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olganol [36]
2 years ago
15

Rhonda drove 51 miles per hour for 5 hours. She then drove 55 miles per hour for x hours. Which expression is equivalent to the

total distance Rhonda drove?
Mathematics
1 answer:
lawyer [7]2 years ago
7 0

The expression equivalent to the total distance Rhonda drove is 51x = 275

Given:

Distance 1:

Number of miles = 51 miles

Number of hours = 5 hours

Distance 2:

Number of miles = 55 miles

Number of hours = x hours

<em>Ratio of miles to number of hours</em> = 51 miles : 5 hours

<em>Ratio of miles to number of hours</em> = 55 miles : x hours

Equate the ratios

51 : 5 = 55 : x

51/5 = 55/x

cross product

51 × x = 5 × 55

51x = 275

x = 275 / 51

x = 5.392156862745098

Approximately,

x = 5.4 hours

Therefore, the number of hours taken to travel 55 miles is 5.4 hours

Read more:

brainly.com/question/3796978

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melomori [17]

Answer:

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5 0
3 years ago
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
CORRECT GETS BRAINLIEST
Dmitrij [34]
C. 2/3 is the correct answer. I worked this question out and that is what I got! I hope you have a nice day! (mark as brainliest!)
6 0
2 years ago
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