Jana and Jenn are training to run a race. Jana runs 3 miles in 1/3 hour. Jenn runs 5 miles in 3/4 hour. Who runs faster, and what is the unit rate of her speed in minutes per mile?

Answers

Answer 1

Answer:

Jenn runs faster at 9 minutes/mile.

Step-by-step explanation:

Jana runs 3 miles in 1/3 hour.

1/3 hour is equivalent to 1/3*60 = 20 minutes

The ratio time/distance is the reciprocal of the speed and is greater as the speed is lower and vice-versa.

This ratio for Jana is 20/3=16.7 minutes/mile

As for Jenn, she runs 5 miles in 3/4 hour.

3/4 hour is equivalent to 3/4*60=45 minutes

The ratio time/distance is 45/5=9 minutes/mile

Since Jenn has a lower ration, her speed is greater than Jana's, thus Jenn runs faster.


Related Questions

where does 17 lies between

Answers

Answer:

it lies between 16 and 18

Step-by-step explanation:

Answer:

16 and 18

Step-by-step explanation:

convert 0.00633 to a scientific notation

Answers

Answer:

6.33 × 10⁻³

Step-by-step explanation:

Scientific Notation: x.xx × 10ⁿ

We simply follow the base 10 decimal system to put anything in scientific notation. Since we are moving the decimal place 3 places to the right, we would have it as 10⁻³ multiplying our standard form.

Answer:

6.33 × 10[tex]^{-3}[/tex]

Step-by-step explanation:

** The negative three is supposed to be an exponent **

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Answers

Answer:

it is already an equation

Step-by-step explanation:

Answer:

Already and equation!

Step-by-step explanation:

Emma is 10 years younger than Joseph. Joseph's age 6 years from
now will exceed twice Emma's age 2 years ago by 3 years.
How old is Em ma and Joseph now?

Answers

Answer:

Step-by-step explanation:

let Emma age be x now

Let Joseph age be y now

If Emma is 10 years younger than Joseph, then x = y-10

six years from now:

Emma will be x+6 years

Joseph will be y+6 years

If Joseph's age 6 years from  now will exceed twice Emma's age 2 years ago by 3 years, then:

y+6 = 2(x+6-2) + 3

y+6 = 2(x+4)+3

y + 6 = 2x+11

y + 6 = 2(y-10)+!1

y + 6 = 2y-20+11

y - 2y = -9-6

-y = -15

y = 15

Since x = y -10

x = 15-10

x = 5

Hence Emma is 5years old now and Joseph is 15years old now

Find the coordinates of the midpoint of LB if L(8, 5) and B(-6, 2)

Answers

Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

M = (1, 3.5)

The coordinates of the midpoint of LB are (1, 3.5)

HELP WITH MATH!!! 20 points
the questions are solving systems by substitution

Answers

Answer: 1. 2x-3y=-1 y=x-1 2. y=6x-11 -2-3y=-7 3. y=3x+5 5x-4y=-3

#1. 2x-3y=-1 and y=x-1

#2. y=6x-11 and -2x-3y=-7

#3. y=-3x+5 and 5x-4y=-3

You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement

Answers

9514 1404 393

Answer:

  7

Step-by-step explanation:

All of the digits in the given number are significant. There are 7 significant digits.

__

Comment on other cases

When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.

When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.

In a number with no decimal point, the leading and trailing zeros are not significant.

If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)

Is 17/5 + square root of 64 greater than 8 + pi?

Answers

Answer:

I'm probably wrong 69??? Yea I'm definitely wrong

If A and B are independent events, which equation must be true?
Α.
P(B/A) = P(A)
B.
P(B/A) = P(B)
C.
P(B/A) = P(A) P(B)
D.
P(B/A) = P(A) + P(B)

Answers

Answer:

B. P(B/A)=P(B)

Paula walked 4.5 miles. How many kilometers did Paula walk? I mile = 1.61 kilometers

Answers

Answer:

2.79 kilometers

Step-by-step explanation:

4.5/1.61

What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?

Answers

Answer:

96

Step-by-step explanation:

Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)

4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)

= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96

In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month

Answers

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

Alice was rock climbing. She climbed to a height of 22 feet. Next, she descended 8 feet. Then, she ascended another 34 feet. What was
Alice's elevation?

Answers

Answer:

48 brainlest plz

Step-by-step explanation:

22-8=14

14+34=48

please i need some help due in some mins

Answers

the answer is a 0.1 hope this helped

HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box

Answers

Well, to find the slope of a line, mx + b = y is the formula, and m is slope.

-71 - 2y = 56
We add the 71 on both sides.
-2y = 126
Divide by -2 on both sides.
y = -63

There is no distinguishable slope in this because y equals an integer, not an expression that includes x or m, so the slope is zero.

Hope this helps! (:

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
a
How many hours would it take to fill the order if the number of working machines decreased by factor of 2?

Answers

Answer:

44 hours

Step-by-step explanation:

just do 22 x 2

You decide to purchase a bond for $500. It pays 5% simple interest per year and matures in 5 years. How much interest will you earn once the bond matures? Round your answer to the nearest dollar.
Do NOT round until you have calculated your final answer.

Answers

Answer:

$625

Step-by-step explanation:

You start with $500

The interest per year is 5% or 500 x 0.05 = $25

If it matures 5 years and each year has an increase of $25 then

Year 1 - $525

Year 2 - $550

Year 3 - $575

Year 4 - $600

Year 5 - $625

Answer:

Step-by-step explanation:

We express the interest rate r in decimal form, so we have r=5%=5100=0.05. The principal is P=500 and the time in years is t=5. So, the interest is I=Prt=(500)(0.05)(5)=$125. The interest earned is $125.

A deep sea diver descended from a rock that is 45 feet below

Answers

Diver descended 43 feet from the rock to the coral reef.
A deep sea diver descended from a rock that is 45 feet below sea level to a coral reef that is 88 feet below sea level.
To find : How far did the diver descend from the rock to the coral reef.
Solution : We have given
A deep sea diver descended below sea level = -45 feet .
A coral reef that is 88 feet below sea level = -88 feet.
Because we take the negative value below sea level( 0 ).
Difference = -45 - ( - 88)
Difference = -45 + 88 = 43
Diver descended 43 feet from the rock to the coral reef.
Therefore, Diver descended 43 feet from the rock to the coral reef.
If that is your question...


O SYSTEMS OF EQUATIONS AND MATRICES
Solving a word problem using a 3x3 system of linear equations....
Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third
evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?

Answers

Answer:

Find the midpoint of the line segment joining the points ​R(​,​) and ​S(​,​).

Step-by-step explanation:

Factorise fully
-x - 8


please do quick! will mark brainiest!​

Answers

Answer:

-(x+8)

Step-by-step explanation:

-x - 8

-1 *x -1 * 8

Factor out a -1

-1(x+8)

-(x+8)

Answer:

-1(x+8)1(-x -8)

Step-by-step explanation:

[tex] - x - 8[/tex]

Factor out common term : -1

[tex] - 1(x + 8)[/tex]

Your cell phone plan is $40 per month plus $0.10 per minute for each minute over 300 minutes of call time. Your cell phone bill came to $110.00. How many mintes did you go over your alloted timed?

Answers

i have no idea :) sooooo yea

6m + 4n + 3m - 6

What are the coefficient[s]? Separated them with a comma

Answers

Answer:

6,4,3

Step-by-step explanation:

A coefficient is a number multiplied by a variable in the a equation. 6 is not a coefficient because it is not being multiplied by anything

Answer:

6,4,3, and -6

Step-by-step explanation:

These are the coefficients because usually coefficients are accompanied with a variable with is meaning to multiply. In this case you would combine all of your like terms.

PLEASE HELP ASAP

can you help me please​

Answers

so x is equal to 40 so the length of M and N is 140 and no is 70 with the total length being 210 hope I helped could I get a brainliest!!

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Answers

Answer:

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

Step-by-step explanation:

A rectangle has side lengths 6 cm and 9 cm. What would the side lengths of the image be after a dilation of 2.25? Explain your reasoning.

Dilation can also be referred to as scale factor

6cm × 2.25 = 13.5 cm

9 cm × 2.25 = 20.25 cm

The side lengths of the image after the dilation = 13.5 cm and 20.25cm

HELP PLEASE !!!!!!!!!!!!!!!!!!

Answers

Answer:

?

Step-by-step explanation:

Una empresa dedicada a la venta de buzos en La Victoria, dispone para la confección de 500 m de tela algodón y 520 m de tela poliéster. Cada pantalón del buzo necesita 1 m de algodón y 2 m de poliéster; para cada casaca se necesitan 2 m de algodón y 1 m de poliéster. La ganancia por cada pantalón es de S/ 9 y la ganancia por cada casaca es de S/ 12. El fabricante sabe que sus máquinas en promedio demoran 4 minutos en confeccionar un pantalón y 10 minutos en confeccionar una casaca; él promete entregar un pedido en una semana trabajando sus máquinas de lunes a viernes 8 horas diarias.
a) Modele la función objetivo y elabore el SIL para las restricciones.
b) ¿Cuánto será el pedido máximo de buzos (casaca y pantalón) que podrá entregar en una semana de trabajo? ¿Cuánto será su ganancia máxima?

Answers

Answer:

x₁ = 60 pantalón de buzo

x₂ = 0  casaca

z(max) = 540 unidades de monedas

Step-by-step explanation:

El problema se resolverá usando un software de solución de problemas de optimización (integer linear programming solver)

z = 9*x₁ + 12*x₂       a maximizar

Sujeto a:

1) Primera restricción disponibilidad de algodón 500 m de tela

1*x₁ + 2*x₂   ≤ 500

2)Segunda restricción disponibilidad de poliester  520 m de tela

2*x₁ + 1*x₂ ≤ 520

3) Tercera restricción  tiempo disponible 8 h/d * 5 d/s = 40 h/s

40 * 60  = 240 minutos disponibles, entonces

4*x₁ + 10*x₂  ≤ 240

4)Restricciones generales  x₁ ≥ 0 ;   x₂ ≥ 0 ambas solo deben tomar valores enteros

Con el uso del calculador en línea se obtiene:

x₁ = 60

x₂ = 0

z(max) = 540

Which graph represents a function?

Answers

The third graph represents a function because it passes the vertical line test (VLT). (:

Does anyone know the answer?

Answers

Answer:

20 i think

Step-by-step explanation:

X = 63 is the answer.

I have no idea how to do this

Answers

Answer:

it's ok!! thats why you have us!! we're here to help!

13/z

have a nice day!! also hope this helps!

Step-by-step explanation:

Answer:

13 on top

Z on the bottom

Step-by-step explanation:

6 plus 7 is 13

7
Felicia is making trail mix. The recipe calls for 3 cups pretzels and 1.5 cups of m&m's.
She wants to make 27 cups of trail mix for a birthday party. How many cups of pretzels and m&m's does she need?

Answers

Answer:

81 Cups of Pretzels and 40.5 Cups of M&M's

Step-by-step explanation:

p= Pretzels

m= M&M;s

3p+1.5m= 1

3(27)+ 1.5(27)

81 + 40.5

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Pls Help me. I will mark brainlist. Which of the following is true?1. prokaryotic cells are more complex than eukaryotic cells2. all cells have a cell membrane and a cell wall3. mitochondria convert glucose and oxygen into ATP energy for the cell4. prokaryotic cells do not have DNAPLEASE ANSWER :) you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50? PLS HELP, WILL REWARD BRAINLIEST!What are some of the unique ways Caribbean islands formed? can yall help me plz 7. What is the water vapor concentration at the tropopause? There is a small fire at the library in a childrens hospital. What should the hospital staff do first? utilise un balai pour... Select the correct answer.To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?A. slope = 850 and y-intercept = 18B. slope = 18 and y-intercept = 850C. slope = -18 and y-intercept = 850D. slope = 850 and y-intercept = -18 AsociacionesUsing vocabulary from the lesson, write one word you associate with each item. Do not repeat words. Follow the model.Modelola ducha Example answer ducharse End example answerbaarseel despertadorel lavaboel champla ropala caracepillarse2Oraciones ilgicasEdit the sentences so they make sense. Follow the model.ModeloRaquel se maquilla con la pasta de dientes.Example answer Raquel se maquilla con el maquillaje. End example answerLa nia se lava el pelo con pantuflas.Despus de baarse, Alfredo necesita un despertador.Valentina se levanta, se viste y por ltimo se ducha.Antes de acostarse, Adrin se cepilla los dientes y se duerme.Antes de comer, los chicos se ponen las manos.La seora Bustamante se afeita la cara y se maquilla el pelo.3EscribirDescribe the morning routine of someone you know using at least six words from the list.Word Bank referenceYour options are:antes (de) ,despus (de) ,luego ,por la maana ,por ltimo ,se cepilla ,se despierta ,se ducha ,se levanta ,se pone ,1 ATTEMPT LEFTFor technical support click support.vhlcentral.com, or submit help request 2020 VISTA Higher Learning, Inc. | Store | Terms of use | Privacy policy 4y + 19 = x3y - x= -13 1. Why do you think the signers of the declaration wanted it to include this very long list of charges against the king of England I WILL GIVE BRAINLYEST what are the 2 parts of the executive? Is this statement always true, sometimes true, or never true: Whole numbers are integers. 1. Always True2. Sometimes True3. Never True 3. A topic sentence should not be too general, and it should not be tooa. shortc. specificb. long Find the difference in lowest term 7/18 - 3/18 Helpppppp I dont understand Hmmmmmmmmmmmmmmm????????? I need help and this is due today.,This isn't as simple as it sounds because I have to do alot with the answer Anybody i hope to givesThis is a gizmos sorta type assignment where I have to put it up to a padlette. If anybody knows what I mean HelppppAlso this is science-And I'll give brainliest to whoever answer-What can we do to maxamize the earths ecosystem What do some scientists today believe causes more adaptations' competition or environmental changes?