Hayley and Maxwell are jogging on a track. Hayley jogs 3/4 mile in 1/6 hour. Maxwell jogs 2/3 mile in 2/15 hour. Who is faster?

Answers

Answer 1

Maxwell runs faster than Hayley

In order to determine who runs faster, the average speed has to be determined

Average speed is total distance travelled divided by total time travelled.

Average speed = Total distance / Total time

Hayley's average speed = [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{6}[/tex]

=  [tex]\frac{3}{4}[/tex] x 6 = [tex]\frac{9}{2} = 4\frac{1}{2}[/tex] miles / hour

Maxwell's average speed = [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{2}{15}[/tex]

[tex]\frac{2}{3}[/tex] x [tex]\frac{15}{2}[/tex] = 5 miles / hour

Maxwell runs faster because he has a higher average speed when compared with Hayley

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Related Questions

Which function has a greater degree?

Answers

Answer:

I think it's either B or C because A and D don't make sense in my opinion.

Step-by-step explanation:

The degree of the p (x) is greater because r (x) is quadratic.

What is Quadratic equation?

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The function p (x) is,

⇒ p (x) = 4x³ - 2x² + 15

And, The function of r (x) is find by table.

Here, By the given table;

The degree of r (x) is 2, because it is quadratic.

And, The degree of p (x) is 3.

Thus, We can conclude that;

The degree of the p (x) is greater because r (x) is quadratic.

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Solve this equation. Enter your answer in the box. 1/3 (y+7)=3(y−1)

Answers

Answer:

y=2

Step-by-step explanation:

y+7=9(y-1)

y+7=9y-9

16=8y

2=y

\Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula?

I = p r t
0.007
0.07
0.7
7

Answers

Answer:

0.07

Step-by-step explanation:its becuase 7% outta 100% =0.07. so  I=Prt

We have to solve for r

r=r/100

7%/100

0.07 per year

Hope this helps mark as brainliest plz

Answer:

0.07

Step-by-step explanation:

give brainlest pls

I can add fractions with unlike denominators. 3/7 + 1/6 =​

Answers

Answer:

[tex]\frac{25}{42}[/tex]

Step-by-step explanation:

Find the LCM of 7 and 6: 42Alter the numerators, so they fit the denominators: 3 × 6 = 18, 1 × 7 = 7Re-write the fractions: 18/42 + 7/42[tex]\frac{18}{42} + \frac{7}{42} = \frac{25}{42}[/tex]  

I hope this helps!

Answer:

25/42

Step-by-step explanation:

first find a same denominator

18/42 + 7/42

then add the new fractions

18/42 + 7/42 = 25/42

Determine the value of y, if x is –9.
y= | x | +1
Answer:

Answers

Since x = -9, you substitue the X for -9.
your equation would then be y = |-9| +1
|x| is absolute vale and makes everything inside positive.
so really it is y = 9+1
y = 10

The value of y for the equation y = |x| + 1 is 10.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

y = |x| + 1          (1)

To find the value of y when x is - 9.

Substitute the value of x in equation (1),

y = |-9| + 1

The mode value of is always positive,

y = 9 + 1

y = 10

The required value of y is 10.

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Please help me out with this!

Answers

X = 7/5 is the answer to your question

Write an equation to find the number.
The difference between three times a number and 5 is 7.

Answers

Answer:

3x-5=7

Step-by-step explanation:

if y=16 when x=4, find y when x=6.

Answers

Answer:

y = 24

Step-by-step explanation:

Its hard to explain

Help please I have a F in this class!!

Answers

i think it might be B

What is the midpoint of (5,5) and (-3,-5)t

Answers

Answer: (1,0)

Step-by-step explanation:

what is the anwser for the math problem below
what is 13÷236
PLEASE ANWSER ASAP.​

Answers

Answer: 0.05508474576

Step-by-step explanation:

10.) What is 99 as a fraction?

Answers

Answer:

Step-by-step explanation:

Select the prime factors of 204.
A. 2 x 17
B. 6 x 17
C. 2 x 3 x 17
D. 2 x 2 x 3 x 17

Answers

I think it’s is either D or C

How do you solve 2(y + 1) – 2 = 4 + 2y - y

Answers

Answer:

y=4

Step-by-step explanation:

2(y+1)-2=4+y

2y+2-2=4+y

2y=4+y

2y-y=4

y=4

Answer:

y=4

Step-by-step explanation:

So first of all you do distrabutive property when you do that you get 2y+2-2=+2y then you combine the like terms than when you do that you should get y=4

I hope this helps!

Find the volume of a rectangular crate with dimensions 3 ft by 4 ft by 8 ft.​

Answers

Answer:

96 feet^3 (feet cubed)

Step-by-step explanation:

Volume is solved with the equation length*width*height, so in this case, 3*4=12 and 12*8=96.

Answer:

192

Step-by-step explanation:

3 times 4 is 24. 24 times 8 is 192

if ribbon candy costs 2.50 per foot. How many feet can you buy if u have 11.25

Answers

You can buy 4 feet and one half of ribbon candy.

Just tell me the coordinates

Answers

(-2, 4)
Hope this helps! If not I, truly sorry
(-2,4) should be the coordinates:)

y= -2x +9 what does x equal ?

Answers

Answe        Step-by-step explanation:

46579765+4879+889 78+6565

−5(−8x − 8) − 4 = 5(5 + 8x) + 11 please show work

Answers

Answer:

all values of x makes the equation true

Step-by-step explanation:

-5(-8x-8)-4 = 5(5+8x)+11

40x + 40 - 4 = 25 + 40x + 11

40x + 36 = 40x + 36

all values of x makes the equation true

40x+40-4=25+40x+11
40x-40x=11+25+4-40
0x=0
X=0
No solution

-3 2/5 - 5/6

how to do it​

Answers

Answer:

- 4 7/30

Step-by-step explanation:

-3 2/5 - 5/6 =- 17/5 - 5/6 =                        ⇒ converting the mixed fraction to standard- 17*6/5*6 - 5*5/6*5 =          ⇒ bringing fractions to common denominator- 102/30 - 25/30 = - (102 + 25)/30 =- 127/30 =                             ⇒ answer as standard fraction- 4 7/30                                ⇒ converting to mixed fraction

Answer:

- 4 ⁷/₃₀

Step-by-step explanation:

= -3 2/5 - 5/6

= - 17/5 - 5/6  ---- LCM of 5 & 6 is 30

= _  17 * 6   _   5 * 5  

       5 * 6        6 * 5

=  _  102 - 25

            30

=  _ 127

        30

=  4 ⁷/₃₀

equation in slope y-intercept form and identify the slop and y-intercept of the line: 2x-5y=15

Answers

Answer:

y=2/5x - 3

slope is 2/5

y intercept is -3

Step-by-step explanation:

I need help finding x and y angle.

Answers

Y: 90 degree, right angle
X: 52 degree, acute angle
Hopefully this is what you were asking!

Jebrel borrowed $7000 from his friend. He saves $110 each month to pay him back.

Answers

Answer:

What is the question? This is just a statement

Step-by-step explanation:

The attendance of your club increased by 30% from last year. There are 195 people in the club now.

Answers

Answer:

last year it was 150

Step-by-step explanation:

last year =100 ; increase= 30

total =130

130=195

100= 195/130=150

9) Carla's credit card statement showed that she owed $350. She
Thade a payment of $200, then she charged $23 for gasoline She
returned a sweater she had charged earlier for a refund of $35
Then she charged $15 at the bookstore. What is her new balance?
35​

Answers

Answer:

the answer is -153

Step-by-step explanation:

350-200(she paid off 200$)=150

150+23(she charged her account 23$)=173

173-35(she paid off 35$)=138

138+15(she charged her account 15$)=135

her new balance is -153$ because that is how much she has left to pay off before she reaches 0 then she can gain credit.

What is an equation of the line that passes through the points (4, 8) and (1, - 1) ? Put your answer in fully reduced form.

Answers

Answer:

y = 3x - 4

I believe this is it's fully reduced form.

Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apilando de manera conveniente todos ellos? Mostrá cómo lo pensaste Si quisieras formar un "cuadrado" con la mayor cantidad de cubos posibles, ¿cuántos deberías poner sobre cada lado? ¿Te quedarían cubos sueltos? ¿Cuántos? Mostrá cómo razonás

Answers

Answer:

(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

Step-by-step explanation:

(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.

El volumen de un cubo está dado por la siguiente fórmula:

[tex]V = L^{3}[/tex]

Donde:

[tex]L[/tex] - Longitud de la arista, medida en dados.

[tex]V[/tex] - Volumen del cubo, medido en dados cúbicos.

Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:

[tex]L = \sqrt[3]{V}[/tex]

Dado que [tex]V = 125\,dados^{3}[/tex], encontramos que la altura del cubo de mayor tamaño sería:

[tex]L =\sqrt[3]{125\,dados^{3}}[/tex]

[tex]L = 5\,dados[/tex]

Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:

[tex]A = L^{2}[/tex]

Donde:

[tex]L[/tex] - Longitud de arista, medida en dados.

[tex]A[/tex] - Área, medida en dados cuadrados.

Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de [tex]L[/tex] tal que no supere 125 y de un área entera. Es decir:

[tex]L \leq 125\,dados[/tex]

Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:

[tex]L^{2}< 125\,dados^{2}[/tex]

Esto nos lleva a decir que:

[tex]L < 11.180\,dados[/tex]

Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:

[tex]n = (11\,dados)^{2}[/tex]

[tex]n = 121\,dados[/tex]

Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

Given P(A)=0.8P(A)=0.8, P(B)=0.62P(B)=0.62 and P(A union B)=0.874P(A∪B)=0.874, find the value of P(A unionB)P(A∩B), rounding to the nearest thousandth, if necessary.

Answers

Use the inclusion/exclusion principle:

P(AB) = P(A) + P(B) - P(AB)

So

P(AB) = 0.8 + 0.62 - 0.874 = 0.546

Find the hcf by using long division method (219,1321,2320,8526)

Answers

Step-by-step explanation:

I have attached the working

A bakery sold apple pies for $12 and blueberry pies for $14 on Saturday sold a total of 41 pies and collected a total of $536 how many apple pies did you sell and how many blueberry pies do they sell

Answers

Answer:

22 blueberry pies and 19 apple pies.

Step-by-step explanation:

This can be solved using a system of equations. Your equation for amount of pies sold is x + y = 41, with x representing apple pies and y representing blueberry pies, and 41 being the total amount of pies sold. The other equation is for the amount of dollars earned from selling the pies, which is:

12x + 14y = 536     $12 per apple pie, $14 per blueberry pie, and a total of $536.

Let's first solve for x. The new equation would be x = 41 - y. Now, we plug this equation into the second equation.

12(41 - y) + 14y = 536    Here we substituted x for the equation we made.

429 - 12y +14y = 536

-12y +14y = 44   Here we moved the 429 to the other side by subtracting it from the left and right.

2y = 44

y = 22. Now we know that there was a total of 22 blueberry pies sold. Now we plug 22 pies back into the very first equation to find x, the amount of apple pies.

x + 22 = 41

x = 19. Now we know there was a total of 19 apple pies sold.

Hope this helps!

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