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MakcuM [25]
3 years ago
7

The shortest route from London to Liverpool is 210 miles. A lorry is expected to take 3.5 hours to travel this route. The lorry

actually travels by a different route which increases the distance by 20%, but it still arrives in 3.5 hours. By how many more mph than the expected speed does the lorry travel?
Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

72 mph

Step-by-step explanation:

<em>Please give brainliest</em>

You have distance =210 miles

Increase it by 20%

210+(210*0.2) = 252 miles I wrote 0.2 instead of writing 20%/100% hope you understand.

The new route is 252 miles

Time travelled = 3.5 hours

Speed=distance/time

Speed = 252/3.5 = 72 mph

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Answer:

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8 0
3 years ago
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What is the least​ four-digit number in the first 15 rows of​ pascal's triangle?
Allushta [10]

Please find the attached file for a better understanding of the explanation given here.

the attached diagram is a generated image of the first fifteen rows of a pascal's triangle. As can be seen from the image, the least​ four-digit number in the first fifteen rows of​ pascal's triangle is 1001.

In the diagram attached that number is present in the very last row and is highlighted using a yellow rectangle.

4 0
3 years ago
Idk this is supper hard
vlabodo [156]

Answer:

The equation of the line is:  y = x + 4

Step-by-step explanation:

When we are given two points passing through a line, we can find the equation of the line by using two - point form.

Two - point form:    $ \frac{\textbf{y - y}_\textbf{1}}{\textbf{y}_{\textbf{2}} \textbf{-} \textbf{y}_{\textbf{1}}} = \frac{{\textbf{x - x}_\textbf{1}}}{\textbf{x}_{\textbf{2}} \textbf{-} \textbf{x}_{\textbf{1}}    }$

where $ (x_1, y_1) \hspace{3mm} \& \hspace{3mm} (x_2, y_2) $ are the points passing through the line.

Here, let us take two points (can be any two):

$(x _1, y_1) = (1, 5) $ and

$ (x_2, y_2) = (5, 9) $

Therefore, we have:

$ \frac{y - 5}{9 - 5} = \frac{x - 1}{5 - 1} $

$ \iff \frac{y - 5}{4} = \frac{x - 1}{4} $

$ \iff y - 5 = x - 1 $

$ \implies y = x - 1 + 5 $

$ \implies y = \textbf{x + 4} $ which is the required answer.

4 0
3 years ago
Which digit would make this number divisible by 6? 7 ___68 *<br><br> A. 3<br> B. 4<br> C. 5<br> D. 8
Basile [38]

Answer:

3

Step-by-step explanation:

6 * 1228 = 7368

3 0
3 years ago
Show your work<br> 16 = k/11
uranmaximum [27]
16 = k/11

You’re going to need to get K by itself

So you need to multiply 11 on both sides

to remove the denominator of 11



16 x 11 = 176

k/11 x 11 = k

So now the answer would be

176 = k


Hope this helped :)
5 0
3 years ago
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