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Tatiana [17]
2 years ago
15

a car travels at a speed of 80 km/h for 2½ hours from town P to town Q. Then the car increases its speed by 25% and maintains th

at speed for a further 150 km from town Q to town R. Calculate the average speed for the whole journey.
Mathematics
1 answer:
ivann1987 [24]2 years ago
7 0

So this is not too hard, as with any math problem we write what we know.

Starting speed: 80km/h
Time from P to Q: 2.5h
Increase in speed: 20km/h (25% is dividing by 4)
Distance from Q to R: 150 kilometers

So let's find the speed and distance for both legs of the trip.

Speed for P to Q: 80km/h
Distance from PtoQ: 200km (2.5h * 80km/h)
Speed from Q to R: 100km/h (80 +20)
Distance from QtoR: 150km.

Now we multiply the speeds by their respective distances add them and then divide by the total distance.

((80 *200) + (100 * 150))/350 = ~88.57143

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Mark got 54 out of 66 in his maths test how many did he get wrong. Give your answer in its simplest form
alex41 [277]

Answer:

9/11 I think!

Step-by-step explanation:

54/66= 9/11

5 0
2 years ago
Hamish and Harry work as plumbers. Harry earns a dollar more than the amount Hamish earns per hour. The amount Harry earns per h
natulia [17]

Answer:

Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour

Step-by-step explanation:

Let

x is the  amount Harry earns 

y is the amount Hamish earns 

x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1

x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2

equals 1 and 2

(x-1)*4/5 = (x+2)*5/7

(4x-4)/5 = (5x+10)/7

(4x-4)*7 = (5x+10)*5

28x-28 = 25x+50

28x-25x = 50+28

3x = 78

x = 26

substitute x = 26 for y=(x-1)*4/5

y = (x-1)*4/5

y =  (26-1)*4/5

y = 20

the answer is

<h3>Harry earns $26 an hour</h3><h3>Hamish earns  $20 an hour</h3>
7 0
3 years ago
Read 2 more answers
What is the probability of selecting two cards from a deck of cards with replacement?
motikmotik
Certin, because they can be any two cards.
7 0
2 years ago
Use the diagram to answer the question
Ivan

Answer:

148

Step-by-step explanation:

a line (cd) is 180°

cba + and must be 180°

180-33=148

8 0
3 years ago
2.386 rounded to the nearest tenth
svetoff [14.1K]

Answer:

Los números decimales son una combinación de números enteros y números que se encuentran entre los números enteros. A veces es importante poder comparar decimales para saber cuál es mayor. Por ejemplo, si alguien corrió los 100 metros planos en 10.57 segundos, y alguien más los corrió en 10.67 segundos, puedes comparar los decimales para determinar qué tiempo es más rápido. Saber cómo comparar decimales requiere el entendimiento del valor de posición decimal, y es similar a comprar números enteros.

 

Cuando trabajamos con decimales, hay veces que no se necesita un número preciso. En tal caso, es útil redondear números decimales. Por ejemplo, si la bomba de una gasolinera muestra que llenaste el tanque del carro de un amigo con 16.478 galones de gasolina, podrías querer redondear el número y decirle a tu amigo que le pusiste 16.5 galones.

Step-by-step explanation:

Otra forma de comparar decimales es comparar los dígitos en cada número, empezando con el lugar de posición mayor, que es el de la izquierda. Cuando un dígito en un número decimal es mayor que el dígito correspondiente en el otro número, entonces ése número decimal es mayor.

 

Por ejemplo, primero compara los dígitos de las décimas. Si son iguales, continúa con el lugar de las centésimas. Si esos dígitos no son iguales, el decimal con el dígito mayor es el número decimal mayor. Observa cómo se hace esto en los ejemplos siguientes.

6 0
2 years ago
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