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artcher [175]
3 years ago
11

Melanie can run around the track 9 times in 28 minutes. At this rate, how many laps can she run in 1 hour and 15 minutes?

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Step-by-step explanation:

First step is to identify what the problem is asking for and what is given.

9 laps in 28 minutes

Searching for number of laps in 1 hour and 15 min.

1 hour + 15 min. = 75 minutes convert to minutes

9 laps / 28 minutes = x laps / 75 minutes create an equation

9/28 = x/75

9*75 = 28x cross multiply

675 = 28x

x = 675/28 = 24.12 simplify

Melanie can run 24 complete laps in 1 hour and 15 minutes.

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The slope represents the the number of hours after the sunrise, and the y intercept represents the temperature
The linear function would y=4x+4
6.) y=4+ 10/5x
7.) y= -5 -3x
6 0
3 years ago
Madeline works as a part time job at Parkland Hospital for $20 per hour. She worked for 10 hours last week and must pay 10% in t
ioda

Answer:

20


Step-by-step explanation:

20 x 10 = 200

10% = 0.10

200 x 0.10 = 20

7 0
3 years ago
Read 2 more answers
UNA POBLACION DE CIERTA CIUDAD EN EL AÑO 2000 ERA DE 250,000 HABITANTES CON UNA TASA DE CRECIMIENTO RELATIVO DEL 2% , DETERMINA
Fofino [41]

Answer:

La población que se espera para el 2012, es 317,060

Step-by-step explanation:

Si la población tiene un crecimiento relativo del 2%, entonces cada año, la población es un 2% más grande que el año anterior.

Definamos P(t) = población después de t años

Entonces, si al año t = 0 (que corresponde con el año 2000) la población es A

P(0) = A

Un año después, en t = 1, la población incrementa en un 2%

P(1) = A + (2%/100%)*A = A + (0.02)*A = A*(1.02)

Otro año después, en t = 2, la población incrementa un 2% de vuelta.

P(2) = A*(1.02) + (2%/100%)*A(1.02) = A*(1.02) + 0.02*A*(1.02)

      = A*(1.02)*(1.02) = A*(1.02)^2

Ya podemos notar un patrón, la población en el año t va a ser:

P(t) = A*(1.02)^t

Sabemos que en t = 0 (el año 2000) la población es 250,000

Entonces A = 250,000

P(t) = 250,000*(1.02)^t

Ahora queremos calcular la población en el año 2012

entonces si t = 0 es el 2000

2012 esta representado con t = 12

Reemplazando eso en la ecuación, obtenemos:

P(12) = 250,000*(1.02)^12 = 317,060.4

Como esto es una población tenemos que redondearlo al próximo número entero, como el primer digito después del punto es 4, redondeamos para abajo.

Entonces la población que se espera para el 2012 es: 317,060

5 0
2 years ago
Carmen works at a pet store. To feed 8 cats, she empties four 6-once cans of cat food into a large bowl. Carmen divides the food
Ipatiy [6.2K]
4 x 6 ounces = 24 ounces (total)
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Ans : 3 ounces
5 0
3 years ago
How can 3/7 divided by 2/4 be written in simplest form?
vova2212 [387]
Presenting your problem symbolically:

3
--
7
                                  
====     becomes 
 2
---
 4


 3
---
 7

====

  1
  ---
    2

To divide by 1/2, multiply by 2/1:

3    2
-- * ---
7     1

Multiplying, we get 6/7.
5 0
3 years ago
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