Given that :
The route to the campsite is 28 cm on the drawing.
The scale on the drawing is 1:300
To find,
The actual length of the route.
Solution,
Let the actual length of the route be x.
Here, map distance : actual distance = 1: 300
[tex]\dfrac{1}{300}=\dfrac{28}{x}\\\\x=28\times 300\\\\x=8400\ cm[/tex]
So, the actual length of the route is 8400 cm.
Bo, Ryan and Zach walked 1/4 miles from school to Bo’s house. They walked 4/6 miles from Bo's House to the park what is the total distance the boys walk?
Answer: They walked 11/12 miles
Step-by-step explanation:
1/4 + 4/6
3/12 + 8/12
11/12
Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $149.37.
Cost of shoes $29.95
Markup: 20%
What is the new cost?
New cost = original price x (1 + markup)
New cost = 29.95 x ( 1 + 0.20)
New cost = $35.94
All you need the photo
The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is
(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2
… = ((-64 + 80 + 4) - 4) / 2
… = 16 / 2
… = 8
h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.
Xinran walks 3 mi/h uphill, 4 mi/h on flat land and 5 mi/h downhill. If he walks one mile uphill, then one mile on flat land and then returns by the same route to his starting point, how many minutes does he walk?
Given :
Xinran walks 3 mi/h uphill, 4 mi/h on flat land and 5 mi/h downhill.
To Find :
If he walks one mile uphill, then one mile on flat land and then returns by the same route to his starting point, how many minutes does he walk.
Solution :
Time taken to walk one mile uphill is :
[tex]t_1 = \dfrac{1}{3}\ hours[/tex]
Time taken to walk two mile on flat land( one on going and one or returning ) is :
[tex]t_2 = \dfrac{2}{4}\ hours\\\\ t_2 = \dfrac{1}{2}\ hours[/tex]
Time taken to walk one mile downhill is :
[tex]t_3 = \dfrac{1}{5}\ hours[/tex]
Total time taken :
[tex]T = t_1 + t_2 + t_3 \\\\T = \dfrac{1}{3} + \dfrac{1}{2}+\dfrac{1}{5}\\\\T = \dfrac{10 + 15 + 6}{30} \\\\T = \dfrac{31}{30}\ hours = \dfrac{31}{30}\times 60 \ minutes\\\\T = 62\ minutes[/tex]
Therefore, time taken un 62 minutes.
Why?
3. At what point on the curve x3 – y2 + x2 = 0 is the tangent line vertical?
(A) (0,0) only
(B)
(-1,0) only
(C) (1, sqrt2) only
(-1,0) and (0,0)
(E)
The tangent line is never vertical.
Write the ratio 21 wins to 9 losses as a faction in simplest form.
Answer: 7/3
Step-by-step explanation:
Divide both by 3
21/ 3 = 7
9 / 3 = 3
You get 7/3. Hope that helps!
Can someone help me
With this ? Thanks so much
Answer:
The 2nd one should be right
Step-by-step explanation:
prove me wrong
you play tennis against a player that you have a 20% chance of winning. what is the probability g
Question:
You play tennis against a player that you have a 20% chance of winning. What is the probability that you win no game out of 6 games?
Answer:
[tex]Probability = 0.262144[/tex]
Step-by-step explanation:
Represent the probability of winning with P(Win)
[tex]P(Win) = 20\%[/tex]
Required
Determine the probability of not winning 6 games
First, we calculate the probability of not winning a game.
Opposite probability add up to 1.
So, we have:
[tex]P(Win) + P(Lose) = 1[/tex]
[tex]P(Lose) = 1 - P(Win)[/tex]
[tex]P(Lose) = 1 - 20\%[/tex]
[tex]P(Lose) = 100\% - 20\%[/tex]
[tex]P(Lose) = 80\%[/tex]
The sample space of losing 6 games is:
Lose Lose Lose Lose Lose Lose
Therefore, the probability is:
[tex]Probability = 80\% *80\% *80\% *80\% *80\% *80\%[/tex]
[tex]Probability = 0.80*0.80*0.80*0.80*0.80*0.80[/tex]
[tex]Probability = 0.262144[/tex]
A right cone has a radius of 13 cm and a slant height of 20 cm. Find its surface area.
Question 12 options:
A)
10,618.6 cm2
B)
816.8 cm2
C)
1,347.7 cm2
D)
3,539.5 cm2
Answer:
[tex]A=1347.7\ cm^2[/tex]
Step-by-step explanation:
Given that,
Radius of a cone, r = 13 cm
Slant height of the cone, l = 20 cm
We need to find the surface area of the cone. The formula for the surface area of the cone is given by :
[tex]A=\pi rl +\pi r^2[/tex]
Put all the values,
[tex]A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2[/tex]
So, the surface area of the cone is [tex]1347.7\ cm^2[/tex].
Convert 8% to a fraction/mixed number and a decimal. Select all that apply.
Answer:
hope this helps :)
Step-by-step explanation:
Decimal - 0.008
Simplifed fraction -- 2/25
Answer:
[tex]8\% = \frac{2}{25} in \: fraction \\ 8\% = \frac{8}{100} = 0.08 \: in \: decimal[/tex]
Solve the equation using mental math
1
+
= 6
11
12
4
01
35
48
052
w
WINWIN
06
072
6
Two hoses are used to fill a swimming pool. Together they fill the pool at a rate of 3 gallons every 5 seconds. An equation representing this isg=35t,where t is the time in seconds and g is the number of gallons. About how many hours will it take to fill the pool if it holds 80,000 gallons?
Answer:
about 267 hours
Step-by-step explanation:
9,660 ÷ 23 = equation
Answer:
9660÷23 = 420 your answer is 420
what is 14/100 as decimal need answers asap!!!
Answer:
0.14 is the answer as it is out of 100
Step-by-step explanation:
14/100
/100 as a decimal= 0.00
14/100 = 0.14
3 fifths equals how many 20
Answer:
12
Step-by-step explanation:
20/5 = 4
4 x 3= 12
3/5 of 20 is 12.
This is because 3/5*20/1=60/5 which reduces to 12.
100 points for the answer
Answer:
83 in.^2
Step-by-step explanation:
The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.
The total are is the sum of the area of the rectangle and the two triangles.
area = area of rectangle + area of first triangle + area of second triangle
area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)
area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2
area = 40 in.^2 + 28 in.^2 + 15 in.^2
area = 83 in.^2
Answer: C
Step-by-step explanation:
At the bowling alley, there are 25 people bowling. There is a 60% increase in bowlers the next night. How many people are bowling on the second night?
Answer:
There would be 40 people bowling on the second night.
Step-by-step explanation:
25 x .60 = 15
60% of 25 is 15.
25 + 15 = 40
Answer:
40
Step-by-step explanation:
g Which statement is correct? Group of answer choices A sample size of 1 is never acceptable. Judgment sampling is preferred to systematic sampling. Cluster sampling is useful when strata characteristics are unknown. Sampling without replacement introduces bias in our estimates of parameters.
Answer:
A sample size of 1 is never acceptable
Explanation:
A sample size of 1 is simply not statistically significant enough as to reach close to accurate conclusions based on sample data. Statistical tests using just one data point may not be enough to test data variability. Axrule of thumb or best practice is to have at least 10% sample size from the population. It is advised to have at least a sample size of 100 sayvpopulation is 1000 to be able to reach more valid conclusions from sample data.
What is an equation of the line that passes through the point (-6,-8)(−6,−8) and is parallel to the line x-2y=6x−2y=6?
Answer:
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope
−
1
2
and a given point
(
0
,
0
)
to substitute for
x
1
and
y
1
in the point-slope form
y
−
y
1
=
m
(
x
−
x
1
)
, which is derived from the slope equation
m
=
y
2
−
y
1
x
2
−
x
1
.
Step-by-step explanation:
You have to read 36 pages for your history class tonight. If you read 1 page every two minutes, how long will it take you to read the assigned pages?
Answer:
72 minutes or 1 hour and 12 minutes
Step-by-step explanation:
36(2)=72
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I do not know... I'm sorry...
A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees responding, 60 percent answered "yes" to a certain yes-no question and 72 employees did not answer that question. How many employees answered "no" to this question?
Answer:
720 employees
Step-by-step explanation:
Number of responded employees = 90% of 2000 employees = 1800 employees
Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.
Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)
y = 2x + 1
y = -2x + 1
y = -2x - 0.5
y = 2x - 0.5
have you seen how he answers questions? doesn't deserve to have people answer his
Step-by-step explanation:
Cooper invested $1,100 in an account paying an interest rate of
3.8% compounded daily. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the
account after 10 years?
Help plzzzxx!!
Answer:
$1608.48
Step-by-step explanation:
A = P(1 + r/n)^nt
P: 1100 3: 3.8% / year n: 365/year t: 10 years
A = 1100 (1 + 0.038/365)³⁶⁵*¹⁰ = 1608.48
The price of a pair of shoes increases from $55 to $72. What is the percent increase to the nearest percent?
The percent increase is
%.
Answer: 55, 720
This is the answer. No doubt about it
Let y be the number of dollars that Jon has and let x be the number of dollars Steve has. The graph shows the relationship between how much money they each have, as Jon pays Steve
The [tex]y[/tex] and [tex]x[/tex] axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, [tex]y=6+x[/tex] is the pictorial representation.
What are type and graph?A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).
What purposes do graphs serve?A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.
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Kim has a bag with 4 blue marble, 4 black marble, 7 orange marbles, 2 red marbles, 6 yellow marbles, and 1 pink marble.
P(pink OR red)?
A. 12.5%
B. 0.89
C. 1 1/4
Can You please help me
Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays. During one week she worked 36 regular hours plus 8 holiday hours.
The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays.
Then the amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be
⇒ $14.62 x 36 + $14.62 x 2 x 8
⇒ $526.32 + $233.92
⇒ $760.24
The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.
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