From house to his job as a janitor, you can walk in a straight line. In the afternoon he has to stop twice on his way home. His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school. The second stop will be at OWL Barbershop for his haircut. The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1. The coordinates of his house are H (-3, -4) and his job coordinates are J(5, 0). Please use B to represent the Bodega and O to represent OWL Barbershop.
Answers
Answer:
The coordinates of Bodega is B(1,-2)
The coordinates of OWL Barbershop is O(3,-1)
Step-by-step explanation:
Coordinates of House H = (-3,-4)
Coordinates of Job J= (5,0)
His first stop is at the bodega to get something to eat. The bodega is exactly halfway between his house and the school.
Let B to represent the Bodega
Now to find coordinates of Bodega we will use use mid point formula since bodega is exactly halfway between his house and the school.
[tex]x=\frac{x_1+x_2}{2} , y = \frac{y_1+y_2}{2}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\x=\frac{-3+5}{2} , y = \frac{-4+0}{2}\\x=1, y = -2[/tex]
So, The coordinates of Bodega is B(1,-2)
Now we are given that The OWL Barbershop location partitions the way from Wilfred’s house and job in the ratio 3:1.
Le O to represent OWL Barbershop.
We will use section formula
[tex]x=\frac{mx_2+nx_1}{m+n} , y =\frac{my_2+ny_1}{m+n}\\(x_1,y_1)=(-3,-4)\\(x_2,y_2)=(5,0)\\m:n=3:1\\x=\frac{3(5)+1(-3)}{3+1} , y =\frac{3(0)+1(-4)}{3+1}\\x=3,y=-1[/tex]
So, The coordinates of OWL Barbershop is O(3,-1)
Related Questions
In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls
Answers
Answer:
390 girls.
Step-by-step explanation:
[tex]\frac{3}{5}[/tex] of 650 is 390.
A ratio shows us the number of times a number contains another number. The number of girls in the school will be equal to 260.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that in the school, there are 3 girls for every 2 boys. Therefore, the ratio of girls to boys in the school can be written as,
Ratio = Girls / Boys = 3 / 2
Now, as per the ratio of the girls to boys, we can assume that the number of girls and boys in the school are 3x and 2x, respectively.
Further, given that the total number of students in the school is 650. Therefore, the total number of students can be written as,
Number of boys + Number of girls = 650
3x + 2x = 650
5x = 650
x = 130
Thus, the number of girls in the school can be written as,
Number of girls = 3x
= 3 (130)
= 260
Hence, the number of girls in the school will be equal to 260.
Learn more about Ratios:
https://brainly.com/question/1504221
#SPJ2
15.03 cm, 14.92 cm, and 15.30 cm. The actual length is 15cm. Which of the following would be most accurate?
Answers
Answer:
15.03 cm.
Step-by-step explanation:
Hope it helps!
7th grade math help me plzz
Answers
Answer:
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
Step-by-step explanation:
hope this helps
What is the correct order of the numbers from least to greatest. 0, -3/2, 7/3, 2.1, -2
Answers
Answer:
-3/2, -2, 0, 2.1, 7/3
Step-by-step explanation:
Please correct me if I am wrong. Thank you.
Jill bought a house for $250,000. The expected depreciation of a house is 18% a year. When will her
house be worth $200,000?
Answers
Answer is 1 year 1 month and 5 days
Given the system of linear inequalities below Choose the point that represents a solution to the system
Answers
Answer:
listen to the song acquaintances by the weeknd its amazing
Which equation matches the graph?
Answers
Answer:
equation C
Step-by-step explanation:
y-axis = 4
gradient of line is -2/3
A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle. How long will it take for the two bottles to have the same amount of water
Answers
Answer:
8.5 minutes
Step-by-step explanation:
the bottle will have leaked half into the 2nd bottle, meaning the 2nd bottle has half too
It will take 17 minutes for the two bottles to have the same amount of water.
What is unit rate?Something calculated for one is called unit rate.
Given that, A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle.
To have same amount of water both the bottles will have 17/2 = 8.5 ounces of water in them,
Since, it takes a minute to leak or fill half of an ounce,
Therefore, one ounce will take 2 minutes.
Therefore, 8.5 ounces will take = 8.5×2 = 17
Hence, it will take 17 minutes for the two bottles to have the same amount of water.
Learn more about unit rate, click;
https://brainly.com/question/29781084
#SPJ5
For 9-10, Write one equation to show a way to break down each number 24
Answers
Salazar is driving 70 miles per hour. At this rate, how long will it take for him to travel 840 miles?
Answers
Answer:
12 hours
Step-by-step explanation:
Step 1:
70 : 1 Ratio
Step 2:
70 : 1 = 840 : x Equation
Step 3:
840 = 70x Multiply
Step 4:
x = 840 ÷ 70 Divide
Answer:
12 hours
Hope This Helps :)
In a computer instant messaging survey, respondents were asked to choose the most fun way to flirt,
and it found that P(D) = 0.710, where D is directly in person. If someone is randomly selected, what does
PD) represent, and what is its value?
What does Po represent?
O A. P(D) is the probability of randomly selecting someone who did not participate in the survey.
OB. P(D) is the probability of randomly selecting someone who chooses a direct in-person
encounter as the most fun way to flirt.
OC. P(D) is the probability of randomly selecting someone who does not choose a direct in-person
encounter as the most fun way to flirt.
OD. P(D) is the probability of randomly selecting someone who did not have a preference in
regards to the most fun way to flirt.
PD = (Simplify your answer.)
Answers
Answer: C , 0.29
Step-by-step explanation:
P(D) is the probability flirting of directly in person.
represents probability of flirting other than in person.
P(D)=0.710.
= 1 - 0.710.
= 0.29
Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.29.
The least-squares regression line yˆ=1.8−0.2x summarizes the relationship between velocity, in feet per second, and depth, in feet, in measurements taken for a certain river, where x represents velocity and y represents the depth of the river. What is the predicted value of y, in feet, when x=5?
Answers
Answer:
0.8
Step-by-step explanation:
It is 0.8 because since you have y=1.8-0.2x (which is in the form of y=mx+b); and you have the value that x=5, all that you have to do is plug in 5 into the X in the equation.
Here is shown work:
y=1.8-0.2x
y=1.8-0.2(5)
y=1.8-1
y=0.8
Hopefully this helps! :)
The predicted depth value when the velocity value is 5 will be 0.8 feets
Given the regression model :
yˆ=1.8−0.2x
yˆ = Predicted value
x = velocity
To calculate the predicted depth, at a given velocity, x ;
Substitute the value of x and solve for yˆ in the equation
When x = 5
yˆ=1.8−0.2(5)
yˆ=1.8− 1.0
yˆ = 0.8
Therefore, the predicted depth value in feet is 0.8
Learn more : https://brainly.com/question/18405415?referrer=searchResults
How many multiples of 10 are there from 100 to 200?
Answers
Answer:
100,110,120,130,140,150,160,170,180,190,200
Step-by-step explanation:
count in 10s
A plane can fly 360 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph slower than the plane, find the speed of the plane. mph
Answers
Answer:
390
Step-by-step explanation
the plane is equal to the car right 360 = 120 if the car slows down to 90 that means we took off 30 mph so if we add that 30 to plane that will equal to 390
Could someone help with this math??!
Answers
Answer:
1. what I the square root of negative 4
2. one is minusing the square root of 4
Evaluate the given expression at x= -4
-3x + 2x^2 + 2
Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \text{46}}}}[/tex]
Step-by-step explanation:
If the value of variables of algebraic expression are given, the value of the term or expression can easily obtained by replacing the variables with numbers.
[tex] \text{ \underline{ Given}} : \text{x = - 4}[/tex]
[tex] \text{ \underline{ To \: find}} : \sf{value \: of \: - 3x + 2 {x}^{2} + 2}[/tex]
[tex] \text{ Plug \: the \: value \: of \: x}[/tex]
[tex]➝ \: \sf{ - 3 * (- 4 )+ 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Remember!} : \text{Multiplying \: a \: negative \: integer \: by \: negative \: integer \: gives \: a \: positive \: integer.}[/tex]
➝[tex] \sf{12 + 2 * {( - 4)}^{2} + 2}[/tex]
[tex] \text{Evaluate \: the \: power}[/tex]
➝[tex] \text{12 + 2 * 16 + 2}[/tex]
[tex] \text{Multiply \: the \: numbers}[/tex]
➝[tex] \text{12 + 32 + 2}[/tex]
[tex] \text{Add \: the \: numbers}[/tex]
[tex]➝ \boxed { \text{46}}[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
Answer:
46
Step-by-step explanation:
-3(-4)+2(-4)^2+2
If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.
x=
y = f(x)
3
y = g(c)
2
1
1
х
-2 -1
2
3
Answers
Answer:
Examine the chart and graph.
On the left is a 5-column table with 10 rows titled Religion in North America. The first column is titled Religion with entries Christianity, Unaffiliated, Judaism, Buddhism, Islam, Hinduism, Other Religions, Folk Regions, and Total. The second column is titled 2010 population with entries 266,630,000; 59,040,000; 6,040,000; 3,860,000; 3,480,000; 2,250,000; 2,200,000, 1,020,000; and 344,530,000. The third column is titled percent in 2010 with entries 77.4, 17.1, 1.8, 1.1, 1.0, 0.7, 0.6, 0.3, and 100.0. The fourth column is titled 2050 Projected Population with entries 286,710,000; 111,340,000; 5,920,000; 6,080,000; 10,350,000; 5,850,000; 6,540,000; 2,630,000; and 435,420,000. The fifth column is titled percent in 2050 with entries 65.8, 25.6, 1.4, 1.4, 2.4, 1.3, 1.5, 0.6, and 100.0. On the right is a pie chart titled Religions Practiced in Central America. Christianity is 95.86 percent, Agnostic 2.42 percent, Native Religions 0.99 percent, Atheism 0.15 percent, Spiritism 0.13 percent, and Other is 0.44 percent.
Which is the
Step-by-step explanation:
If you answer this thanksssssss
Answers
Answer:
A. 6.95+8t=24.95;t=2.25
Step-by-step explanation:
24.95 minus 6.95 of the canvas equals 18 dollars left for the 8 tubes of paint, but then you have to figure out how much money for each which would equal 18 divided by 8, and that equals 2.25 dollars.
Solve for x:3(x+1)=-6
Answers
Answer:
x=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
3(x +1) =-6
3x +3 =-6
3x =-6 - 3
3x=-9
x=-9:3
x=-3
Please help! Find the missing side lengths. If you must round 1 decimal place.
Answers
Answer:
x=1.6
y=4.8
z=9
Step-by-step explanation:
Answer:
X=12.5
Y=3.2
Z=6
Step-by-step explanation:
Solve.
2x + 4 3
B) x < 3
B) x 1/3
D) x < 1/3
Answers
Answer:
c
Step-by-step explanation:
a rectangular suitcase measure 24 inches long and the diagonal is 30 inches long. the zipper covers the entire perimeter of the suitcase. how many inches of the zipper was needed to cover the perimeter of the suitcase?
Answers
Given parameters:
Length of the suitcase = 24 inches
Length of the diagonal = 30 inches
Unknown:
Length of zipper required to cover the perimeter = ?
The length of this zipper is the same as the perimeter of the rectangular suitcase.
Perimeter of a rectangle = 2(L + B)
where L is the length and B is the breadth
Now, let us find the find the unknown breadth;
Using Pythagoras theorem;
30² = 24² + Breadth²
Breadth² = 30² - 24² = 324
Breadth = √324 = 18 inches
Perimeter of the suitcase = 2(24 + 18) = 84 inches.
The length of zipper that will cover this suitcase is 84inches.
A teacher spent $240.75 including tax on school supplies. If the tax rate is 7%, find the price of the supplies before taxes.
Answers
Answer:
$225.00
Step-by-step explanation:
7% of 225 is $15.75
.07x225=$15.75
$225+$15.75=$240.75
13. The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Answers
Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much farther does Pam walk than Paul?
Answers
Answer:
Pam walks 3/8 of a mile more than Paul.
Step-by-step explanation:
When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she has one leftover penny. When she arranges her pennies into a rectangle with five equal rows, she has two leftover pennies. How many pennies could Louisa have? Remember he has between 10 and 40 pennies total.
Answers
Answer:
37
Step-by-step explanation:
All those can have equal rows with leaving the one out and with five equal groups it would leave 2
Pamela's age is three times Jiri's age. The sum of their ages is 84. What is Jiri's age?
Answers
Answer:
21
Step-by-step explanation:
21*3 = 63 (add jiri's age)
63+21= 84
Hope this helps!
help anyone please??
Answers
Answer:
I believe 3 ways based on what I see in the picture.
When a number, half of the number, and a third of the number are added together, the
sum is 275. Find the three numbers.
Answers
Step-by-step explanation:
Let the number be x.
Half of a number is x/2 and a third of the number is x/3
ATQ,
[tex]x+\dfrac{x}{2}+\dfrac{x}{3}=275\\\\\dfrac{6x+3x+2x}{6}=275\\\\\dfrac{11x}{6}=275\\\\x=\dfrac{275\times 6}{11}\\\\x=150[/tex]
Frist no is 150
Second no is 150/2 = 75
Third no is 50
1/6 x 3/4 plssss I need help
Answers
Answer:1/8
Step-by-step explanation: :D CALULATOR BAD SPELL I KNOW
