Two in-line skaters, Nell and Kristin start from the same point and skate in the same direction.Nell skates at 8 mile per hour and Kristin skates at 10 miles per hour. if they can keep up the pace for 4.5 hours, how far apart will they be at the end of the time?

Answers

Answer 1

At the end of 4.5 hours, Nell and Kristin will be at a distance of 9 miles apart.

Here, we are given that Nell and Kristin start from the same point and skate in the same direction.

Speed of Nell = 8 miles per hour

Time for which he skates = 4.5 hours

Thus, the distance travelled by Nell will be-

Distance = Speed × time

= 8 × 4.5

= 36 miles

Similarly, Speed of Kristin = 10 miles per hour

Time for which he skates = 4.5 hours

Thus, the distance travelled by Kristin will be-

= 10 × 4.5

= 45 miles

Thus, the distance between them will be-

45 - 36 = 9 miles.

Thus, at the end of 4.5 hours, Nell and Kristin will be at a distance of 9 miles apart.

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Answer 2

Nell and Kristin, two inline skaters, begin at the same location and move in the same direction. While Kristin skates at 10 miles per hour, Nell skates at 8 miles per hour. 5 miles apart will they be at the conclusion of the 4.5 hours if they maintain their current rate.

Distance =Rate x time ....... d=rt

The difference in the distances traveled will be how far apart they are 12(2.5)-10(2.5)=2(2.5)=5 miles apart

Note that you can find their individual distances and subtract those to get the same answer:

Nell: distance =10(2.5)=25 miles

Kristin: distance =12(2.5)=30$ miles

30-25=5 miles apart

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

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Related Questions

Question 9 of 25
Give the slope of y-3= 4(x+8) and a point on the line.
OA. The slope is 3 and (-8, 4) is on the line.
B. The slope is 8 and (3, 4) is on the line.
OC. The slope is 4 and (-8, 3) is on the line.
OD. The slope is 4 and (8, -3) is on the line.
SUI

Answers

The  slope of the line y-3= 4(x+8) is  4 and (-8, 30 is a point on line y - 3 = 4(x + 8).

According to the given question.

We have a equation of a line y-3= 4(x+8).

Here, we have to find the slope of a line y-3= 4(x+8) and a point on the line.

Since we know that, the equation of a lines through a point (x1, y1) is given by y - y1  = m(x - x1), where m is the slope of the line.

And the equation of slope intercept form for a line is y = mx + c.

So, compare the given equation of line y-3= 4(x+8) with the standard equation of line y - y1  = m(x - x1)  which passes through the point (x1, y1), we get

point ( -8, 3) on line y-3= 4(x+8).

Now, the slope intercept form of the line y-3= 4(x+8) is

y - 3 = 4x + 32

⇒ y = 4x + 32 + 3

⇒ y = 4x + 35

Thereofore, the slope of the line y-3= 4(x+8) is  4.

Hence, the  slope of the line y-3= 4(x+8) is  4 and (-8, 30 is a point on line y - 3 = 4(x + 8).

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simplify 3 • 3^2 + 8 divided by 2 - (4 + 3)

Answers

[tex]3 \cdot 3^2 + 8 : 2 - (4+3) =[/tex]

[tex]3 \cdot 3^2 + 4 - 7=[/tex]

[tex]3 \cdot 9 +4 -7=[/tex]

[tex]27 + 4 - 7 = 24[/tex]

==axel134==

NO LINKS! Please help me with these problems​

Answers

Answers in bold:

Problem 4) Shift 6 units left, 1 unit down

Problem 5) Shift 3 units right. Vertically stretch by a factor of 2.

The graphs are below.

==========================================================

Explanation:

In problem 4, the parent function is y = x^2

Replace every x with (x+6) and it will shift the parabola 6 units left. Why left instead of right? It's because the xy axis is moving 6 units to the right. Each old input x is now 6 units larger to get x+6. The xy axis moving 6 units right gives the illusion the curve shifts 6 units left. It's a bit backwards I know.

Luckily the -1 at the end is straight forward and it shifts everything down by 1 unit. This is because we subtract 1 from the y coordinate.

So that's how we get the "6 units left, 1 unit down" translation. No horizontal nor vertical dilations occur.

I recommend using GeoGebra or Desmos or similar to graph out the two equations, to see the comparison.

---------------------------------

For problem 5, the parent function is y = |x|

Replacing every x with x-3 means that the xy grid moves 3 units left. That gives the illusion the V shaped curve is moving 3 units right.

The 2 out front will double each y coordinate. This visually stretches the graph by a factor of 2. It is now twice as tall as it was before. This is equivalent to doing a horizontal compression (since the graph is more skinny now).

Answer:

4.  Translated 6 units left and 1 unit down.

5.  Translated 3 units right and stretched vertically by a factor of 2.

Step-by-step explanation:

Transformations

[tex]\textsf{For $a > 0$}[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]

[tex]a\:f(x) \implies f(x) \: \textsf{stretched parallel to the $y$-axis (vertically) by a factor of $a$}[/tex]

[tex]f(ax) \implies f(x) \: \textsf{stretched parallel to the $x$-axis (horizontally) by a factor of $\dfrac{1}{a}$}[/tex]

[tex]-f(x) \implies f(x) \: \textsf{reflected in the $x$-axis}[/tex]

[tex]f(-x) \implies f(x) \: \textsf{reflected in the $y$-axis}[/tex]

Question 4

Parent function:

[tex]f(x)=x^2[/tex]

Translated 6 units left:

Add 6 to the x-variable of the function:

[tex]\implies f(x+6)=(x+6)^2[/tex]

Translated 1 unit down:

Subtract 1 from the function:

[tex]\implies f(x+6)-1=(x+6)^2-1[/tex]

Question 5

Parent function:

[tex]f(x)=|x|[/tex]

Translated 3 units right:

Subtract 3 from the x-variable of the function:

[tex]\implies f(x-3)=|x-3|[/tex]

Stretched vertically by a factor of 2:

Multiply the function by 2:

[tex]\implies 2f(x-3)=2|x-3|[/tex]

a circle has a diameter of 18 ft what is it's circumference

Answers

C≈56.55ft Hope you get it correct:)

Step-by-step explanation:

The formula for circumference when the diameter is given is C = π • d

C = circumference

π = pi

d = diameter

So to find the circumference plug in the number (18 - diameter).

C = π • 18

C = 56.5486677646

If needed to round to nearest ...

tenth = 56.5

hundredth = 56.55

However, if the directions say to use 3.14 for π (pi) then the answer would be different.

C = 3.14 • 18

C = 56.52

Hope this helps :)

Question 6 (1 point) Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 400 ft? of fabric. What are the possible side lengths of the tablecloth? A. 11 ft x 11 ft B. 11 ft x 2 ft C. 60.5 ft x 2 ft D. 60.5 ft x 60.5 ft​

Answers

The required possible side length of the tablecloth is 11ft x 11ft.

What is the square?

A square is for sided regular polygon, where the length of all sides is identical and the angle between the adjacent side is 90°.

Given the following parameters

Area of fabric =121 ft² of fabric.

She wants to make a square tablecloth for her dining room table.\

Area of the square = a²

121 = a²

a = √121

a = 11 ft

Thus, the required possible side length of the tablecloth is 11ft x 11ft.

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2. Given K is the midpoint of GH, GK = 5x - 3,
and GH = 2x + 24, find the value of x.


NEED HELP ASAP

Answers

The value of the x in the linear equation of the midpoint is a 3.85.

According to the statement

We have to find that the value of the x.

So, For this purpose, we know that the

Midpoint is the point on a line segment or an arc that is equidistant, when measured along the line or the arc, from both endpoints.

From the given information:

Given K is the midpoint of GH, GK = 5x - 3,and GH = 2x + 24

As the midpoint the both equation are equal to the each other.

Then

GK = GH

5x - 3 = 2x + 24

5x+2x = 24+3

7x = 27

x = 27/7

x = 3.85.

So, The value of the x in the linear equation of the midpoint is a 3.85.

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On a recycling drive, Janet collected 2 1/8 pounds of canned goods and Steve collected 3 4/8 pounds of canned goods. How many total pounds of canned goods did Janet and Steve collect together?

A.
B.
C.
D.

Answers

Answer:

5 5/8 pounds

Step-by-step explanation:

I added the fractions and got that

In a random sample of 144 observations, begin mathsize 15px style p with bar on top end style = .7. The 95% confidence interval for p is

Answers

The 95% confidence interval for p is (0.333, 0.480).

What is the confidence interval?

If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.

The formula for calculating the confidence interval is expressed as shown below;

CI = p±Z * √p(1-p)/n±0.5/n

Where Z is the z-score at 95% confidence

p is the sample proportion

n is the sample size

Given that n = 144, p = 0.7 and z-score at 95%  

CI = 1.645 (from z table)

Now Substituting this values;

CI = p ± 1.645*√0.7(1-0.4)/144 ±0.5/n

CI = 0.4 ± 1.645*√0.7(0.6)/144 ± 0.5/144

CI = 0.4 ±1.645 * √0.24/144 ± 0.00347

CI = 0.4 ±1.645 * 0.04087± 0.00347

CI = 0.4±0.06723±0.00347

CI =(0.333, 0.480)

Hence, The 95% confidence interval for p is (0.333, 0.480).

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I don’t understand this question

Answers

Answer:

This is a one to one function

Step-by-step explanation:

From the function, we know that f(x) = x - 7 is a linear graph.

Using horizontal line test

the graph is one to one if the horizontal line only cross the graph at one point

The answer is: this is a one to one function

Jill and erika made 8 gallons of lemonade for their lemonade stand.How many quarts did they make?if they charge $1.00 per quart, how much money will they make if they sell it all?

Answers

Answer:

9

Step-by-step explanation:

because 8 gallons of lemonade will stand on charge $1.00 will add and answer will be 9

Answer: $32

Explanation: there are 4 quarts in one singular gallon. So..... 8(# of gallons)x4(quarts)
=32 quarts. If they are selling a quart for $1.00 it would be $32 if made.

What is the distance between −9 and 3 on a number line ,in why ?

Answers

Answer:a

a

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Find the quotient the problem below.
⅝ × ¾

Answers

Answer: 5/8 + 3/4 = 11/8 = 1 3/8 = 1.375

Step-by-step explanation:5/8+ 3/4= 5/8+ 3 · 2/4 · 2 = 5/8+ 6/8= 5 + 6/8 = 11/8

Answer: Incorect answer

Step-by-step explanation:

5/8X3/4 =11/8 =1 3/8=1.375

BRAINLIEST
What is the least natural number that has exactly 6 factors and is not divisible by 2? How about 6?

Answers

The least natural number that has exactly 6 factors and is not divisible by 2 is 75.

How to illustrate the information?

It should be noted the factors of 75 include 1, 3, 5, 15, 25, and 75.

Therefore, it should be noted that 2 isn't among the factors based on the information given in the question.

Therefore, the least natural number that has exactly 6 factors and is not divisible by 2 is 75.

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the picture asks the question

Answers

Fraction form: 21/5
Decimal form: 4.2

[(1.7×10^6)÷(2.63×10^5)]+7.33

Answers

1.7(10^6)/2.63 (10^5)
+
7.33
=
13.793878
the answer for ur question would be 13.793878 ^^^^^

P(x)= 2x^4 - 7x^3 + x^2 - 18x + 3
a) Use Descarters' Rule of Signs, we know that there are ____ or ____ or ____ positive real zeros P can have.
b) b) Use Descarters' Rule of Signs, we know that there are ____ negative real zeros P can have.

Answers

Using Descartes's Rule of Signs:

There are four positive real zeros P can have.

There are zero negative real zeros P can have.

What is Descartes's rule of sign?

Descartes' rule of sign is used to determine the number of positive and negative real zeros of a polynomial function.

We have,

P(x) = 2[tex]x^{4}[/tex] - 7x³ + x² - 18x + 3

We have to look at the sign of the coefficient

Here,

  2[tex]x^{4}[/tex] - 7x³  +  x²  -  18x + 3

(+)---(-)(-)---(+)(+)--(-)(-)---(+)

There are 4 variations so there are 4 positive real zeroes.

For finding negative real zeroes we Put x = -x.

P(-x) =  2[tex]x^{4}[/tex] + 7x³ + x² + 18x + 3

   2[tex]x^{4}[/tex]  +  7x³  +  x²  +  18x  +  3

(+)---(+)(+)----(+)(+)--(+)(+)-- --(+)

There are no variations so there are zero negative real zeroes.

Thus,

a) Using Descartes's Rule of Signs, we know that there are four positive real zeros P can have.

b) Using Descartes's Rule of Signs, we know that there are zero negative real zeros P can have.

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Rearrange this equation to isolate c.

a=b (1/c-1/d)

Answers

Answer:

[tex]c=\frac{bd}{ad+b}[/tex]

Step-by-step explanation:

By isolating the term c, we are trying to arrive at the equation c= ____.

[tex]a=b(\frac{1}{c}-\frac{1}{d} )[/tex]

Divide both sides by b:

[tex]\frac{a}{b}= \frac{1}{c}-\frac{1}{d}[/tex]

Add [tex]\bf{\frac{1}{d}[/tex] to both sides:

[tex]\frac{1}{c} =\frac{a}{b} +\frac{1}{d}[/tex]

Rewriting the right-hand side as a single fraction:

[tex]\frac{1}{c} =\frac{a(d)}{b(d)} +\frac{1(b)}{d(b)}[/tex]

[tex]\frac{1}{c} =\frac{ad+b}{bd}[/tex]

Find the expression of c:

[tex]1\div\frac{1}{c} =1\div\frac{ad+b}{bd}[/tex]

[tex]\bf{c=\frac{bd}{ad+b}[/tex]

Additional:

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Answer:

[tex]c=\dfrac{bd}{ad+b}[/tex]

Step-by-step explanation:

Given equation:

[tex]a=b\left(\dfrac{1}{c}-\dfrac{1}{d}\right)[/tex]

Divide both sides by b:

[tex]\implies \dfrac{a}{b}=\dfrac{b}{b}\left(\dfrac{1}{c}-\dfrac{1}{d}\right)[/tex]

[tex]\implies \dfrac{a}{b}=\dfrac{1}{c}-\dfrac{1}{d}[/tex]

Add 1/d to both sides:

[tex]\implies \dfrac{a}{b}+\dfrac{1}{d}=\dfrac{1}{c}-\dfrac{1}{d}+\dfrac{1}{d}[/tex]

[tex]\implies \dfrac{a}{b}+\dfrac{1}{d}=\dfrac{1}{c}[/tex]

[tex]\textsf{Simplify the left side by applying the fraction rule} \quad \dfrac{p}{q}+\dfrac{r}{s}=\dfrac{ps+qr}{qs}:[/tex]

[tex]\implies \dfrac{ad+b}{bd}=\dfrac{1}{c}[/tex]

Cross multiply:

[tex]\implies c(ad+b)=bd[/tex]

Divide both sides by (ad + b):

[tex]\implies \dfrac{c(ad+b)}{ad+b}=\dfrac{bd}{ad+b}[/tex]

[tex]\implies c=\dfrac{bd}{ad+b}[/tex]

which of the following below is a solution to y=x2-1
(4,5)
(2,5)
(1,4)
(2,3)

Answers

Answer:

(2,3)

Step-by-step explanation:

[tex]y=(2)^{2}-1=4-1=3[/tex]

when x = 2, y = 3

Hope this helps

HOW MUCH TICKETS DID THE MOVIE SELL?
Movie a costs 4 dollars
Movie b costs 5 dollars
Movie theater got 200 dollars and sold 47 tickets
How many tickets did movie a sell
PLS ANSWER ILL GIVE BRAINLIEST

Answers

Taking into account the definition of a system of linear equations, the movie theater sold 35 tickets for Movie A and 12 tickets for Movie B.

System of linear equations

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

Number of tickets sold

In this case, a system of linear equations must be proposed taking into account that:

xa: number of tickets sold for Movie Axb: number of tickets sold for Movie B

On the other hand, you know:

Movie A costs 4 dollars.Movie B costs 5 dollars.Movie theater got 200 dollars.Movie theater sold 47 tickets.

So, the system of equations to be solved is

[tex]\left \{ {{xa + xb=47} \atop {4xa + 5xb=200}} \right.[/tex]

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable xa from the first equation, you obtain:

xa= 47 - xb

Substituting this expression in the second equation you get:

4×(47 -xb) + 5xb= 200

Solving:

4×47 - 4xb + 5xb= 200

188 - 4xb + 5xb= 200

- 4xb + 5xb= 200 - 188

xb= 12

Remembering that xa= 47 - xb. you get: xa=47 - 12 → xa= 35

Finally, the movie theater sold 35 tickets for Movie A and 12 tickets for Movie B.

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Why do you multiply by a power of 10 when writing a repeating decimal as a rational number?​

Answers

Answer: So that when we subtract the original number from the multiple, the repeating part cancels out. If we multiply by 10, we get 10x = 2.

Step-by-step explanation:

The probability of each two occurring given that event he has happened is called wha

Answers

Answer:

Conditional Probability

Step-by-step explanation:

Conditional probability refers to the chances that some outcome occurs given that another event has also occurred. It is often stated as the probability of B given A and is written as P(B|A), where the probability of B depends on that of A happening

7 Write a problem you can solve using the fractions and 12. Explain how you can
solve by simplifying a complex fraction. Show your work.

Answers

Complex fraction 4²/₃ + 1/3 – 4¹/₃ = 2/3

A fraction defined as the part of the whole thing. For example, a pizza is divided into four equal pieces, then each piece is represented by ¼. Fractions help to distribute and judge the numbers easily and make the calculation faster.

Some steps to solve a fraction -

Step 1: Write the factors of numerator and denominator.

Step 2: Determine the highest common factor of numerator and denominator.

Step 3: Divide the numerator and denominator by their highest common factor (HCF). The fraction so obtained is in the simplest form.

For example -

4²/₃ + 1/3 – 4¹/₃

= (4 × 3 + 2)/3 + 1/3 – (4× 3 + 1)/3

= 14/3 + 1/3 – 13/3

= (14 + 1 - 13)/3

= (15 - 13)/3

= 2/3

Hence , in the mathematics problem can be solved by using the fractions.

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I didn’t know what I did wrong please help thank u

Answers

Answer: -4/7

Step-by-step explanation:

the formula for the slope is rise/run

or (y-y1)/(x-x1)

we can apply this concept like this:

7-(-7)=7+7=14

-4-4=-8

since -8 is the rise and 14 is the run, the slope is -8/14

simplify to -4/7

Given

F(x)=3x+9

And

g(x) =1/3x-3

verify by composition that f(x) and g(x) are inverse functions.


Answers

Step-by-step explanation:

use fog

3(1/3x-3)+9

=x

use gof

1/3(3x+9)-3

=x

we can see that both results give us x hence they are inverse

What is the Answer. to this problem.. . . . . .

Answers

Answer:

3.1kg

Step-by-step explanation:

4.7+5.6+6.4+2.8+3.5+4.4+4.5 = 31.9

4.375 x 8 = 35

35 - 31.9 = 3.1

What is the greatest common factor of 41 and 48?

Answers

Answer:

the gcf of 41 and 48 would be 1

Answer: 1

Step-by-step explanation:

41      48

 /\       /\

1 * 41  1 * 48

In an addition equation, when one addend is positive and the other is negative. How do you determine whether the sum will be positive or negative?

Answers

If a > b then;

a + -b = a positive number

If b > a then;

a + -b = a negative number

If both addends are positive or if the positive addend has a greater absolute value than the negative addend, the sum will be positive. If both addends are negative or if the negative addend has a greater absolute value than the positive addend, the sum will be negative.

20p-8p-6p=12 please make sure it's right

Answers

Answer: step by step

Step-by-step explanation:

not totally sure what you're asking but in this equation p=2

Determine the point that is 1/3 of the distance from (-4.5, 0) to (0, 9)

Answers

The point that is 1/3rd of the distance from (-4.5,0) to (0,9) is (-3,3).We use a formula similar to the midpoint formula for finding the point.

We have been given two points (-4.5,0) and (0,9), we have to find the point is on the line formed by these two points and is 1/3rd away. We don't need to find the distance between these two points to find the asked point. We have to use a formula that is similar to finding the midpoint of a line. For two points (a,b) and (x,y) the midpoint is ([tex]\frac{a+x}{2} ,\frac{b+y}{2}[/tex]).We used equal parts of the two points to find the midpoint, for 1/3rd we will be using uneven parts of the two points.

[tex]x_{1} =\frac{2}{3} (-4.5)+\frac{1}{3} (0)=-3[/tex]

[tex]y_{1} =\frac{2}{3} (0)+\frac{1}{3} (9)=3[/tex]

Therefore the point that lies 1/3rd of the distance from (-4.5,0) and (0,9) is (-3,3).

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Graphs are provided showing how two factors changed over time in a certain region: the number of animals that preyed on mice and the amount of plants the mice ate. Using the information from these graphs, predict which of the following years will see the highest increase in mouse population. 30 Predators 20 per km2 10 1996 1998 2000 2002 Density of Predators 1996 1998 2000 2002 30 Bushels 20 per km2 10 Availability of Food Plants 1996 1998 2000 2002​

Answers

https://sis-union.tnk12.gov/scripts/wsisa.dll/WService=wsUNIStu/seplog01.w

Step-by-step explanation:

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