Two people are jogging around a circular track in the same direction one person can go to completely around the track in 21 minutes the second person takes 18th if they both start running in the same direction at the same time how long will it take them to be together at this place if they continue to run

\(\dfrac{5bc}{10b^2}=\dfrac{\not 5\cdot \not b\cdot c}{2\cdot \not 5\cdot \not b\cdot b}=\dfrac{c}{2b}\)

Answer:

c / ( 2b)

Step-by-step explanation:

5bc/10b^2

Lets look at the numbers first

5/10 = 1/2

Then the variable b

b / b^2 = 1/b

Then the variable c

c/1 = c

Putting them back together

1/2 * 1/b * c/1

c/ 2b

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answer:

8. 16,648

9. 1,394

10. 3

11. 9,570

Step-by-step explanation:

8. Total means all together so you need to add all of the attendants together.

2118 + 3391 + 4785 + 6354 = 16,648

9. How many more signifies the need to use subtraction to get your answer so you need to subtract the number of attendants in 2011(3,391) from the number of attendants in 2012(4,785)

4,785 - 3,391 = 1,394

10. How many times more signifies the need to use division in order to get the answer since it is the opposite of multiplication. So, you need to divide the number of attendants in 2010(2,118) from the number of attendants in 2013(6,354)

6,354 / 2,118 = 3

11. Twice the attendance signifies the need to use multiplication to find your answer so you need to multiply the number of attendants in 2012(4,785) twice(2).

4,785 x 2 = 9,570

Hope this helped! <3

In the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

In the given diagram, we have ACDE as a quadrilateral, and we know that CD is congruent to CE. To identify two congruent angles, let's examine the properties of the quadrilateral.

Since ACDE is not specified to be a particular type of quadrilateral (such as a parallelogram or rectangle), we cannot directly infer congruent angles from its properties.

However, we can make use of some general properties of quadrilaterals to identify two congruent angles. One property is that the sum of the interior angles of a quadrilateral is always 360 degrees.

Let's consider angle C as one of the angles in ACDE. Since CD is congruent to CE, we can denote angle CDE as angle C' to represent the congruent angles.

Now, using the property that the sum of the interior angles of a quadrilateral is 360 degrees, we can express the relationship between the angles of ACDE as:

∠ACD + ∠CDE + ∠DEA + ∠EAC = 360 degrees

Since CD is congruent to CE, angles CDA and CEA are also congruent (opposite angles in a quadrilateral). So, we can rewrite the equation as:

∠ACD + ∠CDA + ∠C'EA + ∠EAC = 360 degrees

Since we want to identify two congruent angles, let's focus on angles CDA and C'EA. These two angles are formed by the intersection of the congruent sides CD and CE with different adjacent sides.

Therefore, we can conclude that angles CDA and C'EA are congruent in ACDE.

In summary, in the quadrilateral ACDE, we can identify two congruent angles: angle CDA and angle C'EA.

for more such question on angles visit

https://brainly.com/question/25716982

#SPJ8

Answer: \(9.38\times10^{33}\)

Step-by-step explanation:

Given: Molecules in a liter of water = \(3.35\cdot10^{25}\)

A certain river discharges about \(2.8\cdot10^8\) liter of water every second.

Molecules in river = \(3.35\cdot10^{25}\times2.8\cdot10^8\)

\(=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}\)

Hence, there are \(9.38\times10^{33}\) does the molecules in river per second.

Option B is a correct representation of the given number line,  -3.8 < 1.5, and is located to the left of 1.5.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.

Given a number line and two points marked on it,

-3.8 and 1.5

we find from the number line that -3.8 lie left to 1.5,

and the negative numbers are always less than the positive numbers,

so -3.8 is less than 1.5,

-3.8 < 1.5, and lie left to 1.5.

Hence, option B is correct.

Learn more about number lines;

https://brainly.com/question/13425491

#SPJ1

Answer:

Step-by-step explanation:

6/9 - 6/9 = 0

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

To learn more about arithmetic operation, click on below link:

https://brainly.com/question/10639071

#SPJ1

Answer:

620 milliliters

Step-by-step explanation:

1 milliliter= 0.001 liters

0.62L= move the decimal point 3 places to the left

0.62

06.2

062.

0620.

620 milliliters

Answer:

p= 1/3 or 0.33 repeating

Step-by-step explanation:

5-19p=-p-1

5=18p-1

6=18p

divide by 18

6/18 = 1/3 or 0.33 repeating

Answer:

-3

Step-by-step explanation:

First, isolate the like terms, and try to keep the variable positive:

Add p to both sides:

-1=5-9p+11p

Subtract 5 from both sides:

-6=-9p+11p

Combine like-terms:

-6=2p

Divide:

-3=p

I hope this helps! :D

Pls give thx and brainliest if I’m right!

Answer:

81 degrees

This is an acute angle since it’s less then 90 degrees

Step-by-step explanation:

All three angles of a triangle always equal 180 degrees

180-(78+31)

180-109

81 degrees

Hopes this helps please mark brainliest

Answer:

  v ≈ 4.2

Step-by-step explanation:

Multiply both sides of the equation by 8v/17.

  \(\dfrac{17}{8}=\dfrac{9}{v}\\\\\dfrac{17}{8}\cdot\dfrac{8v}{17}=\dfrac{9}{v}\cdot\dfrac{8v}{17}\\\\v=\dfrac{72}{17}\\\\\boxed{v\approx4.2}\)

Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

After subtracting the given two distances, It can be obtained that the mall is five and a half kilometers further than the grocery store from the house.

If there are three points \(A, B, C\) and the distance between \(A\) and \(B\) is \(d_1\)  and the distance between \(A\) and \(C\) is \(d_2\). Also, \(d_2 > d_1\). Then the distance between \(B\) and \(C\) can be obtained by subtraction \(d=d_2-d_1\).

Given that the distance from the house to the grocery store is five and one-quarter kilometers i.e., \(d_1=5.25\) km and the distance from the house to the mall is ten and three-quarter kilometers i.e., \(d_2=10.75\) km.

So, the distance from the grocery store to the mall is \(d=d_2-d_1=10.75-5.25=5.5\) km.

Therefore, after subtracting the given two distances, we can conclude that the mall is five and a half kilometers further than the grocery store from the house.

To learn more about subtraction, refer: https://brainly.com/question/17301989

#SPJ9

Answer:

8

Step-by-step explanation:

The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

To learn more about simplification visit

https://brainly.com/question/4356706

#SPJ1

The total cost of downloading 20 songs is $45.

The total cost of downloading ss songs is $11 + $1.0ss.

What does the word "cost" mean?

During the manufacturing or production of a company's goods and services, every expense incurred by the company is referred to as a cost.

                            In simplest terms, it is the amount of money that businesses invest in buying and selling goods.

The total cost of the of downloading songs is the sum of the fee per month and the cost of downloading songs.

Total cost of downloading 45 songs = cost per month x cost of downloading 45 songs

$11 + ($1 x 45)

$11 + $45

$56

Total cost of downloading ss songs = $11 + ($1 x ss)

$11 + $1ss

Learn more about cost

brainly.com/question/15135554

#SPJ1

The equation is:

R - 8 = 4

So to get R all by itself, you can add+8 to BOTH sides of the equation. This will 'cancel' the -8 that is next to R.

R - 8 + 8 = 4 + 8

-8 + 8 = 0 so let's simplify:

R + 0 = 4 + 8

Simplify a little more:

R = 12

A Budget is best defined as a financial plan that estimates how much money you will need to spend to cover your expenses. That is option D.

Budget can be defined as the financial document that is used to show the estimation of intending expenses, and how much would be required to meet such expenditures.

The importance of budget include the following:

Therefore budget is used by companies and business organizations to estimate how much money they will need to spend to cover their expenses.

Learn more about budget here:

https://brainly.com/question/24940564

#SPJ1

Answer:

Step-by-step explanation:

Answer:

5/16

Step-by-step explanation:

10/32

Find common factor: 2

Divide by common factor

10/32 ÷ 2/2

=5/16

Answer:

5/16

Step-by-step explanation:

Find lowest common factor of both 10 and 32, which is 2. Divide both 10 in numerator and 32 in denominator by 2 to get \(\frac{5}{16}\)

The measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively.

Given that angle is - 90°.

For the coterminal angles that are closer to -90° than any other coterminal angle, consider angles that have the same initial and terminal sides as -90°.

Since -90° is in the fourth quadrant, look for angles that also fall in the fourth quadrant.

One positive coterminal angle in the fourth quadrant would be 270°.

This angle is closer to -90° than any other coterminal angle in the fourth quadrant.

One negative coterminal angle in the fourth quadrant would be -450°.

This angle is also closer to -90° than any other coterminal angle in the fourth quadrant.

So, the measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively, both in the fourth quadrant.

To learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ4

Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

The value of n can be determined by finding the number of visible arcs in the pattern, which is 30 in this case.

To determine the value of n, we need to find the relationship between the total length of visible areas and the number of circles (n).

In the given pattern, each circle contributes to the visible area twice: once as its circumference and once as the overlapping part with the adjacent circles. Since the circumference of each circle is 1 unit, the visible area contributed by each circle is 2 units.

Therefore, the total length of visible areas can be expressed as 2n. Given that the total length is 60 units, we can set up the equation:

2n = 60

Solving this equation, we find:

n = 60/2 = 30

Thus, the value of n is 30.

For more questions on number of visible arcs:

https://brainly.com/question/31336038

#SPJ8

Answer:

A. 1,2,3,4

B. 1,2,3

C. 5 and up

D. $30

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The required equation that can be used to represent the lumens, L, after x screen layers are added is \(l = 750(0.75)^x\). Option B is correct.

The equation is the relationship between variables and is represented as y = ax+ v an example of a polynomial equation.

Let L be the power of the bulb in lumens and x be the number of layers added to the screen. Since every layer decreases the brightness of the blubs by 25%, The sequence in which the light brightness gets decreased.

For number of screen x = 1
= 750(1 - 0.25)
For number of screen x = 2
= 750(1 - 0.25)(1 - 0.25)
For number of screen x = 3
=750(1 - 0.25)(1- 0.25)(1-0.25)
.... so on

The above observation can be computed as power (1 - 0.25)  increasing after adding a number of screens,

Now
\(L = 750(1 - 0.25)^x\\L = 750(0.75)^x\)

Thus, The required equation that can be used to represent the lumens, L, after x screen layers are added is \(l = 750(0.75)^x\).

Learn more about the equation here:

brainly.com/question/10413253

#SPJ5

Answer:

195.2

Step-by-step explanation:

Multiply 48.8 and 4