James worked for 12 consecutive days, during the first 6 days, James averaged
$140 per day, his average wage for the next 5 days was $175, and for the last day
he earned $205. How much did he earn on average each day?

Answers

Answer 1

The amount earned on average each day is $160.

How to calculate the average?

From the information, James worked for 12 consecutive days, during the first 6 days, James averaged $140 per day, his average wage for the next 5 days was $175, and for the last day, he earned $205.

It should be noted that average is also the mean. This will be calculated as:

(6 × $140) + ($175 × 5) + $205 / 12

= $840 + $875 + $205 / 12

= $1920 / 12

= $160

The average amount is $160.

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Related Questions

divide 20 by the difference of 14 and 9

Answers

Answer:

4

Step-by-step explanation:

14-9=5 20 divided by 5=4

Which number is smaller? )
38
Same
38

Answers

Answer:

None

Step-by-step explanation:

They are both the same so they would be equivalent

Answer:

they are equal are you ok?

Step-by-step explanation:

Sam needs
5_
6
cup mashed bananas and
3_
4
cup mashed
strawberries for a recipe. He wants to find whether he needs
more bananas or more strawberries. How can he write 5_
6
and
3_
4
as a pair of fractions with a common denominator?

Answers

Answer:

He needs more bananas. (\(\frac{10}{12}+\frac{9}{12}\))

Step-by-step explanation:

Find the least common multiple for both denominators.

For 6 and 4 in the denominators, their L.C.M is 12.

Cup of mashed bananas:

Multiply both the numerator and denominator by 2.

\(\frac{5}{6} = \frac{10}{12}\)

Cup of mashed strawberries:

Multiply both the numerator and denominator by 3.

\(\frac{3}{4} = \frac{9}{12}\)

Since the denominators are now the same, we can compare them in the same ratio.

\(\frac{10}{12} > \frac{9}{12}\)

Therefore he needs \(\frac{1}{12}\) more mashed bananas than mashed strawberries.

The dimensions of poster board paper at a store are 55 cm by 70 cm, and it sells at
$5.49. A second poster board paper measures 27.5 cm by 35 cm. Given the price of
the first poster board paper, what would be an appropriate price for the second
poster board paper? Give reasons for your answer.

Answers

The appropriate price for the second poster is $1.37.  The dimensions is not equal but less than that of the first poster

How to determine the amount

From the information given, we have that the poster takes form of a rectangle.

The formula that is used to calculate the area of a rectangle is usually expressed with the equation;

A = lw

The parameters are enumerated as;

A is the area of the rectanglel is the length w is the width

For the first poster, we have;

Area = 55(70)

Multiply the values

Area = 3850 cm^2

Then, we have that;

3850 cm^2 = $5.49

Then, 27.5(35) = x

cross multiply the values

x = $1. 37

The dimensions of the first poster is two times greater than that of the second.

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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx

Answers

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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In "The Emperor's New Clothes" what does the opening tell you about the characters?
A. Emperor is the main character
B. King is the main character
C. No main character is introduced
D. Queen is the main character

Answers

Answer:

A. Emperor is the main character

Step-by-step explanation:

I've read it before

A because as the novel begin it was talking about the emperor

A book is 9 inches wide and 13.5 inches tall.

What will the area of the front of the book?

Answers

Answer:

121.5

Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.

Answer:

\(area = (l \times w) \\ = (13.5 \times 9) \\ = 121.5 \: {inches}^{2} \)

Tina is having a party with 11 of her friends she wants each person including herself to get 1/4 of a sandwich .how many sandwiches will she need to order for her party?

(There are 12 people)

Answers

Answer:

3

Step-by-step explanation:

1/4 * 12= 12/4 break that down and you will get 3

Can someone help me answer these 3 questions? I’ll reward points + brainalist

Can someone help me answer these 3 questions? Ill reward points + brainalist

Answers

Answer: I think a ,c, and d

Step-by-step explanation:

simplify (1+tan^2x)/(tan^2x)
[?]^2x

Answers

Answer:

1+tan2x=sec2x.

Explanation: Change to sines and cosines then simplify.

The equation $y = -6t^2 - 10t + 56$ describes the height (in feet) of a ball thrown downward at 10 feet per second from a height of 56 feet from the surface from Mars. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

2.33 Seconds

Step-by-step explanation:

The equation y = -6t^2 - 10t + 56 expresses the height of a ball at a given time, t, on the planet Mars.  We are also given that the ball is thrown with a velocity of 10 feet per second with the initial height of 56 feet.

To find the amount of time to reach the ground, we can say that the time being found will be when the ball is on the ground, or when y = 0.  So we simply set our equation to 0 and solve for t.

y = -6t^2 - 10t + 56

0 = -6t^2 - 10t + 56

0 = -1 (6t^2 + 10t + -56)

0 = -1 (3t - 7) (2t + 8)

(3t - 7) = 0  OR (2t + 8) = 0

3t = 7         OR  2t = -8

t = 7/3        OR    t = -4

Since time will not be negative, we will want to choose the positive solution for this quadratic equation.

Hence, the amount of time for the ball to hit the ground will be 7/3 seconds or 2.33 seconds.

Cheers.

Answer:

2.33

Step-by-step explanation:

Setting $y$ to zero, we find the following:

\begin{align*}

-6t^2 - 10t + 56 &= 0 \\

\Rightarrow \quad 6t^2 + 10t - 56 &= 0 \\

\Rightarrow \quad 3t^2 + 5t - 28 &= 0 \\

\Rightarrow \quad (3t-7)(t+4) &= 0.

\end{align*}As $t$ must be positive, we can see that $t = \frac{7}{3} \approx \boxed{2.33}.$

Which point is a solution to the inequality shown in this graph?
(5.0)
O A. (60)
O B. (0, -3)
O C. (5,-5)
ОО
D. (0,-5)

Which point is a solution to the inequality shown in this graph?(5.0)O A. (60)O B. (0, -3)O C. (5,-5)D.

Answers

It would be (0, -3) because it is a solid line meaning the point can be in or on the solid line

.......... do it now? Can't I do it later?

a) I've to
b) Have I
c) Do I have to
d) Should I

Answers

Answer:

d

Step-by-step explanation:

You are asking a question trying to suggest whether it can be done later

1. Find the volume of the cylinder. Round to the
nearest hundredths.
5 CM
0.75 CM

Answers

Answer:

Rounded to the nearest hundredths, the volume of the cylinder is approximately 58.91 cm^3.

Step-by-step explanation:

To find the volume of a cylinder, you need to know its radius (r) and height (h). In this case, the radius is given as 5 cm and the height is 0.75 cm.

The formula for the volume of a cylinder is:

V = π * r^2 * h

where π is a mathematical constant approximately equal to 3.14159.

Let's substitute the given values into the formula:

V = π * (5 cm)^2 * 0.75 cm

V ≈ 3.14159 * (25 cm^2) * 0.75 cm

V ≈ 58.909 cm^3

help me fast rapidly is of khan academy:

help me fast rapidly is of khan academy:

Answers

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

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4. You must make 3000 bags of product for a customer by 5 pm. You started work at 7 am today. By 9 am you have
made 500 bags. If you continue at this pace with no interruptions or machine issues, what percent (%) of 3000
will be complete by 11 am?

Answers

Answer:

33.33%

Step-by-step explanation:

from 7 to 9 it's 2 hours and you make 500
and 7 to 11 is 4 hours so you make 1000
then do 1000/3000 to find the percentage you have made
1000/3000 is 33.3333333333...% (the 3333.... never ends)

The answer is 33.33%

The following dot plots show the numbers of people per table at a bingo hall on two nights. Each
dot represents one of the 20 tables.
●●
H
H
0 1 2 3 4 5 6 7 8 9
People per table Tuesday
H
+
0 1 2 3 4 5 6 7 8 9
People per table Wednesday
Compare the typical number of people per table.
In general, there were more people per table on Select day
Select typical number of people ✓
per table.
with

The following dot plots show the numbers of people per table at a bingo hall on two nights. Eachdot represents

Answers

In general, there were more people per table on Tuesday with 8 number of people per table.

What is a dot plot?

In Mathematics, a dot plot can be defined as a type of line plot that is typically used for the graphical representation of a data set above a number line, especially through the use of dots.

By critically observing the given dot plots which is used to illustrate the numbers of people per table at a bingo hall on two nights, we can reasonably infer and logically deduce that there were more people per table on Tuesday than on Wednesday.

In conclusion, there were 8 number of people per table on Tuesday while there were 5 number of people per table on Wednesday.

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What is the value of (2/3)^4 ?

What is the value of (2/3)^4 ?

Answers

Answer:

THE ANSWER IS 81/16 OR C

1. Solve for x in the following problem.

1. Solve for x in the following problem.

Answers

Answer:

X=36

Step-by-step explanation:

Given: Circle O; ZA intercepts BC; ZD intercepts BC Two statements are missing reasons. What reason can be used to justify both statements 2 and 3? Prove: ZA ZD Statements Reasons D 1. given A 1. circle O; ZA intercepts BC, ZD intercepts BC 2. m ZA= (MBC ) 3.m4D = 1mBC) (MBC 12.1? B 3.? 4. mZA=mZD 4. substitution property 5. ZASZD 5. definition of congruent angles O inscribed angles theorem​

Given: Circle O; ZA intercepts BC; ZD intercepts BC Two statements are missing reasons. What reason can

Answers

Answer:

A. Inscribed angle theorem

Step-by-step explanation:

The missing reasons in the proof are inscribed angles theorem​.

What is an arc in a circle?

In mathematics, an arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that, a circle, with arcs AD and BC, we need to find the reason in the proof,

The reasons are inscribed angles theorem.

Inscribed angles theorem :-

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

Hence the missing reasons in the proof are inscribed angles theorem​.

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Calculate the volume of this cylinder, giving your answer to 1 decimal place

Calculate the volume of this cylinder, giving your answer to 1 decimal place

Answers

Answer:

2827.4

Step-by-step explanation:

V = πr2h this is the equation that can be used for these problems.

V= π(10)2(9)

the radius is 10 because the diameter is 20. Divide the given diameter by 2 to find the radius.

The lengths of two sides of a triangle are shown.

Side 1: 8x2 - 5x - 2

Side 2: 7x - x2 , 3

The perimeter of the triangle is 4xJ - 3x?

Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? justify your answer. (2
points)

Answers

The Total length of two sides based on the information will be 7x²+2x+1

The Length of the third side will be 4 x³-10x²-7.

How to calculate the length

Total length of two sides= Side 1 + Side 2

= 8x² − 5x − 2+ 7x − x²+ 3

= 8x²-x²-5x+7x-2+3

= 7x²+2x+1

Length of the third side = Perimeter - Total length of two sides

Length of the third side=4x³ − 3x² + 2x − 6-(7x²+2x+1)

= 4x³ − 3x² + 2x − 6-7x²-2x-1

= 4 x³-10x²-7

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What is exactly 5/12 of a full rotation

Answers

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

Define full rotation.

A "full rotation," "revolution," "whole turn," or "full circle" describes this. It entails spinning around till you are once again pointing in the same direction. a rotational movement. In rotation, there is a fixed central point around which everything else revolves in a circle. 360° is a "Full Rotation." Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given,

Number = 5/12

Full rotation = 360

5/12 of full rotation

5/12 × 360

5 × 30

150

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

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rolling a number greater than 0 but less than 7

Answers

Probability of rolling a number greater than 0 but less than 7 is 1.

Define probability?The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, probability has also been introduced in mathematics.

The probability formula is as follows:

Probability = Favourable outcomes / Total outcomes

Sample space of rolling a dice:

S = {1, 2, 3, 4, 5, 6}

Total outcomes = 6

Favourable outcomes: number greater than 0 but less than 7

Favourable outcomes: 6

Then, probability of rolling a number greater than 0 but less than 7

Probability = Favourable outcomes / Total outcomes

Probability = 6/6

Probability = 1

Thus,  probability of rolling a number greater than 0 but less than 7 is 1.

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The complete question is-

A dice is being rolled. Find the probability of rolling a number greater than 0 but less than 7

Using 50 random numbers given below, compute the mean and standard deviation. 0.937776 0.270012 0.243785 0.590701 0.824982 0.131805 0.879337 0.741998 0.254683 0.080259 0.419321 0.928220 0.958430 0.980182 0.263900 0.063119 0.762096 0.485612 0.662900 0.362242 0.724796 0.307736 0.305021 0.417052 0.054337 0.323357 0.069662 0.843387 0.353107 0.074262 0.735596 0.175095 0.390508 0.668932 0.029861 0.205228 0.387740 0.962169 0.646565 0.423914 0.754782 0.156719 0.773113 0.546335 0.323573 0.649740 0.214082 0.382383 0.383982 0.030539 Mean = (to 6 decimals) Standard deviation = (to 6 decimals)

Answers

The mean is 0.477514 (rounded to 6 decimal places).

The standard deviation is 0.288919 (rounded to 6 decimal places).

How to Solve the Problem?

To calculate the mean and standard deviation, we will use the following formulas:

Mean = (sum of all values) / (number of values)

Standard deviation = sqrt[(sum of (value - mean)^2) / (number of values)]

Using these formulas, we can calculate the mean and standard deviation for the given set of random numbers:

Mean = (0.937776 + 0.270012 + 0.243785 + 0.590701 + 0.824982 + 0.131805 + 0.879337 + 0.741998 + 0.254683 + 0.080259 + 0.419321 + 0.928220 + 0.958430 + 0.980182 + 0.263900 + 0.063119 + 0.762096 + 0.485612 + 0.662900 + 0.362242 + 0.724796 + 0.307736 + 0.305021 + 0.417052 + 0.054337 + 0.323357 + 0.069662 + 0.843387 + 0.353107 + 0.074262 + 0.735596 + 0.175095 + 0.390508 + 0.668932 + 0.029861 + 0.205228 + 0.387740 + 0.962169 + 0.646565 + 0.423914 + 0.754782 + 0.156719 + 0.773113 + 0.546335 + 0.323573 + 0.649740 + 0.214082 + 0.382383 + 0.383982 + 0.030539) / 50 = 0.477514

Therefore, the mean is 0.477514 (rounded to 6 decimal places).

Now we will calculate the standard deviation:

Standard deviation = sqrt[((0.937776 - 0.477514)^2 + (0.270012 - 0.477514)^2 + (0.243785 - 0.477514)^2 + ... + (0.382383 - 0.477514)^2 + (0.383982 - 0.477514)^2 + (0.030539 - 0.477514)^2) / 50] = 0.288919

Therefore, the standard deviation is 0.288919 (rounded to 6 decimal places).

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5/6 having denominator 35 ​

Answers

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Work out the mean for the data set below: 207, 208 Give your answer as a decimal.

Answers

Answer:

207.5 is the answer.

Step-by-step explanation:

Add up the numbers (207 + 208) = 415.

Then divide how many numbers, since the problem gives us 2 numbers, you divide 415 by 2.

That is how you find the mean.

Choose an equation that would be used to solve 0 = -x2 + 10x – 8

Choose an equation that would be used to solve 0 = -x2 + 10x 8

Answers

Answer: the second choice

Step-by-step explanation:

Answer:

the second part is 0.9, and 9.1

Step-by-step explanation:

thank me later

1. SHOPPING Jenna bought 5 reams of paper at the store for a total of $21. The tax on her
purchase was $1.
Solve 5x + 1 = 21 to find the price for each ream of paper.
(5 Points)
20
20/5
8/2

Answers

Answer:

$4

Step-by-step explanation:

5x + 1 = 21

(-1) = 5x = 20

(÷5) = x = 4

Answer:

its 20

Step-by-step explanation:

5 times 4 lol ion really now

-2(x + 2) =?x - 4
Pleeeaseee answer

Answers

Answer: -2 times x is -2x
The values of x:

X= 0
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Which of the following statements regarding the Epstein-Barr virus is incorrect?A. The virus has a 30-50 day incubation period.B. The virus is transmitted by direct oral contact and saliva.C. An infection typically requires hospitalization for about a week.D. An infection results in sudden leukocytosis.E. Transmission has been documented through contaminated blood transfusions and organ transplants. What is a parenthetical reference?a footnote at the bottom of the page giving additional informationadditional information within the text set apart in parenthesesa listing of citations on a separate page at the end of the papera way of crediting a reference within the body of the text which of the following factors are contributing to the growth of india's economy? (choose every correct answer.) multiple select question. a young, well-educated population a dwindling rural and suburban population a highly skilled workforce an older, more mature market and population Sodium metal reacts whit hydrochloric acid to produce salt and hydrogen gas. What are the reactants in this chemical reaction Gerald Fords presidency was marked by Draw a single Venn diagram to describe sets A, B, and C and element x that satisfy all of these conditions: A BC BA C x B C When completing an application, you should ensure that you enter the provider id of a specialist and not a primary care physician (pcp Which of the following microconstituents/ phases is (are) typically found in a low-carbon steel? (A) Austenite (B) Pearlite (C) Ferrite (D) Both pearlite and ferrite" is broken down into a number of easy to follow steps, and name two points collinear to point d Given that f(x) = 3x and that g(x) =x5 find f(g(3)) which part of the audit report includes backup data or details of analysis that would allow others to follow up if they wished? PLEASE HELP QUICKLY: (FIRST ANSWER GETS A BRAINLIEST)What does a general rubric evaluate?A. It evaluates the writers focus, organization, support, and grammar.B. It evaluates the way in which an instructor grades a paper.C. It evaluates specific criteria for a specific type of writing. Which of the following careers does NOT work with patients or the public?A. Social workerB. Laboratory technicianC. Hair stylistD. Substance abuse counselor Help please pleasePlease What values are reflected in Hammurabis Code? Find the missing angle. solve for ?PLZ HELP = . is one of many billions of galaxies in the universe. b. is unique in the universe in showing definite spiral structure. c. contains the whole universe; everything observable is within its volume. d. is one of only a few spiral galaxies; most other galaxies in the universe are amorphous collections of stars shaped like ellipsoids. Water flows at a rate of 2 kg/s through a 40-mm diameter tube whose surface is maintained at a constant temperature of 100C. It enters at a temperature of 25C and exits at 75C. What is the convection heat transfer coefficient in W/mK ? Please help me please help me please help me An organization that contributes to the community in which it operates and toward the quality of life is fulfilling its ________ social responsibility?