Mathematics Middle School

A runner completed a 26.2-mile marathon in 210 minutes.
- Estimate the unit rate, in miles per minute. Round your answer to the nearest hundredth.
- Estimate the unit rate, in minutes per mile. Round your answer to the nearest tenth.
- Another runner says, "I averaged 10-minute miles in the marathon." Is this runner talking about the unit rate described in part (a) or in part (b)?
- Explain your reasoning.

Answers

Answer 1

Answer:

0.123 miles per min

8 mins per mile

The runner is talking about part (b)

Part a) is miles per minute and the runner said they did 10 minutes every mile same thing as minutes per mile or part b

Step-by-step explanation:

Since your doing per minute you do you do the amount of miles over the amount of minutes so you can see how many miles the runner went in each minute

And when doing per mile its the same idea you just minutes over miles now so you get for every mile the number of minutes.

Related Questions

Write an exponential growth function to model each situation,
15. Initial value: 20
Growth factor: 1.25

Answers

Answer: f(x)=20(1.0125)^t

Step-by-step explanation:

use the formula P(1+r)^t when considering exponential growth (make it 1-r if decay)

P - principal (initial) value

r - growth rate (as a decimal! so divide by 100)

t - time (can be years, months, days, etc)

so now that we know the formula, just plug in everything you know!

P=20, r=0.0125, t=x

so the function is

20(1+0.0125)^t or 20(1.0125)^t

since we dont have a defined time, that becomes the variable for x, the one we can manipulate, so if they ask for 10 years, just replace t with 10!

One boxcar of a model train measures 6 inches in length. The actual length of a boxcar is 606 inches (50.5 ft). What is the scale of the model?

Answers

Answer:

56.ft

Step-by-step explanation:

Answer:

56 feet

Step-by-step explanation:

A teapot can hold 45 liters of water what percentage of the pot is filled when it contains 9 liters of water?

Answers

Answer:

20%

Step-by-step explanation:

9/45 x 100

Answer:

20% of the pot is filled when it contains 9 litres of water.

Step-by-step explanation:

45 litres (total)

9 litres (filled)

9 ÷ 45 = 0.2

0.2 × 100 = 20

(Basically: [tex]\frac{9*100}{45}[/tex])

4x - 2(x - 2) = -9 + 5x - 8

Answers

Answer is x = 7

Step by step

4x -2(x - 2) = -9 +5x -8
Distribute

4x -2x +4 = -9 +5x -8
Combine

2x + 4 = 5x -17

Subtract 5x from both sides to isolate variable

2x -5x +4 = 5x -5x -17
Combine

-3x +4 = -17

Subtract 4 from both sides to combine constants

-3x +4 -4 = -17 -4
Combine

-3x = -21

Divide both sides by -3 to solve

-3/-3 x = -21/-3

x = 7

The equation d = 10h represents the number of miles d, that Jin travels in h (hours). If Jin cuts down the time it takes him to travel 30 miles to 1.5 hours, what constant is multiplied by in the new equation
Equation: d = ________ h

Answers

0.15 is multiplied by 10 = 1.5 hours

The filled spot will be 20 because 20 times h (1.5) equals 30(d). To solve divide 30 by 1.5 and get 20

what is the of this expression 5/6 (1/8 / 3/4)

Answers

Answer:

2/3

Step-by-step explanation:

5/6-(1/8 / 3/4)

Skip flip multiply

5/6-(1/8x4/3)

5/6-(4/24)

5/6-(1/6)

4/6

2/3

hopes this helps please mark brainliest

Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas. (Please show works!!!)

Answers

Answer:

Step-by-step explanation:

there isnt any out numbers so the answer is just 5h.

5+h+5+h+h+h=P

Since there are 4 sides, there are 4 terms.

Please help asap and explain how you did it! Tysm!!♡♡

Answers

Answer:

Step-by-step explanation:

The points have a distance of 5 away from eachother

The answer is 5
Explanations:

Carl says the solution to a system of linear equations is (2, 6). What does Carl’s solution mean?

A. (2, 6) is the point of intersection for the lines of the two linear equations on a graph.

B. (2, 6) does not fall on the line for either equation.

C. The solution to one equation is x = 2 and the solution to the other equation is x = 6.

D. The point (2, 6) is the point of origin for one of the two equations.

Answers

Answer is A. (2, 6) is the point the lines intersect on the graph, this is the x,y solution to the equation. It has exactly one solution, if (2, 6) were substituted into the equation the equation would equal or be true.

the answer for this is A.

Help pls, v2 of last question. Zoom in if needed

Answers

Answer: I'm not 100% sure what you're asking for, but the full answer to the last question is a .25 increase or a 25% increase.

Step-by-step explanation:

First, we need to see how much it increases.

We would take 1.50, and minus 1.25 from it to get our first answer of .25.

To get the percentage of increase, we would take our .25, and times it by 100 equaling 25%.

On the last question it’s a .25 increase so it’s going to be 25% increase.

Which of the following has a higher percentage of a dollar

a) The value of 7 qurters,4 dimes and 37 nickels
b) The value of a half dollar, 7 dimes and 102 pennies
c) the value of two Susan B Anthony coins, 13 nickels and seventy one pennies
write your answer as a dollar amount and a percent

Answers

Answer:

Step-by-step explanation:

a) 7(25) + 4(10) + 37(5)

7(20) +7(5) +4(10) + 5(30) + 5(7)

1.40 + 35 + 40 + 1.50 + 35

1.75 + 40 + 1.85

3.60 + 40

4.00 = 400% of $1

b) 50 + 7(10) + 1.02

50 + 70 + 1.02

1.20 + 1.02

2.22 = 222% of $1

c) 2.00 + 13(5) + 71

2.00 + 5(3) + 5 (10) + 71

2.00 + 15 + 50 + 71

2.00 + 65 + 71

2.00 + 1.36

3.36 = 336% of $1

A has a higher percentage of dollar because 400%>336%>222%

need help on this one

Answers

Answer:

Repeating

Non-Repeating

repeating

Step-by-step explanation:

1. Repeating
2. Repeating
3. Non-repeating
4. Repeating

HELP PLEASE!!

This table represents the number of ounces, u, a kitten grows after w, weeks.

When graphed, all of the points in the table lie on the same line.

What is the slope and y-intercept of the line?

slope=2/3, y-intercept=−0.2

slope=−3/2, y-intercept = 3

slope= 3/2, y-intercept = 3

slope= −2/3, y-intercept=−0.2

Answers

Y intercept is the value of y at x = 0

At x = 0, y = 3

Y intercept is 3

The rate of growth of the cat is positive, meaning thats it gains, not loses, weight.

Option C is the only correct one.

It has a positive slope, and a y intercept of 3

To solve for slope mathematically, pick two points.

(0, 3) (6,12)

(x1, y1) (x2, y2)

(x2, y2) (x1, y1)

Pick which one is x1 and y1 and x2 and y2 based on what seems easier to calculate

Slope is equal to [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{12-3}{6-0}[/tex]

9/6

slope is 3/2

Hope this helps,

Jeron

help fast
expressions equivalent to 0.2(1.3x - 4.2) - x + 6.2

Answers

69696696969696969696

Simplify the radical expression.
-0.74x + 5.36

The shaded model represents 100%. Which model represents 25%?

Answers

➡️Remember to mark me brainliest, please

Answer:

B is the best answer because if you multiply 25x4 it gives you 100 which is even

Solve -5w = -80 for w.

w=

Answers

Answer:

[tex]\huge\boxed{\sf w = 16}[/tex]

Step-by-step explanation:

Given equation:

-5w = -80

Divide -5 to both sides

w = -80/-5

w = 16

[tex]\rule[225]{225}{2}[/tex]

-5w=-80
—— ——
-5 -5

w=16

What is the sum of the composite numbers between 13 and 23? Justify your answer. A. The composite numbers between 13 and 23 are 14, 15, 16, 17, 18, 20, 21, and 22. The sum of these numbers is 143. B. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, and 22. The sum of these numbers is 105. C. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, and 22. The sum of these numbers is 137. D. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, and 22. The sum of these numbers is 126.

Answers

Answer:

D. The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, and 22. The sum of these numbers is 126.

Step-by-step explanation:

14+15=29+16=45+18=63+20=83+21=104+22=126

Please brainlist if you can....

The composite numbers between 13 and 23 are 14, 15, 16, 18, 20, 21, 22. The sum of these numbers is 126.

What are composite functions?

Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.

We need to find the sum of composite numbers between 13 and 23.

Therefore,

14+15 = 29+16 = 45+18 = 63+20 = 83+21 = 104+22 = 126

The composite numbers between 13 and 23 are;

14, 15, 16, 18, 20, 21, and 22.

Hence, the sum of these numbers is 126.

So the correct option is D.

Learn more about numbers here;

https://brainly.com/question/23679673

#SPJ2

Can someone help, please

Answers

Answer:y=-9x+7

Step-by-step explanation:

The slope intercept form is y=mx+b

M= slope, b=y intercept

y=-9x+7

Y=-9x+7
M =slope b= y intercept

Days People
1 26
2 30
3 34
4 38
5 42
6 46

The chart shows how many people have signed up to go on a field trip each day. How many people would you expect to sign up on day 7?
Responses
A 4949
B 5050
C 4747
D 48

Answers

50 people would be expected to show up on day 7.

Each day the number of people goes up by four people, 46 + 4 = 50

Therefore there would be 50 people by day 7.

Answer: B

Explanation:

If you look at the number of people, you can see by how many days go by the number of people go up by +4. So, by the seventh day there should be 50 people because 46 + 4 = 50

Question 10 math homework

Answers

Answer:d

Step-by-step explanation:

I believe the answer to that question is d

1.John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65. How old are John and Sam?

2.The difference between two numbers is 28. Find the two numbers if the larger number is 3 times the smaller number.

3.Mary and Jim collect baseball cards. Mary has five more than three times as many cards as Jim. The total number of cards they both have is 147. How many cards do they each have?

Give brainliest

Answers

Answer:

2. 14 and 42

i hope it's right :)

Step-by-step explanation:

Let the number be x

So, the larger number = 3x

So the # is 14

Other #

The ages of John and Sam are 47.34 and 17.66 years respectively.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65.

Let, The age of Sam be 'x'.

Therefore, 2x + 12 + x = 65.

3x = 53.

x = 17.66.

So, Sam is 17.66 years old and john is (65 - 17.66) = 47.34 years old.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Can someone help, please

Answers

Answer: the slope is -5/8

Step-by-step explanation: use desmos graphing calculator, it helps a lot. just put the 2 coordinates in and you see that the y value drops from 9 to 4, and the x value moves right from 1 to 9, hence -5/8

Answer:slope is -5/8

PLEASE HELP AND GRAPH I WILL GIVE BRAINLIEST!!!!! IMAGES ADDED

Answers

Qu2) Yes, the graph shows that x and v have a proportional relationship. This can be seen because the points lie on a straight line, which indicates that the ratio of x to v is constant. When the value of x increases by 2, the value of v also increases by 4, which means that x and v are directly proportional

ONLY DOING THIS SO THE GUY ONTOP CAN GET BRAINLIEST!!

Which of the following questions describes the equation a/4 = -20?

A What number, when multiplied by four, is equal to negative twenty?
B What number, when divided by four, is equal to negative twenty?
C What number, when multiplied by negative twenty, is equal to four?
D What number, when divided by negative four, is equal to twenty?

Answers

Answer:

Option - What number , when divided by four , is equal to negative twenty is correct

Step-by-step explanation:

Given equation is

Rewrittting the given equation as below :

The number a is divided by 4 is equal to -20

Option question describes the given equation What number , when divided by four , is equal to negative twenty is correct

ILL GIVE BRAINLISET
Simplify fraction with 7 minus 2 times 8 in the numerator and the cube root of 8 plus 6 in the denominator.

negative nine eighths
three eighths
negative three eighths
nine eighths

Answers

0.625 that’s a correct answer

Simplified form of the fraction is -9/8. Therefore, option A is the correct answer.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, (7-2×8)/(∛8+6).

= (7-16)/(2+6)

= -9/8

Therefore, option A is the correct answer.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Latanya plans to repaint some classroom
bookcases. She has 5 gallons of paint. All
of the bookcases are the same size and
each requires gallon of paint. What is
the maximum number of complete
bookcases she can paint?

Answers

Latanya has 5 gallons of paint and each bookcase requires 1 gallon of paint to be fully painted, so she can paint 5/1=<<5/1=5>>5 bookcases.
This is the maximum number of complete bookcases she can paint.

can someone help me with these?

Answers

Answer:

#1 is 14

Step-by-step explanation:

if a = 16, and you're doing a - 4, that means 16-4, which is 14 :)

1.) 16-4=12
2.)2(3)+9=15
3.)26/2=13
4.)5(9+3)-6=54
5.)6^2+23=59
6.) 3(8)-11=13
7.) (5-2)•9=27
8.) 2(3^2)•5=90
9.) 22,20,18
10.) W=2,3,4~ 3v+w= 14,21,28
11.) y=1,2,4~ x^2+y = 4, 18, 16

1. Corey’s pay increases from £12.36 per hour to £14.11 per hour. Find the percentage increase to 1 decimal place.

Answers

Answer:

14.2% increase

Step-by-step explanation:

Corey’s pay increases from £12.36 per hour to £14.11 per hour. Find the percentage increase to 1 decimal place.

(14.11 - 12.36)/12.36 = 0.141586

0.141586 as a percent:

0.141586 * 100 = 14.2% increase

14.2% increase
would be the answer

Help. I'll mark as brainlist.

Answers

Answer:

Step-by-step explanation:

Angle ACD and Angle DCA you will realize that they represent the same angle.

Angle ACD and Angle DCA
The angle is the same,but just has two different names

Can someone help, please

Answers

Answer: -9/7 or -1 2/7

Step-by-step explanation:

use slope formula

y2-y1/x2-x1

(x1,y1)(x2,y2)

substitute in and solve

8-17/8-1

-9/7

the slope is -9/7

Answer:

slope = m = -9/7

Step-by-step explanation:

(1,17) (8,8)

(X1, Y1) (X2, Y2)

slope = (Y2-Y1)/(X2-X1)

then

slope = m = (8-17)/(8-1)

m = -9/7

Other Questions

which is an example of an environmental factor that can impact your health and wellness?1) access to healthcare 2) peers that smoke and drink alcohol 3) eating fruits and vegetables 4) wearing a seatbelt Lenders must report detailed information about loan transactions and demographic information concerning borrowers in order to prove that they are not discriminating. Which of the following laws creates that reporting requirement? a. Gramm-Leach-Bliley Actb. HMDAc. TILAd. RESPA The density of an object is 5g/cm^3 and the volume of the object is 10 cm^3. What is the mass of the object 10. In a household radiator, 1000.g of steam at 100.C condenses (changes from gas toliquid). How much heat is released? The synthesis of cholesterol is a process that involves over 30 different steps. Which step is the rate-determining step of cholesterol synthesis?. NEED HELP ASAP!!!!!!! Cacti can survive with very little water.Which statement describes why cacti have this ability?(choose only one answer)A. Cacti have a homeostatic system to control water loss.B. Cacti do not have pores through which they can release excess water.C. Cacti require a large amount of water. D. Water is poisonous to cacti. I need help with the last part. I dont know what to do with the pi part. If someone can help, that would be great!! What was John Frmont's contribution to California settlement? He created many of the maps used for overland travel to California. He encouraged many settlers to come to California by writing letters. He discovered gold at Sutter's Mill. He killed off many of the Indians that people were scared of in California. two ways in which events happening in the lower Mississippi River Valley created economic interdependence between the North and the South. In each blank below a single digit is inserted such that the following six three-digit numbers, in this order, form an arithmetic sequence: 1_ _, _ _ 9, 2 _ 2, _ 6 _, 2 _ _, _ 3 _What is the value of the next number in the sequence? solve the equation -(1+7x)-6(-7-x)=36 What term is used to describe the business model where service providers to make computing resources and infrastructure management available to customers as needed and then charges them for its specific usage rather than a flat rate?. Choose the system with one solution. (Hint: Try graphing each one on your calculator)A. y = 71y=-2B. y = 5x + 2 C. y = 5x + 2 D. 2x + 4y = 6y = 5xy = -4x + 2x + 2y = 3Problem 9 3.In the context of the text, how does fear drive action? How did fear contribute to thedecisions of countries to turn refugees away? Cite evidence from this text, your ownexperience, and other literature, art, or history in your answer. What are the roots of the equation x - 12x + 72 = 0 in simplest a + bi form? A group of participants is interrupted while working on a problem. The participants then spend some time on an unrelated task and, finally, return to the initial problem. Studies of this sort show that the. Imagine that SpaceX also invented a way for your spacecraft to travel inside of a black hole and come back again, and to prove it, they wanted to build a toollike a super-powerful telescopefor your friends and family to view your journey into and out of the black hole from their homes on Earth. From your family and friends' perspective, as you approached the black hole's event horizon, what would they see? what is one of the changes that occurs with the transition to intensive, industrialized agriculture that reflects a distinctly marxist perspective? cassie prepaid a 6-month membership to the summer lotus yoga studio. she received a one-time discount of $40 for prepaying. cassie paid a total of $650. Mr. Ramli is a small entrepreneur, he wants to invest RM 2000 in a spice business. Heis confident that his investment, RM y will increase at a rate 2(x+121) which x is timein year. Find the number of years it takes for his investment money to be doubled from hisoriginal investment.