The sum of the reciprocals of three consecutive integers is 47/60. What is the sum of the three integers

Answer:11/57

Step-by-step explanation:

Answer:

use math) way  (dot  com

Step-by-step explanation:

type it in on math) way  (dot  com

Answer:

19 / 20

Step-by-step explanation:

Amount of brownies left :

Pan 1 = 1/4

Pan 2 = 2 /12

Total fraction of brownies made = 1/1

Hence,

Fraction of brownies eaten from each pan :

Pan 1 :

1 - 1/4 = (4 - 1) = 3/4

Pan 2 :

1 - 2/12 = (12 - 2) = 10/12

Total fraction of brownies eaten :

Pan 1 + pan 2

3/4 + 2/10

(30 + 8) / 40

38 / 40

19 / 20

Hence, total fraction of brownies consumed = 19/20

Answer:

9/16

Step-by-step explanation:

here we have 1 in 4 parts

if we consider 1 as 16/16 and 1/2 as 8/16

and also the 3rd unit i mean 3/4 is 12/16

so it would be approximately right to say the point is showing somewhere about 9/16

Answer:

see attached

Step-by-step explanation:

Answer:

25 is the right not comform

To find the product of the mode and median of the set 8,3,1,7,3,4,8,3,4,9,5, we first need to find the mode and median of the set.

The mode is the number that appears most frequently in a data set. In this case, the number 3 appears three times in the set, which is more than any other number. So the mode of this set is 3.

The median is the middle value when a data set is ordered from least to greatest. To find the median, we first need to put the numbers in order: 1,3,3,3,4,4,5,7,8,8,9. Since there are an odd number of numbers in the set (11), the median is the middle number. In this case, the median is 4.

So the product of the mode and median of this set is 3 * 4 = 12.

Answer:

med = 3

mode = 4

product of mode and median = 12

Step-by-step explanation:

1) Rearrange terms 1,3,3,3,4,4,5,7,8,9

2) Multiply terms 4 x 3 = 12

a parabola with symmetry or mirror image across the x-axis, will be a horizontal parabola, namely one that opens either to the right or left.

a horizontal parabola will be a parabola whose independent variable is the "y", so it'll be an x(y) type of equation.

\(~~~~~~\textit{horizontal parabola vertex form} \\\\ x=a(y- k)^2+ h\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\supset}\qquad \stackrel{"a"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0 \end{cases}\implies x=a(y-0)^2+0\qquad \textit{we also know that} \begin{cases} x=5\\ y=6 \end{cases} \\\\\\ 5=a(6-0)^2 +0\implies 5=36a\implies \cfrac{5}{36}=a~\hfill \boxed{x=\cfrac{5}{36}y^2}\)

Answer:

-(x-193)

Step-by-step explanation:

Factor the polynomial.

Hope this helps. Plz give brainliest.

The value of y is 15 and angle is 68°

A triangle is a polygon with three edges and three vertices.

Given that, a triangle KLM

We have, KL = MK

We know that, In a triangle, sides opposite to equal angles are equal, therefore,

∠ M ≅ ∠ L

5y-19 = 56

5y = 75

y = 15

We know, Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠ M + ∠ L + ∠ K = 180°

56° + 56° + ∠ K = 180°

∠ K = 180° - 112°

∠ K = 68°

Hence, the answers are; ∠ K = 68° and y = 15

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Answer:

distributive property is in the middle going straight up (read it going from the bottom up)

Answer:

Total is 3

Step-by-step explanation:

AI-generated answer

Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.

Let the original number of marbles be x.

John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:

1/4 x = the number of marbles John has left

If we solve for x, we get:

4/1 * 1/4 x = 4/1 * the number of marbles John has left

x = 4 * the number of marbles John has left

Now we know that John had 4 times the number of marbles he has left.

Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.

We can express this as:

1/2 x = the number of marbles in the new bag

To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:

Total number of marbles = the number of marbles John has left + the number of marbles in the new bag

Total number of marbles = 1/4 x + 1/2 x

Total number of marbles = (1/4 + 1/2) x

Total number of marbles = (3/4) x

We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:

Total number of marbles = (3/4) * 4 * the number of marbles John has left

Total number of marbles = 3 * the number of marbles John has left

Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.

Tell me in the commets if you didn't understand a word or something in the equation. :)

Answer:

Step-by-step explanation:

From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;

sinC = opp/hyp = 15/17

opposite = 15

hypotenuse = 17

According to pythagoras theorem;

hyp² = opp²+adj²

17² = 15² + adj²

adj²= 17²-15²

adj = √64

adj = 8

Since cosC = adj/hyp

cosC = 8/17

The ratio of cos is 8/17

the loan's future value or the total amount due at time t is $23,300 if the loan is borrowed at a simple interest rate of 5.5% for a period of 3 years.

The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. P = $20,000, r = 5.5%

The formula for calculating the future value of a simple interest loan is:

FV = P(1 + rt)

where FV represents the future value, P is the principal, r is the interest rate, and t is the time in years. Therefore, using the given values: P = $20,000 and r = 5.5% (or 0.055) and the fact that no time is given, we cannot determine the exact future value.

However, we can find the future value for different periods of time. For example, if the time period is 3 years:

FV = $20,000(1 + 0.055 × 3) = $20,000(1.165) = $23,300

Therefore, the loan's future value or the total amount due at time t is $23,300 if the loan is borrowed at a simple interest rate of 5.5% for a period of 3 years.

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Trica's survey of students in her computer class about their computer usage may not support a valid inference regarding the time spent on computers by students in her entire school.

The survey results may lack validity due to several reasons. First, the sample size may be limited to only Trica's computer class, which could introduce selection bias and make it unrepresentative of the entire school population. Representativeness is crucial for generalizing the findings to the broader student body accurately.

Second, the self-reported nature of the survey introduces the potential for self-reporting bias, where students may provide inaccurate or exaggerated information about their computer usage.

This could lead to unreliable results and inaccurate inferences. Additionally, the survey design and measurement techniques might not be rigorous enough to capture a comprehensive understanding of computer usage, lacking standardization and reliable measurement tools.

To obtain valid inferences, it would be necessary to employ random sampling techniques to ensure representativeness, include students from various classes or grades, verify the accuracy of reported data through cross-referencing or observation, and utilize validated measurement instruments.

By addressing these limitations, Trica can enhance the validity of the survey results and make more robust inferences about the time spent on computers by students in her school.

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Answer:  

2.6 as a fraction is 2 3/5. When you read the decimal 2.6, it is read as ''2 and 6 tenths. '' This can also be written as a mixed number of 2 6/10.

Step-by-step explanation:

Answer:

I won't be able to answer your qeustion if I can't see your problem, ur picture is all black.

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Distance = Rate * Time

If we replace these with the numbers in the problem and use "t" as the variable, it becomes:

30 miles = 15 mph * t

Now, to solve:

30 = 15t

divide both sides by 15

t = 2

add the units

time = 2 hours

The value of x, which represents the cost of each carton of ink is $63.

Let's break down the given information:

The subscription fee for the printer ink service is $230.

The company paid a total of $1364, which includes the subscription fee.

The company purchased 18 cartons of ink.

To find the value of x, we need to determine the cost of the ink cartridges alone, excluding the subscription fee. We can subtract the subscription fee from the total payment to get the cost of the ink:

Total payment - Subscription fee = Cost of ink cartridges

$1364 - $230 = $1134

Now, we divide the cost of the ink cartridges by the number of cartridges to find the cost per cartridge:

Cost of ink cartridges / Number of cartridges = Cost per cartridge

$1134 / 18 = $63

Therefore, the value of x, which represents the cost of each carton of ink, is $63.

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Answer:

\( \infty \)

Step-by-step explanation:

If you meant infinity, that is the answer, I think you should elaborate on the question

The values are:b = -2i - j + 6k, 2a = 2i + 10j - 8k, 3b = -6i - 3j + 18k, |a| = sqrt(42), |a - b| = sqrt(145).



To find the values of b, 2a, 3b, |a|, and |a - b|, substitute the given values of a and b into the equations.

Given:a = i + 5j - 4k

b = -2i - j + 6k

1. b:

Substituting the values of b:b = -2i - j + 6k

2. 2a:

Multiply each component of a by 2:2a = 2(i + 5j - 4k)

  = 2i + 10j - 8k

3. 3b:

Multiply each component of b by 3:3b = 3(-2i - j + 6k)

  = -6i - 3j + 18k

4. |a|:

Calculate the magnitude of a using the formula:|a| = sqrt((i)^2 + (5j)^2 + (-4k)^2)

   = sqrt(1 + 25 + 16)

   = sqrt(42)

5. |a - b|:

Calculate the magnitude of the vector (a - b):|a - b| = |(i + 5j - 4k) - (-2i - j + 6k)|

        = |3i + 6j - 10k|

        = sqrt((3)^2 + (6)^2 + (-10)^2)

        = sqrt(9 + 36 + 100)

        = sqrt(145)

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By plot in graph, we get Y=6 and x=-1 is perpendicular lines.

Parallel lines are lines in a plane that are always the same distance apart and never intersect. They are coplanar lines that do not intersect each other, and they have the same slope.

Perpendicular lines are lines that intersect at a right angle (90 degrees). In other words, they are lines that are at a 90-degree angle to each other. The slope of perpendicular lines are opposite reciprocals of each other, meaning that if one line has a slope of m, the other line will have a slope of -1/m.

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Answer:

its no solutions

Step-by-step explanation:

because u solve the 1st varibles in one of the equations,then subsitute the results into the other equations

Answer:

37.68

Step-by-step explanation:

use the formula pi(3.14)r^2 h/3

false. range of \( \cos^{-1}(x)\) is $[0,\pi]$

Answer:

The multiplicity of the root is 1

Step-by-step explanation:

Firstly, we need to understand what multiplicity is

By multiplicity, we simply refer to the number of times we have the certain root repeating itself

From the factorization, each of the given roots were only repeated once

That indicates that the given multiplicity is 1

The solution to the inequality x/3 ≤ -6 is x ≤ -18. This means that any value of x that is less than or equal to -18 will satisfy the inequality.

To solve the inequality x/3 ≤ -6, we can start by multiplying both sides by 3, since the inequality sign does not change direction when we multiply or divide by a positive number:

x/3 ≤ -6

3 * (x/3) ≤ 3 * (-6)

x ≤ -18

Therefore, the solution to the inequality x/3 ≤ -6 is x ≤ -18. This means that any value of x that is less than or equal to -18 will satisfy the inequality.

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Answer:

x = -35

Step-by-step explanation:

-8/5x = 56

Start by multiplying both sides by 5 to get rid of the fraction. That will leave you with:

-8x = 280

You can then divide both sides by -8 and then you'll get x = -35

Answer:

x=-35

Step-by-step explanation:

-8/5x is gonna be -1.6x and you divide 56 by -1.6x and get x=-35

Answer:

Step-by-step explanation:

To calculate the annual interest rate compounded annually that the company needs to invest to reach the desired redemption amount of $12,890 in 2 years, considering they already have $9,000 set aside, we can use the formula for compound interest:

A = P(1 + r)^n

Where:

A = Final amount (desired redemption amount + amount set aside) = $12,890 + $9,000 = $21,890

P = Principal amount (amount set aside) = $9,000

r = Annual interest rate (compounded annually)

n = Number of years = 2

Substituting the values into the formula, we can solve for the annual interest rate (r):

$21,890 = $9,000(1 + r)^2

Dividing both sides by $9,000:

2.4322 = (1 + r)^2

Taking the square root of both sides:

√2.4322 = 1 + r

Simplifying:

1.5596 = 1 + r

Subtracting 1 from both sides:

r = 0.5596

Multiplying by 100 to convert to a percentage:

r ≈ 55.96%

Therefore, the company needs to invest at an annual interest rate of approximately 55.96% (compounded annually) to be able to redeem the bonds in 2 years, considering they already have $9,000 set aside.

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