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

Rashawn read 25 pages of his book each day until he finished the book. his book was 400 pages long. which sketch represents this situation?

Answers

Answer:

It took 16 days

Step-by-step explanation:

400/25=16

Moly has 83.50 in her savings account.she deposits 15 every week

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Answer:

she will spend 5 weekings taking out mobey and with 13.50 left over

Step-by-step explanation:

like a good neighbor...........?

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Answer:

state farm is there!

Step-by-step explanation:

state farm is there............?

A farmer has 1804 feet of fencing available to enclose a rectangular area bordering a river. If no fencing is required along the river, find the dimensions of the fenced
area that will maximize the area. What is the maximum area?
What is the length of the fenced area?

Answers

Answer:

length: 601 1/3 area: 361601 7/9

Step-by-step explanation:

the maximum area would be a square, and we only need 3 sides, so we can divide the amount of fencing by 3

1804/3=601 1/3

the length is 601.(3)

square to find the area

(1804/3)^2

361601 7/9

area is 361601 7/9

Khả năng gặp rủi ro khi đầu tư vào các dự án I, II tương ứng là 9%, 7% và gặp rủi ro đồng thời khi đầu tư cả hai dự án là 4%. Nếu đầu tư cả hai dự án, tính xác suất để: a) Ít nhất một dự án gặp rủi ro. b) Chỉ dự án I gặp rủi ro

Answers

Answer:

pogi mooooo loooodsssssssss

What is the value of y?
Y
Y
60
O A. 120°
B. 60°
C. 40°
O D. 30°

Answers

Answer:

B. 60°

Step-by-step explanation:

1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.

2. (Solving)

Step 1: Simplify both sides of the equation.

[tex](y+y)+(60)=180[/tex] [tex]2y + 60 = 180[/tex]

Step 2: Subtract 60 from both sides.

[tex]2y + 60 - 60 = 180 - 60[/tex] [tex]2y = 120[/tex]

Step 3: Divide both sides by 2.

[tex]\frac{2y}{2}=\frac{120}{2}[/tex] [tex]y = 60[/tex]

Step 4: Check if solution is correct.

[tex](60)+(60)+60 = 180[/tex] [tex]120 + 60 = 180[/tex] [tex]180 = 180[/tex]

Therefore, the answer is B. 60°.

maria buys 2 dozen pens at $7.20 a dozen. she then sells the pens at 80c each. calculate her profit​

Answers

Her profit is $4.80 :)

$7.20•2=$14.40
24 pens • $0.80 =$19.20
$19.20-$14.40=$4.80 profit :)

the value of 3√343 is (a) 8 (b)7 (c)6 (d)3​

Answers

the answer will be 3.
7 maybe, if I’m right

Please answer both of them questions please no links or you will be reported

Answers

if ur a u r so good but bot a good

Factor out the coefficient of the variable term.
4x - 20
Factored expression:

Answers

Answer:

[tex]4(x-5)[/tex]

Step-by-step explanation:

The expression 4x - 20 has the greatest common factor (GCF) of 4.

[tex]4x-20\\4(x-5)[/tex]

Therefore, the factored expression is 4(x - 5).

The coefficient of the variable for the expression 4x - 20 is found as 4.

What is defined as the coefficient of the variable?A coefficient is just an integer that is either written alongside or multiplied by a variable. A coefficient, in other words, is the numerical factor of the a term containing constants and variables. For example, the coefficient in the term 12x is 12.

For the given question,

The expression is given as;

4x - 20

where,

4 is the coefficient of the variable of the expression.

-20 is the constant in the expression.

Thus, the coefficient of the variable is found as 4.

To know more about the coefficient of the variable, here

https://brainly.com/question/1038771

#SPJ2

n) Using the given information, determine the medal category in which the United States far outperformed its closest competitor. Show your working to justify your answer.

Answers

The medal category in which the United States far outperformed its closest competitor is the gold medal category.

In order to determine which medal category the United States far outperformed its closest competitor, we need to determine the difference in the medals gotten by the United States and its closest competitor for each medal category. The medal category with the largest difference is the correct answer.

Gold medal

Medals US got = 1022

Medals the closest competitor had = Soviet Union = 440

Difference = 1022 - 440 = 582 medals.

Silver medals

Medals US got = 794

Medals the closest competitor had = Soviet Union = 357

Difference = 794 - 357 = 437 medals

Bronze medals

Medals US got = 704

Medals the closest competitor had = Germany = 349

Difference = 704 - 349 = 355 medals

Please find attached the table containing information used to answer this question. A similar question was answered here: https://brainly.com/question/18257586?referrer=searchResults

help for brainliest also 30 points

Answers

[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)

[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]

[tex]\\ \sf\longmapsto 6x-4x=56[/tex]

[tex]\\ \sf\longmapsto 2x=56[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

What is the sum of the roots of the quadratic equation x²+6x-14=0?​

Sum of Roots = ___ Product of Roots = ____​

Answers

Answer:

Sum of Roots = (-8) Product of Roots = (-84)

Step-by-step explanation:

[tex] {x}^{2} + 6x - 14 = 0[/tex]

Roots :- 6 and -14

Sum of the roots :

[6 + (-14)]

= (-8)//

Product of the roots :

[(6)(-14)]

= (-84)//

It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty"."Sleeping Beauty" Yan Limeng

Answers

Answer:

It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty".

Step-by-step explanation:

It is well known that Yan Limeng can be called "beauty" in Asian aesthetics, but why I call it "Sleeping Beauty" is because she slept a lot of Americans, so she called it "Sleeping Beauty".

I need help answering this question can anyone help me out I am very confused.

Answers

Answer:

-4

Step-by-step explanation:

If you solve the inequality, you'll get

5x - 5 > - 20

5x > -15

x < -3

So you know that x values can be from -∞ to -3

So in the interval of [-4,3] the only value less than -3 is -4 so that's the answer.

Hope this helps! :)

A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 100 m long and 60 m wide.
Find the area of the training field. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

3.14 × 30²

3.14 × 900

2826 m

so,

area of rectangle + area of circle = area of the training field.

6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

The value of A is -6. The difference between A and C is 6. Type all possible values of C.

Answers

Answer:

-12, 0

Step-by-step explanation:

A= -6

If A-C = 6 then, A-6=C

-6-6 =C

C= -12

or C-A =6

C=A+6

C= -6+6

C=0

Help me please help me help please

Answers

Answer:

4

Step-by-step explanation:

-4/-1 = 4

Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.

Answers

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

hurry help!!!!! im doing a math portfolio and i dont remeber what is 15.33 rounded to the nearest whole is!!! please HELP ME ITS WORTH 30 POINTS OF MY GRADE!!

Answers

Answer:

15

Step-by-step explanation:

Cause 15.33 is closer to 15 than 16.

Answer:

15 is the answer I know I already told you but here it is again

Step-by-step explanation:

Maybe brainliest if I helped???

Its 15 because if the decimal after the whole number is less than 0.5 you go to the closest whole number down. Meaning whatever the whole number is attached to your decimal lower than 0.5 is your answer. If it's higher than 0.5 or IS 0.5 you round the nearest whole number, so one bigger than the number attached to your decimal. So if it was say:

15.67

The nearest whole would be 16

I hope I helped!


What is the Domain and range of y = 2 x - 11 + 2

Answers

Step-by-step explanation:

the domain is the set or range of valid values for x.

the range is the set or range of valid values for y (= f(x)).

if you did not miss anything in your problem statement, then I see a function

y = 2x - 11 + 2

no restrictions are defined.

so, domain and range are both the interval

(-infinity, +infinity).

notice the round brackets, as "infinity" is never a value and cannot be included in an interval.

now, if you missed a division sign and the function looks like

y = 2/x - 11 + 2

then we know, x must never be 0, as a division by 0 is undefined.

so, the domain in that case would be

-infinity < x < 0, 0 < x < +infinity

or short

x <> 0

the range would still be every possible value in

(-infinity, +infinity).

Culver has 1 quarter, 3 dimes and 1 penny. How much money does he have

Answers

Answer:

56 cents

Step-by-step explanation:

1 quarter = 25 cents

3 dimes = 30 cents

1 penny = 1 cent -_-

25 + 30 + 1 = 56

Help Help Help!!!!!!

Carrie's starting annual salary is $54,020. At the beginning of each new year, she recieves a 2,535 raise. What will her salary be after 15 years?

A. $86,975
B. $89,510
C. $92,045
D. $98,510

Answers

Answer:

Step-by-step explanation:

B is the answer

Answer:

C is the answer

Step-by-step explanation:

2,535 x 15= 38,025 + $54,020= $92,045 or C

Brainliest will be appreciated thank you!

What is 4 times 4 and 5555 times 8999989

Answers

Answer:

4 *4 = 16

16 * 5555 = 88880

88880 * 8999989 = 799919022320

Brainliest :D

Step-by-step explanation:

Answer:

49994938911

Step-by-step explanation:

(4times4)(5555times8999989)

Please help thank you

Answers

sorry i dk

.................................

Find the product of 44.6 and 2.24.

(Show your work)

Answers

Answer:

46.84

Step-by-step explanation:

Add the decimals first to get .84 then add the real numbers to get 46.

Complete the square to rewrite y = x^2 - 6x + 16 in vertex form. Then state wether the vertex is a maxium or minimum and give its coordinates.

A. Maximum at (3,7)
B. Maximum at (-3,7)
C. Minimum at (3,7)
D. Minimum at (-3,7)

will give brainly!!’

Answers

Answer:

C) Minimum at (3,7)

Step-by-step explanation:

Recall that vertex form is [tex]y=a(x-h)^2+k[/tex]:

[tex]y=x^2-6x+16[/tex]

[tex]y=(x^2-6x+9)+7[/tex]

[tex]y=(x-3)^2+7[/tex]

Therefore, the vertex is [tex](h,k)[/tex] or [tex](3,7)[/tex] in this case. Because the parabola is positive, then the vertex has to be the minimum of the parabola, making choice C correct.

Graph the line that passes through the points (-3, -5)(−3,−5) and (-6, -3)(−6,−3) and determine the equation of the line.

Answers

equation of the line: y=-2/3x - 7
graph of the line:

four snack bars contain 0,2 34% 6/20 and 13/50 which snack bar contains the most amount of calories from fat

Answers

Answer:

The second snack bar  (34%)..

Step-by-step explanation:

Convert all to %:

0.2  * 100 = 20%

6/20 = 30%

13/50 = 26%

34%   <-------- This one.

Answer:

34%

Step-by-step explanation:

34%=34/100 =O.34 which is the greatest decimal compared to the rest

please just work out the last one. thank you if u can do all

Answers

I made an f in math last year

Answer:

a) 1.8

b) 11.8

c) 23.6

Step-by-step explanation:

1) 2.4+1.6+3.2+0.3+1.5=9

you divide 9 by 5 because that is the number of elements in the data.

9/5=1.8

2) the total would be 50 more because 5*10=50.

50+9=59

59/5=11.8

3) i think this question is referencing the previous question.

59*2=118

118/5=23.6

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