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Rudik [331]
3 years ago
13

A boat traveled at an average speed of 27 miles per hour for 2 hours after first leaving the dock and then traveled at an averag

e speed of 65 miles per hour for 4.5 hours. What is the total distance in miles the boat traveled?
A. 98.5 miles
B. 54 miles
C. 346.5 miles
D. 292.5 miles​
Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer:

C

Step-by-step explanation:

27 miles for 2 hours so u add 27 + 27 = 54 than it says 65 miles per hour and travels for 4.5 hours so do 65 x 4.5 = 292.5 than add 54+292.6 and you will get the final answer wich is 346.5

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If 5(3x-1)=55 what is the value of 2x-2
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Hey ! there

Answer:

  • Value of 2x - 2 is <u>6</u><u> </u><u>.</u>

Step-by-step explanation:

In this question we are provided with an equation that is <u>5</u><u> </u><u>(</u><u> </u><u>3x</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>)</u><u> </u><u>=</u><u> </u><u>5</u><u>5</u><u> </u>and we are asked to find the value of <u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>.</u>

Firstly , we need to find the value of x . So we need to solve the equation .

<u>SOLUTION</u><u> </u><u>:</u><u> </u><u>-</u>

\quad \longmapsto \qquad \: 5(3x - 1) = 55

<u>Step </u><u>1</u><u> </u><u>:</u> Dividing with 5 on both sides :

\quad \longmapsto \qquad \: \dfrac{ \cancel{5}(3x - 1)}{ \cancel{5}}  = \cancel{\dfrac{55}{5} }

On cancelling , We get :

\quad \longmapsto \qquad \:3x - 1 = 11

<u>Step </u><u>2</u><u> </u><u>:</u> Adding 1 on both sides :

\quad \longmapsto \qquad \:3x -  \cancel{1} +  \cancel{1} = 11 + 1

On simplifying , We get :

\quad \longmapsto \qquad \:3x = 12

<u>Step </u><u>3 </u><u>:</u> Dividing with 3 on both sides :

\quad \longmapsto \qquad \: \dfrac{ \cancel{3}x}{ \cancel{3}}  =  \cancel{ \dfrac{12}{3} }

We get ,

\quad \longmapsto \qquad \:    \underline{\boxed{\frak{x = 4}}}

→ Therefore , value of x is <u>4</u><u> </u><u>.</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying whether our answer is wrong or right . So ,

  • 5 ( 3x - 1 ) = 55

  • 5 { 3( 4 ) - 1 } = 55

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  • 5 ( 11 ) = 55

  • L.H.S = R.H.S

  • Hence , Verified .

Therefore , our value of x is <u>correct</u><u>/</u><u>valid </u><u>.</u>

<u>We </u><u>need </u><u>to </u><u>find </u><u>the </u><u>value </u><u>of </u><u>2</u><u>x</u><u> </u><u>-</u><u> </u><u>2</u><u> </u><u>.</u><u> </u>

<u>\quad \longmapsto \qquad \:2x - 2</u>

So substituting value of x in it :

<u>\quad \longmapsto \qquad \:2( \bold{4}) - 2</u>

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<u>\quad \longmapsto \qquad \:8 - 2</u>

Subtracting 2 from 8 :

\quad \longmapsto \qquad \:    \blue{\underline{\boxed{\frak{6}}}}  \quad \: \bigstar

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<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
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