John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul runs is 5:8.

Answers

Answer 1

Answer:

Step-by-step explanation:

For example,

Solution: Finding a unit rate

If we divide 150 by 20, we get the unit rate for the ratio, 150 minutes for every 20 miles.

150÷20=7.5

So the runner is running 7.5 minutes per mile. We can multiply this unit rate by the number of miles:

7.5 minutes mile × 6 miles = 45 minutes

Thus it will take her 45 minutes to run 6 miles at this pace.

If it takes her 45 minutes to run 6 miles, it will take her 45÷3=15 minutes to run 6÷3=2 miles at the same pace.

If it takes her 15 minutes to run 2 miles, it will take her 4×15=60 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.

We found her pace in minutes per miles in part (a).


Related Questions

The ratio of boys to girls in class is 4 : 5
What fraction of the class are boys

Answers

Answer:

The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls. Then 4x+5x = 9x is the total number of students. Then the fraction of boys in the class is 4x/9x = 4/9.

Find the measure of X from the circle below:

Answers

Answer: it looks like about 180 degrees

Step-by-step explanation:

sorry if wrong can you help me if right please

to classify
ons.
Classify the system of equations.
– x=2-y
1 + y = 3x + 0
Click on the correct answer.
in slope-
intersecting
y-intersects.
2
parallel
coincident

Answers

Answer:

The system of linear equations consist of parallel lines

Step-by-step explanation:

Here, we want to classify the system of linear equations

Firstly, let us write both in the standard forms

For the first;

y = 3x + 2

For the second;

y = 3x-1

The general form of a linear equation is;

y = mx + b

where m is the slope and b is the y-intercept

In both cases, m = 3 and that means the slope is the same

When two lines have same slope values, they are said to be parallel to each other

Need math help plzzzz neddd helps no links or imma report u 20 points plzz helps

Answers

Answer:

9

Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.

Will mark brainlist if correct and it’s due soon so please help. Use the information provided to write the standard form equation of each circle

Answers

Answer:

D;

(x + 1/2)^2 + (y- √57)^2 = 81

Step-by-step explanation:

Mathematically, the general equation of a circle is given as;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Thus, we have this as follows;

(a,b) = (-1/2, √57) , r = 9

Substituting these values;

(x + 1/2)^2 + (y- √57)^2 = 9^2

(x + 1/2)^2 + (y- √57)^2 = 81

hey cutie pls help me thank you ​

Answers

Answer:

the answer is 2 I believe

I think the answer is 12

Hello, I need help with radical expressions. I've tried looking it up, but I'm getting no solutions. 11^3sqrt(x-12)=66

Answers

Answer:

Here we want to solve the equation:

[tex]11^3\sqrt{x-12} = 66[/tex]

First, we can divide both sides by 11^3 to get:

[tex](11^3\sqrt{x-12})/11^3 = 66/11^3[/tex]

[tex]\sqrt{x - 2} = 66/11^3[/tex]

Now remember that:

(√x)^2 = √(x^2) = x

then if we apply this to our equation we get:

[tex](\sqrt{x - 2})^2 = (66/11^3)^2[/tex]

now we need to solve:

[tex]x - 2 = (66/11^3)^2\\x = (66/11^3)^2 + 2 = 2.002[/tex]

Then x = 2.002

find the volume of the prism. write your answer as a decimal.​

Answers

Answer:

161.21

Step-by-step explanation:

PLEASE HELP ILL GIVE BR4AINLIEST]
PLEASSE SHWO WORK I GOT IT WRONG

Answers

Answer:

16%

Step-by-step explanation:

Answer:

16% you just have to guess till you get it right

85*0.16=13.60

Step-by-step explanation:

PLZ HELP AGAIN DUE TODAY ANSWER CHOICES ARE
A.140
B.188
C.132
D.104

Answers

A) I don’t know for sure but please let me know :)

A submarine descends
300 meters in one hour.
What was it's average
change in depth per
minute?

Answers

Answer:

5 meters per minute

Step-by-step explanation:

300/60 = 5 meters per minute

question on the picture

Answers

B) 48/73
hope this helps

convert the unit. of length​

Answers

Answer:

50688

Step-by-step explanation:

thats all i got sorry if thats wrong but i hope this helps.

help this is 15 points

Answers

Answer:

a) 25 ft

Step-by-step explanation:

30 divided by 6 equals 5, so multiply 5 with 5 and this gets 25 ft as the height of the flagpole

GUYSSS PLS HELP ME IM GONNA FAIL FRR

Answers

Answer:

x = 11

Step-by-step explanation:

180 - (82+50)

180 - 132

48

5x-7 = 48

5x = 55

x = 11

Can any one answer everything

Answers

I don’t really understand for question 11 to 13

A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?

Answers

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

What is a Parabola?

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

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AHH HELP RN PLEASE

IS THIS AN EXPONENTIAL FUNCTION??

Answers

Answer:

this =2.x3

Step-by-step explan

ation:

gramwergssa

Answer:

This =2.x3

Just took this same test

Students at a middle school are divided into 6th, 7th, and 8th grades. A random sample of 15 students from each grade is chosen.
Which sampling method best describes this scenario?

A) simple random sample
B) stratified random sample
C) systematic random sample
D) voluntary response sample

Answers

Answer:

B. Stratified random sample is the correct answer

The best sampling method that describes the scenario where students from each grade (6th, 7th, and 8th) are randomly chosen in a sample of 15 students from each grade is B) stratified random sample.

In a stratified random sample, the population is divided into distinct groups or strata based on certain characteristics, and then a random sample is taken from each stratum. In this case, the distinct groups are the different grade levels (6th, 7th, and 8th grades). By randomly selecting 15 students from each grade, we ensure representation from each grade level in the sample.

This method allows for a more accurate representation of each grade level within the sample and can provide valuable insights into the characteristics and experiences of students in each grade.

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Which of the following describes the data set 6,8,13,15,21,23,31

Answers

Answer:

what are the answer choices?

i'll edit my answer if you give them to me and i know the answer

Step-by-step explanation:

Answer:

It has two numbers per turn. The first is 2 and stays the same the whole time. The second number starts as 5, but every time it hits that number, it increases by 1.

Step-by-step:

As we already know, two starts off the turn, so every number on this turn will increase by 2 (6+2=8.)

Now, for this one, we have five, so for this turn we'll increase it by that much (8+5=13).

However, this number won't stay at 5. Instead, it will increase by 1 every time we hit this turn. Let's continue one:

Turn Two = 13+2=15

Turn 5+1 = 6 = 15+6=21

Turn Two = 21+2=23

Turn 6+1 = 7 = 23+7=31

And from there, the pattern would/will continue!

Hope this helped! <3

Source(s) used: N/A

Consider the system of equations 3x + y = 10 and 6x – y = 17 . What is the value of the x-coordinate of its solution?

Answers

Answer:

x = 3

Step-by-step explanation:

These are simultaneous linear equations hence, we add them because +y and -y will cancel eachother.

3x + y = 10

6x - y = 17

____________

9x        = 27

  x         = 27/9

  x         = 3

So, x- coordinate is 3

Answer: the answer should be x = 3

Step-by-step explanation:

What is the volume of a square pyramid with a base length of 4 cm and a heighi of 9 cm?

Answers

Answer:

V = 48 cm³

Step-by-step explanation:

base = 4 x 4 = 16

V = 1/3(16)(9) = 48 cm³

The Diaz family bought 7 bags of cookies. Each bag had 14 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?

Answers

Answer:

They have 69 cookies left.

Step-by-step explanation:

7 x 14 = 98

98 - 29 = 69

which measure of center is needed in a box plot?

Answers

Answer:

Median

Step-by-step explanation

The median is the value in the center of the data

I REALLY NEED BRAINLIEST PLZ PLZ PLZ

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
m-{=2+2m
СЛАМ
O 4
O 5

Answers

5 I think it’s the a

PLEASE ANSWER QUICKLY I WILL LOVEEE YOU FORREVERRRRRR

Mrs. Robinson surveyed her class about what flavor cake and ice cream they wanted for their class party. The results were split evenly between the cake with 15 choosing chocolate cake and 15 choosing yellow cake. Of the students who chose chocolate cake, 12 also chose vanilla ice cream. There were 7 students in all that chose strawberry ice cream. Construct a two -way table summarizing the data

Answers

Answer:

Answer would be 12

Step-by-step explanation:

i'm not always accurate but your welcome!

megan and chase were talking about the numbers 642 and 724. how does the value of the 4 in the first number compare to the 4 in the second number?

Answers

Answer:

4 in first number is in tenth place, so its 40

4 in second number is in unit place, its 4 only

Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?​

Answers

Answer:

Ms. Costco was offered the best price. It would be $15,900.57 after tax

Step-by-step explanation:

Ms. Costco: $18,795 x .90 =$16,915.50 x .94=$15,900.57

Ms. Deele: $17,050 x .94=$16,027

please help with this problem?!

Answers

Answer:

umm 33 i think

Step-by-step explanation:

The answer is 120 ft

7. A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

Answers

The values less than 4 or greater than 14 cannot be the length of the third side

Which cannot be the length of the third side?

From the question, we have the following parameters that can be used in our computation:

Side lengths of 9 and 5.

Represent the third length of the triangle with x

So, we have the following representation (using the triangle inequality theorem)

a + b ≥ c.

Substitute the known values in the above equation, so, we have the following representation

9 + 5 ≥ x

9 + x ≥ 5

5 + x ≥ 9

Evaluate the sum

14 ≥ x

x ≥ -4

x ≥ 4

So, we have

14 ≥ x

x ≥ 4

Combine

4 ≤ x ≤ 14

This means that values less than 4 or greater than 14 cannot be the length of the third side

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The measure that  cannot be the length of the third side is 14. Option

How to determine the length

An important rule to remember about triangles is called the third side rule:

Third side rule of triangles states that;

The length of the third side of a triangle is less than the sum of the lengths of the other two sides and greater than the (positive) difference of the lengths of the other two sides.

For this triangle, the length of the third side must be greater than

9- 5= 4

Also, the length of the third side must be less than

9 + 5 = 14

Hence,  all the answers are possible except for answer D, which is equal to 14 but not less than 14.

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The Complete question is added as:

A triangle has side lengths of 9 and 5. Which of the following cannot be the length of the third side? *

a. 4

b. 5

c. 11

d. 14

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