The length of the line segment MN given that the ratio of KL:LM:MN = 2:3:1 is; 9
How to carry out partitioning of line segment?
We are told that the points K, L, M and N all lie on the same line segment.
Since the points lie on the same line segment, then it means that they are collinear points.
We are told that the ratio of the segments, KL:LM:MN = 2:3:1.
This means that we can find the length of MN since we are also given the total length of the whole segment, KN = 54.
Length of MN = (Individual ratio of MN ÷ the total ratio value of the 3 given segments) × length of the whole segment
Individual ratio of MN = 1
Total ratio value of the 3 given segments = 2 + 3 + 1 = 6
Length of whole segment, KN = 54
Length of MN = (1/6) * 54
Length of MN = 9
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What is an equation of the line that passes through the points (-2,7) and (-8,4)
Answer: y = (1/2)x + 8
Step-by-step explanation:
Slope: (4-7)/(-8--2) = (-3)/(-6) = 1/2
y = (1/2)x + b
7 = (1/2)-2 + b
7 = -1 + b
8 = b
y = (1/2)x + 8
Keilantra read 16 1/2 pages in 3/4 of an hour. If she continues reading at the same rate, how many pages will she read in an hour?
Answer: Around 40 pages
Step-by-step explanation: Im not sure if this is the answer but from what I can do this would be the answer
Answer:
she will read 22 pages :)
Step-by-step explanation:
Convert 3/4 of an hour into minutes - 60 x 3/4 = 45so kellantra is reading 16.5 pages every 45 minutes kellantra has 15 minutes left before an hour has passed, so divide 16.5 by 3 to work how how much she reads in 1/4 of an hour 16.5/3 = 5.5 pages per 1/4 houradd your values: 16.5 + 5.5 = 22 pages!each week, between $30$ and $50$ students show up for an archery class run by betty and wilma. usually the students break up into groups of equal size for target practice. however, this week, betty noticed that she could not break the students up into multiple groups of equal size. wilma noticed that if she and betty both joined the students in practicing, they still could not break the archers up into groups of equal size. how many students showed up to the archery class this week?
This week 41 students showed up to the archery class that cannot be broken into multiple groups of equal sizes.
Prime numbers are numbers that cannot be divisible by any other numbers besides 1 and itself. Between 30 and 50, there are 4 prime numbers, which are 31, 37, 41, and 43. So, these prime numbers cannot be divided into equal sizes of multiple groups. But by adding 2 (If Betty and Wilma join the students) in 31, 37, and 43 we get composite numbers that can be divided into multiple groups of equal sizes.
So, 41 students showed up to the archery class this week and as 41 is a prime number, Betty and Wilma could not break the archers up into groups of equal size, and even if Betty and Wilma joined the students there will be 43 archers which even is a prime number and thus cannot be divided.
41 is the only possible number of students between 30 and 50 which cannot be broken into groups of equal sizes even if Betty and Wilma join the archers.
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in order to estimate the proportion of all credit card holders who pay their credit card bills in full each month a credit counseling bureau took a random sample of 450 credit card holders and found that 127 pay all their credit card bills in full each month. a 99% confidence interval for the proportion of all credit card holders who pay all their credit card bills in full each month is:
A 99% confidence interval for the proportion of all credit card holders who pay all their credit card bills in full each month is 0.282 + 0.055.
Define confidence interval.Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications. The sample is used to calculate the confidence interval, which represents the range of likely population parameters. In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.
Given,
Number of credit card holders
n = 450
x = 127
p = 127/450
Proportion:
p = 0.2822
99% confidence interval:
C I = 0.2822 ± 2.576 × 0.2122
CI = 0.2822 ± 0.05465
CI = 0.282 + 0.055
A 99% confidence interval for the proportion of all credit card holders who pay all their credit card bills in full each month is 0.282 + 0.055.
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This shows a figure.
What is the measure of angle n?
65\degree65°
70\degree70°
110\degree110°
115\degree115°
To find the value of n we first have to find the value of angle m. because we know the sum of angle m and angle n would be equal to 180 degrees as they both lie on a straight line. to find angle m we have to use the angle sum property of a triangle which says the sum of all the internal angles of a triangle is equal to 180 degrees.
so using the angle sum property,
65+45+m = 180
m= 180-65-45
m=70
now we know m is 70 degrees
for n,
m+n = 180 -(i)
putting m=70 in equation (i)
70 + n = 180
n = 180-70 = 110 degree
How long is long? Please help I need to know
Answer:
it depends on how long long is
The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 44 minutes of calls is $22.96, and the remaining credit after 68 minutes of calls is $19.12. What is the remaining credit after 81 minutes of calls?Calling Time In MinutesRemaining Credit In Dollars$
The remaining credit after 81 minutes of calls is $17.04.
Given that, the remaining credit after 44 minutes of calls is $22.96, and the remaining credit after 68 minutes of calls is $19.12.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Let x be the number of minutes and y be the number of dollars.
According to question, the ordered pair is
(44, 22.96) and (68, 19.12)
The point slope form is (y-y1)=m(x-x1)
Slope = (y2-y1)/(x2-x1)
= (19.12-22.96)/(68-44)
= -3.84/24
m= -0.16
Put m= -0.16 and (x1, y1)=(44, 22.96), we get
(y-22.96)=-0.16(x-44)
When x=81
y-22.96=-0.16(81-44)
⇒ y-22.96=-0.16×37
⇒ y-22.96=-0.16×37
⇒ y-22.96=-5.92
⇒ y=-5.92+22.96
⇒ y=17.04
Therefore, the remaining credit after 81 minutes of calls is $17.04.
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what is the mean of 10,4,2,4
Answer:
5
Step-by-step explanation:
10+4+2+4=20
20/4=5
The mean is five.
Answer:
Mean = 5
Step-by-step explanation:
Mean = ( Sum of Data Points ) / ( Number of Data Points )
Sum of Data Points = 10 + 4 + 2 + 4 = 20
Number of Data Points = 4
Mean = 20 / 4 = 5
Glad to Help
A person invests 4500 dollars in a bank. the bank pays 7% interest compounded annually. to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14900 dollars?
Answer:
A = Ao * (1+ i)^n amount Ao invested for n yrs at i/yr
14900 = 4500 (1.07)^n
3.311 = (1.07)^n
log 3.311 = n log 1.07 = n* .0294
n = log 3.311 / .0294 = .52 / .0294 = 17.6 yrs
Check:
Money will double about very 70 / 7 = 10 yrs
At 10 yrs around 9000 return
At 20 yrs 18,000 return - result appears reasonable
standard automobile license plates in a country display 3 numbers, followed by 2 letters, followed by 2 numbers. how many different standard plates are possible in this system? (assume repetitions of letters and numbers are allowed.) there are different standard plates possible in this system.
The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
Define the term permutation?The number of potential arrangements for a given set is assessed mathematical terms, but this procedure is referred to as permutation. The arrangement's order is essential when using permutations.For the stated data;
Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.
There are total 9 digits (0 - 9).
There are total 26 letter (A - Z)
Repetitions of letters and numbers given allowed.
Thus, numbers and the letters ca be arranged as;
1st place = 9 ways.
2nd place = 9 ways.
3nd place = 9 ways.
4th place = 26 ways.
6th place = 26 ways.
7th place = 9 ways.
8th place = 9 ways.
Total ways = 9×9×9×26×26×9×9
Total ways = 39917124
Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.
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a lottery consists of selecting 5 numbers out of 45 numbers. you win $10 if exactly three of your 5 numbers are matched to the winning numbers chosen. what is the probability of winning the $10? round your answer to six decimal places.
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-,
first number: 1/25 chance because we only want 1 out of the 25 possibilities.Second number: 1/24 because 1 number was already taken out.Third: 1/23Fourth: 1/22Fifth: 1/21Sixth: 1/20The chance of all of these events happening right after another is 1/25 x 1/24 x 1/23 x 1/22 x 1/21 x 1/20 = 1/127512000, or about 1 in a hundred million.learn more about probability click here:
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help meeeeee pls bro
Line g has an equation of y= 1 3 x–1. Parallel to line g is line h, which passes through the point (10,2). What is the equation of line h?
need answer ASAP
Wyatt made a scale drawing of a picnic area near the river. The picnic area, which is 84 yards long in real life, is 231 inches long in the drawing. What scale did Wyatt use?
The scale that Wyatt has made use of based on the figures in the question is 1 inch to 0.36 yards.
What is a scale in mathematics?Building construction would be extremely challenging without a blueprint. You'd be lost without a map! Large objects, such as roads and buildings, can be easily visualized on paper using scale drawings. Scale drawings are even used by a GPS
The scale that Wyatt has used for this drawing is given as:
84 / 231 = 0.36
We would say that for every 1 inch, Wyatt made use of 0.36yards.
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PLEASE HELP ME EASY 8TH GRADE MATH!!!!
Answer: The probability is 3 out of 20
Step-by-step explanation:
nine out of ten student prefer math class over lunch. how many student do not prefer math if 200student were asked
Answer:
Step-by-step explanation:
20? lol
Graph this line using the slope and y-intercept: y= 1/5x + 8
The graph of this line using the slope and y-intercept: y= 1/5x + 8 is attached below.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
According to the given information line using the slope and y-intercept is; y= 1/5x + 8
thus, the slope of this line is:
m = 1/5
And its y-intercept is: c= 8
The graph of this line using the slope and y-intercept: y= 1/5x + 8 is attached below.
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Find the diagonal of a rectangle with sides 7 in and 24 in
You can use the hypotenuse formula, e.g., from the Pythagorean theorem calculator, to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w², and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √ (l² + w²).
so what is 9/4 divided by 6/5
Answer:
45/20
Step-by-step explanation:
Answer:
9/4 divided by 6/5 is 15/8
Step-by-step explanation:
9/4 ÷ 6/5 turns into 9/4 × 5/6 which is the reciprocal
9/4 × 5/6 = 45/24
Divide the numerator and denominator by 3 to get 15/8
15/8 is in its simplest form
Here is a rectangle.
5 cm
7 cm
5 cm
7 cm
The 6-sided shape is made from two of these rectangles.
Work out the perimeter of this 6-sided shape.
The perimeter of the rectangle is = 48cm
What is permeter of rectangle?The overall length of the outline determines a shape's perimeter in two dimensions. We add the lengths of all four corners of a rectangle to find its perimeter. Since the opposite sides of a rectangle are always equal, we must determine the length and width of the rectangle in order to determine its perimeter. The rectangle's perimeter can be expressed as the product of its length and width times two. As a linear measurement, the perimeter can be expressed in meters, centimeters, inches, feet, etc.Acc to our question-
area: 7x5 cm, or 357cm + 7cm + 5cm + 5cm = 24simply add two rectanglesarea35+area35:area70perimeter24+perimeter24:perimeter48Hence,The perimeter of the rectangle is = 48cm.
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help me please ! correct answer gets brainliest
The expressions that show the distance between P and Q are option (d) |-6| + (-2) and option (e) 6 - 2
From the given number line
The distance between P and Q = 4 units
Now we have to solve each expression
Expression 1
|-6| + |-2| = 6 +2
Add the terms
= 8
Expression 2
|2-(-6)| = | 2 + 6|
= |8|
= 8
Expression 3
|-2| - (-6) = 2 + 6
Add the terms
= 8
Expression 4
|-6| + (-2) = 6 - 2
Subtract the term
= 4
Expression 5
6 - 2 = 4
Hence, the expressions that show the distance between -6 and -2 are option (d) |-6| + (-2) and option (e) 6 - 2
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6.2 X ( -2.7) thats the qeustion
Answer:
Hi !!!
Step-by-step explanation:
6.2×(-2.7)
=-16.74
= -1.674×10¹
rate as brainliest
Need help please look at picture
Answer:
the three dots represent 'therefore'
Step-by-step explanation:
as shown in picture uploaded ^^
how many ways are there to put $4$ balls into $3$ boxes, given that the balls are not distinguished and neither are the boxes?
Answer:
Step-by-step explanation:
think that there are 15 ways ... call the boxes A, B, and C.
You could put all four b***s into either box A, or box B, or box C ---> 3 ways.
You could put three ball into one box and the other ball into another box:
-- 3 into A, 1 into B, 0 into C; or 3 into A, 0 into B, 1 into C; or 1 into A, 3 into B, 0 into C; or 1 into A, 0 into B, 3 into C; or 0 into A, 3 into B, 1 into C; or 0 into A, 1 into B, 3 into C ---> 6 ways
You could put two balls into one box and the other two balls into another box:
-- 2 into A, 2 into B, 0 into C; or 2 into A, 0 into B, 2 into C; or 0 into A, 2 into B, 2 into C ---> 3 ways.
You could put two b***s into one box and one ball into each of the other two boxes:
-- There are three boxes that could get the two b***s ---> 3 ways
Total: 3 + 6 + 3 + 3 = 15 ways.
Find the geometric mean between 2 and 19. Write your answer in radical form or round to the nearest tenth, if
necessary.
Answer: 6.2
Step-by-step explanation:
Geometric Mean = √( 2 x 19 ) = 2√38 = 6.1644
the price of a 2 liter bottle of sprite holds 67.6 oz and costs $3.38. what is the unit price per oz
The unit of price per oz = 114.2
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.We are aware of the quantity of apples and the amount of money in the aforesaid problem.According to our question-
the price of a 2 liter bottle of sprite holds 67.6 oz
and costs $3.38.
2 = 67.6
67.6/2= 33.8
33.8*3.38= 114.24
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A: 10:00 am a truck started traveling from point A with a speed of 40mph. 3 hours
and 10 minutes later a car started to drive from point A in the same direction
with an
average speed of 60mph. At what time will the car catch up with
the truck?
Answer:h
Step-by-step explanation:
ihlug
A car originally is worth $3000. It is decreasing in value by 3% every year. How much is it worth in 3 years.
(Round to the nearest cent)
Answer:
$2825,32
Step-by-step explanation:
Value of the car after 1 year
$3000 * 3% = 3000 * 0.03 = 90
3000 - 90 = $2910
Value of the car after 2 year
$2910 * 3% = 2910 * 0.03 = 87.3
2910 - 87.3 = $2912,7
Value of the car after 3 year
$2912,7 * 3% = 2912,7 * 0.03 = 87.381
2912,7 - 87.381 = $2825,319
"Round to the nearest cent"
$2825,32
While shopping with her husband (see practice e), Mrs. Garantua
bought 2 garden hoses (one to use as a neclace and the other to
use a leash for her pet whatchamacallit) and 2 giant flowerpots
(both to use as summer hats). If the hoses cost $30 each, and
the bill for all the items (hoses and flowerpots combined) was
$96, how much did each flowerpot cost?
Answer:
$18
Step-by-step explanation:
She bought 2 garden hoses which both cost $30, so she already spent $60. The subtract 60 from 90, and get $36 left. Divide that by 2 because she buys 2 flower pots, and you arrive at the answer of $18 per flower pot.
Lat week, Lia old 20 hand-engraved watch band, earning a total profit of $105. 0. She plan to make 50 engraved watch band to ell at the community art fair. If he ell all 50 watch band, how much profit can Lia expect to earn?
$
If Lisa sells 50 watch bands, she gets a profit of $262.50.
A unitary method is defined.
Mathematicians use the unitary method to solve problems by first determining the value of a single unit, or 1, (by dividing), and then determining the necessary value by multiplying the value of the single unit.
We must first ascertain the cost of one watch band.
To determine this, we simply divide $105 by 20, which equals $5.25.
We can divide $5.25 by 50 because she sells all 50 watchbands.
50 multiplied by $5.25 equals $262.50.
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