The straight-line distance after walking 9 blocks east and 5 blocks north can be calculated using the Pythagorean theorem, resulting in a distance of approximately 10.3 blocks, which is shorter than the total 14 blocks walked.
Explanation:The question involves finding the straight-line distance between two points in a two-dimensional city grid.
When walking 9 blocks east and then 5 blocks north, you are creating a right-angled triangle where the straight-line distance is the hypotenuse of the triangle.
To calculate this, we can use the Pythagorean theorem.
To find the straight-line distance, you square the number of blocks walked east (9 blocks squared) and north (5 blocks squared), and then find the square root of their sum:
Hypotenuse = √((9 blocks)² + (5 blocks)²).
This results in a straight-line path of √(81 + 25) = √106, which is approximately 10.3 blocks.
Hence, even though you walked 14 blocks, the straight-line path is only about 10.3 blocks long, which is considerably shorter than the path you walked.
Ivan and Jeff buy a package of 8 pens for $4.00. Ivan wants 5 of the pens, and Jeff wants 3. How much should each student pay?
I am a mutiple of 60. I am between 400 and 600 . I am 40 away from a multiple of 100. who am i
Jackson has 2,000 baseball cards in his collection. Gabe has 1/10
as many baseball cards in his collection as Jackson. How many baseball cards does Gabe have in his collection?
Answer:
200 cards
Step-by-step explanation:
Given: Jackson has 2,000 baseball cards in his collection. Gabe has [tex]\frac{1}{10}[/tex] as many baseball cards in his collection as Jackson.
To Find: How many baseball cards does Gabe have in his collection.
Solution:
Total number of cards Jackson has in his collection [tex]=2000[/tex]
Let number of cards Gabe has =[tex]\text{x}[/tex]
Now,
Number of cards Gabe has [tex]= \frac{\text{total cards Jackson has}}{10}[/tex]
[tex]\text{x}= \frac{\text{total cards Jackson has}}{10}[/tex]
putting values
[tex]\text{x}= \frac{2000}{10}[/tex]
[tex]\text{x}= 200[/tex]
Hence Gabe has 200 baseball cards in his collection.
There are 200 baseballs in Gabe's collection
Total number of baseball in Jackson's baseball = 2000
Gabe's fraction of Jackson's baseball = 1/10
The Number of baseball in Gabe's collection is :
[tex](2000 \times ( \frac{1}{10} )) = \frac{2000}{10} = 200[/tex]
Therefore, the Number of baseball in Gabe's collection is 200.
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1/8(−8c+16)−1/3(6+3c) Find the difference
Answer:
its -2c
Step-by-step explanation:
luisa sells stuffed animals. she sells a stuffed elephant for $34.90, and the sales tax is 6% of the sale price. about how much is the sales tax on the elephant?
To find the sales tax on a $34.90 item with a 6% tax rate, convert 6% to a decimal (0.06) and multiply by the item cost, resulting in a sales tax of about $2.09.
Luisa sells a stuffed elephant for $34.90 and needs to calculate the sales tax, which is 6% of the sale price. To find the sales tax, first convert the percent to a decimal by dividing by 100, which makes it 0.06. Then multiply the sale price by this decimal:
$34.90 x 0.06 = $2.094
Now, you need to round $2.094 to the nearest penny, which is $2.09. Therefore, the amount of sales tax on the stuffed elephant is approximately $2.09.
a chair is placed several feet from a fire in a fireplace the fireplace has a glass screen the side of the chair facing the fireplace gets warm because of conduction convection or radiation??? will give brainliest
The warmth felt by the chair facing the fireplace is primarily due to radiation, where heat from the fire emits infrared radiation that is subsequently absorbed by the chair surface.
Explanation:The side of the chair facing the fireplace gets warm primarily because of radiation. Radiation is the process whereby heat is transferred through electromagnetic waves. In this case, heat from the fire emits infrared radiation, which travels through the air until it strikes the surface of the chair and is absorbed, causing the chair to warm up.
In heat transfer, there are three main methods: conduction, convection, and radiation.
Conduction is the process whereby heat is transferred through direct contact of objects, while convection involves the movement of warm air or fluids. Conduction and convection play minor roles in this scenario -- conduction would occur if the chair were in contact with the warm air, and convection is mainly responsible for heat transfer within the air of the room.
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i will give brainliest to the best answer to this question: Each year, the Department of Water Works measures the chloride concentration level in the water. The first year, they found the chloride concentration changed by −135 mg/L . It is estimated that the chloride concentration will change −2115 mg/L the next year.
What is the total change that will likely occur in 2 years?
Enter your answer as a simplified mixed number in the box.
______mg/L
Answer:
The total change that will likely occur in 2 years is [tex]=-3\frac{2}{3}[/tex] mg/L
Step-by-step explanation:
Given : The first year, they found the chloride concentration changed by [tex]-1\frac{3}{5}[/tex] mg/L .
It is estimated that the chloride concentration will change [tex]-2\frac{1}{15}[/tex] mg/L the next year.
To find : What is the total change that will likely occur in 2 years?
Solution :
The chloride concentration changed by [tex]-1\frac{3}{5}=-\farc{8}{5}[/tex] mg/L in first year.
The chloride concentration will change [tex]-2\frac{1}{15}=-\frac{31}{15}[/tex] mg/L the next year.
The total change that will likely occur in 2 years is
[tex]=-\frac{8}{5}+(-\frac{31}{15})[/tex]
[tex]=\frac{-24-31}{15}[/tex]
[tex]=\frac{-55}{15}[/tex]
[tex]=\frac{-11}{3}[/tex]
In a mixed fraction - [tex]=-3\frac{2}{3}[/tex] mg/L
The answer is for sure Answer: - 3 2/3
the two goes on top of the three
Sarah converts the number 1,500,600 into scientific notation she writes 1.5006 x 10^4 which of the following statements is true?
A. Sarah is correct
B. Sarah is not correct because the exponent should be 6
C. Sarah is not correct because 1.5006 should be 1.5
D. Sarah is not correct because the exponent should be -4
Answer:
Option B. is the answer.
Step-by-step explanation:
Sarah converts the number 1500600 into scientific notation. She writes [tex]1.5006\times 10^{4}[/tex].
Therefore [tex]1.500600=1.5006\times 1000000=1.5006\times 10^{6}[/tex] is the correct representation.
Sarah should have written exponent as 6 in place of exponent 4.
Therefore Sarah is not correct.
Option B. is the correct option.
Adonica made snacks for her friends by putting equal amounts of trail mix into small bags. If she started with 3 4/5 cups of trail mix and put 3/4 cup into each bag, how many complete bags did she make?
Answer:
5 bags
Step-by-step explanation:
Given,
The total number of cups in trial mix = [tex]3\frac{4}{5}[/tex],
The number of cups in each bag = [tex]\frac{3}{4}[/tex]
So, the number of bags,
[tex]=\frac{\text{Total cups}}{\text{Cups in each }}[/tex]
[tex]=\frac{3\frac{4}{5}}{\frac{3}{4}}[/tex]
[tex]=\frac{\frac{19}{5}}{\frac{3}{4}}[/tex]
[tex]=\frac{76}{15}[/tex]
[tex]=5\frac{1}{15}[/tex]
Hence, 5 complete bags would made.
A marathon is 131 over 5 miles long. If for people divide up the distance equally, how many miles does each person need to run?
Answer:
6.55 miles to run
Step-by-step explanation:
A distance of marathon is = [tex]\frac{131}{5}[/tex] miles long.
or [tex]26\frac{1}{5}[/tex] miles
If four people divide up the distance equally.
To calculate the distance each person need to run we will divide [tex]\frac{131}{5}[/tex] by 4
= [tex]\frac{\frac{131}{5} }{4}[/tex]
= [tex]\frac{131}{5}[/tex] × [tex]\frac{1}{4}[/tex]
= [tex]\frac{131}{20}[/tex]
= [tex]6\frac{11}{20}[/tex]
= 6.55 miles
each 4 person need 6.55 miles to run.
What is 0.9 1/ 10th of
Which mixed number is equivalent to the improper fraction?
14/9
A. 1 5/9
B. 2 5/9
C. 2 4/9
D. 1 4/8
the deepest point in the Indian Ocean is Java trench which is 25344 Ft below sea level elevations below sea level are represented by negative numbers write the elevation of java Trench
Pedro buys 4 books at the fair for $7 each. Pedro hands the cashier 3 ten dollar bills. how much change would he receive? write an equation to solve. use c to represent the unknown.
The problem involves calculating the change received when Pedro buys four books at $7 each and pays with $30. The equation to solve this is c = $30 - $28. Therefore, Pedro receives $2 change.
Explanation:The subject of this question is a straightforward mathematics problem involving buying books and receiving change. We know that Pedro buys 4 books that each cost $7 and that he gives the cashier $30. To find out the change, represented as c , Pedro will get, we first figure out the total cost of the books: 4 books x $7 per book equals $28. Pedro pays with $30 so the calculation for the change would be: $30 (the amount Pedro paid) - $28 (the total cost of the books). This gives us the equation c = $30 - $28. Therefore, Pedro would receive $2 in change.
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Pedro buys 4 books for $28 and pays with $30, so he would receive $2 in change. The equation to represent this is: c = $30 - $28.
To calculate the change Pedro receives, we can set up an equation where c represents the unknown change. Pedro buys 4 books at $7 each, so the total cost of the books is 4 books x $7/book = $28. He hands the cashier 3 ten dollar bills, which equals $30. The equation to find the change is then:
c = $30 - $28
Solving this equation, we get:
c = $2
So, Pedro would receive $2 in change after buying the books.
Given 3x <9 Choose the solution set
Answer:
[tex]x<3[/tex] or [tex](-\infty,3)[/tex]
Step-by-step explanation:
We have been given an inequality [tex]3x<9[/tex]. We are asked to find the solution set for our given inequality.
We will divide both sides of our inequality by 3 to solve for x.
[tex]\frac{3x}{3}<\frac{9}{3}[/tex]
[tex]x<3[/tex]
Therefore, the solution for our given inequality will be all values of x less than 3, that is [tex](-\infty,3)[/tex] in interval notation.
In 1987, the population of the United States was approximately 2.44 x 108 people. The national debt of the United States in that year was approximately 2.50 x 1012 dollars. In scientific notation, how much debt is this per person?
A)
1.0246 x 10−4 dollars
B)
1.0246 x 1020 dollars
C)
1.0246 x 108 dollars
D)
1.0246 x 104 dollars
1.6 x 10^8)(5.8 x 10^6)
---------------------------
(4 x 10^6)
Expreesed in Scientific Notataion
Imagine you are drawing a comic strip showing how to solve the problem 72 divided into 4 to new 4th graders. Create a script to explain how you can keep dividing after getting a remainder of 3 tens in the first step
in the figure below line DE is parallel to line FG and transversal AG
Answer: The answer is 147° and 33°.
Step-by-step explanation: We are given a figure in which the line DE is parallel to the line FG and AG is a tranversal. We are to find the value of 'x' and 'y' from the figure.
Also, given that
∠ABE = (5y - 18)°.
We can see from the figure that ∠DBG and ∠ABE are vertically opposite angles, so they must be equal.
That is,
[tex]\angle DBG=\angle ABE\\\\\Rightarrow x=5y-18\\\\\Rightarrow 5y-x=18.~~~~~~~~~~~~~~~(i)[/tex]
Also, since ∠DBG and ∠FGB are interior angles on the same side of the transversal, so their sum is 180°.
That is
[tex]\angle DBG+\angle FGB=180^\circ\\\\\Rightarrow x+y=180.~~~~~~~~~~~~~~~~~(ii)[/tex]
Adding equations (i) and (ii), we get
[tex]y+5y=18+180\\\\\Rightarrow 6y=198\\\\\Rightarrow y=33,[/tex]
and from equation (ii), we get
[tex]x=180-33=147.[/tex]
Thus, x° = 147° and y° = 33°.
express this decimal as a fraction.
1.21212121.......
It says on the first three days of their trip,the Smiths drove 408 miles,347 miles,and 419 miles.Altogether how far did they drive in three days
Solve 3kx + 24 = 9kx for x.
A. x= 4/k
B. x= -2/k
C. x= 2/k
D. x= -4/k
Which is the simplified form of (2ab/a^-5 b^2)^-3?
Answer:
A on e2020/edge
Step-by-step explanation:
A number x divided by -9 is -16
MATH QUESTION IM WASTING POINTS HURRY PLEASE
What is the value of the expression? (−3)3+6^3/12 Enter your answer in the box.
(6^3/12 is a fraction) and (6^3 means 6*6*6)
if 8=2, 7=31 and ead=102,find 9
What is the y-intercept of the function f(x) = –x + ?
What is the range of the function on the graph?
The range of the given function from the given graph are: all values of y that are greater than or equal to -3.
What is the Range of a Function?Range of a function are plotted on the vertical axis (y-axis), and is the set of y-values in the function.
In the graph given, the y-values of the function on the y-axis are -3 and all values greater than -3.
Therefore, the range of the given function from the given graph are: all values of y that are greater than or equal to -3.
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What 2 facts can you double to find 8x4? Explain.