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2 years ago

Which is longer, 5 miles or 10 kilometers?

2 answers:

8 0

10 kilometers = 393701 inches
5 miles = 316800 inches

393701 - 316800 = 76901

10 kilometers is longer by 76901 inches.

Zinaida [17]2 years ago

4 0

10 kilometers is equal to a little over 6 miles. And 6 > 5, therefore 10 kilometers is your answer.

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et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe

Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation $f(x)=x+\lvert 2x-3 \rvert=12$ can be solved as follows:

$x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}$

$\lvert 2x-3 \rvert =12-x$

$2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)$

$3x=15\,\,\text{or}\,\,\x=-9$

Then, the solutions of the equation are $x=5, x=-9$ .

Now, if $g(x)=5x-3+\lvert x+4\rvert$ , we can solve the equation $g(a)=4a+9$ as follows:

$5a-3+\lvert a+4 \rvert =4a+9$

$\lvert a+4\rvert =4a+9-5a+3$

$a+4 =-a+12\,\,\text{or}\,\,a+4=-(-a+12)$

$2a=8\,\,\text{or}\,\,4=12$

So, the unique solution of this last equation is $a=4$

The last equation is $h(x-1)=x-3$ , where $h(x)=\lvert x \rvert -2x+5.$ . To solve this equation we can proceed as follows:

$h(x-1)=x-3$

$\lvert x-1\rvert -2(x-1)+5=x-3$

$\lvert x-1 \rvert -2x+2+5=x-3$

$\lvert x-1\rvert =3x-10$

$x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)$

$-2x=-9\,\,\text{or}\,\,4x=11$

$x=9/2\,\,\text{or}\,\,x=11/4$

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

8 0

2 years ago

'The length of a rectangle is 6 feet more than three

olga_2 [115]

Answer:

length : 15 ft

width : 3 ft

Step-by-step explanation:

perimeter = 2×l(ength) + 2×w(idth) = 36

l = 3w + 6

=> 2×(3w+6) + 2w = 36

6w + 12 + 2w = 36

8w = 24

w = 3

=> l = 3w + 6 = 3×3 + 6 = 9+6=15

3 0

2 years ago

Question 1

zhannawk [14.2K]

The applications that will involve percentages include:

Sales Tax
Original Sale Price
Commission
Income Tax

<h3>Which applications involve percentages?</h3>

Sales tax will involve percentage because the sales tax percentage will be needed to calculate the sales tax. The same goes for the income tax.

Commissions also involve percentages as the commission is a percentage of sales. The original sales price can only be acquired by using the discount or markup percentage applied to it to get the current sales price.

Find out examples of commission percentages at brainly.com/question/24951536.

6 0

1 year ago

The Super Bowl half time show lasts 30 minutes. If the half time show is 1/7 of the total game time, how many hours is the Super

gtnhenbr [62]

Answer:

3 1/2 hours.

Step-by-step explanation:

If the Half Time show is one-seventh of the show and lasts for 30 minutes, we can multiply that by 7 to get the total amount of minutes.

30 x 7 = 210

To convert the number of minutes to hours, 210 can be divided by 60 to result in a total of 3.5, therefore, the Super Bowl lasts for 3 1/2 hours.

5 0

2 years ago

I GIVEEEEE BRAIMLILSTER

timofeeve [1]

Answer:

$\boxed{\boxed{\pink{\bf \leadsto It \ will \ take \ 5 hours \ to \ travel \ 300 \ miles. }}}$

<h3>Step-by-step explanation:</h3>

According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .

$\bf\implies If \ it \ covers \ 120 \ miles \ in \ 2 \ hours \\\\\bf\implies Then \ one \ mile \ will \ be \ covered \ in \ \dfrac{120}{2} hrs \\\\\bf\implies Hence \ 300 \ miles \ will \ be \ covered \ in \ \dfrac{2}{120}\times 300 hrs = \red{5 \ hours }$

<h3>Hence it will cover 300 miles in 5 hours .</h3>

Here it was a case of direct proportion in which if two things are directly proportional to each other. If one thing thing increases then the value of second also increases. Here if the time increases then the distance also increases

5 0

2 years ago