Two bugs run along the rectangular frame starting from the same corner. The bug who runs east is 2 inches per second faster that the bug who runs south. After one second, the distance between them is 10 inches.Find the speed of the bugs.

Answers

Answer 1

Answer:

6 and 8

Step-by-step explanation:

i go to rsm too lol

Answer 2

When there is change of position of an object in any direction, the rate of such change is termed as speed. Speed can be measured as the ratio of distance covered to time taken to cover that distance. The formula for speed is:

[tex]\rm Speed = \dfrac{\rm Distance}{\rm Time}[/tex]

For the given question, the speed of the bugs is [tex]\rm 4\: inch/s[/tex] and [tex]\rm 6\: inch/s[/tex].

Calculations:

Given:

Speed of bug in the east is [tex]\rm 2\:inch/s[/tex] more than the bug running in south.

Let the speed of first bug be [tex]\rm x[/tex]

Then the speed of second bug is [tex]\rm x + 2[/tex]

Time taken is 1 second

and distance covered is 10 inches

We know that :

[tex]\rm Speed = \dfrac{\rm Distance}{\rm Time}\\[/tex]

[tex]\begin{aligned} \rm Total\:speed \:of\:both\:bugs &= x + (x + 2)\\&= 2x + 2\end[/tex]

Therefore,

[tex]\begin{aligned} \rm 2x + 2 &=\dfrac{10}{1 } \\\\2x + 2 &= 10\\\\2x &= 10 - 2\\\\2x &= 8\\\\x &= \dfrac{8}{2}\\\\x &= 4\end[/tex]

Hence the speed of first bug is [tex]4\: \rm inch/s[/tex] and the speed of second bug is [tex]\rm 6\: inch/s[/tex].

Learn more about speed here:

https://brainly.com/question/7359669


Related Questions

Mr mcClary writes the equation 3(3x-10)=5(x+10)

Answers

3(3x-10)=5(x+10)
9x-30=5x+50
+30 +30
9x = 5x+80
-5x -5x
4x=80
/4 /4
x=20

Write the following numbers in order from least (smallest) to greatest (largest). *
1, 3, -1, 0, -5

Answers

Answer:

-5 , -1 , 0 , 1 , 3

Step-by-step explanation:

62. Which of the following polynomials cannot
be factored by factoring out a GCF?
a. 9x2 - 81x + 27
b. 15x2 + 3x
c. 2x + 4
d. 3x2 + 12x + 14

Answers

Step-by-step explanation:

d

joke mmmk,k

nm,iikkk,mk

The polynomial 3x²+12x+14 cannot be factored by factoring out a GCF. Therefore, option D is the correct answer.

What is factorization?

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

Here,

a) 9x²-81x+27

In the given trinomial, in each term 9 is the common factor, so, the GCF of the trinomial is 9.

Thus, 9(x²-9x+3)

b) 15x²+3x

The factors of each terms of binomial is listed below

15x²=3×5×x×x

3x=3×x

So, the GCF is 3x

Now, 3x(5x+1)

c) 2x+4

The factors of each terms of binomial is listed below

2x=2×x

4=2×2

So, the GCF is 2

Now, 2(x+2)

d) 3x²+12x+14

In this trinomial there is no common term.

Therefore, option D is the correct answer.

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ2

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?

Answers

Answer:

The amount Lilian needs to invest is $5,160

Step-by-step explanation:

The parameters of the amount Lilian is going to invest in an account are;

The interest rate the account pays = 5.7%

The final amount the investment is expected to reach after the given time period = $7,600

The number of years of the investment = 7 years

The formula for compound interest is presented as follows;

[tex]A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}[/tex]

Where;

A = The final amount = $7,600

P = The amount Lilian is to invest

r = The interest rate = 5.7% = 0.057

n = The number of times the interest is applied per time period = 1

t = The number of period that passes = 7 (years)

Therefore, we get;

[tex]7,600 = P \cdot \left(1 + 0.057 \right)^{7}[/tex]

∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754

The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160


2. Which is greater in each pair?
Explain how you know
3.45×10³ or 2x 10²

Answers

The first one is greater i think

please help , thank you !!!!!!1

Answers

Answer is 7.
55+5X=90
5X=90-55
5X=35
X=35/5
X=7

if the radius of the circle becomes two times what will be the new area of the circle​

Answers

Answer: So when you double the radius, the area goes up by 4 times because 2 squared is 4. The area will always go up by the square of how much the radius goes up. By contrast, the circumference will only double -- from 12.56 to 25.12 because you do not square the radius (or diameter) -- you just multiply it by pi.

Step-by-step explanation:

Hsisocoosmfiks Gm and no I need

Benji is distributing candy to trick or treaters for Halloween.
• After 7 trick or treaters, he has 117 pieces of candy remaining
• After 12 trick or treaters, he has 102 pieces of candy remaining
How many pieces of candy does each trick or treater get?

Answers

Answer:

3 pieces:)

Step-by-step explanation:

12-7=5

117-102=15

15/3=5

YOU CAN BUY 5 BANANAS FOR $2.50. HOW JAST
MUCH WILL IT COST TO BUY / BANANAS? YOU
BUY
Please Help!

Answers

Answer:

It will cost $12.50

2.50x5= 12.5 bananas

3. Describe how you would find the unknown amount in the story.

Answers

Answer:

Identify all equations or possible expressions to solve for and evaluate. Find clues, use context clues and try to find out/identify other problems then solve for it bit by bit put them together to solve for.

(also there is no story)

What percent of 380 is 76?

Answers

Answer:

The percentage of 76 out of 380 can be found by division.

76/380 = 0.2

So, 76 is 20% of 380

Let me know if this helps!

There are 666 people in Eden's family. Each person drinks 5/2 liter of milk each week.

Answers

Answer:

2 and 2/5 gallons of milk.

plzz help me this is due today!!​

Answers

Answer:

I may be wrong, but the answer I got is 205°

plzzz help with this

Answers

The volume of the cylinder is 1,286.1.

find the volume of the cylinder please, I'll mark brainliest if you can help! ​

Answers

The answer is, V≈1130.97

Lol can you help if you can

Answers

Answer:

y= (x - 12)^3

y= (x - 4)^3

Step-by-step explanation:

Shift to the right is a horizontal shift so it needs to be with x in the parenthesis. And negative because it is to the right.

y= (x - 12)^3

y= (x - 4)^3

are the two that fit those criteria

Answer:

y = (x - 12)^3

y = (x - 4)^3

Step-by-step explanation:

If you look in the picture, red line is y = x^3 (the original parent equation), green line is y = (x - 4)^3, and blue line is y = (x - 12)^3

the backyard of a new home is shaped like a trapezoid with a height of 42 ft and bases of 88 ft and 111 ft. what is the cost of putting sod in the yard, if the landscaper charges $0.26 per square foot for sod​

Answers

I think it’s pretty interpretative, the reason I didn’t divide 483/2 like you would normally with a triangle, is because there are 2 triangles in a trapezoid. Also you can split the two triangles off the trapezoid because in a trapezoid the train for will awkward be right.

Explain how to solve me equation
C/6=9

Answers

Answer:

c=54

Step-by-step explanation:

6 times 9

Question 10 of 10
Place
Is a city Is In North America
India
Tokyo

Houston


Peru
New York


Tijuana


Canada
Let event A - The place is a city.
Let event B - The place is in North America.
Which outcomes are in A or B?
O A. {Tokyo, Houston, New York, Tijuana, Canada)
B. {Tokyo, Houston, New York, Tijuana)
C. (Houston, New York, Tijuana, Canada)
OD. (Houston, New York, Tijuana}

Answers

Answer:

this is A {Tokyo, Houston, New York, Tijuana, Canada}

Step-by-step explanation:

The outcome of A or B is

{ Tokyo, Houston, New York, Tijuana, Canada }

Option A is the correct answer.

What is a set?

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, and the complement of sets.

We have,

Let event A = The place is a city.

Let event B = The place is in North

Now,

We can make two sets:

A = { Tokyo, Houston New york, Tijuana

B = { Houston, New York, Tijuana, Canada }

The outcomes in A or B.

A or B

= { Tokyo, Houston, New York, Tijuana, Canada }

Thus,

{ Tokyo, Houston, New York, Tijuana, Canada } is the outcome of A or B.

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ7

la semana pasada compramos berenjenas a un precio de 2,7soles/kg y patatas aun precio de 0,7soles/kg pagamdo por ellas en total de 15,1soles. sin embargo, esata semana hemos pagado 18 soles por una compra con la misma cantidad de estas hortalizas a un precio de 2soles por kilo de berenjenas y 1,2soles por kilo de patatas.calcula la cantidad de hortalizas que se compran

Answers

Que buena pregunta .....

A person whose eyes are 5 feet above the ground is standing on the runway of an airport 100 feet from the control tower. That person spots one of the air traffic controller at the window of the 132 foot tall tower. What is the angle of elevation to the nearest tenth of a degree?

Answers

Answer:

132-5 therefore the height from the eyes to the window is 127

100 feet away from the base of the tower  

This forms two legs of a triangle

trying to find the degrees of this triangle.

Since its the two legs, you can use tanx which = to opposite side/adjacent side

Therefore, it is tanx = 127/100

But you are looking for x so arctan(1.27)

Must use calculator to find x.

Calculate the percentage of your daily intake for Total Fat, Saturated Fat, Protein, Fiber, and Carbohydrates based on a 2000 calorie/day diet.

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

HELP PLEASE!!! ILL MARK BRAINLIEST FOR WHOEVER ANSWERS FIRST!!!!! MATH QUESTIONS!!!! ONLY GOING FOR 35 MINUTES!!!!!

Fill in the blanks to describe how to find solutions to systems of equations by graphing.
The solution to a system of equations is the _________________________ where the two lines
_______________.
If the two lines in the system have different slopes, there will be _______________ solution(s).
If the two lines in the system have the same slope and different y-intercepts, there will be
_______________ solution(s).
If the two lines in the system have the same slope and the same y-intercept, there will be
_______________ solution(s).

Answers

Step-by-step explanation:

2nd is same solution

3rd is different solution

4th is same solution

(how I did this is by simply mathematics )

+ - = -

+ += +

Can someone explain please? Answer + explanation :(

Answers

Answer:

I don't understand this please explain what I am looking at

Step-by-step explanation:

Describe a situation in which you might add 1/3+1/4+1/2

Answers

Answer:

wwdwaDwadfafwfwefwfwefwefwefwefwefwweqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq

Step-by-step explanation:

an example could be like measurements for baking a cake cups, teaspoons, etc

Find the volume of the cone. What is the radius? 12 What is the height? 5 Write the volume in terms of pi (1/3 times radius squared times the height only). π km3 Solve for the volume (Multiply by 3.14 this time). km3

Answers

Answer:

can you post a pitcure of the question... i cant really understand the words like this.

Step-by-step explanation:

Use the distributive property to write an expression that is equivalent to 8(a + 4).
?

Answers

the answer to this expression is 8a+32

giving brainliest! (look in attached image)

Answers

Answer: 50$

Step-by-step explanation:

15:3=5$

25:5=5$

30:6=5$

60:12=5$

5$ x 10=5=50$

By rounding to one significant figure,estimate the answer to this question: 798 divided by 8 times 41 so I know it's 800 divided by 10=80 and 41 turns to 40 so it's 80x40 but no matter what I type in it's the wrong answer :/ just wanna make sure

Answers

Answer: Try this:

Step-by-step explanation:

798 rounded to one sig. fig. = 800.

8 is already just one sig. fig.

41 rounded to one sig fig. Is 40.

800/8x40

800/320 = 2.5.......

Rounded to one sig fig. =3

Or if you left the entire equation as is and just rounded the answer to 1 sig. fig.

798/(8x41) = 2.4329.......

rounded to one sig fig =2

Without knowing what specifically the question wants estimated to one significant figure, there could be multiple answers.

The estimate of the equation to one significant figure is 2.

What is a significant figure?

Significant figures are the digits in a number that is significant and required to denote a value and also add to the correctness of that value.

The way we will solve this equation is to first determine the final value and then approximate it to 1 significant figure.

[tex]\mathbf{= \dfrac{798}{8 \times 41}}[/tex]

= 2.4329

2 (to one significant figure)

Learn more about significant figures here:
https://brainly.com/question/24491627

#SPJ6

Plz help ASAP!!

Which two rational numbers does v14 lie between?

Answers

Answer:

19/8 and 22/7

Step-by-step explanation:

Answer:

[A. 19/6 and 22/7]

Step-by-step explanation:

Other Questions
Write one paragraph explaining what makes an argument effective please I need and answer quick FILL IN THE BLANK________________ and ________________ use glucose to supply the ______________ they need to live. Can someone help me please HELP PLEASE!! (100 points)Describe what happens to particles of matter as you cool the matter to absolute zero(OK). In your description, be sure to explain the changes in kinetic energy andparticle motion Which of the following describes a blended family?O A. One parent and a biological child, with support from aunts andunclesB. Two parents and biological children onlyO C. Two adults, each with children from previous relationshipsD. Two parents, biological children, and grandparents from themother's and father's sides WILL MARK BRAINLIST!!!!!!!!!!!!! A student wrote the following sentence.Keiko handed her castle project to her teacher that was late.How does the misplaced modifier cause confusion in the students sentence? Virginia Enterprises makes all purchases on account, subject to the following payment pattern: Paid in the month of purchase: 30% Paid in the first month following purchase: 65% Paid in the second month following purchase: 5% If purchases for April, May, and June were $200,000, $160,000, and $250,000, respectively, what was the firm's budgeted payables balance on June 30 Guys pls help me!!!!!!! I need help ASAP!!!! Calculate the area of the shape. Are students at a university subject to the same level of justification for searches as students in high school?YesNo Someone can u pls help me I will mark brainliest I'm have trouble with dis Simplify the expression. (5)3 A. 25 B. 125C. 125D. 15 5 What is the connection between the two statements within the same sentence in paragraph 9: "the sun had dried stray shreds of moss," and "he was able to warm himself with hot water"? A The sun had dried the moss and heated his water. B He could make a fire since the sun had dried the moss to heat the water. C He could sit on the moss in the sun as he drank his water. D He could eat the moss and drink the hot water provided by the sun. Marcia is given an incomplete chemical equation that includes the number of nitrogen atoms present in the products of the reaction. How can she conclude that the reaction started with three nitrogen atoms? Helpppppppppppppppppppp This map could be used to support a document based essay on 1. Use the information to answer the question.Central AmericaCharacteristics of _____?-Soil consisting primarily of desert, sand, and salt flats-Arabic language-Strong influence of Islamic religion.Which of these regions best replaces the question mark in the title?A)West AfricaB)Central AmericaC)Southwest AsiaD)Eastern Europe volume!! please help asap will give brainly thing!please show your work if possible