Your school is located at (2, -1), which is 2 blocks east and
1 block south of the center of town. To get from your house to the school,
you walk 5 blocks west and 2 blocks north.
Answers
Let's begin by understanding your initial position, which is the school, located at coordinates (2, -1). The school is 2 blocks east and 1 block south of the center of town. This means that if you were to go to the center of town, you would travel 2 blocks west and 1 block north from the school. Now, to find out where your house is in relation to the school, we can reverse the steps you take to get from your house to the school. You’ve said you walk 5 blocks west and 2 blocks north to reach the school. Since you walk west to reach school, your house must be to the east of the school. Similarly, since you walk north to reach school, your house must be to the south of the school. To get back to your house from the school, then, you'd need to reverse both of these movements. To find the house’s position, we start with the school's position at (2, -1): 1. Since you walk 5 blocks west to get to school, let's go 5 blocks east from the school to get back to your house. Moving east means increasing the x-coordinate. So, starting from the x-coordinate of the school, which is 2, we add 5 to find the x-coordinate of your house. This gives us 2 + (-5) = -3. 2. Next, since you walk 2 blocks north to get to school, let's go 2 blocks south from the school to reach your house. Moving south means decreasing the y-coordinate. So, starting from the y-coordinate of the school, which is -1, we subtract 2 to find the y-coordinate of your house. This gives us -1 + 2 = 1. Therefore, the coordinates of your house are (-3, 1), which means your house is 3 blocks west and 1 block north of the center of town.
Final answer:
To locate the student's house on a grid, you need to reverse the movements made from the school to the house. By subtracting 5 blocks west and adding 2 blocks north from the school's coordinates (2, -1), the house's coordinates are determined to be (-3, 1).
Explanation:
The question involves a two-dimensional path on a grid, similar to the coordinates and movements given in the examples provided. To solve the problem, imagine that you start at the center of town, move 2 blocks east and 1 block south to reach the school at (2, -1), and then move from your house to the school by walking 5 blocks west and 2 blocks north.
To find your house's coordinates, you need to reverse the movements. Starting from the school's location at (2, -1), moving 5 blocks west means subtracting 5 from the x-coordinate, and moving 2 blocks north means adding 2 to the y-coordinate. Thus, the coordinates of your house would be (2 - 5, -1 + 2) which simplifies to (-3, 1).
Related Questions
An ice cream store sells 2drinks, in 5 sizes, and 5 flavors. In how many ways can a customer order a drink?
Answers
Answer:
2*5*5= 50 because for each drink (2) there’s (5) different sizes and (5) flavors.
Step-by-step explanation:
A customer at an ice cream store can order a drink in 50 different ways by choosing from 2 drinks, 5 sizes, and 5 flavors, as calculated by the fundamental counting principle.
Explanation:To determine the number of ways a customer can order a drink at an ice cream store with 2 drinks, 5 sizes, and 5 flavors, we need to calculate the combinations of these options. Since each choice is independent of the others, we use the concept of the fundamental counting principle, where we multiply the number of options for each category together.
For drinks, there are 2 options. For sizes, there are 5 options, and for flavors, there are 5 options.
We multiply these options together: 2 drinks * 5 sizes * 5 flavors = 50 combinations.
Therefore, a customer can order a drink in 50 different ways.
Write the equation of the line that is parallel to y=-0.75x and that passes through the point (8,0)
Answers
The equation of the line that is parallel to y=-0.75x and passes through the point (8,0) is y = -0.75x + 6.
Explanation:The equation of a line in the form y = mx + b represents a linear equation, where m is the slope of the line and b is the y-intercept. Since we are looking for a line parallel to y = -0.75x, we know that the new line will have the same slope. So, the equation of the new line is y = -0.75x + b. To find the value of b, we can substitute the coordinates of the point (8,0) into the equation and solve for b.
0 = -0.75(8) + b
0 = -6 + b
b = 6
Therefore, the equation of the line that is parallel to y = -0.75x and passes through the point (8,0) is y = -0.75x + 6.
write a sentence explaining why all solutions of rational equation must be checked
Answers
Answer:
It is highly important for all solutions of rational equation to be checked to make sure you get the right answer.
In solving a rational equation, we always clear of fractions. When we clear of fractions we always multiply both sides by a variable quantity. When we multiply both sides of an equation by a variable expression, we may introduce an extraneous solution a zero of that expression we multiplied through by.
100% on edg
Which of the following is a correct interpretation of the expression 4 - (-3)
Start at 4 on the number line and move 3 to the left.
Start at 4 on the number line and move 3 to the right.
Start at -3 on the number line and move 4 to the left.
Start at -3 on the number line and move 4 to the right.
Answers
4 - (- 3) = 4 + 3
Addition moves to the right.
Subtraction moves to the left.
Start at 4 on the number line and move 3 to the right.
Find the largest number. 16.3, 15.7, 16.9, 15.8
Answers
Answer:
16.9
Step-by-step explanation:
What is the number place 2 in 582.091 rounded to
Answers
Answer:
582.091 Rounded to 2 places after the decimal point is 582.09
:)
Answer:
unit
Step-by-step explanation:
H. T. U.
5. 8. 2
5 is representing a hundred
8 is representing the tenth
2 is representing the units
Please show all work cuase I don’t understand thank you
Answers
Answer:
13a. 0.92 miles
13b. C
Step-by-step explanation:
13a. The first ride costs $2.75 more than the second ride. Each quarter mile after the first quarter mile costs $0.75, so the difference in distance is:
0.75 d = 2.75
d = 3.67
The difference is 3.67 quarter miles, or 0.92 miles.
13b. The total cost is the cost of the first quarter mile plus the cost of the rest of the quarter miles.
C(n) = 2.50 + 0.75 (n − 1)
Choose all the examples that describe volume.
✓
A. the amount of shampoo in a bottle
✓ B. the amount of soap in a bar of soap
c. the amount of border around a chalkboard
D. the amount of wrapping paper covering a gift
Answers
Answer:
A, B
Step-by-step explanation:
Volume: the measure of the amount of space that a substance (such as liquid, gas, or solid) occupies in an enclosed environment (such as a container).
Sofia has $1.90 worth of nickels and dimes. She has a total of 25 nickels and dimes altogether. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Sofia has. Define the variables that you use to write the system.
Answers
Answer:
The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12
Step-by-step explanation:
Given as :
The net worth of nickels and dimes = $ 1.90
The total number of nickles and dimes altogether = 25
Let The number of nickles that Sofia has = n
And The number of dimes that Sofia has = d
Now,
Since The value of 1 nickle = [tex]\frac{1}{20}[/tex] dollar
And The value of 1 dimes = [tex]\frac{1}{10}[/tex] dollar
So, According to question
n + d = 25 ..........1
And $ [tex]\frac{1}{20}[/tex] × n + $ [tex]\frac{1}{10}[/tex] × d = $ 1.90
Or, n + 2 d = 38 .....2
Solving Eq 1 and 2
∵ n + 2 d = 38
or, 25 - d + 2 d = 38
or, d = 38 - 25
∴ d = 13
So, The number of dimes she has = 13
And the number of nickles = n = 25 - 13
∴ n = 12
Hence The number of dimes does Sofia has is 13 , and The number of dimes does nickles does Sofia has is 12 Answer
John walks 3 miles in 5 hours
for his exercise routine. Find
the Unit rate
Answers
John walks 0.6 miles in 1 hour.
Step-by-step explanation:
Distance walked by John = 3 miles
Time period = 5 hours
5 hours = 3 miles
Unit rate is the ratio of two measurements, in which one measurement is one, therefore,
1 hour = [tex]\frac{3}{5}\ miles[/tex]
[tex]1\ hour=0.6\ miles[/tex]
John walks 0.6 miles in 1 hour.
Keywords: ratio, distance
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after using six mushrooms to boost their speed. marcus racer has travelled 650 feet. hiw far did marcus racer travel after using three mishrooms?
Answers
Answer: 325 ft
Step-by-step explanation:
6 mushrooms = 650 ft
divide by 2 on both sides
3 mushrooms = 325 ft
5 mushrooms = 6-1 mushrooms
5 mushrooms = 650 - (boost distance for 1 mushroom)
1 mushroom = 650/6 = 108.3 repeating
so 5 mushrooms = 650 - 108.333333333 = 542.66666666
A wooden plank is 19 feet long.Mrs Dambra cuts 3 feet off the wooden plank. She then cuts the remaining piece of wood into equal pieces,each 1/5 long. how many pieces does mrs.dambra cut
Answers
Answer:
80 pieces
Step-by-step explanation:
Answer:
80ft.
Step-by-step explanation:
Please mark brainliest and you will get a Dino Nuggie :)
what is -21=-7x help
Answers
Answer:
x=3
Step-by-step explanation:
-21=-7x
-7x=-21
x=3
Which pair of ratios does
not form a true proportion?
A) 8:14 and 20:35
B) 6 to10 and 15 to 25
D) 12:15 and 30:50
Answers
Answer:
8:14
Step-by-step explanation:
just multiply
a box of cereal weighs 600 grams . how much is this weight in pounds ? explain or show your reasoning .
Answers
Answer:
600 Grams = 1.323 Pounds
Step-by-step explanation:
1 gram equals 0.0022 pounds
600 x 0.0022 = about 1.323
Answer:
the weight in pounds is 1.324 pounds
Step-by-step explanation:
Hello, i can help you with this, you can easily solve this by using a rule of three, also you need to know
1 pound = 453 grams
Step 1
establish the relation
1 pound ⇔ 453 grams
x pound ⇔ 600 grams
the relation is
[tex]\frac{1}{453} =\frac{x}{600}\\ solve\ for\ x\\x=\frac{1*600}{453}\\x=1.324\\[/tex]
so, the weight in pounds is 1.324 pounds
I really hope It helps , have a nice day.
what is the surface area of a cylinder with the hight of 7 and the diameter of 9
Answers
Answer:
Step-by-step explanation:
for this, you need to remember a formula for the curved bit of the cylinder. The top and the bottom circles are easy since you only need to find their areas which are πr^2 therefore to find the radius you half 9. So 4.5^2 x π =63.62 then times two as there are two parts.
63.62 x 2 =127.24
For the curved, long bit use formula of 2πhr.
2 x π x 7 x 4.5 =63π =197.92
Jon borrows $6.50 from his friends to pay for snacks, and $11.75 from his sister to go to the movies. how much money does he need to repay
Answers
Answer:
Step-by-step explanation:
You need to add $6.50 and $11.75 and you get $18.25.
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)= -16x^2+64+80. What is the maximum height of the rocket?
A) 150 feet C) 120 feet
B) 80 feet D) 144 feet
Answers
Answer:
D
Step-by-step explanation:
At the maximum height, the value of the vertical velocity Vy equals zero. From the value of the equation, we can get the vertical velocity by its first differential.
Differentiating this, we get -32x + 64
We then equate this value to zero. This yield 32x = 64 and x = 2
We now plug the value of x back into the original expression for height.
-16(2)^2 + 64(2) + 80 = -64 + 128 + 80 = 144 feet
What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(2/3x)?
A) vertical stretching
B) vertical compression
C) horizontal compression
D) horizontal stretching
Answers
Answer:
This will be an effect of vertical compression.
Step-by-step explanation:
We have to determine the change on the graph of the function f(x) = 2x when f(x) is replaced with [tex]f(\frac{2}{3}x )[/tex].
Therefore, [tex] f(\frac{2}{3} x) = 2(\frac{2}{3}x )= \frac{4}{3} x[/tex]
It is clear that for the same value of x the y-value decreased by the factor [tex]\frac{2}{3}[/tex].
Hence, this will be an effect of vertical compression. ( Answer )
Answer:it’s horizontal stretching
Step-by-step explanation:
if you’re in usa test prep, it is NOT vertical compression.
Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What was the total cost of the bond (to the nearest whole cent)?
$943.82
$1,064.44
$534.77
$2,054.22
None of these choices are correct.
Answers
The total cost of Leona's bond is $1,053.68 when accounting for the quoted price and the 5.5% brokerage fee. Consequently, the option that correctly represents the total cost is 'None of these choices are correct.'
Explanation:Leona purchased a $1,000 bond having a quoted price of 99.875. To calculate the purchase price of the bond, we multiply the face value of the bond by the quoted price percentage:
Purchase Price = Face Value × (Quoted Price / 100) = $1,000 × (99.875 / 100) = $998.75
Next, we need to calculate the brokerage fee, which is 5.5% of the selling price. We will use the purchase price to calculate this:
Brokerage Fee = Purchase Price × (Brokerage Fee Percentage / 100) = $998.75 × (5.5 / 100) = $54.93
Lastly, we add the brokerage fee to the purchase price to find the total cost of the bond:
Total Cost = Purchase Price + Brokerage Fee = $998.75 + $54.93 = $1,053.68
Therefore, Leona's total cost for the bond is $1,053.68, which to the nearest whole cent is $1,053.68. The correct answer is 'None of these choices are correct.'
Final answer:
Leona's total cost for a $1,000 bond with a quoted price of 99.875 and a 5.5% brokerage fee is $1,053.68. Option E.
Explanation:
To calculate the total cost of the bond that Leona purchased, we need to consider both the quoted price of the bond and the brokerage fee. The quoted price of the bond is 99.875% of the face value, which means the price before the brokerage fee is 99.875/100 * $1,000 = $998.75. Then, we must calculate the brokerage fee, which is 5.5% of the selling price. Therefore, the brokerage fee equals 5.5/100 * $998.75 = $54.93.
To find the total cost of the bond, we add the price of the bond to the brokerage fee: $998.75 + $54.93 = $1,053.68. Hence, the correct answer to the nearest whole cent is $1,053.68, and the given options do not list this correct amount.
Whats 6x6+9-2-1=
(my mom will not let me use a calculator)
Answers
Answer:
42
Step-by-step explanation:
6*6+9-2-1
36+9-2-1
45-2-1
43-1
42
One Morning in Atlanta, Tina observed that the temperature was 72 degrees. Later the temperature rose 21 degrees and then dropped 11 degrees. She then flew to New York where the temperature was 67 degrees. What was the change in temperature from when Tina left Atlanta and arrived in New York
Answers
answer: 72+21=93-11=82
The change in temperature from when Tina left Atlanta and arrived in New York will be 82° and 77°.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
One Morning in Atlanta, Tina observed that the temperature was 72 degrees.
Later the temperature rose 21 degrees and then dropped 11 degrees.
Then the final temperature in Atlanta will be
⇒ 72° + 21° - 11°
⇒ 82°
She then flew to New York where the temperature was 67 degrees.
Then the final temperature in New York will be
⇒ 67° + 21° - 11°
⇒ 77°
Then the change in temperature from when Tina left Atlanta and arrived in New York will be 82° and 77°.
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Triangle A B C is shown with its exterior angles. Angle B A C is (p + 4) degrees and angle A C B is 84 degrees. Exterior angle X B C is (3 p minus 6 degrees).
What is the measure of ∠XBC?
m∠XBC = m∠BAC + m∠BCA
3p – 6 = p + 4 + 84
3p – 6 = p + 88
2p – 6 = 88
2p = 94
Answers
Answer:
The diagram of the question is attached here.
The measure of [tex]\angle XBC=135\ (deg)[/tex]
Step-by-step explanation:
All the options given here will be used to find the numeric value of [tex]\angle XBC[/tex]
Here it is shown systematically.
Exterior angle theorem: Sum of two interior angles are equal to the measure of opposite exterior angle in a triangle.
To find [tex]\angle XBC[/tex]
[tex]m\angle XBC = m\angle BAC + m\angle BCA[/tex]
Plugging the values.
[tex]3p-6 = p + 4 + (84)[/tex]
[tex]3p-6 = p + 88[/tex]
Subtracting [tex]p[/tex] both sides.
[tex]2p-6 = 88[/tex]
[tex]2p = 94[/tex]
Dividing [tex]2[/tex] both sides.
[tex]p=\frac{94}{2}=47[/tex]
So plugging the value of [tex]p=47[/tex] in [tex]3p-6[/tex] we will get the measure of [tex]\angle XBC[/tex].
So [tex]\angle XBC=(3p-6)=3(47)-6=135\ (deg)[/tex]
The measure of [tex]\angle XBC[/tex] is [tex]135\ degrees[/tex].
Based on the information, the measure of Angle XBC is 278 - 4p degrees.
What's the measurements?Given that Angle ACB is 84 degrees, Angle BAC is (p + 4) degrees, and Angle XBC is (3p - 6) degrees, you can plug in these values:
(p + 4) + 84 + (3p - 6) + Angle XBC = 360
Combine the like terms involving 'p':
4p + 82 + Angle XBC = 360
Subtract 82 from both sides:
4p + Angle XBC = 278
Now, isolate Angle XBC by subtracting 4p from both sides:
Angle XBC = 278 - 4p
So, the measure of Angle XBC is 278 - 4p degrees.
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Which expression is equivalent to (x^27y) ^1/3
Answers
Answer:
x^9*y^1/3
Step-by-step explanation:
Because x^(27*1/3)=x^9 and y^(1/3)=y^1/3.
Which system of equations has infinitely many solutions?
A)6x + 3y = 12
3x + y = 9
B)2x + 3y = 6
4x + y = 8
C)12x +9y = 6
4x + 3y = 6
D)5x + 10y = 20
2x+4y=8
Answers
Divide the first equation by 5 to get
x + 2y = 4
Divide the second equation by 2 to also get
x + 2y = 4
Since they are the same equation it results in an answer that has infinitely many solutions.
If you multiply 5x+10y=20 by 2 and 2x+4y=8 by 5 that are equal
What is the slope of y = -4?
Answers
Answer:
The slope is 0 and the y-intercept is -4
The scale of a map is 1:1000. The actual dimensions of a rectangle is 4cm by 3cm. What is the actual area in m²?
(hint: convert 1000cm -> m)
(ans: 1200m²)
BUT HOW TO DO....
Answers
Step-by-step explanation:
1cm:1000cm
multiply the dimensions by 1000cm
4cm--> 4000cm
3cm--> 3000cm
convert 4000cm and 3000cm to metres by dividing by 100
because 1m=100cm
4000/100=40m
3000/100=30m
40m x 30m= 1200m²
simplify: 3 1/2 + 1/8= 3 5/8 is that correct
Answers
Answer:
3.625
Step-by-step explanation:
I check on Google for yeah ;)
7/2 + 1/8
28/8 + 1/8= 29/8
I think that’s the answer, I’m not sure tho:)
Part of Eli’s job on the ranch is to feed the new calves. There are 5 new calves, and each calf eats 15 pounds of hay every day. Complete the area model to show the total number of pounds of hay Eli feeds the calves in 6 days. Then write the partial products and the total product.
Answers
Answer:
dfdssgfnfndfnfnb
Step-by-step explanation:
What is the slope of this line?
15
−15
5
−5
Answers
Answer:
the slope is 1/5 which is none of these. y=1/5x+3 is the equation
Step-by-step explanation:
for every single y value that the graph goes up, it travels 5 units on the x axis.
rise over run is the way i remeber slope, rise is one for every 5 run. This has a slope of positive 1/5x.
The slope of the line is [tex]\dfrac{1}{5}[/tex]. So, the correct option is A.
Given:
The graph of the line.
To find:
The slope of the given line.
Explanation:
Slope formula: If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the given graph it is clear that the line passes through the points [tex](0,2)[/tex] and [tex](5,3)[/tex]. So, the slope of the line is:
[tex]m=\dfrac{3-2}{5-0}[/tex]
[tex]m=\dfrac{1}{5}[/tex]
Therefore, the slope of the line is [tex]\dfrac{1}{5}[/tex] and the correct option is A.
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