Answer:
32.5 miles
Step-by-step explanation:
We can convert 52 km to miles using the given estimation.
To convert 52 km to miles, create a proportion where x is how many miles are in 52 km:
[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{52}[/tex]
Cross multiply and solve for x
8x = 260
x = 32.5
So, in 52 km, there are approximately 32.5 miles
52 km is approximately equal to 32.5 miles.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
If we are given the estimation that 5 miles is approximately 8 km, we can use this ratio to convert 52 km to miles.
Let's set up a proportion:
5 miles / 8 km = x miles / 52 km
Cross-multiplying, we get:
5 miles × 52 km = 8 km × x miles
260 miles = 8x
To solve for x, divide both sides of the equation by 8:
260 miles / 8 = x
x ≈ 32.5 miles
Therefore, 52 km is approximately equal to 32.5 miles.
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Ricardo is 30 years old. He plan to retire when he is 60. He has opened a retirement account that pays 3,5% interest compounded monthly. If he makes monthly
deposits of $400, how much will he have in the account by the time he retires?
9514 1404 393
Answer:
$254,165
Step-by-step explanation:
Assuming payments are made to the account at the end of the month, the balance is the sum of a geometric series with first term 400 and common ratio (1+0.035/12). The sum of 360 payments will be ...
400((1+0.035/12)^360 -1)/(0.035/12) ≈ $254,165
Ricardo will have about $254,165 in his retirement account after 30 years.
Which function has an asymptote at x = pi?
A. y=sec x
B. y=tan x
C. y=csc x
D. y=cos x
Answer:
C. y = csc x
Step-by-step explanation:
--------------------
Answer:
y=sec x
Step-by-step explanation:
this is the correct answer, i put in the other persons answer and got it wrong
A hurricane blows onto the East Coast of the United States on September 16, 2017. The maximum sustained wind speed is 176 kilometers (109 miles) per hour and the sea level height is pushed 2.3 meters (7.5 feet) above normal. What category is this hurricane
This hurricane would be classified as a Category 2 hurricane on the Saffir-Simpson Hurricane Wind Scale.
What hurricane classification is this?This hurricane would be classified as a Category 3 hurricane. The Saffir-Simpson Hurricane Wind Scale is used to classify hurricanes based on their maximum sustained wind speeds.Category 3 hurricanes have wind speeds between 178 and 209 kilometers (111 and 130 miles) per hour.The maximum sustained wind speed of this hurricane is 176 kilometers (109 miles) per hour, which is below the threshold for Category 4 hurricanes, but still within the range of Category 3 hurricanes. The storm surge is also a major factor in the classification of hurricanes. Storm surges are caused by the winds of a hurricane pushing the water of the ocean up onto the coast.This hurricane has a storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale does not take into account the height of storm surges. Therefore, this hurricane would be classified as a Category 3 hurricane due to its maximum sustained wind speed of 176 kilometers (109 miles) per hour and the storm surge of 2.3 meters (7.5 feet).The Saffir-Simpson Hurricane Wind Scale is a useful tool for measuring the severity of a hurricane and can help to prepare people in its path.To learn more about the Saffir-Simpson Hurricane Wind Scale refer to:
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Question content area top
Part 1
A computer store buys a computer system at a cost of $. The selling price was first at , but then the store advertised a markdown on the system. Answer parts a and b.
Question content area bottom
Part 1
a. Find the current sale price.
The sale price is $
enter your response here.
(Round to the nearest cent as needed.)
Part 2
b. Members of the store's loyalty club get an additional % off their computer purchases. How much do club members pay for the computer with their discount?
The price for club members is $
enter your response here.
(Round to the nearest cent as needed.)
a. The current sale price for the computer system is given as follows: $618.4.
b. The amount paid by the club members, with the discount, is given as follows: $587.48.
How to obtain the prices?The prices are found applying the proportions, which are the decimal equivalent of the percentages relative to each discount.
The selling price is of:
$773.
The markdown is of 20%, hence the current sale price is 100 - 20 = 80% of the selling price, hence:
0.8 x 773 = $618.4.
Club members get an additional discount, of 5%, meaning that they pay 95% of $618.4, and the amount is obtained as follows:
0.95 x 618.4 = $587.48.
Missing InformationThe problem is given by the image presented at the end of the answer.
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Given the circle below with chords NO and PQ. Find the length of OR. Round to the nearest tenth if necessary.
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
Circle – what is it?A moving point on a plane is followed so that its distance from a specific point remains constant to produce the circular form known as a circle. The English term circle derives from the Greek word kirkos, which meaning hoop or ring. Area of circle= πr²
Here,
For each secant, the sum of the lengths from R to the circle's intersection points is the same:
=>RS*RT = RQ*RP
=>40(40 +31) = (44)(PQ +44)
=>40(71)/44 = PQ +44
=>PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11
=>PQ ≈ 20.5
Therefore , the solution of the given problem of circle comes out to be PQ length is 20.5 units.
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Select the correct image.
Barry wants to host an event at a hotel that has four conference rooms. Each conference room has a maximum capacity of 150 people, but the
hotel limits the capacity to 1 person for every 4 square feet.
Sketches of the four conference rooms are shown below. Which room will stop Barry from hosting the event at the hotel?
25 ft
24 ft
28 ft
28 ft
The room that would stop Barry from hosting the event is the semicircular room.
Which room has a capacity that is less than 1 person per 4 square feet?Would the first rectangular room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a rectangle = length x width
25 x 30 = 750 feet²
Number of people per square foot - 750 / 150 = 1 person for every 5 feet
Would the trapezoidal room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a trapezoid = 1/2 x (sum of parallel sides) x height
1/2 x (24 + 36) x 28 = 840 feet²
Number of people per square foot = 840 / 150 = 1 person for every 5.6 feet
Would the square room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a square = length x width
28 x 28 = 784 feet²
Number of people per square foot - 784 / 150 = 1 person for every 5.2 feet
Would the semi circular room allow Barry have the meeting?
The first step is to determine the area of the room
Area of a semicircle = 1/2πr²
Where:
r = 3.14
r = radius = diameter / 2 = 28 / 2 = 14 feet
1/2 x 3.14 x 14² = 307.72 feet²
Number of people per square foot - 307.72/ 150 = 1 person for every 2.05 feet
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Answer:
The semicircle
Step-by-step explanation:
ewomazinoade's answer is correct, not sure why at time of writing the rating is so low for their answer (3.7).
See pic!
If 8n + 25 = 65, then n is
a. 5.
648.
less than
of 45 is
b. 10.
C. 40.
8n + 25 = 65
8n = 65 - 25
8n = 40
8n/ 8 =40/8
n = 5..
firstly I made 8n the subject of the formula by taking 25 to the other side which gives u 8n = 65 - 25and the reason why the sign changed chnged os because when send a number to the other side the sign changes and then i divided both sides by 8
Paul took a 140 mile trip on his motorcycle. If he drove 60% of his trip on the first day, how many miles did Paul drive on day one? Answer value
Answer:
84 miles
Step-by-step explanation: 140/100 x 60 which gives you 84 miles
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 x 12 x 20 = 1920/2 = 960 cm^2
hope this helped
answer= 960
Step-by-step explanation:
1/2y+3.2y=20 need some help, not very good with functions :/ asap tho pls-
Answer:
hopefully this will help you on your journey!
Which answer choice correctly identifies the extraneous information in the problem?
Anna babysat 2 children on Saturday night. She charges $8 an hour to babysit. She wants to save the money she earns babysitting to buy a stereo system that cost $225. If Nina babysat for 5 hours, how much money did she earn?
A. She charges $8 an hour and babysat for 5 hours.
B. She babysat 2 children on Saturday night and she wants to buy a stereo system that costs $225.
C. She babysat 2 children on Saturday night and she charges $8 an hour to babysit.
D. She wants to save the money she earns babysitting to buy a stereo system that costs $225 and she babysat for 5 hours.
Answer: B
explanation: I took the test ^w^
If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that Anna babysat 2 children on Saturday night.
She charges $8 an hour to babysit
She wants to save the money she earns babysitting to buy a stereo system that cost $225
If Nina babysat for 5 hours, then we need to find how much money money did she earn.
8/225=5/x
Apply cross multiplication
8x=225(5)
8x=1125
x=1125/8
x=140.6=141
Hence, If Nina babysat for 5 hours, then she earn 141 of money and option B choice correctly identifies the extraneous information in the problem
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What is the value of 2/21 - 1/3
1. -5/21
2. 1/18
3. 5/21
4. 3/7
Whoever helps gets 15 points
Find the lengths of the diagonals of rectangle WXYZ
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.
A rectangle is a four-sided geometric shape where opposite sides are parallel and congruent. The diagonals of a rectangle are two lines that connect the opposite corners of the rectangle, and they bisect each other at 90 degrees.
Briefly defined, what is rectangle?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Given the sides of rectangle WXYZ are WY = 14x + 10 and XZ = 11x + 22. We can find the length of the diagonals using the Pythagorean Theorem.
The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the diagonal of the rectangle) is equal to the sum of the squares of the other two sides (the sides of rectangle)
Diagonal WX: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)
Diagonal YZ: √(14x+10)^2 + (11x+22)^2 = √(196x^2 + 456x + 100 + 121x^2 + 484x + 484) = √(317x^2 + 940x + 584)
So, the lengths of the diagonals of rectangle WXYZ are √(317x^2 + 940x + 584) units.
Note that the diagonals of a rectangle are congruent and the value of x is not a known, the diagonal of rectangle is the value of the square root of the expression.
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Answer: 66
Step-by-step explanation:
I skipped it to see the answer hope this helps
Someone help me pleaseeee
Answer:
1/5
Step-by-step explanation:
formula is y = kx
k is the constant of proportionality
when x is 5 y is 1
when x is 10 y is 2
so 1 = k * 5
so k = 1/5
one more than 4 times a number is 14
Answer:
13 / 4 ( or ) 3.25
Step-by-step explanation:
Let the number be x.
4 times a number means,
4 ( x ) = 4x
One more than 4 times a number means,
4x + 1
One more than 4 times a number is 14,
4x + 1 = 14
4x = 14 - 1
4x = 13
x = 13 / 4
( or )
x = 3.25
Therefore, the number is 13 / 4 ( or ) 3.25
Eric went for a drive in his new car. He drove for 182.4 miles at a speed for 57 miles per hour. For how many hours did he drive?
Answer:
3.2 hours
Step-by-step explanation:
182.4÷57=3.2
time divided by speed equals time
Roxanne is comparing the monthly payments for a new car at two different car dealerships.
Dealership A: The car costs $30,000, and the loan has an annual interest rate of 4.8%.
Dealership B: The car costs $29,800, and the loan has an annual interest rate of 5.4%.
Use the formula to determine the monthly payment for each dealership.
Assume that both interest rates are compounded monthly, there is no down payment, and each loan is for 60 months.
9514 1404 393
Answer:
A: $563.39
B: $567.84
Step-by-step explanation:
The attached shows the formula. The graphing calculator evaluates it for the different car choices.
The monthly payment for the car from Dealership A is $563.39.
The monthly payment for the car from Dealership B is $567.84.
When Souta went to Sweden, 1 Swedish krona was worth about 0. 12 US
dollar. He took d dollars on the trip. Which equation could be used to find
the value in Swedish krona, k, of the dollars?
A
k = 0. 12d
B
d
k=
0. 12
с
0. 12
k=
d
D k= 1. 12d
If 1 Swedish krona was worth 0.12 US dollar , and if he took d dollars for the trip then the equation that is used to find the value in Swedish krona (k) of the dollars is option (a) [tex]k = 0.12\times d[/tex] .
The value of 1 Swedish krona is = 0.12 US dollar ,
the number of dollar that Souta took on the trip is = d dollars ;
we have to find the equation that can be used to find the equation in Swedish krona "k" of the dollars ,
According to the question ,
the equation for Swedish krona can be represented as [tex]k = 0.12\times d[/tex] ;
Therefore , the required equation is [tex]k = 0.12\times d[/tex] .
The given question is incomplete , the complete question is
When Souta went to Sweden, 1 Swedish krona was worth about 0.12 US dollar. He took d dollars on the trip. Which equation could be used to find the value in Swedish krona, k, of the dollars ?
(a) k = 0.12d
(b) dk = 0.12
(с) 0.12k = d
(d) k = 1.12d
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NEED HELPP QUICK NO LINKS PLEASE!!
Answer:
May be only relation 3 is the function.
What are the worst and best time complexity and the best and worst time input given to sort a set of elements using bubble sort?
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
what is algorithm ?A mathematical algorithm is a process that describes a series of steps that can be used to accomplish a mathematical computation. A typical illustration of a mathematical algorithm would be the step-by-step process used in long division. Integral calculus and differential calculus are the two varieties of calculus. These fields work together to let you calculate rate of change, a crucial component of many algorithms and programs. Particularly crucial are differential equations.
given
With a temporal complexity of O(n2) in the average and worst circumstances, and O(n) in the best case, Bubble Sort is a simple, reliable sorting algorithm.
The outer loop, in the worst case, executes O(n) times.
Therefore, bubble sort's worst-case time complexity is O(n x n) = O(n x n) (n2).
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Please help ASAP will give 5 stars and brainliest if possible!!
answer
the dot will be shaded and the line goes to the positive part because x is more than or equal to 3
please help me with math!! :(
Answer:
addition property of equality
Step-by-step explanation:
On the cone below, the length of Line C B is 6 inches. A cone. C D is the diameter, C B is the radius, and A B is the height. What is the length of the diameter of the cone? 3 inches 6 inches 12 inches 24 inches
Answer:
12 inchesStep-by-step explanation:
Find the diagram attached;
Given the length of the line CD as 6inches.
Note that line CD is the base radius of the cone;
Since radius = Diameter/2
CD = diameter/2
6 = diameter/2
Diameter = 6 * 2
Diameter = 12 inches
Hence the length of the diameter of the cone is 12 inches
Answer:
12
Step-by-step explanation:
Can someone plz help me I would appreciate it, thanks?!
Answer:
Hey I’m a friend of Carson’s, do u know what Ari‘s acc name is?
Step-by-step explanation:
Answer:
hi thanks for the question
Step-by-step explanation:
Quadrilateral ABCD below is reflected about line m. After the reflection, how is the perimeter of A'B'C'D' related to the perimeter of ABCD?
Quadrilateral ABCD below is rotated 180°. After the rotation, how is the area of A'B'C'D' related to the area of ABCD?
Reflection and rotation will not alter the perimeter of the quadrilateral
What is transformation?
Transformation is a term used in mathematics to refer to the movements made by objects.
Transformations has basically classifications
non rigid transformationRigid transformationNon rigid transformation are the transformation where the dimension or size of the object will be different going from preimage to the image, example is dilation
In rigid transformation, the dimensions of the object is maintained or not altered through out the transformation process. instance of rigid transformations are
rotationreflectiontranslationBecause the transformation used are all rigid transformations then all the sides will remain same and the perimeter conserved
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A new social media site is increasing its user base by approximately 5% per month. If the site currently has 27,870 users, what will be the approximate user base be 6 months from now?
Answer:
37,349
Step-by-step explanation:
month 1
27870 x .05 = 1394
27870 + 1394 = 29264
month 2
29264 x .05 = 1463
29264 + 1463 = 30727
month 3
30727 × .05 = 1536
30727 + 1536 = 32263
month 4
32263 x .05 = 1613
32263 + 1613 = 33876
month 5
33876 x .05 = 1694
33876 + 1694 = 35570
month 6
35570 x .05 = 1779
35570 + 1779 = 37349
Answer:
35,570
Step-by-step explanation:
solution 1 - Multiply by 5%, 6 times. Easter to calculate without a calculator, long process.
1. 27870*1.05= 29,263.5
2. 29263.5*1.05=30726.675
3.repeat
4.repeat
5.repeat
6.repeat
if it's hard for you to multiply by 1.05, you can always divide by 20 or divide by 10 then by 2 (like the below)
1. 27870÷10= 2,787
2. 2787÷2= 1393.5
3. 27870+1393.5 = 29263.5
solution 2 -Fast but probably needs a calculator
1. 27870*1.05^(5)= 35570
1.05 = monthly increase
power of 5 = ^(5) = 6 months - 1 = 5
In the diagram below, what is the value of x rounded to the nearest whole number? If necessary, round your answer to the nearest tenth of a unit. 17 с х D 10 24 O A. 24 O B. 17 O O C. 7 O D. 12
Answer:
12
Step-by-step explanation:
There is no specific work, but this is assuming that the triangles are cut in the middle equally, and 24/2 = 12
Which of the following statements are true about line segments?
Which of the following statements are true about line segments
Answer: that connect two endpoints
A boat moving at a constant rate will travel 26 miles in 2 hours. If the boat maintains this rate, how many miles will the boat travel in 5 hours?
Given:
A boat moving at a constant rate will travel 26 miles in 2 hours.
To find:
The distance that will the boat travel in 5 hours.
Solution:
It is given that,
The distance traveled by the boat in 2 hours = 26 miles
The distance traveled by the boat in 1 hour = [tex]\dfrac{26}{2}[/tex] miles
= [tex]13[/tex] miles
The distance traveled by the boat in 5 hour = [tex]5\times 13[/tex] miles
= [tex]65[/tex] miles
Therefore, the boat will travel 65 miles in 5 hours.
what is the y intercept
Answer:
-1
Step-by-step explanation
-1 is where the line intersects the y-axis