Seven years ago a man is three times older his son whose age is k years old presently. what will be the age of the man in p years time
Answers
The answer of the given question based on the man age is , 3K - 14 + p the age of the man in p years time will be 3 times older than his son's current age plus p years.
What is Equation?An equation is mathematical statement that shows that the two expressions are equal. It consists of the two sides separated by the equal sign (=). The expression on left side of equal sign is equal to expression on right side of the equal sign.
Equations have variables, constants, and mathematical operations, like addition, subtraction, multiplication, division, exponents, and roots. They are used to model and solve the wide range of real-world problems, from calculating the trajectory of a rocket to determining the optimal route for a delivery truck.
Let's first find the current age of the man, which is 7 years older than his age 7 years ago. Let M be the current age of the man and K be the current age of his son. Then we have:
M - 7 = 3(K - 7)
Simplifying this equation, we get:
M - 7 = 3K - 21
M = 3K - 14
Now, to find the age of the man in p years time, we simply add p to his current age:
Age of man in p years = M + p
= 3K - 14 + p
So, the age of the man in p years time will be 3 times older than his son's current age plus p years.
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Related Questions
|3y - 7| - 10 = -5 solve for y:
Answers
Answer: y=1.25
Step-by-step explanation:
First things first you have to find what is in the bracket things (i don’t know what it’s called) So 3 - 7 is -4y but since it’s absolute it’s going to be 4y.
So now you’ve got 4y - 10 = -5. Your going to want to eliminate 10 so, subtract 10 to both sides giving you 4y = -5
Lastly to get y by itself you need to divide it by its self so, 4y divided by 4. Do it to both sides. This gives you…
Y = 1.25
random variables, probability distributions and expected value
A community festival organizes a fundraiser for their local park. They sold 25,000 tickets at $20 each. The grand prize is $5,000. There are two prizes valued at $2,000, three prizes valued at $1,000, five prizes of $500, and ten prizes of $100. What is the expected value of this raffle? Round to the nearest cent. Do not round until the final calculation.
Answers
Answer:
-19.38
Step-by-step explanation:
E(x)=4,980*1/25000+1,980*2/25,000+980*3/25,000+480*5/25,000+80*10/25,000-20*24,979/25,000
E(x)=0.1992+0.1584+0.1176+0.096+0.032-19.9832
E(x)= -19.38
Use the following cell phone airport data speeds (Mbps) from a particular network. Find the percentile corresponding to the data speed 6.7 Mbps0.2
0.5
1.1
2.7 0.35.60.51.12.55.00.30.51.22.78.20.30.51.22.79.60.30.51.63.210.60.30.61.63.413.00.30.62.13.614.10.40.72.13.815.10.40.82.34.015.20.4l.O2.44.030.4
Answers
Answer:
The answer is "58th %".
Step-by-step explanation:
2.4 Mbps in the sort data set is the 30th data point. Therefore 29 numbers out of 50 are less than 2.4 Mbps.
\(=\frac{29}{50} = 0.58 =58\%\\\\\)
The X-th percent is just the same as x% below the percent and thus 2,4 Mpbs corresponds to a 58th percent.
Find the area of the Trapezoid below please!
Answers
Answer:
The area of the trapezoid is 54
Write a linear equation in point slope form with the given slope of 1/4 and passing through the point (8,-3)
Answers
Answer:
The equation is
y=1/4x-3
Answer:
y = 1/4x - 5
Step-by-step explanation:
If gradient or slope (m) equal to 1/4
then y - y¹ = m( x - x¹) ..........(1)
where the line happen to be passing through the point given above
therefore let x¹ be 8.........(2)
and y¹ be -3...............(3)
substitute (3) and (2) into (1)
we have y -(-3) = 1/4 (x - 8)
so 4(y+3)= (x-8)
4y = x - 8 - 12
therefore y = 1/4x - 5
find x and y please explain really well
Answers
Answer:
x=10,y=120
Step-by-step explanation:
3x-30=60 CDA
3x=30
x=10
again,
y+60=180 straight line
y = 120
If a decimal greater than 0 and less than 1 is
divided by a lesser decimal, would the quotient
always, never, or sometimes be less than 1
Answers
Answer:
the answer is "never less than 1"
hope that helps you out
have a blessed day
Petra jogs 2 miles in 22 minutes. At this rate, how long would it take her to jog 11 miles?
Petra would take ___ minutes to jog 11 miles.
Answers
Answer:
11 minute
Step-by-step explanation:
22 min/2 miles
11 min/ 1 mile
22 minutes ÷2=11 minutes for 1 mile
11 ×11=121 for 11 miles
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
Answers
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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What is the measure of angle AED?
Answers
Answer:
Step by step explanation:
well this is simble you just do it
What’s the absolute value of -3
Answers
Answer:
3
Step-by-step explanation:
absolute values can never be negative.
Answer:
the absolute value is 3
Step-by-step explanation:
Which function has a greater maximum?
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f(x)=−2(x+4)
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+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.
Answers
The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.
1. The given function is f(x) = \(-2(x+4)^2\) + 1.
2. To find the maximum of the function, we need to determine the vertex of the parabola.
3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.
4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.
5. The x-coordinate of the vertex is given by h = -4.
6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.
7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.
8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).
9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.
10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.
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A density graph for all of the possible times from 50 seconds to 200 seconds
can be used to find which of the following?
OA. The probability of a time from 150 seconds to 250 seconds
OB. The probability of a time from 75 seconds to 250 seconds
OC. The probability of a time from 75 seconds to 150 seconds
OD. The probability of a time from 25 seconds to 150 seconds
Answers
The Probability of a time from 25 seconds to 150 seconds
To determine which option can be found using the given density graph, we need to understand the concept of probability and how it relates to a density graph.
A density graph represents the probability distribution of a continuous random variable. The area under the density graph within a specific interval corresponds to the probability of the variable falling within that interval.
Let's analyze the given options one by one:
OA. The probability of a time from 150 seconds to 250 seconds.
To find this probability, we need to determine the area under the density graph between 150 seconds and 250 seconds. However, the given density graph only provides information from 50 seconds to 200 seconds, so we cannot accurately determine the probability for this interval. Therefore, option OA cannot be found using the given graph.
OB. The probability of a time from 75 seconds to 250 seconds.
Again, to find this probability, we need to calculate the area under the density graph between 75 seconds and 250 seconds. Since the given density graph only covers up to 200 seconds, we cannot accurately determine the probability for this interval. Thus, option OB cannot be found using the given graph.
OC. The probability of a time from 75 seconds to 150 seconds.
Now, we can determine the probability for this interval by calculating the area under the density graph between 75 seconds and 150 seconds. As long as this interval falls within the range covered by the graph (50 seconds to 200 seconds), we can accurately find the probability for it. Therefore, option OC can be determined using the given graph.
OD. The probability of a time from 25 seconds to 150 seconds.
Since the density graph only covers the range from 50 seconds to 200 seconds, we cannot determine the probability for an interval starting at 25 seconds. Therefore, option OD cannot be found using the given graph.
In conclusion, based on the information provided, option OC (the probability of a time from 75 seconds to 150 seconds) can be determined using the given density graph.
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help meeeeeee pleaseee !!!!
Answers
The linear equation parallel to y = 3x - 2 that passes through the point (4, 6) is:
y = 3*x - 6
How to find the equation of the parallel line?Here we want to find a linear equation parallel to:
y = 3x - 2
Now, a general linear equation is:
y = m*x + b
Where m is the slope and b is the y-intercept.
Remember that two lines are parallel if and only if the lines have the same slope and different y-intercept.
So our linear equation will be something like:
y = 3*x + c
Now we also want our line to pass through the point (4, 6), then we can replace these values:
6 = 3*4 + c
6 = 12 + c
6 - 12 = c
-6 = c
So the linear equation is:
y = 3*x - 6
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A rectangular field is ten times as long as it is wide. If the perimeter of the field is 1320 feet, what are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let w be the width of the field.
The equation is ___
(Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field.
The width of the field is ___ feet.
The length of the field is ___ feet.
Answers
The equation is P = 2 ( L + W )
The width of the field is 60 feet.
The length of the field is 600 feet.
Given,
A rectangular field is ten times as long as it is wide.
The perimeter of the field is 1320 feet.
What is the area of a rectangle?Area of rectangle = Length x wide.
Perimeter = 2 ( Length + width )
Let the length of the rectangle be L
Width = W
L = 10W
Perimeter + 2 ( L + W )
1320 = 2 ( 10W + W )
Divide it by 2 into both sides.
1320/2 = 2/2 x 11W
660 = 11W
Divide both sides by 11.
660/11 = 11/11 W
60 = W
W = 60 feet
L = 10W = 10 X 60 = 600 feet
L = 600 feet
Thus,
The equation is P = 2 ( L + W )
The width of the field is 60 feet.
The length of the field is 600 feet.
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how can I solve this?
Answers
Answer:
Do you ask G or H?I answered two G=34° ,H=34°
There are 39.37 inches in 1meter. Tell whether the statement is true or false
Answers
Answer:
False
Step-by-step explanation:
This is false because 1 meter has 36 inches.
Answer: True
Step-by-step explanation:
Meters Inches
1 m 39.37 in
2 m 78.74 in
3 m 118.11 in
4 m 157.48 in
Green Leaf Lawn Care had 64 customers under contract at the start of the year. The company's owner expects his new radio advertisements will attract 2 new customers every week.
If the radio commercials produce new customers exactly as the owner expects, which of these equations represents the number of customers (c) Green Leaf Lawn Care will have after w weeks?
Answers
Answer:
C. c = 64 + 2w
Step-by-step explanation:
You're starting with 64 customers and you're gaining 2 for each week.
good luck, i hope this helps :)
Answer:
C. 64 + 2w
Step-by-step explanation:
factorise fullythe following
7x^3-35x
4x^3+24x^2
Answers
\(7x(x^2-5)\)
Step-by-step explanation:
\(7x^3-35x\)
Factor Greatest Common Factors out
\(7x(x^2-5)\)
I hope this helps you
:)
What are the answers to these questions?
Answers
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88
prove if f is a function from [0,1] to r and f is continuous then there exists an x in [0,1] such that f(x)
Answers
If f is a function from [0,1] to R and f is continuous, then there exists an x in [0,1] such that f(x) = 0.
What is a function?
In mathematics, a function is a rule that assigns a unique output to each input in a set. A function is continuous if the output value changes smoothly as the input value changes, without any sudden jumps or breaks.
To prove that if f is a function from [0,1] to R and f is continuous, then there exists an x in [0,1] such that f(x) = 0, we can use the intermediate value theorem.
The intermediate value theorem states that if a function f is continuous on a closed interval [a,b], and if y is any value between f(a) and f(b), then there exists at least one x in the interval [a,b] such that f(x) = y.
In our case, f is a function from [0,1] to R, which is a closed interval, and f is continuous on this interval. Therefore, the intermediate value theorem applies to f.
To prove that there exists an x in [0,1] such that f(x) = 0, we can use the intermediate value theorem with y = 0. Since 0 is between f(0) and f(1), the intermediate value theorem guarantees that there exists at least one x in [0,1] such that f(x) = 0.
Hence, if f is a function from [0,1] to R and f is continuous, then there exists an x in [0,1] such that f(x) = 0.
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What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Factorise all of the questions.
Please answer a b c and d and please give an explanation on how to work each question out! It would really help ! It’s very urgent ty
Answers
Answer:
a.x (x + 1)
b. 3x (1 - 3x)
c. 7x (x² - 5)
d. 4x² (x + 6).
find the non permissible replacement for (x ^ 2 + 1)/(2x + 10)
Answers
Reason:
We cannot divide by zero. This means the denominator cannot equal zero. If it was zero, then,
2x+10 = 0
2x = -10
x = -10/2
x = -5
Follow that chain in reverse to see that x = -5 causes the denominator 2x+10 to be zero. This is why we kick -5 out of the domain. Any other x value is valid.
The house in relationship to its mortgage is considered
Answers
Answer:
collateral
Step-by-step explanation:
The house is collateral for the mortgage loan. Fail to pay the loan, and the collateral is repossessed. In the case of a mortgage this process is called foreclosure.
Find the equation of a straight line which passes through the point (3, 2) and is perpendicular to the line 3x + 5y =10. Hence, determine the gradient and y-intercept of the equation.
Answers
Answer:
Step-by-step explanation:
eq of line perpendicular to 3x+5y=10 is
5x-3y=a
where a is constant.
it passes through (3,2)
5(3)-3(2)=a
a=15-6=9
reqd. eq. is 5x-3y=9
or
3y=5x-9
y=5/3 x-3
gradient=5/3
y-intercept=-3
or
5y=-3x-10
y=-3/5 x-2
slope=-3/5
slope of reqd. line=-1/(-3/5)=5/3
eq. of line through (3,2) is
y-2=5/3(x-3)
3y-6=5x-15
3y=5x-15+6
3y=5x-9
y=5/3 x-3
y> 3x +3
1
yer - 2
트로
Answers
Answer:
Is this in a different language?
Step-by-step explanation:ok:)
find length of side (x)
Answers
Answer:
choice D) x = 6.6
Step-by-step explanation:
sin 27° = 3/x
0.4540 = 3/x
x = 6.6
Solve the equation and express each solution in a + bi form.
x - 7² – 8=0
Answers
Answer:
x + 57i
Step-by-step explanation:
x - 7² – 8=0
x -49-8
x - 57 = x + 57(-1) ; i = -1( complex number notation)
x + 57i
Question 4 of 10, Step 1 of 1
Correct
How much simple interest would be paid on a loan of $10,140 at 8 % for 5 months? Round your answer to nearest cent. assume 360 days in a year 30 days in a month
Answers
Answer:
338
Step-by-step explanation:
10,140x.08=811.20 annual interest
811.20/360 x 150(5 months)=338