A two person relay race consists of eight times around a football field. Juan runs four and one-sixth times around and Antonio runs three and two-thirds times around the field. What are the distances they ran as improper fractions?
A. Juan: 11/3 ; Antonio:25/6
B. Juan: 3 2/3 ; Antonio:4 1/6
C. Juan: 4 1/6 ; Antonio: 3 2/3
D. Juan: 25/6 ; Antonio: 11/3

Get the variable alone by doing the same thing to both sides. You will divide 5 by both sides which gets you to 5n/5 = -20/5. You can then cancel out the 5n/5 to get just n. Then find the greatest common factor of the numerator and denominator of -20/5, and then cancel out the GCF.

The answer is n = -4

The solution to the equation 5n = -20 is n = -4.

To solve the equation 5n = -20, you can follow these steps:

Step 1: Divide both sides of the equation by 5 to isolate the variable n.

(5n) / 5 = (-20) / 5

Simplifying the equation gives you:

n = -4

So the solution to the equation 5n = -20 is n = -4.

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To convert a fraction or decimal to a degree, convert the fraction to a decimal if necessary, and then multiply by 360 to get the degree measurement.

The question is about how to convert a fraction or decimal to a degree, which is fundamentally a process of unit conversion. While the base information provided relates to converting decimals to percents and vice versa, converting to degrees requires a different approach.

To convert a decimal to a degree, you need to understand that one whole turn (360 degrees) equals a value of 1 in decimal form. If you have a decimal, you simply multiply it by 360 to get the degree measure. For a fraction, you convert it to a decimal by dividing the numerator by the denominator and then multiply by 360 to convert to degrees.

For example, to convert the fraction 1/2 to degrees, first convert it to a decimal (1 divided by 2 equals 0.5), then multiply by 360 to get 180 degrees. Similarly, to convert the decimal 0.25 to degrees, you would multiply 0.25 by 360 to get 90 degrees.

The only of these that is a proper set of ordered pairs for this equations is A) (0,-4) (1,2) (3,14)

In order to prove this, you need to put each ordered pair into the equation and prove that it is a true statement. Below are the examples of this for A.

(0, -4)

y = 6x - 4

-4 = 6(0) - 4

-4 = 0 - 4

-4 = -4 (TRUE)

(1, 2)

y = 6x - 4

2 = 6(1) - 4

2 = 6 - 4

2 = 2 (TRUE)

(3, 14)

y = 6x - 4

14 = 6(3) - 4

14 = 18 - 4

14 = 14 (TRUE)

Therefore, each of these ordered pairs works in the equation.

The set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, is a function, y = 6x - 4, we need to identify the possible inputs and outputs of the function from the given ordered pairs,

To find the same, we need to put each ordered pair into the equation,

(i) (0, -4)

y = 6x - 4

-4 = 6(0) - 4

-4 = 0 - 4

-4 = -4 [correct]

(ii) (1, 2)

y = 6x - 4

2 = 6(1) - 4

2 = 6 - 4

2 = 2 [correct]

(iii) (3, 14)

y = 6x - 4

14 = 6(3) - 4

14 = 18 - 4

14 = 14 [correct]

Therefore, each of these ordered pairs satisfy the equation.

Hence, the set of ordered pair which is representing the inputs and outputs of the given function is (0,-4) (1,2) (3,14)

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Given

You created a new playlist in 100 of your friends listened to it and shared if they liked

The new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Dylan said that for every three people who like to playlist one person did not

Find out  Do Nadhii and Dylan Agree or not.

To proof

As given in the question

created a new playlist in 100 of your friends listened to it and shared if they liked

new playlist said the ratio Of people who liked the playlist to those who did not like the playlist is 75:25.

Simply the ratio of people who liked the playlist to those who did not like the playlist

[tex]= \frac{75}{25}[/tex]

[tex]= \frac{3}{1}[/tex]

Thus  

[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]

also

Dylan said that for every three people who like to playlist one person did not

In the form of ratio written as

[tex]\frac{People \ like \ the \ playlist}{People \ didnot \ like \ the\ playlist}=\frac{3}{1}[/tex]

the value of both new playlist  and Dylan said about the ratio of people who liked the playlist to those who did not like the playlist is 3:1.

The value both of their ratio are equivalent .

Thus Nadhii and Dylan Agree

Hence proved

1) Given

Because it was given to you

2) Opposite sides in 1 ray

3) supplementary

Because Supplementary angles add up to 180 degrees

5) Opposite angles are congruent

6) Transitive property

Because you proved earlier that m<4=m<1

7) Supplementary

Because Supplementary angles add up to 180 degrees

Forgive me if the computer program doesn't accept the wording that I provided and marks the answer as wrong

The correct answer is C. They are going down by 3.

Answer: 1/20 pounds

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, we have to subtract the amount of clay used (1/5 +1/4) to the amount of clay available (1/2).

Mathematically speaking:

1/2 lb - ( 1/5 lb +1/4 lb) =  

1/2 lb - 9/20 lb = 1/20 lb = 1/20 pounds

Answer:

Yes it can be rounded to the nearest whole Number 14

Step-by-step explanation:

$6.24. This is because 1.44 / 6 = 0.24, and 0.24 x 26 = 6.24.

the answer is $37.44

7 1/3 because 7 times 3 equals 21 then you add 1 and it makes 7 and 1/3

Divide 3 with 22

22/3 = 7.33  repeating

7.33 = 7 1/3

3 goes into 22 7 1/3 of a time

hope this helps

Simplifying

2(3(4 + p) + p) + p

2((4 * 3 + p * 3) + p) + p

2((12 + 3p) + p) + p

Combine like terms: 3p + p = 4p

2(12 + 4p) + p

(12 * 2 + 4p * 2) + p

(24 + 8p) + p

Combine like terms: 8p + p = 9p

24 + 9p

Answer:

The  speed of air in still air =570 mph and

speed of wind = 40 mph

Step-by-step explanation:

Given that plane travelled 2135 miles in 3.5 hours with the wind.

Let the velocity of plane be x and that of wind be y.

Then with the wind speed =x+y and

against the wind the speed = x-y

Use distance = time x speed

Since travelled 2135 miles in 3.5 hours we have

2135 = 3.5 (x+y) ... i

Similarly with x-y speed it travelled 1855 miles in 3.5 hours

i.e. 1855 =   3.5(x-y) ... ii

Solving these two we can get x and y

i-ii gives

3.5y+3.5y = 2135-1855 = 280

i.e. 7y =280

Or y = 40 mph

Substitute in i

3.5(x+40) = 2135

x+40 = 610

x = 570 mph

Hence the  speed of air in still air= x =570 mph and

speed of wind = 40 mph

To find the speed of the plane in still air and the speed of the wind, set up a system of equations using the given information and solve them simultaneously.

To find the speed of the plane in still air and the speed of the wind, we can set up a system of equations using the given information. Let's call the speed of the plane in still air 'p' and the speed of the wind 'w'.

Given that the plane traveled 2135 miles with the wind in 3.5 hours, we can represent this as p + w = 2135/3.5.

Similarly, given that the plane traveled 1855 miles against the wind in 3.5 hours, we can represent this as p - w = 1855/3.5.

Solving these two equations simultaneously will give us the values of 'p' and 'w'.

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Given function: c(x) = 0.5x+70.

Where c is the cost (in dollars) and x is the number of miles you drive the truck.

If we compare given function by slope-intercept form y=mx+b, we get

Slope m = 0.5 in fractions could be written as 1/2.

And y-intercept b =70.

So, in order to graph it, we need to plot y-intercept at 70 first and then plot some more points using rise/run = 1/2.

The red line is the graph for the given function.

We can see that starting value of cost is $70 for 0 number of miles.

x values represents domain and C(x) represents range.

We can take x values greater than or equal to 0 and C values greater than equal to 70.

Therefore, Domain: x≥0 and Range : C(x) ≥ 70.

I think that it's B, y = -x - 7 because first you'd subtract y to get it on the other side then add x and then you'd need to make the y positive so you would divide x + 7 by -1 and that would make it y = -x - 7.

Answer:

Step-by-step explanation:

Start with  -x = y + 7.  Subtract 7 from both sides.  Then y = -1x - 7.  This is the equation in slope-intercept form.

93a - 3b - 10a + 6 = (93a - 10a) + (-3b) + (6) = 83a - 3b + 6

$720 becuase 120 divded by 1/6 is 720 and your mathbook couldve helped to

Answer:

[tex]\frac{1}{6}s = 120[/tex]

Step-by-step explanation:

Given : Israel added $120 to his savings. This added amount represents 1/6 of his total savings.

To Find : If s represents the total savings, which equation could be used to determine the value of s?

Solution :

Israel added $120 to his savings.

This added amount represents 1/6 of his total savings.

Let s be the total savings

So, ATQ

[tex]\frac{1}{6}s = 120[/tex]

So, The equation could be used to determine the value of s is [tex]\frac{1}{6}s = 120[/tex]

A- Stable electron configurations are likely to contain - filled energy sub-levels.

B- How many unpaired electrons are in a sulfur atom (atomic number 16)? Answer is 2

Answer:

Conexus:

Step-by-step explanation:

B, C, D, C, C, A.

we have that

[tex]y > -x-2[/tex]

using a graphing tool

see the attached figure

The solution is the shaded area above the dashed line

The slope of the line is m=-1

The x-intercept is the point (-2,0)

The y-intercept is the point (0,-2)

therefore

the answer in the attached figure

The sum of 6 and 3: 6+3

The difference of 6 minus 3: 6-3

The sum of 6 and 3 divided by the difference of 6 minus 3: [tex]\frac{6+3}{6-3}[/tex][tex]=\frac{9}{3}=3[/tex]

I hope this helps :)

Final answer:

To solve the expression given in the question, perform subtraction first (6-3), then addition (6+3), and finally, divide the sum by the difference to get the answer, which is 3.

Explanation:

The question asks us to find the sum of 6 and 3 divided by the difference of 6 minus 3. To find this, we must apply the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Firstly, let's find the difference of 6 minus 3:
6 - 3 = 3.

Now we shall find the sum of 6 and 3:
6 + 3 = 9.

Lastly, we divide the sum by the difference we found earlier:
9 / 3 = 3.

So the answer to the question is 3.

0.75(x+20)=2+0.5(x-2)

Distribute on both sides

0.75x+15= 2+0.5x-1

Add common factors

0.75x+15=1+0.5x

Subtract 0.5x on both sides

0.25x+15=1

Subtract 15 on both sides

0.25x=-14

Divide by 0.25 on both sides

x = -56

The value of x that will make both equations to be equivalent to each other is = -56

From the equation:

0.75(x + 20) = 2 + 0.5(x - 2)

Open brackets

0.75x + 15 = 2 + 0.5x - 1

Collect like terms

0.75x - 0.5x = 2 - 1 - 15

0.25x = - 14

Divide both sides by 0.25

[tex]\mathsf{\dfrac{0.25x}{0.25} =\dfrac{ - 14}{0.25}}[/tex]

x = -56

Therefore, we can conclude that the value of x that will make both equations to be equivalent to each other is -56

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Remark

I'm going to interpret this equation as

D = ut + kt²  The only difference is the 2.

Solution

Subtract kt² from both sides.

D - kt² = ut   Now divide by u on both sides.

[tex]\dfrac{D - kt^2}{t} = \dfrac{ut}{t}[/tex]

The t's cancel out. on the right.  You are left with u on the right.

[tex]\dfrac{D - kt^2}{t} =\text{u}[/tex]

Answer:

17 hours and 3 hours.

Step-by-step explanation:

Let us assume that Annie travels x hours and Brian y hours.

Then given that x = 5y+2

Together they travelled = total hours of both = x+y

Substitute x = 5y+2 in the total distance.

We have an equation in a single variable y as

= 5y+y+2 = 20

Simplify to get

6y+2 = 20

subtract 2

6y = 18

Divide by 6

y =3

x =5y+2

= 5(3) +2=17 hours

Annie traveled 17 hours and Brian 5 hours.

The probability is 15%.

The answer you are looking for is 15%.

To find this answer, you must add up all the CDs to find the total. The total number of CDs is 40, which you divide into 6 (6/40). In doing so, you'll get 0.15, which you multiply by 100 to make it a percent. Thus making the answer 15%.

I hope this helps!

She will need 51

3.4 multiple by 6 for the sq feet then multiple by 3.4 which gives  

24.4 sq feet divided by .4 is 51

Answer:

180 tiles.

Step-by-step explanation:

We have been given that Vanessa wants to cover her closet floor with tile’s that are 1/3 feet on each side the closet is 3 1/3 feet wide on a 6 foot deep.

To find the number of tiles needed to cover the closet floor, we will divide area of closet floor by area of each tile as:

[tex]\text{Area of closet floor}=3\frac{1}{3}\text{ feet}\times 6\text{ feet}[/tex]

[tex]\text{Area of closet floor}=\frac{10}{3}\text{ feet}\times 6\text{ feet}[/tex]

[tex]\text{Area of closet floor}=10\text{ feet}\times 2\text{ feet}[/tex]

[tex]\text{Area of closet floor}=20\text{ feet}^2[/tex]

[tex]\text{Area of each tile}=\frac{1}{3}\text{ feet}\times \frac{1}{3}\text{ feet}[/tex]

[tex]\text{Area of each tile}=\frac{1}{9}\text{ feet}^2[/tex]

[tex]\text{Tiles needed to cover the closet floor}=20\text{ feet}^2\div \frac{1}{9}\text{ feet}^2[/tex]

Convert into division problem by flipping the fraction:

[tex]\text{Tiles needed to cover the closet floor}=20\times\frac{9}{1}[/tex]

[tex]\text{Tiles needed to cover the closet floor}=180[/tex]

Therefore, Vanessa needs 180 tiles to cover the closet floor.

Clue 1 : My number has two digits,and both digits are even.

Clue 2: the sum of my numbers digits is 10.

Clue 3. My number has 4 as a factor.

Clue 4 the difference between the two digits of my number is 6 .

If we see first option: A. 28.

a) Both digits 2 and 8 are even.

b) Sum of 2 and 8 is 10.

c) 28 has a factor 4.

d) Difference between 8 and 2 is 6.

Therefore, correct option is A. 28.

Answer:i would say A)28

Step-by-step explanation:

Answer:

Cost equation = 5x + 25000

Step-by-step explanation:

Given: The producing the product is 25,000 plus $5.00 per piece.

x is the number of pieces.

Production cost = fixed cost + cost per piece * number of piece.

Given: Fixed cost = $25000 and cost per piece - $5.00

Now plug in these values in the production cost equation.

So, to produce x number of items, the cost = 25000 + 5x

Which can be written as

Cost equation = 5x + 25000

Remember that parentheses come first. Follow PEMDAS