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Artyom0805 [142]
3 years ago
10

A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?

Mathematics
1 answer:
olchik [2.2K]3 years ago
7 0

Answer:

1/4h

Step-by-step explanation:

If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.

Hence, the time for the bus trip

= (1/2 + x)h

since the bus trip is 3/4h, it means that

1/2 + x = 3/4

collecting like terms,

x = 3/4 - 1/2

= 3/4 - 2/4

= 1/4

Hence the car trip is 1/4h.

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If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.
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The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ S_n = \frac{a(r^n-1)}{r-1}

So ,Sum of first 12 terms is :

⇒ S_1_2 = \frac{a(2^{12}-1)}{2-1}

⇒ 8190=a(2^{12}-1)

⇒ \frac{8190}{4095}=a

⇒ a=2

Now , nth term of a GP is

⇒ a_n = ar^{n-1}

So , 20th term is :

⇒ a_2_0 = 2(2)^{20-1}

⇒ a_2_0 = (2)^{20}

⇒ a_2_0 = 1048576

Therefore , the first term is 2 and the 20th term is 1048576 .

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I have the area of a circle but how do i find it’s radius
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Answer:

The radius of the circle is half its diameter. It's the length from the center point straight out to the edge.

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3 years ago
a recipe cause for 4 cups of flour and 1 1/4 cups of milk how much milk do you use for 2 cups of flour
nignag [31]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given

Point = (-3,-2)

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Required

Determine the image

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3 years ago
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