Shwetha comes to the swimming pool once every 12 days. Vinnie comes once every 4 days and Olga comes once every 10 days. Last Monday all of them were in the pool. In how many days all of them will meet at the swimming pool again? What day of the week will it be?

Answers

Answer 1

Answer:

60 days, Friday

Step-by-step explanation:

This problem is solved using concept of LCM.

LCM is the least number which is the common multiple of given set of different number.

To find the LCM  we method of prime factors, the steps are given below

get all the all the prime factor of the given set of numberselect all the prime factors   as many times they occur in given set of numbermultiply together the numbers selected together to get LCM

________________________________________________

Given

frequency of visiting swimming pool by Shwetha = once in 12 days

factors of 12 = 2 * 2 * 3

frequency of visiting swimming pool by Vinnie = once in 4 days

factors of 2 = 2 * 2

frequency of visiting swimming pool by Olga = once in 10 days

factors of 10 = 2 * 5

minimum no of days after which they will be visiting together will be least common multiple of number of days after which they visit swimming pool individually.

Selecting the prime numbers with their highest occurrence

we have 2, 2, 3 ,5

multiplying them together we have

2 * 2 * 3* 5 = 60

therefore 60 is the LCM of 12, 4, 10

it means that Shwetha, Vinnie and Olga will visit swimming pool together once in 60 days

It is given that they visited on Monday  and now they will visit after 60 days again.

since in one week there are seven days, every eighth day will be monday

so we divide 60 days by 7 to see how many cycles of monday has passed.

60/7 = 8  4/7

It suggest that 8 weeks has passed and they will meet on 4 days after Monday  which will be Friday.

Thus they will meet meet at the swimming pool again in 60 days.

It will be Friday.

Answer 2

Answer:

60 days, friday

Step-by-step explanation:


Related Questions

In art class, the students were asked to draw a circle inside the square shown in the figure such that each of the sides of the
square is tangent to the circle at its midpoint. A student determined the center of the circle to be C(-2,0) and the radius to be
= 4. Evaluate the student's answer.
A. The student completed the assignment correctly.
B. The student did not complete the assignment correctly. The center is the origin.
C. The student did not complete the assignment correctly. The radius is n = 5.
D. The student did not complete the assignment correctly. The center is located at CC-2,4).

Answers

Answer:

a is the correct answer

30 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What is the volume of a rectangular prism with the following dimensions?

h = 2 ft, w = 5 ft, I = 7 ft

ANWSERS

o 28 ft3
o 70 ft3
o 90 ft3
o 118 ft3


plssssss help

Answers

Answer:

2 x 5 x 7= 70. Answer is B. o 70ft3. Have a great day

Step-by-step explanation:

Answer:

70 ft3

Step-by-step explanation:

Number five Please I really need it

Answers

I think the answer is y=6x

Drag each tile to the correct box. Not all tiles will be used.
Calculate the interest earned on each simple interest account given the original principal, annual interest rate, and length of time the account
was held. Match each amount to the corresponding account description.
$124.74
$99.66
$105.60
$126.72
$143.50
$106.60
$1,100 at 3.2% for 3 years
$990 at 3.15% for 4 years
$1,025 at 2.8% for 5 years​

Answers

Answer:

$1,100 at 3.2% for 3 years -> $105.60

$990 at 3.15% for 4 years  -> $124.74

$1,025 at 2.8% for 5 years​ -> $143.5

Step-by-step explanation:

Simple interest formula is:

A = P*(1 + r*t)

where A if final account, P is principal, r is annual interest rate (as decimal) and t is time in years

Interest earned is A - P, then:

I = P*(1 + r*t) - P = P(1 + r*t - 1) = P*r*t

If P = $1100, r = 0.032 and t = 3, then:

I = 1100*0.032*3 = $105.6

If P = $990, r = 0.0315 and t = 4, then:

I = 990*0.0315*4 = $124.74

If P = $1025, r = 0.028 and t = 5, then:

I = 1025*0.028*5 = $143.5

Answer:

Picture below

Step-by-step explanation:

What is the area of a circle that has a circumference of 37.7?
A. 113.1 yd ^2
B. 95.yd ^2
c.315.8 yd ^2
Brainliest to the best explanation.

Answers

Answer:

A. 113.1 yd^2

Step-by-step explanation:

2 × 22/7 × radius = 37.7 yd

radius = 37.7 × 7/44

= 5.9977 yd

Area = 22/7 × radius × radius

= 22/7 × 5.9977^2

= 113.056 yd^2

What is the set of all x values called? *

Answers

The domain of a relation is the set of all the x-terms of the relation.

If an x-term appears twice in a relation, only list in once in the domain.

Domain

All the values that can go into a relation or function (input) are called domains

The range is the set of all second elements of ordered pairs (y-coordinates)

How can you determine the period of a graph

Answers

Answer:

You need to find the cycle. It will be easier to show if a graph with it was shown

Step-by-step explanation:

Answer:

You need to find a cycle of the graph. But there is no graph. Download the graph to this page. Have a great day

Step-by-step explanation:

In a bag there are three red, four white, and five blue marbles. Once a marble is selected, it is not replaced. Find the probability of getting a white and a red marble

Answers

Answer:

1/119

Step-by-step explanation:

(3×4×5)+[(3×4×5)-1)

60+(60-1)

60+59

119

1/119

Calculate the value of x.

~ There is a hint but.... I stil don’t understand so can someone just do it for me and explain it? :3

Answers

I rlly don’t know man I’m dumb

Answer:

x= 103°

Step-by-step explanation:

The angle next to angle x is 77° because it is a corresponding angle to the original 77° angle (corresponding angles is basically a pair that lies in the same position as each other, as is the case with the 77° angle and the angle to the right of x°).

Now that we know that the adjacent angle to x is 77°, you can find x. Note that the line x and 77° are lying on is parallel. This means that they are supplementary angles, which means that the sum of both angles is equal to 180°. Insert this into an equation:

[tex]180=x+77[/tex]

Solve for x. Use inverse operations to subtract 77 from both sides:

[tex]180-77=x+77-77\\\\180-77=x[/tex]

Simplify subtraction:

[tex]103=x[/tex]

x is 103°.

an umbrella at a shop was marked for $6. during a slae a discount of 10% was given. A further 8% discount was given to senior citizens. how much would a senior citizen need to pay for the umbrella during the sale? Round you answer to the nearest cent.

Answers

Answer:

75

Step-by-step explanation:

Answer:

5.52

Step-by-step explanation:

this is because if you do

6 * 0.08 it would equal 0.48

then subtract 0.48 from 6

find the distance bewtween the points (3,3) and (-1,-2)

Answers

Answer:

[tex]\sqrt{41}[/tex]

Step-by-step explanation:

[tex]\sqrt{(3-(-1))^2+(3-(-2))^2}=\sqrt{16+25}=\sqrt{41}[/tex]

Hope this helps!

Can you please help me

Answers

Answer:

B 6/13 times 5/12 equals 5/26

Step-by-step explanation:

if the total marbles are 13, then 13 has to be the denominator

they said that 2 orange marbles are selected

then it is 6/13 times 5/13

Hopes this helps

Answer:

I think it is C

Step-by-step explanation:

I am right

A convenience store requires that you spend $4 or more if you want to pay
using a debit card. Donuts cost $0.80 each, and a cup of coffee cost $1.20.
If you will be buying a cup of coffee and donuts and you will be using
your debit card to pay, which inequality represents this situation? What is
the least amount of donuts you would need to buy in order to pay with
your debit card?

Answers

Answer:

4 Doughnuts

Step-by-step explanation:

.80+.80+.80+.80+1.20=4.40. You can't buy half a doughnut.

What is the measure of an angle whose sine is√3/2 ? 60 45 30
please I need entire explanation, and how do I use my calculator to fin the answer.

Answers

Answer:

60

Step-by-step explanation:

sin(theta) = sqrt(3)/2

On the calculator:

Press shift

Press sin

(It will show sin^-1)

Then enter sqrt(3)/2

Press =

It will give you an output of 60

Step-by-step explanation:

Step 1:  Find the answer

To find sine, that means we need to find the y-value where it equals √3/2.

If you know the unit circle, you know that the long side is √3/2 and the short side is 1/2.  So... in order to have the long side to be a y-value, that means that we need to have a long vertical triangle.  The angle that will fit this will be 60 degrees.

On you calculator, you should have a sin and you just type in something like this:  sin(60) and it should give you √3/2.

Answer:  Option A, 60

Identify the equation of the function. y=sqrt x-1+3

Answers

Answer: A

Step-by-step explanation:

Edg

can someone help please?

Answers

Answer: 19

Step-by-step explanation:

в та
If B = 49°13' and b - 10 find a
a. 4.6
b. 8.6
C.
d.
5.4
6.5

Answers

Answer:

A

Step-by-step explanation:

Find the radius of a circle with area equal to 153.86 square feet.
R = ?

Answers

Answer:

7 feet

Step-by-step explanation:

The area of a circle can be found using:

a=3.14*r^2

We know that the area is 153.86 square feet, so we can substitute 153.86 in for a.

153.86=3.14*r^2

Now, we have to solve for r. To do this, we need to get r by itself. First, divide both sides by 3.14

153.86/3.14=3.14*r^2/3.14

153.86/3.14=r^2

49=r^2

Now, r is being squared. The opposite of squared is the square root. So, take the square root of both sides .

√49=√r^2

√49=r

7=r

The radius is 7 feet

The radius of the circle with an area of 153.86 square feet is approximately 7 feet.

How to determine the radius of a circle with area equal to 153.86 square feet.

To find the radius of a circle given its area, you can use the formula:

Area = π * r^2

In this case, we are given the area as 153.86 square feet.

153.86 = π * r^2

To solve for the radius (r), we need to isolate it. Divide both sides of the equation by π:

153.86 / π = r^2

Now, take the square root of both sides to find r:

r = √(153.86 / π)

Using a calculator or approximating the value of π as 3.14, we can calculate:

r ≈ √(153.86 / 3.14) ≈ √49.0401 ≈ 7

Therefore, the radius of the circle with an area of 153.86 square feet is approximately 7 feet.

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Please answer for a chance to be entered in the iphone 11 pro giveaway!!!
Sponsered by Beyonce Carter !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5.8<x<6.0 I think

Step-by-step explanation:

why?

What should be true about the divisor (the number you are dividing by) in order for synthetic division to be
pretty straightforward?

Answers

Answer:

In order for synthetic division to be pretty straightforward, the divisor must be of the first degree (that is, the power of x must be exactly one.) and must have the binomial form x - a.

Unlike Long Division which makes use of the polynomials given directly, Synthetic Division makes use of the coefficients of this polynomials.

$5 PAYPAL + BRAINLIEST TO ANSWER THS

1) Please Rewrite this quadratic equation to
Standard Form: 3x^2=2x +5
2) Using your answer from 1): Assign values of a, b and c based on the
Standard Form of a Quadratic Equation
3) Find the value of the discriminant by substituting a,b and c from 2) and evaluating **Discriminant: ( )^2-4( )( ) = ?? **
4) Based on the discriminant, what type of solutions can we expect for this quadratic equation? Use complete sentences and proper grammar
IF ANSWERED PROPERLY I WILL MESSAGE YOU ASKING FOR YOUR PAYPAL EMAILING ADDRESS THANK YOU!

Answers

Answer:

Quadratic Equation:

[tex]3x^2=2x +5[/tex]

[tex]\text{Standard Form: } 3x^2-2x-5=0[/tex]

From the standard form of a Quadratic Function, we get:

[tex]a=3,\:b=-2,\:c=-5[/tex]

Discriminant:

[tex]\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)[/tex]

[tex]\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5[/tex]

[tex]\Delta=64[/tex]

From the discriminant, we conclude that the equation will have two real solutions.

State that:

[tex]b^2-4ac <0:\text{The equation has no real solutions, the solutions are complex}[/tex]

[tex]b^2-4ac =0:\text{The equation has 1 real solution}[/tex]

[tex]b^2-4ac >0:\text{The equation has 2 real solutions}[/tex]

By the way, solving the equation given:

[tex]$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$[/tex]

[tex]$x=\frac{2\pm\sqrt{64}}{6}$[/tex]

[tex]$x=\frac{2\pm8}{6}$[/tex]

[tex]$x_{1} =\frac{10}{6}=\frac{5}{3} $[/tex]

[tex]$x_{2}=\frac{-6}{6} =-1$[/tex]

Hello! I really need help with this problem!

Answers

Answer: No, yes, yes, no, yes, no, yes

Step-by-step explanation: When you graph the two functions together you can determine the verity of the differnt statements and the relation between the functions such as when and where they will collide, x and y intercepts, etc

Answer:

e

Step-by-step explanation:

what is 6x-6 degrees

Answers

Final answer:

The expression '6x - 6 degrees' is a linear algebraic function possibly related to geometry, where degrees might denote the measure of an angle.

Explanation:

The expression 6x - 6 degrees represents a linear function where x is typically a variable that stands for an unknown value to be determined, or it can represent an input into the function. The term degrees suggests that it may be related to angles in a geometric context. This expression simplifies to 6 times x minus 6 degrees, where the degrees could represent the measurement of an angle in geometry, or possibly a temperature dependent on the context, which is not provided here. When dealing with geometric problems, one often converts these expressions to a standard measurement, such as converting to radians or using decimal degrees for precision.

Which of these strategies would eliminate a variable in the system of equations?

( 6x + 5y = 1

16x - 5y = 7

Choose all answers that apply:

Answers

Answer:

B) Subtract the bottom equation from the top equation.

C) Add the equations.

Step-by-step explanation:

Let us analyze each of the options to see which one of them work.

A) Multiply the top equation by 7, then subtract the bottom equation from the top equation.

Multiplying the top equation by 7 gives:

7 * (16x + 5y) = (1 * 7)

112x + 35y = 7

Then, subtracting the bottom equation from this:

 112x + 35y = 7

-  (16x - 5y = 7)

=> 112x + 35y - 16x + 5y = 7 - 7

112x - 16x + 35y + 5y = 0

96x + 40y = 0

This method didn't eliminate any variable, so it didn't work for us.

B) Subtract the bottom equation from the top equation

This will yield:

  16x + 5y = 1

- (16x - 5y = 7)

=> 16x + 5y - 16x + 5y = 1 - 7

16x - 16x + 5y + 5y = -6

0x + 10y = -6

10y = -6

y = -6 / 10

Hence, one variable has been eliminated. It works.

C) Add the equations

This yields:

  16x + 5y = 1

+ 16x - 5y = 7

  32x + 0y = 8

  32x = 8

=>x = 8 / 32 = 1 / 4

This method works since one variable has been eliminated.

Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account.
a CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

d

Step-by-step explanation:

Answer:

d.  Checking account, savings account, money market account, CD

What are the solutions of 2x2 - 6x + 5 = 0 ?

Answers

Final answer:

(Option C: (3 + i)/2 and (3 - i)/2

The solutions to the quadratic equation 2x^2 - 6x + 5 = 0 are 1.5 + 0.5i and 1.5 - 0.5i, as the discriminant is negative and indicates there are no real solutions, only complex ones.

Explanation:

The solutions of the quadratic equation 2x2 - 6x + 5 = 0 can be calculated using the quadratic formula, which is:

x = (-b ± √(b2 - 4ac)) / (2a)

For the given equation, a = 2, b = -6, and c = 5. Plugging these values into the quadratic formula, we get:

x = (6 ± √((-6)2 - 4(2)(5))) / (2(2))
x = (6 ± √(36 - 40)) / 4
x = (6 ± √(-4)) / 4

Since the discriminant (b2 - 4ac) is negative, this equation has no real solutions and two complex solutions. The final solutions are:

x = (6 ± 2i) / 4

x = (3 ± i)/ 2
x = 1.5 ± 0.5i

The solutions are 1.5 + 0.5i and 1.5 - 0.5i.

YO Gang i need yo help pleaseeeeee!!
1. What is 5/6 of an hour?
2. What is 2/3 of an hour?
3. What is 0.25 of an hour?

Answers

5/6: 50 minutes
2/3: 40 minutes
0.25: 15 minutes

Answer:

5/6 of an hour is 50 minutes.

2/3 of an hour is 40 minutes.

0.25 of an hour is 15 minutes.

Which of these is an equation?


A

9x - 7


B

(b + 7) x 3


C

4x + 9 = 45


D

(⅔)x - 3 > c

Answers

The equation is 4x + 9 = 45 which is the correct answer would be option (C).

What is the equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, separated by an equal sign (=). The left side and the right side of the equation can contain variables, constants, and mathematical operations.

Option A: 9x - 7 is not an equation because it does not have an equal sign.

Option B: (b + 7) x 3 is not an equation because it does not have an equal sign.

Option C: 4x + 9 = 45 is an equation because it has an equal sign and shows that the left side and the right side are equal.

Option D: (⅔)x - 3 > c is not an equation because it does not have an equal sign. Instead, it is an inequality, which shows that one expression is greater than or less than another expression.

Hence, the correct answer would be an option (C).

Learn more about the equation here:

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The rule is applied to ΔFGH to produce ΔF"G"H". What are the

coordinates of vertex F" of ΔF"G"H"?


(4, –1.5)


(4, –0.5)


(–1.5, 4)


(–0.5, 4)

Answers

Answer:

A - (4, –1.5)

Step-by-step explanation: Hope it helps :D

Answer:

Its A

Step-by-step explanation:

Took the quiz on Edgenunity

Find the area of the regular polygon with the given radius or apothem. Why is the area?

Answers

Answer:56.52

Step-by-step explanation:2x3.14=6.28

6.28x3=18.84

18.84x3=56.52

The area of the given polygon is 11.7 cm².

Given is an equilateral triangle with radius of 3 cm, we need to find the area of the polygon,

The radius of a circumcircle of an equilateral triangle is equal to a/√3, where a is the side length of the equilateral triangle.

So,
a/√3 = 3

a = 3√3

Now the side length is 3√3 cm.

Now, the area of an equilateral triangle is:

A = √3 / 4 × side²

= √3 / 4 × (3√3)²

= √3 / 4 × 27

= 11.7 cm²

Hence the area of the given polygon is 11.7 cm².

Learn more equilateral triangle click;

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