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

The center of a circle has coordinates (6, – 5). The circle is reflected about the line y=x. What are the coordinates of the center of the image circle? ~~~~~~~~~~~~~~~~~~~~~~~~~ (A)(6, −5)~~~(B)(−5, 6)~~~(C)(5, −6)~~~(D) (1, 0)~~~(E) (0, 1)

Answers

Answer:

B

Step-by-step explanation:

The line of reflection of y=x is when the x and y swap places which means that the point of (6,-5) should change to (-5,6)

Hope this helps!

Pls, help my sister I will mark the brainliest! Very easy!



Write equivalent fractions of

2/3 5/6 1/4

Answers

Answer:

4/6

10/12

3/2

Step-by-step explanation:

2/3=2/3*2/2=4/6

5/6=5/6*2/2=10/12

1/4=1/4*3/3=3/12

You can multiply the fraction with any whole number to get the equivalent fraction of any fraction.

Hope this helps ;) ❤❤❤

4/6

10/12

3/2

Step-by-step explanation:

2/3=2/3*2/2=4/6

5/6=5/6*2/2=10/12

1/4=1/4*3/3=3/12

Part 1: What is the range of the data set? Part 2: What is the interquartile range of the data set? Part 3: What is the mean absolute deviation of the data set? [Round both the mean and the mean absolute deviation to the nearest tenth.]

Answers

The range is 5 and the mean is 2. This is because the range you have to subtract the largest number by the smallest number and in this case the largest is 6 and the smallest is 1. 6-5 is 1. Then for the mean you have to add up all of the numbers in the data set and then divide it by how many number are in the data set. And you get an answer of 2.

Answer:

Part 1:  The range is 7-1 = 6

Part 2: 1 - 0.5 = 0.5

Part 3: 4 ( already rounded off )

Step-by-step explanation:

hope this helped <33

please hurry! I'll mark brainliest if you're fast!

To find the quotient 5/7 ÷ 1/3
multiply 7/5 by 1/3
multiply 7/5 by 3.
multiply 5/7 by 3.
multiply 5/7 by 1/3​

Answers

The answer is multiply 5/7 by 3.

Answer:

multiply 5/7 by 3

Step-by-step explanation:

In the function F(t) = 50(1.274, what is the rate of change?
O A. 2% decay
O B. 20% decay
O C. 20% growth
O D. 2% growth

Answers

Answer:

c

Step-by-step explanation:

math

Which sequence of transformations proves that shape I is similar to shape II?

Answers

Answer:

I believe the answer is B. translation 6 units right, and then a 90 degree clockwise rotation about the origin.

Step-by-step explanation:

Because if you try a by reflecting it across the x axis and then tranforming it 6 units to the right you get a differenct graph. The same  thing happens if you try c by rotating 180 degress counter clockwise about the origin!

I hope this helps, if it does please mark brainliest!!! Thank you. Have a great day :)

In the circle below, O is the center and mĞ= 128° What is the measure of angle HIG?​

Answers

Answer:

26 degrees.

Step-by-step explanation:

From the figure it is clear that HI is the diameter and [tex]acr(GI)=128^{\circ}[/tex]. So,

[tex]\angle GOI=128^{\circ}[/tex]

[tex]\angle GOI+\angle GOH=180^{\circ}[/tex]          (linear pair)

[tex]128^{\circ}+\angle GOH=180^{\circ}[/tex]

[tex]\angle GOH=180^{\circ}-128^{\circ}[/tex]

[tex]\angle GOH=52^{\circ}[/tex]

Using central angle theorem of a circle, we get

[tex]\angle HIG=\dfrac{\angle GOH}{2}[/tex]

[tex]\angle HIG=\dfrac{52^{\circ}}{2}[/tex]

[tex]\angle HIG=26^{\circ}[/tex]

Therefore, the measure of angle HIG is 26 degrees.

Evaluate 2y - 10 + 8y when y is 4

Answers

Answer:

30

Step-by-step explanation:

Given,

y = 4

Now, let's evaluate:

[tex]2y - 10 + 8y[/tex]

Plug the values

[tex] = 2 \times 4 - 10 + 8 \times 4[/tex]

Multiply the numbers

[tex] = 8 - 10 + 32[/tex]

Calculate the sum of positive numbers

[tex] = 40 - 10[/tex]

Subtract the numbers

[tex] = 30[/tex]

Hope this helps...

Best regards!!

Answer:

30

Step-by-step explanation:

To solve your question we must first replace y with the given number. In this case, the number given is 4 so,

2 (4) - 10 + 8 (4)

We can now solve by multiplying 2 by 4 and 8 by 4

2 * 4 = 8

8 * 4 = 32

8 - 10 + 32 = 30

Hope this helps!!

An arithmetic sequence is represented in the following table. Enter the
missing term of the sequence.

Answers

Answer:

387

Step-by-step explanation:

we can  use the formula y=-81+(x-1)13, because 13 is the common difference

then plug 37 in for x

you get y=-81+36(13)

which simplifys down to 387

Identify the types of number ​

Answers

Answer:

1 surds

2 fraction

3 decimal

4 negative

5 positive

1 surds. 2 fraction. 3 decimal. 4 negative. 5 positive

Which word best describes the degree of overlap between the two data sets? none high low moderate

Answers

Answer:

none it is

Step-by-step explanation:

-yoda

correct it is

Answer:

its none i took the test

Step-by-step explanation:

Complete the recursive formula of the arithmetic sequence -17, -8, 1, 10,... a(1)= a(n)=a(n-1)+

Answers

To find a(1), simply look at the first term, which is -17. This gives a starting point for the recursive formula.

Then, we want to write the recursive formula as a(n) = a(n - 1) + c, where c is the number you add to a term to get the next term. You can see from the values given that you are adding 9 to each term to get the next one, so the recursive formula would be a(n) = a(n - 1) + 9.

First term of sequence of arithmetic (a₁) is -17 and aₙ is -17 + 9(n-1)

What is arithmetic sequence?

A arithmetic sequence is defined as an arrangement of numbers which is particular order.

The formula to find the general term of an arithmetic sequence is,

aₙ = a₁ + (n-1)d

What is geometric sequence?

The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Given data :

The arithmetic sequence -17, -8, 1, 10,...

First term of sequence of arithmetic (a₁) = -17

The common difference of arithmetic (d) = difference between the two term

The common difference of arithmetic (d) = -8 - (-17)

The common difference of arithmetic (d) = -8 + 17

The common difference of arithmetic (d) = 9

To determine the n term of arithmetic sequence

The nth term of a arithmetic sequence is expressed as :

aₙ = a₁ + (n-1)d

substitute the values of a₁ and d in the formula,

aₙ = -17 + (n-1)9

Let n = 5

a₅ = -17 + (5 - 1)9

a₅ = -17 + (4)9

a₅ = -17 + 45

a₅ = 28

Learn more about arithmetic sequence here :

brainly.com/question/21961097

#SPJ5

What is the median of the following numbers? 1,2,10,6,4,4,6,3,1,4

Answers

Answer

Answer= 4

Step-by-step explanation:

The answer is 4 because for the median you have to put the numbers from smallest to largest.

When you have done that you have to find the middle number which in this case is 4.

Hope that helps you

Median

1. Order data from least to greatest

2. Find the center of the data set

If there is no distinct center to your data,

find the mean of the two middle numbers.

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Since there is the two middle numbers are the same,

the median will be the number that appears two times.

In this case, the median is 4.

if jonny have 3x6 dish sope how much do he have

Answers

Answer:

3x6 dish soap = 18 dish soap

Step-by-step explanation:

Answer:

18 dish soaps

Step-by-step explanation:

Jonny has 3x6 dish soaps which is equal to 18 because if he has 3 rows and 6 columns and you multiply that you will get 18 dish soaps

PLS HELP ASAP!!!Which phrase describes the algebraic expression 8t + 7? the product of 8 and 7 more than a number the quotient of 8 and 7 8 times the sum of a number and 7 8 times a number plus 7

Answers

Answer:

8 times a number plus 7

Step-by-step explanation:

if helps please mark brainliest!! Thanks!

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 8t+7 can be best described as 8 times a number plus 7.

Learn more about Expression:

https://brainly.com/question/13947055

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A farmer has the same number of chickens, cows and goats. Together, all these animals have 210 legs. How many chickens live on this farm?

Answers

210 Legs is equal to 105 Chickens

Answer: 35 chickens

Step-by-step explanation:

210/3=70

70/2=35

A cylinder with a base diameter of x units has a volume
of x cubic units
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is wa? square units.
The area of the cylinder's base is not square units.
The height of the cylinder in 2x umijs
The height of the cylinder is 4x units.
Save and Exit
Next
Submit
C

Answers

Answer:

The height of the cylinder in 2x units

The area of the cylinder's base is not square units.

Step-by-step explanation:

ASAP! can someone help solve this with work?

Answers

Answer:

I don't just want to tell you the answer but I can tell you how.

Step-by-step explanation:

Use the pythagorean theorem, since this is a right triangle. If you don't know what this is its a^2+b^2=c^2

I hope this helps, if you have questions comment or look online.

A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?

1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.

Answers

Answer:

44kg of cereal, 16kg of nuts

Step-by-step explanation:

Step 1. We work out how much the party mix would cost if all of it was nuts.

$2.50 x 60kg = $150

Step 2. We work out how much we want the party mix to cost if it had the correct ratio of nuts and cereal.

$1.40 x 60kg = $84

Step 3. We work out the difference between the two above numbers.

$150 - $84 =$66

Step 4. We work out the difference between the nut mix and the cereal mix.

$2.50 - $1 = $1.50

Step 5. We divide the answer to step 3 ($66) by the difference between the nut mix and cereal mix.

$66 ÷ $1.50 = 44

Step 6. The answer to step 5 is the mass of the cereal mix. We then minus 44kg from the total mix mass of 60kg to get the mass of the nut mix.

60kg - 44kg = 16kg

Step 7. We double check.

44kg of cereal = $44          16kg of nuts = $40           $44 + $40 = $84    

$84 ÷ 60kg = $1.4 per kg

Hope this helped!

Bluey :)

35 POINTS!!! Find the area of the shaded polygons:

Answers

Answer:

12

Step-by-step explanation:

May I know what is the final answer ?

Answers

Answer:

( x + y )² = 32

Step-by-step explanation:

So far, I can tell that your calculations are incorrect. ( x + y )² is indeed x² + 2xy + y², which you can prove right by expanding the expression ( x + y )( x + y ). You simply swapped the positioning in this second step, and decided that the addition of x² + y² is x²y², but that is incorrect. You can't combine the two terms unless you multiply the two.

We should just be left with the expanded expression x² + y² + 2xy. Given that x² + y² = 17, and xy = 7.5, let's substitute and solve for the value of the expression.

17 + 2( 7.5 ) = 17 + 15 = 32,

( x + y )² = 32

Answer:

the other person is correct

Step-by-step explanation:

Students in Mr. Taylor's physics class conducted an experiment by dropping a basketball from a height of 40 feet and then recording the ball’s height after each bounce. The ball climbed to a height of 20 feet after the first bounce, and 10 feet after the second bounce. If this pattern continues, how many feet high will the ball climb after the third bounce? Input the answer using numbers only.

Answers

Answer:

The answer would be 5 feet

Step-by-step explanation:

The class dropped the ball from 40 feet than after the ball bounced again it went to 20 feet than after the 2nd bounce it went to 10 feet and the pattern so far goes 40, 20, and 10. We need to find the common pattern of these 3 numbers and find the 4th number or [tex]x[/tex] so to find the 4th number you can see that if you divide every number by 10 than you will get 4, 2, and 1 which you can see when divided by 2 every time goes to the next number so 4 divided  by 2 is 2 and 2 divided by 2 is 1 so we can assume 1 divided by 2 will be x divided by 10 so 1/2 is 0.5 so x divided by 10 is equal to 0.5 so the equation would be [tex]\frac{x}{10} =0.5[/tex] so we could multiply by 10 on both sides so we would get x = 5 so the final answer would be 5.

Answer this pls fast ASAP

Answers

Answer:

14.13 units^2.

Step-by-step explanation:

The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.

pi * 3^2 = pi * 9 = 9pi.

This is a semicircle, so the area will be half of the whole circle.

9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.

Hope this helps!

Answer:

14.13

Step-by-step explanation:

6/2=3

3^2=9

9x3.14=28.26

28.26/2=14.13

HALPP The number of sets of two or more consecutive positive integers whose sum is 100 is ~~~~~~~ (A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Answers

Answer:

E.5

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

if 2x+1/4 = 12/20 what is the value of x

Answers

Answer:

7/10 or 0.7

Step-by-step explanation:

cross multiply to get 40x+20=48

subtract 20 from both sides to get 40x=28

divide both sides by 40 to get 7/10

HOPE THIS HELPS!!!:)

Answer:

0.7 or 7/10

Step-by-step explanation:

Step 1: Cross-multiply.

2x+1  / 4  =  12 /20

(2x+1)*(20)=(12)*(4)

40x+20=48

Step 2: Subtract 20 from both sides.

40x+20−20=48−20

40x=28

Step 3: Divide both sides by 40.

40x /40  =  28 /40

x= 7 /10

Answer:

x= 7 /10

7/10 = 0.7

Please solve pls explain as well

Answers

Answer:

The answer is in the other post of the same question

Step-by-step explanation:

Here's the link to the other question: https://brainly.com/question/17140832

18 belongs in 9 because each number is multiples by its self and flipped

please help with this​

Answers

Answer:

The tank has a capacity of 6000 liters

2.75 cubic meters of concrete

Step-by-step explanation:

What is the upper quartile of this data set?
82, 97, 98, 100, 102, 102, 106, 112

Answers

Answer:

104

Step-by-step explanation:

In this set data set (82, 97, 98, 100, 102, 102, 106, 112) the median is 101

This means that the upper quartile is 104

To find the upper quartile, you take the numbers that come after the median, and find the median of that set. So when finding the upper quartile of this data set, you will only look at the numbers 102, 102, 106, 112, and the median of this is 104.

Answer:

104

Step-by-step explanation:

The upper quartile is the median of the upper half of the data set, and that is 104.

:)

ordered pair for the point

Answers

Answer:

Step-by-step explanation:

(4, -3)

Answer:

(4,-3)

Step-by-step explanation:

The first coordinate of the ordered pair is the x value or go across

to the right is positive  and the left is negative   so x = 4

The second coordinate of the ordered pair is the y value or go up and down

up is positive and down is negative  so y = -3

(4,-3)

What is the product
(-2d^2+x)(5d^-6x)

Answers

-10d^2x + 5x^2/d^6 or


-10d^2x + 5x^2 over d^6

Answer:

-10a4 + 17d4s2 - 6s2

Step-by-step explanation:

On Edgenuity

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