It takes Paul 9 hours longer than Li Ming to paint a house. Working together they can do the job in 20 hours. How long would it take Li Ming, working alone, to paint the house ?

Answers

Answer 1

Li Ming can paint the whole house in 10 hours


Related Questions

explain the meaning of 3^1/4 * 3^1/4 * 3^1/4 * 3^1/4 = 3 in terms of fractional exponents or radicals

Answers

The answer, based on the information provided, fractional exponents will be 3.

What are some exponent fundamentals?

A product in which the same integer is used repeatedly as a factor is represented by a number elevated to a power. The exponent provides the power, and the integer is referred to as the base. The exponent indicates the number of factors, while the base is the repeating factor (the multiplied number).

What is the initial exponents rule?

That number will be the outcome! One of the simplest exponent laws is this one. You'll see that this rule doesn't merely apply to numerical data. We might, for example, elevate a statistic to the initial power.

Briefing:

[tex]=3^{\frac{1}{4} }\times3^{\frac{1}{4} }\times3^{\frac{1}{4} }\times3^{\frac{1}{4} }\\=3^{\frac{1}{4}+{\frac{1}{4}+{\frac{1}{4}+{\frac{1}{4}\\\\=3^{1} \\=3[/tex]

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Courtney would like to estimate the net worth of all people in the US. The distribution of net worth of people in the
US is strongly skewed to the right. Courtney selects an SRS of size n = 15 from this population and calculates the
sample mean. What is the shape of the distribution of the sample mean for all possible simple random samples of
size 15 from this population?

Answers

The distribution of the sample mean for all possible simple random samples of size 15 from the population of net worth in the US will be approximately normal, with a mean of μ and a standard deviation of σ/√15.

Courtney's estimate of the net worth of all people in the US is strongly skewed to the right. This means that the majority of the population has a net worth that is lower than the average net worth. When Courtney selects an SRS of size n = 15 from this population and calculates the sample mean, the shape of the distribution of the sample mean for all possible simple random samples of size 15 from this population will be approximately normal.

The Central Limit Theorem states that if a population has a mean of μ and a standard deviation of σ, then the sampling distribution of the sample mean will be approximately normal, no matter what the shape of the population distribution is, as long as the sample size is large enough. Since Courtney's sample size of 15 is large enough, the sampling distribution of the sample mean will be approximately normal.

The sample mean will have a mean of μ, which is the population mean, and a standard deviation of σ/√n, where n is the sample size. Since Courtney's sample size is 15, the standard deviation of the sample mean will be σ/√15. This means that the sample mean will be normally distributed with a mean of μ and a standard deviation of σ/√15.

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A natural number is choosen at random from the 100 natural number. what is the probability that number so chosen is devisible by 3?​

Answers

Answer:

33/100

Step-by-step explanation:

The 100 natural numbers are from 1-100.

In order to find the total numbers divisible by 3, divide 100 by 3:

100/3 = 33.33

Put 33.33 into integer form:

33.33 ==> 33 numbers divisible by 3.

Divide 33 by 100 to get the probability: 33/100

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(x + 10)(3x² + 5x - 2)

Answers

To expand the expression (x + 10)(3x² + 5x - 2), we can use the distributive property, which states that for any numbers a, b, and c, the product (a + b)(c) can be written as a * c + b * c. Applying this property to the given expression, we get (x + 10)(3x² + 5x - 2) = (x * 3x² + 10 * 3x²) + (x * 5x + 10 * 5x) + (x * -2 + 10 * -2) = 3x³ + 30x² + 5x² + 50x - 2x - 20. Combining like terms, we get 3x³ + 35x² + 51x - 20. Thus, the expanded form of the expression (x + 10)(3x² + 5x - 2) is 3x³ + 35x² + 51x - 20.

6 Bob is flying to Croatia for a holiday. When he gets to the airport, he discovers that they
hove a new pricing system for luggage. 2 items of hand luggage plus 1 item to go in the hold
costs £86. 1 item of hand luggage and a piece of luggage to go in the hold costs £66. How
much does it cost to put an item of luggage in the hold?
DP BOOT

Answers

Answer:

  £46

Step-by-step explanation:

You want to know the cost of luggage in the hold when 2 in the hand and 1 in the hold is £86, and 1 in the hand and 1 in the hold is £66.

Relations

Let 'a' and 'b' represent the costs of a piece of hand luggage and one in the hold, respectively. Then the given relations are ...

  2a +b = 86

  a +b = 66

Solution

Subtracting the first equation from twice the second gives ...

  2(a +b) -(2a +b) = 2(66) -(86)

  b = 46 . . . . . . . simplify

It costs £46 to put an item of luggage in the hold.

Find the linearization of f(x) = √ x at a = 4

Answers

Answer:

Step-by-step explanation:

To find the linearization of the function f(x) = sqrt(x) at x = a, we can use the linearization formula:

f(x) ≈ f(a) + f'(a) (x - a)

To use this formula, we first need to find the value of f(a) and f'(a). At x = a = 4, the value of f(x) is f(4) = sqrt(4) = 2. The derivative of f(x) is f'(x) = 1/(2 * sqrt(x)), so the value of f'(a) is f'(4) = 1/(2 * sqrt(4)) = 1/4.

Substituting these values into the linearization formula, we get:

f(x) ≈ 2 + 1/4 (x - 4)

This is the linearization of f(x) = sqrt(x) at x = 4. It is an approximation of the function f(x) that is valid for values of x that are close to 4.

Simplify using order of operations.

5³+28 /7-1

Answers

Answer:

128

Step-by-step explanation:

DO the "E"

  125 + 28/7   -1    do the  division next

  125  +   4     - 1     now do the + or -  or both

     128

Compute the following and write in the form x+iy :

[tex]\frac{1+2i}{3-4i} + \frac{2-i}{5i}[/tex]

Answers

Answer:

[tex] \Large{\boxed{\sf \dfrac{1 + 2i}{3 - 4i} + \dfrac{2 - i}{5i } = - \dfrac{2}{5}}} [/tex]

[tex] \\ [/tex]

Explanation:

Given sum:

[tex] \sf \: \dfrac{1+2i}{3-4i} + \dfrac{2-i}{5i}[/tex]

[tex] \\ [/tex]

We can simplify the sum only if the denominators of the two fractions are the same. Since they are different, we have to multiply the numerator and the denominator of each fraction by the denominator of the other one.

[tex] \sf \: \dfrac{1+2i}{3-4i} + \dfrac{2-i}{5i} = \dfrac{5i(1 + 2i)}{5i(3 - 4i)} + \dfrac{(3 - 4i)(2 - i)}{(3 - 4i)5i} \\ \\ \\ \sf \: = \dfrac{5i + 10 {i}^{2} }{15i - 20 {i}^{2} } + \dfrac{6 - 3i - 8i + 4 {i}^{2} }{15i - 20 {i}^{2} } [/tex]

[tex] \\ [/tex]

Replace i² with -1:

[tex] \sf \dfrac{5i + 10 {i}^{2} }{15i - 20 {i}^{2} } + \dfrac{6 - 3i - 8i + 4 {i}^{2} }{15i - 20 {i}^{2} } \: \\ \\ \\ \\ \sf \: = \dfrac{5i + 10( - 1)}{15i - 20( - 1)} + \dfrac{ 6 - 11i + 4( - 1)}{15i - 20( - 1)} \\ \\ \\ \\ \sf = \dfrac{5i - 10}{20 + 15i} + \dfrac{2 - 11i}{20 + 15i} [/tex]

[tex] \\ [/tex]

Simplify the expression:

[tex] \sf = \dfrac{5i - 10}{20 + 15i} + \dfrac{2 - 11i}{20 + 15i} \\ \\ \\ \\ \sf \: = \dfrac{5i - 10 + 2 - 11i}{ 20 + 15i} = \sf \dfrac{ - 8 - 6i}{20 + 15i}[/tex]

[tex] \\ [/tex]

To write our solution in the x + iy form, also known as the algebraic form, we have to understand what the conjugate of a complex number is.

[tex] \textsf{Let z be our complex number, and} \: \overline{\sf z} \: \textsf{its conjugate.} [/tex]

[tex] \\ [/tex]

The conjugate of z, [tex] \overline{ \sf z}, [/tex] is the complex number formed of the same real part as z but of the opposite imaginary part.

Since x is the real part of z, and y is its imaginary part, this can be expressed as:

[tex] \sf If \: z = x + iy \:, then \: \overline{ \sf z} = x - iy [/tex]

[tex] \\ [/tex]

Now, we have to multiple both the denominator and the numerator of our fraction by the conjugate of its denominator:

[tex]\sf \dfrac{ - 8 - 6i}{20 + 15i} = \dfrac{( - 8 - 6i)( \overbrace{20 - 15i}^{ \overline{z}}) }{ (20 + 15i)( \underbrace{20 - 15i}_{ \overline{z}}) } \\ \\ \\ \sf = \dfrac{ - 160 + 120i - 120i + 90 {i}^{2} }{400 - 300i + 300i - 225 {i}^{2} } \\ \\ \\ \sf = \dfrac{ - 160 + 90 {i}^{2} }{400 - 225 {i}^{2} }[/tex]

[tex] \\ [/tex]

One more time, substitute -1 for i²:

[tex] \sf \: \dfrac{ - 160+ 90 {i}^{2} }{400 - 225 {i}^{2} } \: = \dfrac{ - 160 + 90( - 1)}{400 - 225( - 1)} \\ \\ \\ \sf = \boxed{\sf - \dfrac{ 250}{625}} [/tex]

[tex] \\ [/tex]

Finally, let's simplify our result:

[tex] \sf - \dfrac{250}{625} = - \dfrac{2 \times 125}{5 \times 125} = \boxed{ \boxed{ \sf - \dfrac{2}{5}}}[/tex]

[tex] \\ \\ [/tex]

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Solve the equation for x

Answers

Answer:

Question 3

5x + 100 = 7x + 30

100 - 30 = 7x - 5x

70 = 2x

x = 35

Question 4

3y + 16 = 5y

16 = 5y - 3y

16 = 2y

y = 8

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-

________________________________

5(x+20) = 7x + 30

=> 5x + 100 = 7x + 30

=> 100 – 30 = 7x – 5x

=> 70 = 2x

=> x = 70/2

=> x = 35

The value of x is 35.

________________________________

3y + 16 = 5y

=> 16 = 5y – 3y

=> 16 = 2y

=> y = 16/2

=> y = 8

The value of y is 8.

_______________________________

4. Caroline baked cookies from a recipe that called for 2 cup of sugar. She planned to triple the recipe.
How much sugar did she need?

Answers

Caroline needed 6 cups of sugar because 2x3 = 6

Answer:

Step-by-step explanation: So First you  would need to multiply 2x3 because if you need to triple two cups you have to multiply so the answer is 6 cups

i need big help on this question please

make g the subject of the formula w=7-/sqrt g

Answers

Answer:

Below

Step-by-step explanation:

w = 7 - sqrt (g)    ?? ( syntax is unclear in your post)

sqrt(g) = 7-w

g = (7-w)^2

wrate 10 as a fraction of 30

Answers

Answer:

[tex]\frac{10}{30}[/tex]

Step-by-step explanation:

Answer:

10/30

Step-by-step explanation:

"A number n equals 7 more than half the number"​

Answers

The number 'n' is equal to 14

In the question, we have been given that the number n is equal to 7 more than half of the number 'n'.

So in these linear equation-solving types of problems, first of all, we convert the written sentence into an equation.

So the equation for the following problem statement is -

n = 7 + n/2  

{since we have been given the number equals 7 more than half of the number }

Solving the equation we have,

n = 14.

We can easily see that 14 is the number which is 7 more than half of itself.

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3x + 2 = 5x - (2x + 1).

Answers

Answer:

No solution

Step-by-step explanation:

NO LINKS!! Write the first 5 terms of the geometric sequence
a1 = 6, r = 4

a1=
a2=
a3=
a4=
a5=

Answers

Step-by-step explanation:

since it is geometric sequence we will use the formula

[tex]tn = {ar}^{n - 1} [/tex]

a = 6

r = 4

The first term

T1(a) = 6

The second term

[tex]t2 = {a \times r}^{2 - 1} [/tex]

[tex]t2 = {6 \times 4}^{1 } = 24[/tex]

The Third Term

[tex]t3 = {a \times r}^{3 - 1} = {a \times r}^{2} [/tex]

[tex]t3 = {6 \times 4}^{2} = 6 \times 16 = 96[/tex]

The fourth term

[tex]t4 = {a \times r}^{4 - 1} = {a \times r}^{3} [/tex]

[tex]t4 = {6 \times 4}^{3} = 6 \times 64 = 384[/tex]

The fifth term

[tex]t5 = {a \times r}^{5 - 1} = {a \times r}^{4} [/tex]

[tex]t5 = {6 \times 4}^{4} = 6 \times 256 = 1,536[/tex]

i hope these helped

Answer:

6, 24, 96, 384, 1536, ...

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}[/tex]

Given:

a = 6r = 4

Substitute the given values of a and r into the formula to create an equation for the nth term:

[tex]a_n=6(4)^{n-1}[/tex]

To find the first 5 terms of the geometric sequence, substitute n = 1 through 5 into the equation.

[tex]\begin{aligned}\implies a_1&=6(4)^{1-1}\\&=6(4)^{0}\\&=6(1)\\&=6\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_2&=6(4)^{2-1}\\&=6(4)^{1}\\&=6(4)\\&=24\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_3&=6(4)^{3-1}\\&=6(4)^{2}\\&=6(16)\\&=96\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_4&=6(4)^{4-1}\\&=6(4)^{3}\\&=6(64)\\&=384\end{aligned}[/tex]

[tex]\begin{aligned}\implies a_5&=6(4)^{5-1}\\&=6(4)^{4}\\&=6(256)\\&=1536\end{aligned}[/tex]

Therefore, the first 5 terms of the given geometric sequence are:

6, 24, 96, 384, 1536, ...

f(x) = 6x + 2 g(x) = -5x -9 Find the product of f and g.​

Answers

Answer:30x^2 - 54x - 18

Step-by-step explanation: To find the product of f and g, we can simply multiply the expressions for f and g together. The product of f and g is:

(f * g)(x) = (6x + 2)(-5x - 9)

          = -30x^2 - 54x - 18

So, the product of f and g is -30x^2 - 54x - 18

Find the width (in m) of the river in the illustration. (Round your answer to three significant digits.)
44°
100 m

Answers

Answer:

[tex]w \approx 96.6 \, \textrm{m}[/tex]

Step-by-step explanation:

See the attached image for my labeled diagram.

To solve for [tex]w[/tex], we can use the trigonometric ratio tangent.

[tex]\tan(\theta)=\dfrac{\textrm{opposite}}{\textrm{adjacent}}[/tex]

[tex]\tan(44\textdegree)=\dfrac{w}{100 \, \textrm{m}}[/tex]

↓ multiply both sides by 100m

[tex]100 \, \textrm{m} \cdot \tan(44\textdegree)=w[/tex]

↓ plug [tex]100\, \textrm{m} \cdot \tan(44\textdegree)[/tex] into a calculator

[tex]96.56887 \, \textrm{m} \approx w[/tex]

[tex]w \approx 96.56887 \, \textrm{m}[/tex]

↓ round to 3 significant figures

[tex]w \approx 96.6 \, \textrm{m}[/tex]

The Beta Club plans a dance as a fund-raiser. The band costs $650, decorations cost $45, and the refreshments cost $2.20 per person. The admission tickets are $6 each.
(a) How many tickets must be sold to break even?
(b) How many tickets must be sold to clear $700?
(c) If admission tickets are $7.50 each, how many must be sold to clear $700?

Answers

183  tickets must be sold to break even. The price at which a good or service must be provided in order to recoup its expenses of production.

How many tickets must be sold to break even?The price at which an asset must be sold in order to recover its acquisition and ownership costs is known as the break-even price. It can also be used to describe the price at which a good or service must be provided in order to recoup its expenses of production.

The band costs $650,

decorations cost $45

refreshments cost $2.20 per person

let x be the  no of ticket

Total cost = 650+ 45+ 2.20x

break even

tickets cost = $6

6x =   650+ 45+ 2.20x

6 x - 2.20x = 695

3.8 x  = 695

x = 182.89

183  tickets must be sold to break even.

tickets must be sold to clear $700

700/6 =116.6

700/ 7.5 = 93.33

117 tickets must be sold to clear $700

94 tickets must be sold to clear $700,  If admission tickets are $7.50 each.

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ANSWER NOW NEED HELP
A red die, a blue die, and a green die
are rolled. Each die is labeled 1 to 6.
Find the probability of each event:

a) a 2 on the red die, a 3 on the blue
die, and a 4 on the green die

b) a 4 on the red die, an even number
on the blue die, and a number less
then 3 on the green die

Answers

Answer:

a)1/216

b)1/36

Step-by-step explanation:

p(2r)and p(3b) and p(4g)

1/6×1/6×1/6=1/216

p(4r) and p(even b) and p(no less than 3)

1/6×3/6×2/6=1/36

4.


a) Find four consecutive even integers such that twice the sum of the second and third exceeds 3 times the first by 32.


b) The difference between two numbers is 24. Find the numbers if their sum is 88.


5.


a) Separate 60 into two parts so that 3 times the smaller added to 6 more than 6 times the smaller = 60.


b) A train traveled 300 miles. How long did the trip take if the train was traveling at a rate of: Note * Use the d=rt formula (distance = rate * time). NOTE: You may not be able to solve for the variable. If you do not have enough information to solve for the variable then write the equation.

1) 50 mph

2) 70 mph

3) x mph

4) (x+10)mph

5) (x-5)mph

Answers

The first, second, third, and fourth consecutive even integers must be greater than 10, 12, 14, and 16 respectively.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let the four consecutive even integers be n, (n + 2), (n + 4) and (n + 6).

Such that twice the sum of the second and third exceeds 3 times the first by 32.

2{(n + 2) + (n + 4)} > 3(n) + 32.

2n + 4 + 2n + 8 > 3n + 32.

4n - 3n > 32 - 12.

n > 10.

So, the consecutive even numbers must all be greater than 10.

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Solve for h. If you answer, you get 14 points

Answers

Answer: 24

Step-by-step explanation:

Answer:

h = 24

Step-by-step explanation:

the speed of water in a whirl pool varies inversely with the radius. if the water speed is 2.5 feet per second at a radius of 30 feet what is the speed of the water at a radius of 3 feet

Answers

Answer:

Step-by-step explanation:

Let, the Speed of the water be 'x'

and the Radius be 'r'

Now, the speed of Water Varies inversely with the Radius

So, x ∝ 1/r

      x = k/r   -----------(i)

Here, k is the proportionality constant

Now,

Given that, x = 2.5 ft per sec

then, 30 ft,

So, from eq. (i)

               2.5 = k/30

          So, k = 75

Again From eq. (i)

                    x = 75/r

          Now, if r = 3ft

           then, x = 75/3

                     x = 25

Hence, Speed of the water (x) = 25 ft per sec.

Elizabeth has a 1,200-word report to be finished in 3 weeks.
During the first week, she wrote every day (Sunday to Saturday) and wrote a total of 525 words. For the second week, she plans to write every day according to the equation y = 55z where y is
the total number of words written after x days.
Use the drop-down menus to correctly complete the statements below.
Last week, Elizabeth wrote at a pace of
This week, she plans to write at a pace of
She will still need to write To complete report

Answers

Answer:

Step-by-step explanation: for the first part, 525/7 = 75.

for the second part, 55y = x, which means 55 words per day for a total of (55*7) or 385

for the third part, 1200-525-385=290, not totally sure, but I think this is the answer, the text was a bit blurry and I couldn't understand everything, try not to following this blindly and just see if it makes sense. Hope I could help

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!

Answers

Answer: the answer is A

Step-by-step explanation:

I need help, I’m trying to find the translation and scale factor.

Answers

Answer:

Translation: 4 to the right and 8 up.

Scale factor: 3

Step-by-step explanation:

If you move CDE 4 spaces to the right and 8 spaces up C and C' will match up. If you dilate (make bigger) CDE 3 times it will perfectly be C'D'E'.

What is an equation of the line that passes through the points (-3, 8) and (6, 2)?

Answers

Answer:

y = (-2/3)x + 6

Step-by-step explanation:

To find the equation of the line that passes through the points (-3, 8) and (6, 2), we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
To find the slope of the line, we can use the following formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line. Plugging in the coordinates of the two points given in the problem, we get:

m = (2 - 8) / (6 - (-3)) = -6/9 = -2/3

Next, we need to find the y-intercept of the line. This is the point where the line crosses the y-axis, which means that the x-coordinate of this point is 0. Since we know the slope of the line and one of the points that it passes through, we can use the point-slope form of the equation of a line to find the y-intercept:

y - y1 = m(x - x1)

Substituting the values we have calculated above and setting x = 0, we get:

y - 8 = (-2/3)(0 - (-3))

Solving for y, we find that the y-intercept is 8 - (2/3) * 3 = 8 - 2 = 6.

Therefore, the equation of the line that passes through the points (-3, 8) and (6, 2) is:

y = (-2/3)x + 6

3/4 of a peice of metal has a mass of 15kg. What is the mass of 2/5 of the peice of metal?​

Answers

Answer:

Step-by-step explanation:

Let total mass be x

(3/4)*x=15

on solving

x=20

now,

mass of 2/5 of piece of metal is-

=> (2/5)*20

=> 8

Ans- 8kg

HELP ASAP!! READ CAREFULLY

Answers

Answer:

Step-by-step explanation:

There is a scale factor of 2 so since the trapezoid is 9 we can divide by 2 so AD is 4.5 and CB is 4.5

YZ is the same as ZW so 8

Using the scale factor we can divide 8 by 2 to get 4

Perimeters can be found from the sums so

ABCD would be 19 and WXYZ would be 38

The average mass of Stephen, Shamsul and Saravanan is 64 kg. Stephen's mass is 72 kg Shamsul's mass is 1.5 times Saravanan's mass Calculate Shamsul's mass in kg.

Answers

Answer:

72kg

Step-by-step explanation:

Stephen = 72

Saravanan = x

Shamsul = (x • 1.5) since Shamsul's mass is 1.5 times Saravanan's mass

1. make an equation:

( 72 + x + (x • 1.5) ) ÷ 3 = 64

2. solve it:

( 72 + x + (x • 1.5) ) ÷ 3 = 64

( 72 + x + (x • 1.5) ) = 64 • 3

( 72 + x + (x • 1.5) ) = 192

x + 1.5x = 192 - 72

2.5x = 120

x = 120 ÷ 2.5

x = 48

Thus shamsul's mass is:

48 • 1.5 = 72kg

Given the following piecewise function, evaluate ƒ(–2).
f(x) =
50+4 r
3x+3 x
2
2

Answers

Answer:

2

Step-by-step explanation:

Other Questions
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