Mathematics College

Edith’s age is 1/4 of Ronald’s age. In how many years will Edith’s age be 1/3 of Ronald’s age if Edith is 20 years old?

Answers

Answer 1

Answer:

Step-by-step explanation:

x = Edith's age = 20 years

y = Ronald's age

x = 20 = y/4

y = 20×4 = 80 years

in z years we have

(x + z) = (y + z)/3

(20 + z) = (80 + z)/3

3(20 + z) = 80 + z

60 + 3z = 80 + z

60 + 2z = 80

2z = 20

z = 10

in 10 years Edith's age will be 1/3 of Ronald's age.

then Edith will be 30, and Ronald will be 90.

30 = 90/3

correct.

Related Questions

please help me asap thank you so so so much u are the most amazing

Answers

The smallest angle would be 19 degrees. So option D is correct.

What is the sum of the octagon?

The sum of exterior angles of the regular octagon is 360 degrees.

Given;

The angles

x + 13 + 2x - 1 + 2x + 6 + 2x + 12 + 2x - 17 + 3x - 4 + 3x - 10 + 4x = 360

19x - 1 = 360

19x = 359

x = 18.89

The smallest angle would be

2x - 17 = 2(18.89) - 17 = 19

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Compare A and B in three ways, where A = 1.8 million is the 2012 population of city X and B = 2.6 million is the 2012 population of city Y.

a. Find the ratio of A to B.
b. Find the ratio of B to A.
c. Complete the sentence: A is ____ percent of B.

Answers

Question
Determine an angle between 0° and 360° that is coterminal to an angle with measure of 1524°.
Enter your answer below without a degrees symbol - just enter the numeric answer.

Answers

Answer: 84°

Step-by-step explanation:

On a unit circle, coterminal angles are angles that are in the opposite position of the asked angle. 1524° revolves around 127/15π times across the entire unit circle.

84° is the only positive coterminal angle between 0 and 360 that is in the opposite position of 1524°.

Keep in mind, that there are more coterminal angles, namely 444°, 804°, 1164°, and 1524° itself, but they are outside of the range of 0 and 360 degrees.

Which expression is equivalent to the following complex fraction?
-2/x + 5/y / 3/y - 2/x

Answers

Answer: [tex]\frac{5x-2y}{3x-2y}[/tex]

Step-by-step explanation:

[tex]\frac{-\frac{2}{x}+\frac{5}{y}}{\frac{3}{y}-\frac{2}{x}}[/tex]
Multiplying the numerator and denominator by xy,

[tex]=\frac{-2y+5x}{3x-2y}\\\\=\frac{5x-2y}{3x-2y}[/tex]

Bailey was practicing karate and kicked the target 6 out of 20 times. Express the number of times she kicked the target as a fraction of the total number of kicks , and reduce the fraction to the lowest terms.

Answers

Answer:

ok so here we know that Baily kicked the target 6 times out of 20 that is 6/20 and then you just reduce the fraction dividing it by 2 so it will be 3/10

Step-by-step explanation:

hope it helps :)

Geometry
Help pls list steps so I can learn :)

Answers

Answer: [tex]\frac{25\pi}{4}[/tex]

Step-by-step explanation:

The area of the entire circle is [tex]\pi(5^2)=25\pi[/tex].

The area of a quarter of the circle is thus [tex]\frac{25\pi}{4}[/tex]

And a certain watery an urn contains balls number 1 to 34 from this are in five balls are chosen randomly without replacement for a one dollar bed a player chooses one set of phone numbers to Wayne all five numbers match match those shows it from the urn the order in which the balls or select it doesn’t matter what is the probability of winning the lottery with one ticket

Answers

The probability of winning the lottery with one ticket is mathematically given as

P(W)=2.99484408*10^{−8}

What is the probability of winning the lottery with one ticket?

Generally, the equation for the probability is mathematically given as

P(1st ball)=1/34

one ball drawn remain

34-1=33

P(2nd ball)=1/33

In conclusion, the probability of winning the lottery with one ticket is

P(W)=1/34*1/33*1/32*1/31*1/30

P(W)=2.99484408*10^{−8}

Answers

Answer:

x = - 1

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] (8x + 12) = 3 ( multiply both sides by 4 to clear the fraction )

3(8x + 12) = 12 ( divide both sides by 3 )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

if you are looking for the x value this is the answerx = -1

Which of the following are solutions to the equation below?
Check all that apply.
9x² - 6x + 1 =7
O A. x= 2√2
B. x = -√7+1
3
☐ C. X=
□ D. X=
√√7+1
3
+1
□ E. x = 2√2
3
O F. X= -√2+1

Answers

Answer: C and B

Step-by-step explanation:

[tex]9x^2 - 6x+1=7\\\\9x^2 - 6x-6=0\\\\x=\frac{-(-6) \pm \sqrt{(-6)^2 - 4(9)(-6)}}{2(9)}\\\\x=\frac{6 \pm \sqrt{252}}{18}\\\\x=\frac{1 \pm \sqrt{7}}{3}[/tex]

PLEEEEEEEEEEASSEEEEEEE ANSWER QUESTION IS DOWN BELOW WORTH 15 POINTS each

Answers

A ratio shows us the number of times a number contains another number. The ratio of the volume of the model to the volume of the original is 27/2744.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the scale factor is 3:14. Therefore, the ratios can be written as,

(a) The ratio of the surface area of the model to the surface area of the original is,

Surface area Ratio = (3/14)² = 9/196

(b) The ratio of the volume of the model to the volume of the original.

Volume Ratio = (3/14)³ = 27/2744

Width Ratio = 3/14

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The table below gives recommended weight ranges for the balls from five different sports. (Hint: Find the average of each weight.)

Answers

The average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

How to determine the average weights?

The range is given as:

Sport Weight range of ball used

Volleyball 260-280 grams

Basketball 600-650 grams

Water Polo 400-450 grams

Lacrosse 142-149 grams

Football 14-15 ounces

The average of each weight is calculated as:

Average = (Max + Min)/2

So, we have:

Volleyball = (260+280)/2 = 270 grams

Basketball = (600+ 650)/2 = 625 grams

Water Polo = (400+450)/2 = 425 grams

Lacrosse = (142+149)/2 = 145.5 grams

Football = (14+15)/2 = 14.5 ounces

Hence, the average weights of each ball are 270 grams, 625 grams, 425 grams, 145.5 grams and 14.5 ounces

Answers

The mean is $5.769 million and the standard deviation is $3.905 million.

What is the mean?

The mean is the average of a data set.

What is the standard deviation?

The standard deviation shows the measure of the dispersion from the mean.

Data and Calculations:

Urban Area Total Cost Squared Difference

(millions of dollars) (x - u)²

New York 16 104.65

Los Angeles 13 52.27

Chicago 7 1.51

Washington, D.C. 5 0.59

Houston 5 0.59

Dallas, Fort Worth 4 3.13

Detroit 4 3.13

Miami 4 3.13

Phoenix 4 3.13

Philadelphia 4 3.13

San Francisco 3 7.67

Boston 3 7.67

Atlanta 3 7.67

13 Total 75 198.27

Mean = 5.769 (75/13) 15.251 (198.27/13)

Standard Deviation = 3.905 (square root of 15.251)

Question Completion:

Urban Area Total Cost

(millions of dollars)

New York 16

Los Angeles 13

Chicago 7

Washington, D.C. 5

Houston 5

Dallas, Fort Worth 4

Detroit 4

Miami 4

Phoenix 4

Philadelphia 4

San Francisco 3

Boston 3

Atlanta 3

Calculate the mean and standard deviation for this data set (in millions of dollars). (Round your answers to three decimal places.) mean $ million standard deviation $ million

Thus, the mean is $5.769 million and the standard deviation is $3.905 million.

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The function g(x) = p sin x +q, where p>0, has a maximum value of 10 and a minimum value of -4. Find the value of p and of q.

Answers

Answer: [tex]p=7, q=3[/tex]

Step-by-step explanation:

The midline of the function is

[tex]\frac{10-4}{2}=3 \implies q=3[/tex]

This means that to obtain a maximum of 10, when [tex]\sin x[/tex] reaches it's maximum, 1, [tex]g(x)=p+q=10 \implies p=7[/tex]

Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is
summarized in the histogram below.

What is the sample size for this data set?

Answers

Answer: 43

Explanation:

Add up the heights of each bar to get the sample size.

4+4+7+12+11+4+1 = 43

QUESTION IS DOWN BELOW 30 points for answer

Answers

Answer: a) 25:16 and b) 125:64

Step-by-step explanation:

For simplicity, assume that two spheres have diameters of 5 and 4.

a) 4pi(5^2) and 4pi(4^2)

= 100pi:64pi

= 100:64

= 25:16

b. 4/3 pi(5^3) and 4/3 pi(4^3)

= 166.67pi and 85.33pi

= 500:256

= 125:64

In the coin flipping lab, suppose that you simulated the flipping of a weighted coin 30 times and got 5 heads and 25 tails. What is your estimated probability for P(H)?

Answers

Answer:

1/6

Step-by-step explanation:

Out of 30 tosses, 5 come up heads. So the estimated probability of heads is 5/30, or 1/6.

Answer: 0.17

Step-by-step explanation:

just got it right on quiz

In a relatively pointless survey, the following data was collected on cars in a Costco parking lot: there were 94 white cars; 44 purple cars; 41 dark gray cars; 27 light blue cars; 46 green cars; 19 cars of some other color.

If you were to construct a Pareto chart (using the rule suggested in the book), how would the second bar in the graph be labeled?

color =

Answers

If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

What is a Pareto chart?

A Pareto chart is known to be a form of a bar graph.

It is made up of different lengths of bars that stands for frequency or cost ( e.g. time or money, and are said to be placed with longest bars on the left and then the shortest are placed to the right.

Since there are 27 light blue cars and this is the first one among the shortest, one can make it to be in the second bar and as such, If I am to to construct a Pareto chart based on the rule of the chart, the second bar color in the graph be labeled light blue.

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Which of the following is equal to the rational expressions when x=2or1? (X-1)/(x+5)/(x-2)/(x-1)

Answers

Answer:

(x-2)/(x-1)

Step-by-step explanation:

(x-2)/(x-1)

Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6

A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive stated, “The revenues for online ads are more than double that of the revenues for printed ads.”
Use the graph below to justify the lead executive’s statement.
Determine the approximate year that the two ad revenues were equal.
See Text Version

Two ocean beaches are being affected by erosion. The table shows the width, in feet, of each beach measured at high tide where 1995 is represented by year 0:

Year number Western Beach width (in feet) Dunes Beach width (in feet)
0 100 20
5 90 45
10 80 70
11 78 75
12 76 80
15 70 95

Describe the patterns shown by the erosion data measurements shown for each of the beaches in the table.
Between which years will the beaches have approximately the same width?
Assuming these rates remain constant, what can you do to get a better approximation of when the two beaches will have the same width?

Answers

The answers are as follows:

What is data?

Data is information that has been translated into a form that is efficient for movement or processing.

1. By substituting the values x= 1, 2, 3..

We get the point where f(x)= g(x)

So, f(5)= g(5) =2

Hence, the value of x is 5.

2. As per the given data, during year 14,

revenue from online ads is approximately $4.2 million, whereas revenue from online ads is double than revenue from printed ads.

Also, both line intersect inbetween 7 and 8th year and both online ads and printed ads generated an approximate revenue of $2.2 million.

3. Western Beach erodes from 100 ft to 70 ft.

So, rate of erosion = 30 ft/15 yr = 2 ft/yr.

and, Dunes Beach builds up from 20 ft to 95 ft.

So, rate of buildup = 75 ft/15 yr = 5 ft/yr.

Hence, Dunes beach gets 5 feet every year, and every 5 years the beach loses 25 feet.

b) From the table, beaches will have the same width sometime in year 11 (2006).

c) If the rate remains constant then there is no same width cause of decrease in western beach and increase dunes beach.

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The following present value factors are provided for use in this problem.

Periods Present Value
of $1 at 8% Present Value of an
Annuity of $1 at 8%
1 0.9259 0.9259
2 0.8573 1.7833
3 0.7938 2.5771
4 0.7350 3.3121
Xavier Co. wants to purchase a machine for $37,500 with a four year life and a $1200 salvage value. Xavier requires an 8% return on investment. The expected year-end net cash flows are $12,500 in each of the four years. What is the machine's net present value?
$(3901).
$3901.
$4783.
$(4783).
$42,283.

Answers

The net present value of machine is $5982

What is investment?

An investment is an asset or item acquired with the goal of generating income or appreciation.

As, 4th Year Cash Flow

= Salvage Value + Expected End Year Net Cash Flow

= $1,200 + $12,500

= $13,700

Year Cash flow ($) PVF at 8% Present value ($)

0 37,500 1.000 -36,300

1 12,500 0.9259 11573.75

2 12,500 0.8573 10716.25

3 12,500 0.7938 9922.5

4 13,700 0.7350 10069.5

Net value 5982

Hence, net present value of machine is $5982

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In a random sample of 1214 eligible voters younger than 40 years old, 461 reported that they planned to vote in the upcoming election. In a random sample of 1098 voters 40 and older,560 reported that they planned to vote in the election. Construct a 90% confidence interval for the difference between the percent of all voters younger than 40 and 40 and older who plan to vote in the upcoming election. What critical z-score will be used

Answers

Using the z-distribution, with a critical z-score of z = 1.645, the 90% confidence interval is (-16.4%, -9.66%).

What are the mean and the standard error for the distribution of the difference of proportions?

For each sample, the mean and the standard error are given as follows:

[tex]p_y = \frac{461}{1214} = 0.3797, s_y = \sqrt{\frac{0.3797(0.6203)}{1214}} = 0.0139[/tex].[tex]p_o = \frac{560}{1098} = 0.51, s_o = \sqrt{\frac{0.51(0.49)}{1098}} = 0.0151[/tex].

Hence, for the distribution of differences, they are given as follows:

[tex]p = p_y - p_0 = 0.3797 - 0.51 = -0.1303[/tex].[tex]s = \sqrt{s_y^2 + s_o^2} = \sqrt{0.0139^2 + 0.0151^2} = 0.0205[/tex]

What is the confidence interval?

The interval is:

[tex]p \pm zs[/tex]

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

Then the bounds of the interval are:

p - zs = -0.1303 - 1.645(0.0205) = -0.164.p + zs = -0.1303 + 1.645(0.0205) = -0.0966.

As a percentage, the 90% confidence interval is (-16.4%, -9.66%).

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Find the measure of the angle indicated in bold

Answers

The measure of the angles in bold are as follows;

25. 90° and 90°

26. 60° and 60°

How to find angles?

When two parallel lines are cut by a transversal , angle relationship are formed. They are alternate angles, corresponding angles etc.

Therefore,

x + 96 + x + 96 = 180

2x = 180 - 192

2x = -12

x = -6

Hence, the angles are 90 and 90 degrees.

6x = 5x + 10(corresponding angles)

6x - 5x = 10

x = 10

Therefore, the angles are 60 degrees and 60 degrees

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Solve the logarithmic equation...

Answers

Answer:

x = 3

Explanation:

[tex]\sf Given \ equation: \ log_{10} (1000) = x[/tex]

Solving steps:

[tex]\rightarrow \sf log_{10} (1000) = x[/tex]

apply rule: logₐ(b) = c then b = aᶜ

[tex]\rightarrow \sf 1000 = 10^x[/tex]

rewrite following

[tex]\rightarrow \sf 10^3= 10^x[/tex]

cancel out bases

[tex]\rightarrow \sf x = 3[/tex]

Answer:

d.) x = 3

Step-by-step explanation:

you simply need to know 10 to power of how many makes 1000 , In case didn't know you can replace the value of x with the given options and see if it can be solved or not .

On July 1, 20x5, Augusta Enterprises issued bonds with a face value of $1,000,000. The bonds carry a face interest rate of 10 percent that is payable each July 1 and January 1.

a. Prepare the entry in journal form without explanation for the issuance assuming the bonds are issued at 97.
b. Prepare the entry in journal form without explanation for the issuance assuming the bonds are issued at 102.

Answers

Based on the price that Augusta Enterprises issued the bonds, the journal entries would be:

Date Account title Debit Credit

July 1, 20x5 Cash $97,000

Discount on Bonds payable $3,000

Bonds payable $1,000,000

Date Account title Debit Credit

July 1, 20x5 Cash $1,020,000

Premium on Bonds payable $20,000

Bonds payable $1,000,000

How are bonds recorded at premium and discount?

The cash received from the discounted bond is:

= 1,000,000 x 97%

= $970,000

The cash received from the premium bond is:

= 1,000,000 x 102/100

= $1,020,000

The premium is:

= 1,020,000 - 1,000,000

= $20,000

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Draw a histogram and a box-and-whisker plot to represent the combined data, and answer the questions. Be sure to include the new graphs as part of your final submission.

How do the graphs of the combined data compare to the original graphs?
Compared to the original graphs, do the new graphs make it easier or more difficult to estimate the price of a book?

Answers

The new graphs would make it more difficult to estimate the price of a book.

How to create the combined graph?

To do this, we simply combine the frequencies on Felix and Tyler's table.

When this is done, we have the following dataset

3,3,3,3,3,3,3,3,4,4,4,4,5,5,5,5,5,5,5,6,6,6,6,6,6,7,7,7,7, 8,8,8,8,9,9,9,9,9,9,9,9,9,11,11,13,13,13,13,15,15,15,16,16,18,18,18,18,18,19,19,19,19,19,19,29,32,32,36,36,36,38,38,64,64,66,66,66,68,68,69,75,75,76,76,76,76,76,78,78,79,82,82,86,86,86,89,96,96,97,97,99

Next, we create the box & whisker plot and the histogram using the new dataset

(see attachment for the graphs)

The new graphs would make it more difficult to estimate the price of a book.

This is so because the dataset used to create the graphs do not come from the same source

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Determine if
16
x
2
−
25
y
2
=
1
16
x
2
-
25
y
2
=
1
is a hyperbola and if it is, which type it is. The transverse axis is
what is A and B

Answers

The values of a and b are 1/4 and 1/5 respectively

How to determine the true statement?

The function is given as:

16x^2 - 25y^2 = 1

The above function is a horizontal hyperbola.

A horizontal hyperbola that passes through the origin is represented as:

[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]

Rewrite 16x^2 - 25y^2 = 1 as

[tex]\frac{x^2}{1/16} - \frac{y^2}{1/25} = 1[/tex]

By comparison, we have:

[tex]a^2 = \frac{1}{16}[/tex]

[tex]b^2 = \frac{1}{25}[/tex]

Solve for a and b

[tex]a = \frac{1}{4}[/tex]

[tex]b = \frac{1}{5}[/tex]

Hence, the values of a and b are 1/4 and 1/5 respectively

Answers

It should be noted that the value of 597 subtracted from 884 is 287.

How to illustrate the subtraction?

The information is simply that we should subtract 884 and 597 and also illustrate it.

This will be:

884 - 597 = 287.

A word problem illustrating this is that a man had 884 pens and gave 597 pens to his friends. How many pens does he have left?

This will be:

= 884 - 597 = 287

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HELP ASAP!!!!GIVING BRAINLIEST!!!!!!
If f(x)=2x^2+2 and g(x)=x^2-1, find (f-g)(x).

Answers

Answer: B. x^2 + 3

Step-by-step explanation:

2x^2 + 2 -(x^2 - 1)

2x^2 + 2 - x^2 + 1

x^2 + 3

If f (x) = 2x ^ 2 + 2
Answer is B
x2 + 3

Draw u – v + w. please help !!!!!!!!!!

Answers

Here, we have to perform a sum of vectors and draw the resultant vector and the resultant vector will be <4, 0>.

How to illustrate the vector?

If we see the image, we can write the vectors as:

w = <3, 3>

u = <-3, -4>

v = <-4, -1>

Now we want to sum:

u - v + w

= <-3, -4> - <-4, -1> + <3, 3>

= <-3 + 4 + 3, -4 + 1 + 3>

= <4, 0>

The graph of the resultant vector can be seen below.

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On a number line 1.77 would be located.

Answers

On a number line 1.77 would be located between 1 and 2 but it would be closer to 2 than 1.

Where would 1.77 be located?

A number line is used to show the positioning of numbers. 1.77 is between 1 and 2. So, it would be located between 1 and 2 on the number line. Because 1.77 can be rounded off to 2, it would be closer to 2.

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