1. Preeta watches an ant and a beetle crawl in a hole in the ground. The beetle is inch below ground level. The beetle climbs the distance the ant is below ground level. The beetle is now inches below ground level.
(a) Let x = the position of the ant relative to ground level. What equation can be written to solve for x?
(b) Solve the equation from Part (a). Show your work.
(c) What is the distance between where the ant is and where the beetle is? Answer the question in a complete sentence. Show your work.

Answers

Answer 1

Answer:

1a:  [tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b: See below

1c:  [tex]2\frac{3}{4}[/tex] inches between the beetle and ant

Step-by-step explanation:

1a. To build the equation, we need to see that the beetle started at 3/4th inches below ground level, then "climbed" (which is poor English, it should be descended) a certain distance, and then it ended up at 2 1/2 inches below ground. The distance "climbed" can be represented as 1/3X, where "X" is the ant's current distance. We would do 1/3rd times "X" to figure out how much the beetle climbed down.

So that means, if we added together the starting position of 3/4, plus the distance the beetle descended (1/3X), that would get us TO 2 1/2 inches below ground (the beetle's new current position). So therefore our equation is:

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

1b. Solve the equation written above from 1a.

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{3}x[/tex] = [tex]2\frac{1}{2}[/tex]

-3/4     -3/4   [subtract 3/4 to start the process of getting x by itself]

[tex]\frac{1}{3}x[/tex] = 1[tex]\frac{3}{4}[/tex]

*3/1   *3/1 [Multiply Reciprocal to get X by itself]

x= [tex]5\frac{1}{4}[/tex]

1c. So we take the position of the ant figured out on 1b (5 1/4 inches), and the new current position of the beetle (2 1/2 inches), and subtract them

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

These answers were found by using this info:

the beetle is 3/4 inch below the ground level. The beetle climbs 1/3 the distance. The beetle is now 2 1/2 inches below ground.


Related Questions

What is the slope of 3x+4y=−2?

Answers

Answer:

[tex]3x + 4y = - 2 \\ 4y = - 3x - 2) \div 4 \\ y = - \frac{3}{4} x - \frac{1}{2} \\ \boxed{ m = - \frac{3}{4}}[/tex]

The temperature dropped 3 °F every hour for 6 hours. What was the total number of degrees the temperature changed in the 6 hours?

Answers

-12 I hope this help

Answer:

18 °F

Step-by-step explanation:

Simply multiply 3 and 6

One hour is 3 °F

Two hours is 6 °F

Three hours is 9 °F

Four hours is 12 °F

Five hours is 15 °F

Six hours is 18°F

I don't get it please help and show me how to do it

Answers

Answer:

Step-by-step explanation:

You plug in the given values and compute s:

s = ut + 1/2 at^2

s  = 10*1/2 + 1/2*-2*(1/2)^2

= 5 + -1*1/4

= 4 3/4.

where is the circumvented of a right isoceles triangle located

Answers

Answer:

The circumcenter of triangle can be found out as the intersection of the perpendicular bisectors (i.e., the lines that are at right angles to the midpoint of each side) of all sides of the triangle. This means that the perpendicular bisectors of the triangle are concurrent (i.e. meeting at one point).

Step-by-step explanation:

I hope that helps you and the explanation is in this answer too

I'm thinking of 2 numbers. Both numbers have the same absolute value. What number must be true about the 2 numbers?

Answers

Answer: they have the same number in them for example -4 and 4

Step-by-step explanation:

write 1234 base 5 in powers of 5.​

Answers

Answer:

Step-by-step explanation:

613 = 4x125 + 113 = 4x53 + 113

Hence the first digit (reading left to right) is a 4.

The remainder is 113 so how many 25's are there in 113?

113/25 = 4 with a remainder of 13

Thus

613 = 4x125 + 4x25 + 13 = 4x53 + 4x52 + 13

Hence the second digit (reading left to right) is also a 4.

The remainder is 13 so how many 5's are there in 13?

13/5 = 2 with a remainder of 3

Thus

613 = 4x125 + 4x25 + 2x5 + 3 = 4x53 + 4x52 + 2x5 + 3

Hence the third digit (reading left to right) is a 2 and the units digit is 3. Therefore

613 written in base 5 is 4423

example


[tex]\frac{8}{22} + \frac{3}{22} [/tex]
SOLVE It
NO G.OOGLE ​

Answers

Answer:

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

Step-by-step explanation:

[tex]\sf\huge\longmapsto \frac{8}{22} + \frac{3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{8 + 3}{22} [/tex]

[tex]\sf\huge\longmapsto \: \frac{11}{22} [/tex]

Subtract. (2/9)−(−1/3+5/9)

Answers

Answer:

0

Step-by-step explanation:

the answer is in the above

the answer is 0

The graph of y=3+2x-x^2 is shown.
Please answer will mark BRAINELIST

Answers

Answer:

turning point: (1, 4)

Roots: (-1, 0), (3, 0)

Step-by-step explanation:

The turning point is the vertex of the parabola, which occurs at point (1, 4).   The roots are the areas where the graph crosses the x-axis, referred to as the x-intercepts. The graph crosses the x-axis at points (-1, 0) and (3, 0).

4/7 + 2/7 = ? can yall plzz help me simplify the awnser

Answers

Answer:

6/7 is the correct answr

In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century. It has three tenets:
1. Living organisms are made up of cells.
2. Cells are the basic structural/organizational unit of all organisms.
3. All cells come from pre-existing cells.
What technology had the greatest impact on cell theory?

Answers

Step-by-step explanation:

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells. This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells

What is cell theory?

In biology, cell theory is a scientific theory first formulated in the mid-nineteenth century, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells.

Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.

The invention of the microscope allowed human to observe plant and animal cells, and as the technology advanced, scientists have been able to gain more knowledge about these different types of cells.

This shows that advancements in technology has paralleled the understanding and knowledge we have about these cells.

To know more about cell theory follow

https://brainly.com/question/1594446

Which fractions are equivalent to 1012?

Answers

[tex]50/60[/tex]

That should be your answer

Answer:

Hello, There! I'm here to help!

Question

Which fractions are equivalent to 10/12?

Answer

According to The Question I'm guessing you mean 10/12

If so The Following Fractions are Equilvalent to 10/12

1. 20/24

2. 30/36

3. 40/48

5. 50/60

Step-by-step explanation:

To get Eqilvalent You Can Multiply Number  to the fractions to find out what's Equilvalent

Therefore, I hope this helps you!

I NEED HELP WITH THIS PLSSS

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Answer:

B

Step-by-step explanation:

I'm just hungrey ahhaahhaahhahahahahahahahahahahhahahahahahahahahahhahahahahagahaha

Draw a Graph y=3/2x+2

Answers

The answer is in the graph.

Answer:in the picture

Step-by-step explanation:

please give me a brainliest answer

Regular consumption of presweetened cereals contributes to tooth decay, heart disease, and other degenerative diseases, according to studies conducted by Dr. W. H. Bowen of the National Institute of Health and Dr. J. Yudben, Professor of Nutrition and Dietetics at the University of London. In a random sample consisting of 20 similar single servings of Alpha-Bits, the average sugar content was 11.3 grams with a standard deviation of 2.45 grams. Assuming that the sugar contents are normally distributed, construct a 95% confidence interval for the mean sugar content for single servings of Alpha-Bits.

Answers

Using the t-distribution, the 95% confidence interval for the mean sugar content for single servings of Alpha-Bits is (10.15, 12.45).

In this problem, we have that:

Sample of 20, thus [tex]n = 20[/tex].Sample mean of 11.3 grams, thus [tex]\overline{x} = 11.3[/tex].Sample standard deviation of 2.45 grams, thus [tex]s = 2.45[/tex].

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

First, we find the number of degrees of freedom, which is one less than the sample size, thus df = 19.

Now, we have to find the critical value for a 95% confidence interval with 19 df, thus, looking at the t-table or using a calculator, t = 2.093.

Then:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.3 - 2.093\frac{2.45}{\sqrt{20}} = 10.15[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.3 + 2.093\frac{2.45}{\sqrt{20}} = 12.45[/tex]

The interval is (10.15, 12.45).

A similar problem is given at https://brainly.com/question/24232455

or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?

Answers

Answer:

adult tickets x=88  and senior tickets y=52

Step-by-step explanation:We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equation before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

(BRAINLIEST to best answer) - Write a linear equation that goes through (1, 3) and (2, 6).

Answers

Answer:

y = 3x

Step-by-step explanation:

Using the given points find the slope and the y- intercept.

y = mx + b

The slope is:

m = (6 - 3)/(2 - 1) = 3/1 = 3

The y- intercept is:

3 = 3*1 + b3 = 3 + bb = 0

The line is:

y = 3x
(1,3)(2,6)

Slope

m=6-3/2-1m=3

Equation in point slope form

y-3=3(x-1)y-3=3x-3y=3x

solve pls brainliest

Answers

2 4/9 hope this is right

Answer:

2 4/9

Step-by-step explanation:

1. To change an improper fraction to a mixed number, divide the numerator by the denominator. Then, write down the quotient as the whole number and the remainder (left over amount) as the numerator. Remember to NOT change the denominator.

2. Given the information above:

22 ÷ 9 = 2 R 4 2 4/9

Therefore, 22/9 as a mixed number is 2 4/9.

If you answer this question correctly I will give brainliest

Answers

Answer:

Final point:

(18,35)

Step-by-step explanation:

This is because the x=intercepts are increasing at a constant rate of 10.

Hope this helps :)

Choose all options that apply. In the US Customary System, which of the following terms is used to measure volume? a) Cup b) Tablespoon c) Liter d) Fluid ounce

In a multiple choice test, a candidate gets 3 marks for a correct answer and one mark is deducted for an incorrect answer. If Ayobi answers all 30 questions and scores 30 marks, how many questions did
she get wrong?

Reason too

Answers

Answer:

30/3 = 10

Step-by-step explanation:

Divide 30 by 3 to get your answer which is going to be 10

30 ÷ 3= 10

Since you get 3 marks each answer. You will divide 30 by 3. Which is 10.

What is the midpoint of CD?

Answers

Answer:

The endpoints of the line segment CD are:

$$C=(x_1,y_1)= (-4, 8) \\ D= (x_2,y_2)= (8, -4) $$

We find the midpoint using th

solve log2 base x + log4 base x + log8 base x = 12 ?​

Answers

Answer:

Step-by-step explanation:

Which of the following is the balance for a single $2,702 deposit in an account with an APR of 3% that compounds interest monthly and is invested for 37 years?

Answers

Answer:

the answer should be 6 if i am not wrong

Step-by-step explanation:

solve the equation 3/4x-5=x
give your answers correct to 2 decimal places

Answers

Given :

3/4x - 5 = x

To find :-

The value of x .

Solution :-

Taking the given equation ,

3/4x - 5 = x x - 3/4x = -5 4x - 3x /4 = -5x/4 = -5x = -5*4x = -20

What is the unit rate of 124 pages and 2 hours

Answers

Answer:

62 pages per hour.

Step-by-step explanation:

Divide 124  ÷ 2.

Reniel is 13 years old. He is two years younger than his brother, Gelo. If Gelo is five times older than their sister, how old is their sister?​

Answers

sister is 3

13+2=15
15/5=3

Please help! Will give brainliest if the answer is correct

Answers

Answer:

18+18√3

Step-by-step explanation:

We know that ,

Perimeter = 2(l + b)

On substituting ,

P = 2 ( l + b ) P = 2 ( 2 + 5√3 + 7 + 4√3 ) P = 2 ( 9 + √3(5+4)) P = 2 ( 9 + 9√3) P = 18 + 183

Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.

Answers

Step-by-step explanation:

Evaluate:

-[-1⅘ ÷ 0.3(1.2)] - 5/6

⇛-[- 20/5 ÷ 0.3(1.2)]-5/6

⇛- [-20/5 ÷ 0.36] - 5/6

⇛-[-20/5 ÷ 36/100] - 5/6

Here I have changed in expression decimal point into fraction by putting 100 in Denominator.

⇛-[-20/5 × 100/36] - 5/6

⇛-[(-20 × 100)/(5×36)] - 5/6

⇛-[-2000/180]-5/6

Remember (-) × (-) = +.

⇛2000/180 - 5/6

Now, LCM of the denominator 6 and 180 is 180.

⇛(2000 - 150)/180

⇛1850/180

Now, reduce the fraction by extracting and cancaling out by 2.

⇛825/80

Again reduce the fraction by extracting and cancaling out by 5.

⇛165/16 Ans.

Hope this helps!!

please help me with this sum​

Answers

Step-by-step explanation:

2667

1884

1953

782

2046

3105

8559

5368

963

3367

Answer:

381 x 7 = 2667

471 x 4 = 1884

651 x 3 = 1971

391 x 3 = 1173

341 x 6 = 2046

Hope its help full

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

Answers

Answer:

f(x)=-4

I recommend this math site that could help you with these kind of problems

M

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T

H

W

A

Y

.

C

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M

Step-by-step explanation:

Other Questions
MARKING BRAINLEIST IF YOU ARE RIGHT!! Please help me! ( ONLY ANSWER IF YOU KNOW)In a recent poll, less than 10 percent of American adults knew why the Bill of Rights was written! Something must be done to inform people, and you are just the person to do it. You will take on the role of someone who has recently been granted U.S. citizenship. Use your imagination to create your own name and story.As a new citizen, you are excited about the freedoms and rights that your new government protects. You would like to help other citizens, including immigrants like you, understand what these rights mean. Explore the tab box below to learn more about this assessment. To share your knowledge of the Bill of Rights with others, you will create a public service announcement that will appear around your community. Review the 10 amendments and explore examples of public service announcements to get started!To read the text of all 10 amendments, visit the Bill of Rights Institute.To see examples of public service announcements (PSAs), visit the Ad Council.Remember that you need to attract peoples attention with a catchy phrase or title. Then you need to keep their attention by being direct and creative. Reading or watching a PSA should take only a minute of peoples time. The public service announcement should include:Your imaginary nameAn explanation, in your own words, of one of the first 10 amendments to the ConstitutionAn explanation, in your own words, of why it is important for a person to know the amendment you choseAn example of how the amendment would be used todayYou can choose to present your public service announcement in many different formats. Here are a few suggestions to get you started. Brochure: Create a brochure about the Bill of Rights. Your brochure should be made on paper folded in thirds. You may use a computer program to create the brochure and use photos or drawing tools for illustrations.Television spot: Create a television spot about the Bill of Rights. Consider what images and information will best inform your viewers. Your television spot should be one to two minutes long.Podcast: Create a podcast about the Bill of Rights. Your podcast should be one to two minutes long. Consider how your tone of voice and possible sound effects might enhance your content.Poster: Create a poster about the Bill of Rights. Consider using photos or drawing tools to illustrate your poster. What does Ivan Jakovlevitch dowith the nose? reflective thought about gorge Herbert Mead of his theory of self?? Which word is unstressed in the last line of this stanza?watchwoodsfillsnow please help need this done by tomorrow thank you [PHOTO] tl Have Learned . Fill in the appropriate word to make the sentence correct. Write your answer on the space provided. The difference between cold and hot appetizers is their (1) Cold appetizers are served in (2) temperature while (3) appetizers literally are served in higher temperature. (4) appetizers are most of the time soup-based, made from bread, fried meats and other sizzling foods. On the other hand, 5) appetizers are made from fresh seafood, food wraps, and dip-based finger foods, particularly fruit and vegetables. Research and Piled Up 6 cm5 cm***-Find volume How did nationalism lead to the breaking of these empires?Austro-HungarianRussianOttoman HELLOOOO can somene help me Your going to love the new movie. solve the crossword usings hints below......................... what do psychologists call a relatively permanent change in behavior [tex]10 \times 25 \times 2255 + 52211[/tex]SolVe it. No spam. why does the skulls in the day of the death mean or why they are being used? What statement describes a controlled experiment katya studies spanish for three years, and then switches to pashto. when asked to remember spanish vocabulary she cant; instead she can only remember pashto vocabulary. this is an example of ________ interference. Diego can type 140 words in 4 minutes.At this rate, how long will it take him to type 385 words? How many words can he type in 15 minutes? If you get stuck, consider creating a table. How long does it take a 1.51 104 W steam engine to do 8.72 106 J of work? Round your answer to three significant figures. 1.02 101 s 5.77 102 s 7.21 105 s 1.32 1011 s PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?