If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.
First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.
So let's assume that Loto begins at the point (0, 0).
Then:
He moves 8 yards east, to: (8yd, 0)He moves 6 yards north, to: (8yd, 6yd)He moves 12 yards east, to: (20yd, 6yd)He moves 5 yards north, to: (20yd, 11yd)So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd
So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:
[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]
So, if he could walk directly he would only walk 22.8 ft
The difference is:
33yd - 22.8yd = 10.2 yd.
He would walk 10.2 yards less if he could walk directly from the back door to the barn door.
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index notation simplify 4^9 x 4^3
Answer:
[tex]4^{12}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]
What is 0.459 roused to the nearest hundredth
Answer:
0.459
the 9 rounds the 5 up to a 6 so its 0.46
Answer:
The answer is 0.46
Step-by-step explanation:
The 9 is over 5, so you round up which bumps the 5 up to a 6. It could also be written as 0.460 but the extra 0 is unnecessary.
50 POINTS
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable to each box.
SOMEBODY PLZ HELP NO LINKS PLZ AN THANK YOU
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at he time. A line that models the data is given by the equation y=-1.62x + 18 where y represents the wait time and x represents the number of staff available. Use the equation to make a conjecture about the wait if there are 10 staff members available
A the wait time will be about 18 minutes
B the wait time will be about 5 minutes
C the wait time will be about - 2 minutes
D the wait time will be about 2 minutes
Answer:
im not too sure but B
Step-by-step explanation:
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below.
81 71 202 113 269 248 242
Find the median number of newspapers sold.
CE
O A. 242 newspapers
OB 175 newspapers
OC. 113 newspapers
OD. 202 newspapers
OD Step-by-step explanation:
The median of the of the number of newspapers sold by shopkeeper is 202 .
Given,
A store manager kept track of the number of newspapers sold each week over a seven-week period.
81 71 202 113 269 248 242.
Now,
The median of the dataset is the middle value of the dataset, which means that 50 % of the values are below the mean and 50% of the values are above the mean.
Rearrange the dataset in ascending order as
71, 81, 113, 202, 242, 248, 269.
Thus the median will be the 4th value.
Hence the median will be 202.
Thus the correct option will be 202 Newspapers.
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In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?
A local flower shop sells a dozen roses for $15.48 if each rose cost the same price how much would It cost per rose
a coffee mug collection includes four red mugs, eight yellow mugs and two white mugs. What is the probability of selecting two white mugs one after another?
Assuming that the selection process was done without replacement, the probability of selecting two white mugs without replacement is 1/28
Given dataSample Space
Red mugs = 4
yellow mugs = 8
white mugs = 2
Sample Size = 4+8+2 = 14
We are going to assume the selection was done with out replacement
Hence the probability of selecting the first white mug is
Pr(W1) = 2/8 = 1/4
The probability of selecting the second white mug is
Pr(W2) = 1/7
Hence the probability of selecting two white mugs one after another
= 1/4*1/7
=1/28
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ratio of boys to girls is 2:3 what is the ratio of boys of there are 6 girls
Answer:
4:6
Step-by-step explanation:
2 x
- = ----
3 6
6/3 = 2
2 x 2 = 4
Translate the phrase into a variable expression. Use the letter p to name the
variable. If necessary, use the asterisk (*) for multiplication and the slash
(7) for division
the total number of peanuts divided among 4 baseball fans
Answer:
p/4
Step-by-step explanation:
You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4
Answer: its p/10
Step-by-step explanation: i just did it
A rectangle that measures 10 inches by 7 inches.
Which expression will determine the perimeter, in inches, of the rectangle?
Answer:
( 2 x 10 ) + ( 2 x 7)
Step-by-step explanation:
Hope this helped!
Answer: 34 inches Perimeter = 2L + 2W
Step-by-step explanation:
A rectangle has two sets of equal side lengths. We'll assign 10 inches to the length, L, and 7 inches to the width, W.
The perimeter of a rectangle is 2L + 2W
Perimeter, P = 2(10) + 2*(7)
P = 20 + 14
P = 34 inches
What’s a rational number between -1/6 and 1/9
Answer:
LCM of 6 and 9 are 18
1/6 = 1×3/6×3
= 3/18
= 3×10/18×10
= 30/180
1/9 = 1×2/9×2
= 2/18
=2×10/18×10
= 20/180
therefore rational no.s between 1/6 & 1/9 are
21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180
Step-by-step explanation:
sorry if im wrong
Answer:
1/18.
Step-by-step explanation:
-1/6 = -3/18 and 1/9 = 2/18
so one rational number between these values is 1/18.
Part A: James bought a cake that weighs pounds. How many ounces does the cake weigh? Show your work. (5 points)
[16 ounces = 1 pound]
Part B: A running tap dispenses 0.15 gallons of water every second. How many pints of water is dispensed after 20 seconds? Show your work. (5 points)
[1 gallon = 4 quarts, 1 quart = 2 pints]
Question 4 options:
Answer:
For part a multiply the pound amount by 16. Your work would look something like this... (not actual answer) 10 pounds x 16= 160 ounces. So 10 pounds= 160 ounces!
For part B
0.15 gallons=1.2 pints
Example: .15 x 4= .6
.6 x 2= 1.2 pints
1.2 x 20 seconds= 24 pints!
Hope this helps
Step-by-step explanation:
:)
Answer:
Part A: 52 oz
Part B: 24 pints
Step-by-step explanation:
Part A:
Since 1 pound = 16 ounces, the number of ounces is 16 times the number of pounds. To convert pounds to ounces, multiply the pounds by 16.
3 1/4 lb × 16 oz/lb =
= 13/4 × 16 oz
= 13 × 4 oz
= 52 oz
Answer: 52 oz
Part B:
We need to convert from gallons to pints.
1 gallon = 4 quarts
1 quart = 2 pints
That means that 1 gallon = 8 pints.
0.15 gallon/second × 8 pints/gallon =
= 1.2 pints/second
The tap dispenses 1.2 pints/second.
Now we calculate the number of pints dispensed in 20 seconds.
1.2 pints/second × 20 seconds = 24 pints
Answer: 24 pints
Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three eighths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
Answer:
Option (C) is correct, the dimensions of the brand name television = 32 inches by 64 inches.
Step-by-step explanation:
Given : The generic version was based on the brand name and was three eighths the size of the brand name and both are similar.
The dimensions of the generic television set = 12 inches by 24 inches
Let the dimensions of brand name be x by y such that
three eighth of x=12 inches
and three eighth of y=24 inches
Therefore, the dimensions of the brand name television = 32 inches by 64 inches.
Hence option (C) is correct.
Help help help help math ASAP
Answer:that is 0.01541
Step-by-step explanation:
1. If you roll two fair dice, what is the probability that the sum of both rolls is 8?
Answer:
1/4
Step-by-step explanation:
Sample space = 12
Prob of sum = 8 is:
[2,6], [3,5]. [4,4]
That is 3/12 = 1/4
Morgan had 1/2 a box of candy left after the movie she ate 1/2 of that. On the way home and still had 8 pieces left. She give one to her Little brother. How many pieces of candy were in the box when Morgan bought it?
Answer:
16
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the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost
Answer:
0.75p=c
Step-by-step explanation:
Use the following table to answer the questions below. Give your probabilities as DECIMALS rounded to the hundredths place.
Fair Hair
Dark Hair
Blue Eyes
8
5
Other
7
10
Jamie investigated hair and eye color.
One of the people is chosen. Calculate the probability of choosing
a. Someone with Blue eyes
b. Someone with fair hair and blue eyes
A person with dark hair is chosen. Calculate the probability of
1. them having blue eyes.
2. them not having blue eyes
Answer: 1 =.43, 2=.26, 3=.16 4=.33
Step-by-step explanation: So to find all these answers we have to know the total number of people in the chart 30. Then we have to find what info we need from the chart and divide it by the total number of people. I hope this helped I tried to make it simple.
flying against the wind, an airplane travels 5220 kilometers in 9 hours. flying with the wind, the same plane travels 6560 kilometers in 8 hours. what is the rate of the plane in still air and what is the rate of the wind?
a.
The rate of the plane in still air is 700 km/h
Let V = rate of plane in still air and v = rate of wind.
When flying against the wind, an airplane travels 5220 kilometers in 9 hours, we have that since distance = speed × time
(V - v) × 9 = 5220
V - v = 5220/9
V - v = 580 (1)
Also, flying with the wind, the same plane travels 6560 kilometers in 8 hours, we have that since distance = speed × time
(V + v) × 8 = 6560
V + v = 6560/8
V + v = 820 (2)
Adding equations (1) and (2), we have
V - v = 580 (1)
+
V + v = 820 (2)
2V = 1400
V = 1400/2
V = 700 km/h
So, the rate of the plane in still air is 700 km/h.
b.
The rate of the wind is 120 km/h
Substituting V into (1), we have
V - v = 580 (1)
700 - v = 580
v = 700 - 580
v = 120 km/h
So, the rate of the wind is 120 km/h
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PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
about 5.1 units
Step-by-step explanation:
to find the length between two points you can use the pythaogorean theorem
5^2 + 1^2 = c^2
25 + 1 = c^2
26 = c^2
c is about 5.09901
rounding to the nearest tenth we get 5.1
Solve the equations below exactly. Give your answers in radians, and find all
possible values for t in the interval 0 (less than or equal to ) t (less than or equal to) 2 pi
If there is more than one
answer, enter your solutions in a comma separated list.
(a) sin (t) = - square root of 3 divide by 2
when t=
(b) cos (t) = 1/2
when t=
Answer:
See below (along with unit circle attached)
Step-by-step explanation:
[tex]sin(t)=-\frac{\sqrt{3}}{2}[/tex]
[tex]t=\frac{4\pi}{3},\frac{5\pi}{3}[/tex]
[tex]cos(t)=\frac{1}{2}[/tex]
[tex]t=\frac{\pi}{3},\frac{5\pi}{3}[/tex]
It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by [tex](cos(\theta),sin(\theta))[/tex] where [tex]\theta[/tex] is measured in radians.
Whats the solution(X-1)=5x+2
Answer:
X= - ¾ X= - 0.75
Step-by-step explanation:
thats all i can do hope it help :D
If any number in decimal numeration system is denoted by 723 then what is the value of the number in binary numeration system?
Answer:
723 -> 01011010011
Step-by-step explanation:
Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.
Answer:
Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]
= 3[tex]\frac{3}{8}[/tex]
Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9
= 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)
= [tex]\frac{3}{8}[/tex]
The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.
For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=
Answer:
y=48
Step-by-step explanation:
180-135=55-7=y=48
The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular roller coaster by the radical function v equals the square root of the quantity 2 times k over the 1,000 period If the velocity, v, of the roller coaster is 10 meters per second, what is the kinetic energy?
200,000 Joules
10,000 Joules
50,000 Joules
5,000 Joules
The kinetic energy of the roller coaster is 2000Joules
Given the formula for expressing the velocity of the roller coaster is given as:
[tex]v = \sqrt{\frac{2k}{1000} }[/tex]
Given the following parameter:
v = 10m/s
Substitute the given parameter into the formula to have:
[tex]10 = \sqrt{\frac{2k}{1000} }[/tex]
Square both sides of the equation:
[tex](10)^2=(\frac{2k}{1000} )^2\\100=\frac{4k^2}{1,000,000} \\4k^2=100,000.000\\k^2=\frac{100,000,000}{4} \\k^2=4,000,000\\k=2000Joules[/tex]
Hence the kinetic energy of the roller coaster is 2000Joules
Learn more on subject of formula here: https://brainly.com/question/657646
Answer:
You need to use √2k/1000 formula.
2000 joule is the correct answer.
Factor Completely. 2a(x+y)+b(x+y)
Let's simplify step-by-step.
2a(x+y)+b(x+y)
Distribute:
=(2a)(x)+(2a)(y)+(b)(x)+(b)(y)
=2ax+2ay+bx+by
Answer:=2ax+2ay+bx+byThe simplification of the expression is 2ax+2ay+bx+by.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
An algebraic equation is a statement of the equality of two expressions formulated by applying algebraic operations to a set of variables.
Given expression is 2a(x+y)+b(x+y). The expression will be solved as below,
E = 2a(x+y)+b(x+y)
Multiply the values in the whole bracket and simplify,
E = (2a)(x)+(2a)(y)+(b)(x)+(b)(y)
E = 2ax+2ay+bx+by
The simplified expression is given as 2ax+2ay+bx+by.
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The scale on a map is 2 in. =250 miles. If Toledo and Kansas City are 2.25 in. How far are they apart in real life?
Answer:
281.25 miles
Step-by-step explanation:
2=250
1=125
0.5=62.5
0.25=31.25
250+31.25=281.25
Customers at Musicland can buy 4 DVDs for $15. How many DVDs can April buy at Musicland with $75?
Answer:
20 I believe because 15 divided by 4 is 3.75 so I then divided 75 by 3.75 giving me 20:)