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2 years ago

Another one Question b+11=4 b=?

Mathematics

2 answers:

frosja888 [35]2 years ago

7 0

Answer:

b = -7

Step-by-step explanation:

Solve for b:

b + 11 = 4

Subtract 11 from both sides:

b + (11 - 11) = 4 - 11

11 - 11 = 0:

b = 4 - 11

4 - 11 = -7:

Answer: b = -7

steposvetlana [31]2 years ago

5 0

Answer:

b = -7 please mark brainliest :))))

Step-by-step explanation:

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3 years ago

Christy went on a round-trip bicycle ride starting at her house. When she left, she traveled downhill at a rate of 24 kilometers

vazorg [7]

Since this is a round-trip, Christy covered the same distance in both journey.

Let the distance covered be
$d$

When she left the house, she travelled at
$24 \: kph$

We were given the average speed to be
$20 \: kph$

Meaning if we add the speed in the return journey to 24 kph and find the average , we must obtain 20 kph.

Let
$x$
be the speed in the return trip.

Then
$\frac{24 + x}{2} = 20$

We solve for x to obtain;

$24 + x = 40$

$x = 40 - 24 = 16 \: kph$

We were also told that she took half an hour longer in the return trip.

If we let
$t$
represent the time the first journey took, then the return trip will take

$(t + 0.5) \: hours$

Now we have the following:

$First Journey$

$speed = \frac{d}{t}$

$24 = \frac{d}{t}$

$\Rightarrow d = 24t - - - (1)$

$Second Journey$

$16 = \frac{d}{t + 0.5}$

$\Rightarrow d = 16(t + 0.5) - - - (2)$

Now let us equate the two equations to obtain,

$16(t + 0.5)= 24t$

We expand and simplify to obtain;

$16t + 8= 24t$

This implies that,

$8= 24t - 16t$

.
$8= 8t$

$t = 1$

Hence the return trip took,

$t + 0.5 = 1 + 0.5 = 1.5$

hours.

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3 years ago