Claire is cycling at a speed of 12 miles per hour. Han is cycling at a speed of 8 miles per hour. If they start at the same position, chosen at zero, and bike in straight opposite directions, what will the distance between them be after 45 minutes?

Answers

Answer 1

Answer:

45 minutes is 3/4 of an hour, so find 3/4 of 12.  

Divide 12 by 4 to get 1/4 of 12. That is 3.  

3/4 is 3 of those, so multiply it by 3 to get 9.

So, she will have biked 9 miles.  

Answer 2

Answer:

180 miles.

Step-by-step explanation:

First, we have to find out how far Claire is after 45 minutes:

12 x 45 = 540

Now, we need to find out how far Han is after 45 minutes:

8 x 45 = 360

Lastly, we need to subtract how far Claire went by how far Han went:

540 - 360 = 180

Final answer:

The distance between Claire and Han after 45 minutes will be 180 miles.

Hope this helped! Have a nice day!


Related Questions

Write them in a standard form.

Answers

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

Describe how the graph of the equation relates to the graph of y = x2.
f(x) = -x + 5)2

Answers

Answer:

Step-by-step explanation:

It's y = x^2, not y = x2.  The graph of y = x^2 is a parabola with vertex (0, 0) and which opens up.

The graph of y = (x + 5)^2 has the same shape as that of y = x^2, but has been translated 5 units to the left.

The graph of the function f(x) = - (x + 5)² will rotate along the x-axis and shift 5 units to the left.

What is translation?

There are four different kinds of translation: stretching, shrinking, rotating, and shifting.

When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.

We know the graph of the equation y = x² is a parabola that opens upwards.

Now, the graph of equation f(x) = - (x + 5)² will first rotate 180° along the x-axis as there is a change in sign y and shift x + 5 = 0 ⇒ x = - 5 shift 5 units to the left.

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please hurry! ill give brainliest to the fastest answer!


Which expression would the model be most helpful in solving?

An area model has 5 shaded parts and 1 unshaded part. The shaded part is labeled 5/6.

A. 1/6 ÷ 5/6
B. 5/6 ÷ 1/6
C. 6 ÷ 1/6
D. 6 ÷ 5/6

Answers

5/6 divided 1/6, this is the correct answer

:))))

Answer:

5/6 ÷ 1/6

Step-by-step explanation:

The triangles in the figure are similar: ΔABC ∼ ΔDEF. Which of the following statements must be true? options: A) AB/DE=BC/EF=CA/FD B) None of these statements are true. C) AB=BC D) AB/DE=2

Answers

Answer:

Answer A

Step-by-step explanation:

We see that ABC is similar to DEF. Pay attention to the order of these letters. The order that they read (left-to-right) is the order that they are similar. For example, AB is similar to DE. Despite being different triangles, they are both the first two letters in the triangle. So, knowing this, we can conclude that answer choice A is correct.

Answer:

The answer is A

Step-by-step explanation:

To the nearest degree, find the measure of

Answers

Answer:

the hypotenuse(b) is 50 if that helps

Step-by-step explanation:

a=40 & c=30 if you square these two numbers, add them and find the square root you get the hypotenuse(a^2+b^2=the square root of c^2)

Walter lost his favorite book. He used the map below to discover that he is currently at point (1, 6). He determined that his book is 5 units either to the west or south of his current location. Which of these could be the location of the book? (-4, 6) (1, -1) (-4, 1) (6, 6) (6, -4) (1, 1)

Answers

Answer:

(-4, 6)

Step-by-step explanation:

If his book was 5 units to the west, it would be at (1 - 5, 6) = (-4, 6) and if it was 5 units to the south it would be at (1, 6 - 5) = (1, 1). Therefore, (-4, 6) is the answer because (1, 1) isn't an answer choice.

The answer is - (-4,6)

What is the arithmetic mean of the following numbers? 6 , 4 , 1 , 9 , 3 , 8 , 3 , 5 , 10

Answers

Answer:

5.4

Step-by-step explanation

First find the mean of the numbers which you do by adding the numbers all together and then you will get 49.Then you have to divide 49 by the amount of numbers there are so there are 9 numbers so you do 49 ÷ 9 and you will get 5.4.Answer = 5.4

The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

What is arithmetic mean?

The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

According to the given question we have

A data set  6, 4, 1, 9, 3, 8, 3, 5, 10

The total numbers in the given data set is 9

Therefore, the arithmetic mean of the given data set is given by

Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]

Arithmetic mean = [tex]\frac{49}{9}[/tex]

Arithmetic mean = 5.4

Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4

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PLZ HURRY! Identify a Venn diagram to show how many students in the sixth grade belong to both cultural and sports team.

Answers

Answer:

that was my same answer:)

there very smart

Step-by-step explanation:

Which points are solutions to the system of inequalities shown below? Check all that apply!​

Answers

Answer:

y>x+4 (A,B)

y≤3x (B,C,D,E,F)

x≥7(A,B,D)

i realllyyyyyyyy HOPE THIS HELPS YOUUU!!!

How many houses are on Prince Street?

Answers

Answer:

25 houses on prince street

Step-by-step explanation:

add them up and bam

Answer:

25 houses

Step-by-step explanation:

You need to add up all the houses and u will get the ans..

Have a good day !!

Hope this helps..

                       Pls mark my ans as branliest :)If u mark my ans as brainliest then u are the "bestestest " person in the world  :)

Using the ruler postulate, find the distance between-9 and 2.

Answers

Answer:

11

Step-by-step explanation:

30 points high school geometry question.

Answers

Answer:

2.7

Step-by-step explanation:

2.5/5.8 = BD/6.2

BD = 2.7

Answer: 2.7

Step-by-step explanation: 2.5/5.8 = BD/6.2

BD = 2.7

so A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.

Answers

Answer:

6x² - 14x - 4

Step-by-step explanation:

A =3x² + 4x + 1

B = 5x² - 3x + 8

C = 4x² - 7x - 3

B + C –A is

5x² - 3x + 8 + 4x² - 7x - 3 - ( 3x² + 4x + 1)

Expand and simplify

We have

5x² - 3x + 8 + 4x² - 7x - 3 - 3x² - 4x -1

Group like terms

5x² + 4x² - 3x² - 3x - 7x - 4x + 8 - 3 - 1

We have the final answer as

6x² - 14x - 4

Hope this helps you

30. Three apples plus twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are
in the basket?
(A) 8
(B) 18
c.28
d.38​

Answers

Answer:

3 + 6 = 1/2(#grapes)

3 + 6 = 9

9 = 1/2(#grapes)

2(9) = 1(#grapes)

18 = # of grapes

Step-by-step explanation:

......................................

Answers

Answer:

Towards the left

Step-by-step explanation:

Identify the sequence as arithmetic or geometric. 14, 11, 8, 5,

Answers

Answer:

sequence is arithmetic

Step-by-step explanation:

A geometric sequence has a common ratio r between consecutive terms.

An arithmetic sequence has a common difference d between consecutive terms, thus

11 ÷ 14 ≠ 8 ÷ 11 ≠ 5 ≠ 8 ← not geometric

11 - 14 = - 3

8 - 11 = - 3

5 - 8 = - 3

There is a common difference d between consecutive terms

Thus sequence is arithmetic.

Answer:

Step-by-step explanation:

This is an arithmetic sequence.

First term = a = 14

Second term = 11

Common difference = second term -  first term

                                 = 11 - 14

                                =  - 4

Each term is got by adding (-4) to the previous term

Third term = 11 + (-4) = 11 -4 = 8

what is the line of symmetry for the parabola whose equation is y=-x^2-x+2

Answers

Answer:

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   [tex]y=a(x-b)^2+c[/tex]

and then, the line of symmetry will be the line x = b

Let's do it !

[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]

So the line of symmetry is

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

what is the nth term of this sequence 7, 9, 11, 13

Answers

Answer:

The nth term of the sequence is

5 + 2n

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 7

d = 9 - 7 = 2 or 11 - 9 = 2

So the nth term for the sequence is

A(n) = 7 + ( n - 1)2

= 7 + 2n - 2

A(n) = 5 + 2n

Hope this helps you

2n+5 I think this is a answer

Graph the linear function whose equation is
y - 2 = - * (x + 1) by following these steps:

Answers

Answer:

The slope is -2/3

Step-by-step explanation:

With this its easier to get all of the x's on one side.

distribute the -2/3 to the x and 1. Also add a 2 on each side.

Thats leaves you with y=-2/3x+4/3

You than want to make a chart of x's and y's so you know what this graph looks like

x|y

-3|(10/3)

-2|(8/3)

-1|2

0|(4/3)

1|(2/3)

2|0

3|(-2/3)

To find the slope, it's (y2-y1)/(x2-x1)

So in this case, (0-2)/(2+1)

The slope is (-2/3)

Answer:

Slope = -2/3

Point = (-1,2)

Plot the given point = (-1,2)

Use the slope to plot one more point = (2,0)

Step-by-step explanation:

In the circle below, O is the center, MP is a diameter, and mZMOL = 60°. Find the measure of LNM.

Answers

Answer:

30°

Step-by-step explanation:

Hey, srry for the inaccurate sketch

I hope you will understand the way I solved it

If not, don't hesitate to ask questions ;)

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
c
+ N100 N
AN
Mark this and return
Save and Exit

Answers

Answer:

multiply by a factor of 7/8

Step-by-step explanation:

sphere A radius is 24 and Sphere B radius is 21

24x=21

x = 7/8

Answer:

multiply by a factor of 7/8

is this right?? please help!

Answers

Answer:

  6 < x < 8

Step-by-step explanation:

The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.

  -47 > 1 -8x > -63 . . . . given

Multiply by -1:

  47 < -1 +8x < 63

Add 1:

  48 < 8x < 64

Divide by 8:

  6 < x < 8

______

* You can tell this is the case by looking at the ends of the given statement:

  -47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.

What is (7 / 14) * (b - 6) when b is 7?

Answers

Answer:

1/2

Step-by-step explanation:

Well if b is 7 we plug it into the following equation,

(7 / 14) * (b - 6)

So if b is 7, we do 7-6 which is 1.

Then 7 / 14 which is 1/2.

So 1/2 * 1 is 1/2.

Answer:

1/2 or 0.5 (same thing)

Step-by-step explanation:

If you simplify 7/14, you get 1/2, or 0.5.

Plug in 7 for b. 7-6 is 1, so 1/2 * 1 is 1/2.

In lowa, the Hoosiers basketball team won half of its first twelve games. There are a total of
24 games in the season. In order to make it to the playoffs, the Hoosiers need to win three
fourths of their remaining games. If the team is able to win exactly three fourths of their
games, how many total games will they have won at the end of their 24-game season before
the playoffs begin?

Answers

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18

Copy the problems on paper, mark the givens, and fill in the blanks to complete the proofs of the statements asked.

Answers

You didn't attach a photo, so I am confused on what your question is. I am answering 3 problems that have the same intro.

If your question was not any of these, I can't help, sorry :)

alice drank 18 ounces of gatorade after her gymnastic meet. there were 14 ounces left.How many ounces of gatorade was origanally in the container.​

Answers

Answer:

32 ounces

Step-by-step explanation:

18+14=32

32 is the total

Answer:

32 ounces

Step-by-step explanation:

She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32

Hope this helps and pls mark as brainliest : )

How do you prove a parallelogram using these 2 triangles, somebody needs to explain this to me?

Answers

RQP=ONP

Since R is the midpoint of MQ, then MR and RQ are equal.

Since R is the midpoint of MQ, then P must be the midpoint of NQ

The triangles are congruent and the trapezoid is three or those triangles.

RQR reflected is a triangle inside the trapezoid. The triangles at the left and right of the trapezoid are congruent.

Since all the triangles are the exact same, then they have the same height and same length.

So you connect them without like sliding a triangle up a little bit.

The 4 congruent triangles add up to be a parallelogram.

I don't know if this is what you learned in class or where ever you did learn it but this is my way (not where-I-learned-it-from's way).

What is the slope of the line that passes through the points (–20, 18) and (30, 14)?

Answers

Answer:  the fraction -2/25

Explanation:

Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.

m = (y2 - y1)/(x2 - x1)

m = (14 - 18)/(30 - (-20))

m = (14 - 18)/(30 + 20)

m = -4/50

m = -2/25

Answer:

[tex]-\frac{2}{25}[/tex]

Step-by-step explanation:

Slope is rise over run.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (–20, 18) and (30, 14).

[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]

The slope is -2/25.

Brainilest Appreciated.

Select the correct answer. Which pair of statements correctly compares the two data sets? A. The difference of the means is 1. This value is less than half of the mean absolute deviation of either data set. B. The difference of the means is 1. This value is more than half of the mean absolute deviation of either data set. C. The difference of the means is 1. This value is 1 times the mean absolute deviation of either data set. D. The difference of the means is 1. This value is 2 times the mean absolute deviation of either data set.

Answers

Answer:

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

Information provided

represent the mean for sample 1  

represent the mean for sample 2  

represent the sample standard deviation for 1  

represent the sample standard deviation for 2  

sample size for the group 2  

sample size for the group 2  

Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the true means for this case are significantly different, the system of hypothesis would be:  

Null hypothesis:  

Alternative hypothesis:  

The statistic is given by:

(1)  

And the degrees of freedom are given by    

Replacing the info given we got:

 

The degreess of freedom are given by:

Now we can calculate the p value with the following probability:

 

For this case since the p value is higher than the significance level we can FAIL to reject the null hypothesis and we can conclude that the true means are NOT significantly different at 10% of significance.

Step-by-step explanation:

So what you have to do is have fun and say hello

solve for y: y÷1 7/9 = 3/4

Answers

Answer:

y = 4/3

Step-by-step explanation:

The required value of fraction y is 4/3.

Given that,

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]
Fraction y is to be determined by simplification.

What is simplification?

The process in mathematics to operate and interpret the function to make function simple or more understandable is called simplifying and the process is called simplification.

What is the fraction?

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = a / b where the upper value is termed as the numerator and the lower value is the denominator.

Simplification

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]                                                                          ( 1 + 7 / 9 = 16 / 9)
[tex]\frac{y}{\frac{16}{9} } = 3/4[/tex]               (Transposition of 16/9 from the denominator to the right)
y  = 3 / 4 * 16 / 9
y = 4 / 3

Thus, the required value of fraction y is 4/3.

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