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trasher [3.6K]
3 years ago
14

Jane and sali cycled along the same 63 km route.

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

<em>Sali's speed was 18.75 km/h.</em>

Step-by-step explanation:

Jane took 3.5 hours to cycle the 63 km.

As,  Speed= \frac{Distance}{Time} , so the speed of Jane will be:  \frac{63}{3.5} km/h = 18 km/h

Suppose, the speed of Sali is  x km/h

Sali caught up with Jane when they had both cycled 30 km.

So, <u>the time required for Jane to cycle 30 km</u> = \frac{30}{18}=\frac{5}{3} hours and <u>the time required for Sali to cycle 30 km</u>  =\frac{30}{x} hours

Given that, Sali started to cycle 4 minutes or (\frac{4}{60}) or (\frac{1}{15}) hours after Jane started to cycle. So, the equation will be.......

\frac{5}{3}-\frac{30}{x}= \frac{1}{15}\\ \\ \frac{30}{x}= \frac{5}{3}-\frac{1}{15}\\ \\ \frac{30}{x}= \frac{24}{15}\\ \\ 24x=450\\ \\ x= \frac{450}{24}= 18.75

Thus, the speed of Sali was 18.75 km/h.

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Between which pair of numbers is the exact product of 379 and 8.
artcher [175]

So many answers possible.

Let us take, by numbers they mean integers.

Now, the product of 379 and 8 is 3032.

Clearly, on the number line, this number is between the numbers 3031 and 3033.

Hence, the exact product of 379 and 8 is between the pair of numbers 3031 and 3033.

Hope this makes sense.

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What expression is equivalent to 23x?
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Answer:

multiply 5 times 3 that is equal to 15.

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4. Elena va a una fiesta pero no sabe que ponerse, así que lanza un moneda y un dado al
taurus [48]

Answer:

  • <u>1/4</u>

Explanation:

Hola. Puesto que tu pregunta está en español, te responderé en el mismo lenguage.

Estas son las posibilidades dadas por la combinación moneda/dado

                                      Número de combinaciones

Moneda: prenda

    Cara: vestido                 1 de 2:          1/2

     Sello: falda                    1 de 2:          1/2

Dado: color

    Par: negro                      3 de 6:          3/6

    Impar: café                     3 de 6:         3/6

En total son 2 × 6 resultados: 12 (incluye resultados repetidos, no son todos diferentes entre sí)

¿Cuántas combinaciones tienen vestido y color negro?

  • P(Vestido∩negro) = ?

Es decir: moneda = cara y dado = par

  • Son 1 × 3 = 3.

Por tanto, la probabilidad de vestido negro es:

  • 3 de 12 = 3/12 = 1/4 ← respuesta

Hay otras formas de resolverlo. Por ejemplo;

Como los resultados de lanzar la moneda y el dado son independientes:

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  • P(Vestido) = 1/2
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3 years ago
3a=1<br> What is a equal to?
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Answer:

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3a = 1

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a = 1/3

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The missing figure is attached.

For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.

Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.

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Now you must solve for "x" in order to find its value. This is:

x=180\°-28\°\\\\x=152\°

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m\angle A=(x-36)\°

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 m\angle A=152\°-36\°\\\\m\angle A=116\°

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