Given the speeds of each runner below, determine who runs the fastest. \text{Tony runs 12 feet per second.} Tony runs 12 feet per second. \text{Katie runs 450 feet in 30 seconds.} Katie runs 450 feet in 30 seconds. \text{Frank runs 1 mile in 577 seconds.} Frank runs 1 mile in 577 seconds. \text{Adam runs 880 feet in 1 minute.} Adam runs 880 feet in 1 minute.

Answers

Answer 1

Answer:

Katie runs fastest

Step-by-step explanation:

For us to know the person who runs fastest, we need to calculate their speed in feet per seconds (ft/s)

For Tony; his speed is 12ft/s

For Katie;

Katie runs 450 feet in 30seconds;

450 feet = 30 secs

x = 1 sec

Cross multiply

30x = 450

x = 450/30

x = 15ft

Hence Katie runs 15ft/s

For Frank;

Frank ran 1 mile per 577secs

1 mile = 5280feeet

This mean that he ran 5280feet in 577 secs

5280feet = 577secs

y = 1 secs

cross multiply;

577y = 5280

y = 5280/577

y = 9.15ft/s

Hence Frank ran 9.15ft/s

For Adam;'

If Adam ran 880 ft in 1 minutes, this means he ran 880ft in 60secs

880 ft = 60secs

z = 1sec

Cross multiply

60z = 880

z = 880/60

z = 14.67ft/s

Hence Adam ran 14.67ft/s

From the value of their speed, we can see that Katie runs fastest with a speed of 15ft/s


Related Questions

How to solve a coefficient

Answers

Answer:

A coeffient is the first number at the beginning of a problem

Ex.

2Na+3H ---> 4O+5S

2 would be the coeffient of Na

3 would be the coeffient of H

4 would be the coeffient of O

5 would be the coeffient of S

Step-by-step explanation:

which statement is true ​

Answers

Answer:

the answer is the second bubble

Step-by-step explanation:

Answer:

A

Wanna play among us. Tge code XAGSBF

HELPHELPHELPHELP pls dont spam :)

Answers

Answer:

A reflection of the line segment across the y-axis

Step-by-step explanation:

hope you are having a great day ଘ(੭ˊᵕˋ)੭* ੈ✩‧₊˚

Answer:

B. a reflection of the line segment across the y-axis

(Multi Step Algebra)
15x+12=19x-24
what is the answer? help me please ​

Answers

9

Step-by-step explanation:

15x+12=19x-24

15x-19x=-24-12

-4x=-36/÷(-4)

x=9

You first put all the x on one side and numbers on the other and be careful about + and - and then you divide by everything with the x so you have only the x left and you get the aswer.

Answer:

x=9

Step-by-step explanation:

Learned it in math class, hope this helps:)

What is the reason for each step in the solution of the equation?

4x−1=−2(x+1)
Drag and drop the reasons into the boxes to correctly complete the table.

Please Help I suck at these

Answers

4x-1=-2(x+1)
Distribute
4x-1=-2x-2
Move variable to left and change signs
4x+2x=-2+1
Combine like terms
6x=-1
Divide both sides by 6
X=-1/6

mrs neduz has 30 pints pf soda for the glow in the dark party this friday how many gallons of soda does she have?

Answers

Answer:

Mrs. Neduz has 3.75 gallons of soda.

A high school is doing a fundraiser selling magazine subscriptions. The magazine publisher will pay the school a starting bonus of $500 and they $4 for each magazine subscription sold. At the end of the fundraiser the school is paid $1300. How many subscriptions did they sell?

Answers

Answer:

200

Step-by-step explanation:

You can use the equation 1300=4x+500

Starting bonus ($500) is like the y intercept so you would get that out of the way by subtracting 500 from both side

1300-500=800

500-500=0

Your equation is now:

800=4x

Now since the question is How many subscriptions did they sell and we know that each magazine is $4 all for have to do is divide both sides by 4 to get the answer.

800÷4=200

4x÷4=x

x=200

im giving brainliest to somepne random jus comment luv​

Answers

Answer:

luv luv luv luv luv luv luv

can y’all pls help me.

Answers

Answer:

1. 1 1/2  

2. (0,2)

3. no clue sorry bro

Step-by-step explanation:

Answer:

2) the ordered pair is (4,4) and the other one is

(-2,-5)

ps, sorry i am a 6th grader

What is the conclusion in this conditional statement?
Whenever a car has a flat, it needs a new tire.

Answers

Answer:

The conclusion in this conditional statement would be that it needs a new tire

Step-by-step explanation:

plsss help ASAP
will mark BRAINLIEST

Answers

Answer:

yeah yeah i think the answer is rectangle jp

Step-by-step explanation:

Solve for j.

73 =
j
8
+ 66

Answers

Answer:

.875

Step-by-step explanation:

If m<2= 123, m<12=38 and m<18=100, find the measure of each missing angle.

Answers

Answer:

see below

Step-by-step explanation:

a) ∠1 = 180 - 123  = 57°

b) ∠3 = 100°  (congruent to ∠18)

c) ∠4 = 180 - 100 = 80°

d) ∠5 = 123°  (opposite to ∠2)

e) ∠6 = 57°  (opposite to ∠1)

f) ∠7 = 38° (alternate angle to ∠12)

g) ∠8 = 180 - ∠7 - ∠9 = 180 - 38 - 100 = 42°

h) ∠9 = 100° (congruent to ∠18)

i) ∠10 = 57° (congruent to ∠1)

j) ∠11 = 180 - ∠10 - ∠12 = 180 - 57 - 38 = 85°

k) ∠13 = 100° (parallel angle to ∠3)

l) ∠14 = 80° (parallel angle to ∠4)

m) ∠15 = 123° (parallel angle to ∠5)

n) ∠16 =  57° (parallel angle to ∠6)

o) ∠17 = 80° (opposite angle to ∠14)

When f(x) = -3, what is x?
-29
-10
-3
-1

Answers

Your answer should be -3

Answer:-1

Step-by-step explanation:

LOOK AT THE CHART , WHEN F(X) IS EQUAL TO 3, X IS EQUAL TO -1

PLEASE HELPPP -
brainliest if right!!
don’t comment if you don’t know because if you get it wrong you will be reported by many thanksss

Answers

Answer:

no

Step-by-step explanation:

it is not strait

Hope this works!

A company has determined that 2 out of every 5255 bolts that it ordered is defective. What is the probability that that a worker will pick a bolt that is not defective? Enter your answer as a reduced fraction using / for the fraction bar. Do not use any spaces in your answer.

Answers

Answer:

5253 out of 5255 times.

[tex] \frac{5253}{5255} [/tex]

Step-by-step explanation:

Being that the we are determining the probobility of it not bein defecteve, then we simply count the bolts not defective rather then defective ones. We can do this simply by subtracting the defective bolts from 1, or total bolts recieved.

[tex]1 - \frac{2}{5255} [/tex]

Which is the equation that gives us the answer,

[tex] \frac{5253}{5255} [/tex]

The length of a rectangle is three times its width. The perimeter is 64 feet. What are the dimensions of the rectangle?

Answers

Answer:

8 and 24

Step-by-step explanation:

let width be X

then length will be 3x

2(3x+X)=64

3x+X=32

4x=32

X=8

then 3x=24

Does the following picture represent a linear function?

Answers

Answer: No

Step-by-step explanation: For x 0-2, the y is increasing by +5 every time. However, the moment it hits x=2, it starts decreasing by -5 every time. This means that it does not follow on set pattern (either +5 or -5) and looks more like a ^ than a /.

Nope, it starts down, comes up a little and goes back down which makes it a parabola, not a line.

CAN SOMEONE HELP ME !

A plant grows at a constant rate. Daniel records the height of the plant each
week. The unit rate is measured in inches per week. What is the constant of
proportionality?
18 inches
15 inches
12 inches
Week 4
Week 5
Week 6

Answers

Answer:

C

3 in per wk

Step-by-step explanation:

12

12×3=15

15+3=18

The constant of proportionality is 3 inches/week

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. It is same as slope.

We have a plant grows at a constant rate.

The data recorded by Daniel is as follows -

Week 4       12 inches

Week 5       15 inches

Week 6       18 inches

The equation y = Kx also represents direct proportionality. Here, K is called constant of proportionality. We have to find the slope of the line represented by the data as -

K = slope

K = (15 - 12)/(5 - 4)

K = 3/1

K = 3

Therefore, the constant of proportionality is 3 inches/week.

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Lucy cuts 4 squares with side length x in. From the corners of a 6 in. By 9 in. Cardboard rectangle. She folds the remaining cardboard to make a tray that is x in. High. Write and simplify a function for the volume V of the tray in terms of x.

Answers

Answer:

4x³ - 30x² + 54x

Step-by-step explanation:

Length of the rectangular cardboard = 9 inches

Width of the rectangular cardboard = 6 inches

if the square of sides x inches is cut from each corner of the rectangular cardboard and folded to make a tray, then we have

Length of the tray = length of cardboard - 2(side of square )

= 9 - 2x

Width of the tray = width of cardboard - 2( side of square)

= 6 - 2x

height of tray = sides of square

= x

volume of tray = Length × width × height

= (9 - 2x) (6 - 2x) (x)

Open the parenthesis

= (54 - 18x - 12x + 4x²)(x)

= 54x - 18x² - 12x² + 4x³

= 54x - 30x² +4x³

Re-arrange

4x³ - 30x² + 54x

Volume, V of the tray in terms of x = 4x³ - 30x² + 54x

Answer:

4x^3-30x^2+54x

Step-by-step explanation:

When invested at an annual interest rate of 4.7%, an account earned $1,290.33 of simple
interest in 3 years. How much money was originally invested? If necessary, round to the
nearest cent.
O $82,361.49
O $9,151.28
O $20.22
O $91,512.77

Answers

Answer:

The answer is 82,361.49

Step-by-step explanation:

after simplifying the equation, the problem is 1290.33 divided by .27 times 3 - the quotient is 82,362.49 (in simplified form)

The amount of money that he originally invested will be $9,151.28. Then the correct option is B.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

I = (PRT)/100

Where P is the principal, R is the rate of interest, and T is the time.

When contributed at a yearly loan fee of 4.7%, a record acquired $1,290.33 of straightforward interest in 3 years.

Then the amount of money that he originally invested will be given as,

1290.33 = (P x 4.7 x 3)/100

Simplify the equation, then we have

1290.33 = (P x 4.7 x 3)/100

129033 = 14.1 x P

P = 129033 / 14.1

P = $9,151.28

The amount of money that he originally invested will be $9,151.28. Then the correct option is B.

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ2

rich borrowed 100,000 for a period of five years. his interest rate is 3%. how much interest will rich pay in all?

Answers

Answer:

15000  ( I THINK)

Step-by-step explanation:

you have to mutiply 100000 times 5 times 3% and you get 100000.

5) Please solve the following equation for x
5x2 +4= -41

Answers

Answer:

[tex]x= 3i, -3i[/tex]

Step-by-step explanation:

please mark me brainliest :)

The answers is x=-9/2

find the rate of change

Answers

Answer:

The rate of change represented in the table is 14

Step-by-step explanation:

rise over run or y2-y1/x2-x1 to find the rate of change

pick two points

lets use (0,-11) and (2, 17)

17 - (-11) / 2 - 0

= 28 / 2

= 14

please click on the image and answer me ​

Answers

Answer:

27.40

Step-by-step explanation:

Answer:

$27.40

Step-by-step explanation:

If Amelia bought 4 pounds of roast beef, and each one was $6.85, then you would multiple 4x6.85, or 4(6.85). If you distrubute the 4 to the 6.85, you get 27.4, or 27.40.

Which of these statements is true about the sum of the meatures of the interior angles of a triangle
А
It equals 90°, because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a right angle
Boit equals 180", because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a right angle
cit equals 90", because it's possible to arrange three copies of the same triangle so that the sum of its three angles forms a ine.
Dit equals 180", because it's possible to arrange three copies of the same triangle so that the sum of its three angles for a ne

Answers

Answer:

180 degrees or D

Step-by-step explanation:

It adds up to 180 degrees This is how I remember that: A square is 360 degrees and cut in half is 180

Hope this helps :D

Thanks if you mark brainliest

The sum of all the angles of a triangle is 180 degrees.

What is triangle?

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is the sum of the measures of the interior angles of a triangle

As discussed above, the sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

Therefore, the sum of all the angles of a triangle is 180 degrees.

To solve more questions on triangles, visit the link below-

brainly.com/question/25950519

#SPJ2

There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

Answers

Answer:

7:17

Step-by-step explanation:

There are 7 girls and 10 boys taking gymnastics lessons. Write the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

Total number of students taking gymnastics classes = 7 girls + 10 boys = 17 students

Hence:

the ratio that compares the number of girls taking gymnastics lessons to the total number of students taking gymnastics lessons

= 7 : 17

witch is the hightest mountain in the world

Answers

Answer:

Mt. Everest

Step-by-step explanation:

hope that helps

Answer:

Mount Everest

Step-by-step explanation:

Elevation: 29,029′

with this elevation the worlds tallest mountain is Mount Everest

There were 3 apple, 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape?

A. 1/100
B. 1/50
C. 1/45
D. 1/25

Answers

                Hey Emma Here!

Answer:

B or A i think correct me if im wrong i like to learn from my mistakes =)

Bye Sorry I Wasn't Much Help Have A Nice Day!

Answer:

the answer is C

What’s the answer for x??

Answers

Answer:

3x+85= 21

or, 3x= 85- 21

or, 3x= 64

or,x= 64/3

;. x= 21.3

Step-by-step explanation:

the value of x is 21.3

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