tony completes one lap of a track every 20 seconds. diana completes one lap of the same track every 55 seconds. suppose tony and diana start at the starting line at the same time. how many seconds will it be before they cross the starting line at the same time again?​

Answers

Answer 1

Answer:

220 seconds.

Step-by-step explanation:

55, 110, 165, 220.

20,40,60,80,100,120,140,160,180,200,220.

Both have 220 in common so will cross at 220 seconds at the same time.


Related Questions

PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80

Answers

If a supposed number is n (say) then the consecutive number is n+1
If u add them n+(n+1) you get 157
So,
n+n+1=157
2n=156
n=78

Please help!! I’ll give you brainliest!!
I can even Venmo someone like 5$ if they wanna do it

Answers

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help!!


An experiment involves flipping a fair coin and rolling a fair six-sided die. List all possible outcomes of the experiment. Use an organized list, table, or tree diagram.


A. What is the probability of getting a head and an even number?

B .What is the probability of getting a tail and the number 4?

D .What is the probability of getting a 5?

Answers

Answer:

Step-by-step explanation:

1. 1/2

2. 1/4

3. 1/8



Which statement below about the quiz scores is true?

Answers

Answer:

need the whole question .....

Step-by-step explanation:

Answer:

The median score is 80 ;)

Step-by-step explanation:

. The face of a dog is symmetrical along the bridge of its nose, which falls on the line of symmetry
that extends directly between the eyes. If a dog's left eye is 4 inches from the bridge of its nose,
how far is the dog's right eye from its left eye?

Answers

Answer:

8

Step-by-step explanation:

line of symmetry indicates equal measurements between both sides, 4 from eye not nose and another 4 from the nose to eye

What is the area of this shape?

Answers

Answer:

720

Step-by-step explanation:

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!! IF YOU PUT A LINK YOU WILL BE REPORTED!!!!!!!!!

Answers

Answer:

A. False

B. True

C. True

D. True

Step-by-step explanation:

Hey man good luck that’s all i can say brotha

C In circle K, segment is tangent to the circle at point A. If the radius of the circle has a length of 5 units and the tangent has a length of 12 units, then what is the length of ?

Answers

The length of segment BC is approximately 10.92 units.

To find the length of segment BC, we can use the properties of a tangent to a circle.

In a circle, a tangent is perpendicular to the radius drawn to the point of tangency. Therefore, triangle ABC is a right triangle with AB as the hypotenuse.

Given that the radius of the circle is 5 units and the tangent AB has a length of 12 units, we can apply the Pythagorean theorem to find the length of segment BC.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (AB) is equal to the sum of the squares of the lengths of the other two sides (BC and AC).

Applying the theorem to triangle ABC:

AB^2 = BC^2 + AC^2.

Substituting the given values:

12^2 = BC^2 + 5^2.

144 = BC^2 + 25.

Rearranging the equation:

BC^2 = 144 - 25.

BC^2 = 119.

Taking the square root of both sides:

BC = √119.

Therefore, the length of segment BC is approximately equal to √119 units.

Since it's not possible to represent the square root of 119 exactly as a whole number or fraction, we can leave the answer as √119 or approximate it as a decimal. The decimal approximation for √119 is approximately 10.92.

For more such question on segment. visit :

https://brainly.com/question/28322552

#SPJ8

TRUE OR FALSE LOOK THE PHOTO

Answers

Answer:

False

Step-by-step explanation:

3 and 6 are alternating interior angles. If A and B were parallel, Angle3 would be equal to (180 - Angle6). Because the question indicated that they're congruent, the two lines are not parallel.

Help with number two please:)

Answers

15
Well 6x3=18
So 5x3=15

The cost of 12 oranges and 7 apples is 5.36. Eight oranges and 5 apples cost 3.68. Find the cost of each

Answers

Answer:

Apple costs $0.26

and orange costs $0.32

sorry i don't have time to explain but if u have doubts don't hesitate to ask

Make two equations
O = orange, A = allele
(12O + 7A = 5.36) 2
(8O + 5A = 3.68) 3
Make one of them same coefficient
24O + 14A = 10.72
24O + 15A = 11.04
Subtract both equations
-1A = -0.32
A = 0.32
24O + 14(0.32) = 10.72
24O + 4.48 = 10.72
24O = 6.24, O = 0.26
Solution:
One apple = $0.32
One orange = $0.26

What is the factored form of this polynomial? x2 + 5x − 36
A. (x + 4)(x + 9)
B. (x − 4)(x − 9)
C. (x − 5)(x + 8)
D. (x − 4)(x + 9)

Answers

Answer:

D. (x - 4)(x + 9)

Step-by-step explanation:

x2+5x−36

[think of numbers that add together to get 5 and multiply together to get -36!]

-4 + 9 = 5

-4 * 9 = -36

hope this helped! :]

Answer:

D: ( x - 4 ) ( x + 9 )

Step-by-step explanation:

By multipling the two friction :

x2 + 9x - 4x - 36

= x2 + 5x - 36

The value of [-10] is?
A.11
B.-10
C.-9

Answers

Answer:

B = -10

Step-by-step explanation:

the answer is B = - 10

Answer:

b. -10

Step-by-step explanation:

which of the following is a polynomial?

Answers

Answer:

D.

Step by step explanation:

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

(Thanks to ueknfiowlmneuYIBKt for helping! His profile is at https://brainly.com/app/profile/39601187)

Hope this helps!

i'll give brainliest

reflect (-4,4) in the x-axis

Answers

Answer:

(-4,-4)

Step-by-step explanation:

Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.

In this coordinate: (-4,4)

Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).

The new coordinates after being reflected across the x-axis are (-4,-4).

Chris said that a fraction equivalent to 9/12 is 3/6

Answers

Answer:

9/12 is equal to 3/4.

Step-by-step explanation:

9 and 12 can both be divided by 3. In the fraction, divide both the top and the bottom by 3 and you get 3/4.

9/12 simplified is 3/4.

I suspect where Chris went wrong was that he though 9 divided by 2 was 3. In reality, it's 4.5.

Maybe he went wrong because he accidentally divided 12 by 2 instead of 3.

The fraction 9/12 and 3/6 are not equivalent as 91/2 is 3/4.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Chris said that a fraction equivalent to 9/12 is 3/6.

We know we write fractions in the simplest form.

Now, In the fraction 9/12 we can factor out 3 to both the numerator and the denominator.

Therefore, The fraction 9/12 is equivalent to 3/4.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Help me explanation

Answers

Answer:

number 2 - x=50, y =69

Step-by-step explanation:

Angles in a polygon of a pentagon add up to 540

so 180 +125+98+98 = 429

540 - 429 = 111

now you do x = 50 so

2 times 50 which is 100

then plus 11 which is 111

Proving triangles similar

Answers

Answer: SIDE ANGLE SIDE

Answer these questions please i need to pass my grade but i dont know this

Answers

Ok guys don’t worry I will help you

Here’s a pic

First you got to find the area which is length x width x height.


I can’t attach two papers sorry but here’s the bottom

A Box Contain 2 yellow and 3 blue
Cards in how many ways Can 3 Cards
be selected if
(a) If at least 1 card must be yellow
(b) If at least 1 Card must be blue

pls show your Woking​

Answers

Answer:

2/5= yellow

3/5= blue

Step-by-step explanation:

total cards= 2(yellow) + 3 (blue)

=5 cards total

probability for drawing yellow card= 2/5

probability for drawing blue card= 3/5

Step-by-step explanation:

a)2:5

2/5x100=40%

b)3:5

3/5x100=60%

i don't what U want so, I hope it'll help U

can you help me with this??

Answers

9514 1404 393

Answer:

relative maxima: x=-3, +1relative minima: x=-1, +5

Step-by-step explanation:

The relative maxima are the peaks, the highest points. There are two of them. One is to the left of the y-axis at about x=-3; the other is to the right of the y-axis at about x=1.

The relative minima are the valleys, the lowest points. There are two of those, also. One is to the left of the y-axis at about x=-1; the other is to the right of the y-axis at about x=5.

relative maxima: x=-3, +1relative minima: x=-1, +5

Help please!
The answer choices are -3.73, 1.58, 3.00, and 3.73

Answers

Answer:

I think its 2.73 not sure tho

Step-by-step explanation:

Answer:

I got 3.73 (I am sorry if I am wrong I haven't done it in a while but I hope this helps!)

Step-by-step explanation:

giving brainliest !!
answer asap

Answers

Answer:

352 in squared

Step-by-step explanation:

Using the formulas

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c

2

Solving forA

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1

2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104

=352

Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4

Answers

Answer:(2,0) x=2,y=0

Step-by-step explanation:

Let's solve your system by elimination.

−x+y=−2;2x−3y=4

Multiply the first equation by 2,and multiply the second equation by 1.

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0 for y:

−y=0

−y/−1 =0/−1

(Divide both sides by -1)

y=0

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute0foryin−x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/−1 = −2/−1

(Divide both sides by -1)

x=2

(see picture) Find the measures of the numbered angles in each isosceles trapezoid.

Answers

1,365


I hope it’s correct please mark me :)

what happens to the graph of y = |x| when the equation changes to y |x-9|?

Answers

Answer: The graph will move 9 spaces to the right.

If the wholesale price of an item is $250 and the markup is 20%, find the retail price of the item. Please explain. Thank you.

Answers

20% of $250 is $50
So $300

Answer: 300

Step-by-step explanation:

20% of $250 is $50

So $300

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

90 degrees c

Step-by-step explanation:

Hope this helps and have a wonderful day!!!

Also can you give me brainlist???

Answer:

90 degrees celsius

7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51

Answers

Answer:

B. -27

Step-by-step explanation:

7*-5= -35           6*2 = 12 .          t= 4

-35 + 12 = -23

-23 - 4 = -27

Answer: B. -27

Step-by-step explanation:

7(-5) + 6(2) - 4

-35 + 12 - 4

-23 - 4

= -27

How many people ordered beer?

*it is not 15

Answers

Answer:

18 people ordered beer.

Step-by-step explanation:

15 + 3 = 18 people

Answer:

18

Step-by-step explanation:

Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.

Other Questions
The initial population is 1000 and population grows by 5% every year. The probability that a person is on Island 1 is 1/4 and the probability that the person is in Island 2 is 3/4. The money growth rate is a random variable. Let the probability be 4/5 that zt = 1 and the probability be 1/5 that zt = 2. The realized value of zt is kept secret until all purchases have occurred that is, people do not learn Mt until period t is over. Prices are only thing directly observable by the young. Let l(p_t^i )=10+0.4p_t^iSolve for the equilibrium price level in each of the islands. Note: for correct answers you are required to solve for the price level using a quadratic equation formula. .What does the price level tell the worker about the money supply change? For which observed prices, the government can exploit the Phillips Curve relationship to implement a policy to raise output and why? For which observed prices, the Philips curve relationship cannot be used and why. Explain your answers clearly.Q2: Consider an economy of three-period-lived people in overlapping generations. Each person is endowed with y1 goods when young, y2 goods when middle aged (not sufficient enough to fulfill the consumption needs of any middle aged person_ and nothing when old. The population of each generation born in period t is Nt , where Nt = n Nt1. The young can save a part of their endowment for capital which yields return after 2 periods. The rate of return on capital is x in 2 periods time and it depreciates at the rate d every period. Loans can be exchanged between the young and the middle-aged individuals, which the borrower must pay back to the lender in the next period.Explain how credit can be used to provide for consumption (the part that remains to be satisfied after consuming the available endowment) when middle-aged. Explain your answer in terms of the use and source of funds for these loans. Point out who lends to whom and write the condition for the equality of supply and demand for loans in period t. Write the budget constraints for the young, the middle-aged and the old with clear and fully explained/ well defined notations. Find an equation that represents the set of feasible stationary allocations in presence of a central planner and explain it in words. Write the formulas that can represent follow:1-First formula you have a set of providers and you want to select the best two of them to do your jobs.2-Second formula write the probability that can happen if some of the providers will get down so then he can not do the job. Suppose that you run a regression and find for observation 18 that the observed value is 15.0 while the fitted value is 13.56. What is the residual for observation 18? initially, michel and asaro found plutonium with the iridium in the kt boundary. which important feature of science proved they were incorrect? The production of agricultural products like wheat is one of the few examples of a perfectly competitive industry. In this question, we analyze results from a study released by the U.S. Department of Agriculture about wheat production in the United States in 2016.a. The average variable cost per acre planted with wheat was $115 per acre. Assuming a yield of 44 bushels per acre, calculate the average variable cost per bushel of wheat.b. The average price of wheat received by a farmer in 2016 was $4.89 per bushel. Do you think the average farm would have exited the industry in the short run? Explain.c. With a yield of 44 bushels of wheat per acre, the average total cost per farm was $7.71 per bushel. The harvested acreage for wheat in the United States decreased from 48.8 million acres in 2013 to 43.9 million acres in 2016. Using the information on prices and costs here and in parts a and b, explain why this might have happened.d. Using the above information, what do you think will happen to wheat production and prices after 2016? Please complete the following stock transactions by recording your responses on the spreadsheet template we used in class for the practice question. 1. Hunt Incorporated is authorized to issue an unlimited number of no par value common shares. Record the journal entries for the following: a. Issued 3 000 shares at $12 per share. b. Issued 250 shares to the lawyer for a $3 000 legal bill. c. Issued 8 000 shares for building with a fair market value of $90 000. d. Executed a 2 for 1 common stock split. What rhetorical device is used in the following statement from President Bush's 9/11 Address to the Nation?"These acts. . . cannot dent the steel of American resolve." according to sartre, subjectivism is the view that all philosophy is just a matter of opinion. group of answer choices true false You are the manager of a monopoly, and your demand and cost functions are given by P = 300 - 3Q and C(Q) = 1,500 + 2Q^2, respectively. a. What price-quantity combination maximizes your firm's profits? Price: $ Quantity: units b. Calculate the maximum profits. $ c. Is demand elastic, inelastic, or unit elastic at the profit-maximizing price-quantity combination? d. What price-quantity combination maximizes revenue? Price: $ Quantity: units e. Calculate the maximum revenues. $ Light is incident along the normal on face AB of a glass prism of refractive index 1.52, as shown in the figure (Figure 1). Find the largest value the angle alpha can have without any light refracted out of the prism at face AC If the prism Is immersed in air. Find the largest value the angle alpha can have without any light refracted out of the prism at face AC if the prism is immersed in water. Consider the data set that is summarized in the R Output below. leaf unit: 1 n:13 1 1 0 2 2 7 2 3 4 4 35 4 5 mm (5) 4 5 33478 6 2677 (a) Find the values of Q1 and 23. (b) Find the median (c) Find the adjacent values. (Note: See this example for the relevant definitions and an example.) (d) Which of the following is a correct modified boxplot for this data set? .Which of the following journal entries is correct when a company owns its office building for many years and now sells the building?A. Cash xxxAccumulated depreciation xxxLoss on sale xxxBuilding xxxB. Cash xxxBuilding xxxGain on sale xxxAccumulated depreciation xxxC. Cash xxxAccumulated depreciation xxxLoss on sale xxxBuilding xxxD. Cash xxxGain on sale xxxBuilding xxx jones blair case how might one characterize the architectural paint coatings industry? We want to predict academic performance through attention and the level of motivation of students. We are before a study:Select one:a. Multiple regression with two independent variables and one dependentb. Multiple correlation with three variablesc. both answers are correct if someone plans to do the best thing, with the least amount of harm towards others, they'll determine who would be impacted by the decision and how it will affect them. this is an example of which ethical theory? which is a limitation of the whitaker approach to family therapy? A charge of 12 C passes through an electroplating apparatus in 2.0 min. What is the average current?A) 1.0 A B) 0.60 A C) 0.24 A D) 0.10 A E) 6.0 in which compound does oxygen have an oxidation number other than 2? select the correct answer below: co2 h2o h3po4 h2o2 What is the value of studying the humanities in the field of health professions? The following events occurred at Moore's Hobbies and Crafts store during the most recent fiscal year:Purchased merchandise costing $99,000.Had sales revenue for the year totaling $145,000; the merchandise sold was purchased for $85,000.Paid $7,500 transportation-in costs.Incurred selling and administrative costs equal to 10 percent of sales revenue.All transactions, sales and purchases, were for cash.An inventory account at the end of the year indicated merchandise costing $94,500 was on hand.Required:Give the amounts for the following items in the Merchandise Inventory account:a. Ending balance (EB)b. Transfers-out (TO)c. Transfers-in (TI)d. Beginning balance (BB)