -2x + 5
Answers
Answer:
put your first point at y 5
Step-by-step explanation:
go down 2 and 1 to the right Point then down 2 and one to the right
continue that all the way down
then start back at y 5 ...go left one up 2 and point left one and up two ..continue that all the way up the f]lfet side of the graph ( - side )
draw a straight line all the way down and shade in the whole right side of the graph
Help! Need this really fast! :(
Answers
Answer: a
Step-by-step explanation:
sing the ABCs to me :D
Answers
Answer:
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z
now you know your abc's next time wont you sing with me
Step-by-step explanation:
Answer:
LovelyPeaches on the track
This beat burnin' and itchin'
Don't leave me 'round yo man 'cause yo dude gonna go missing
Travel all around the world, yes I'm on a mission
Step-by-step explanation:
Please help The profit P, of a fundraising event can be modeled by the equation p= 50x-2000, where x is the number of tickets sold. What does the 50 in this expression represents?
A. The number of tickets sold
B. The number of people that attended
C. The profit from the event
D. The cost per ticket
Answers
Answer:
D. The cost per ticket
Step-by-step explanation:
You might remember that an equation in the form [tex]y=mx+b[/tex] is in slope-intercept form, where m is the slope and b is any number constant.For this equation, [tex]p=50x-2000[/tex] , y is p, the slope m is 50 and b is -2000The slope tells how much the profit is changing with each ticketSlope simply means "the amount of change"So if we have 2 tickets sold, the profit is [tex]p=50*100-2000=3000[/tex] What about 101? [tex]p=50*101-2000=3050[/tex] So the profit is changing by 50 with every ticketThat means each ticket costs 50 whatever currency It will save you trouble to just remember that in a profit equation, the slope is always the cost per item.Eric is saving money to buy a game. So far he has saved $12, which is three-fourths of the total cost of the game. How
much does the game cost?
Answers
To find the answer divide 12 by 3/4
Answer: should be 16.
Step-by-step explanation:
Because 3 fourths of 16 is 12.
free think fast 20X10
Answers
Answer:
200 yessir
Step-by-step explanation:
Solve the equation using distributive property and properties of equality
What is the value of a? -5 (a +3) = -55
Answers
Answer: -5(8+3) = -55
Step-by-step explanation: a = 8