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3 years ago

Twice the difference of a number and 6 is equal to three times the sum of the number and 9. Find the number

Mathematics

1 answer:

stealth61 [152]3 years ago

7 0

Answer:

the number is -39

Step-by-step explanation:

2(n-6)=3(n+9)

2n-12=3n+27

-2n -2n

-12=n+27

-27 -27

-39=n

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1.5[3(14.5+7)-3]-7.4

nalin [4]

Answer:

84.85

Step-by-step explanation:

1.5[3(14.5+7)-3]-7.4

1.5[3*21.5-3]-7.4

1.5*61.5-7.4

=84.85

7 0

3 years ago

Musa ships cars into Ghana, Nigeria and Benij republic from the United States of America. The import duty costs are 10%, 25% and

babunello [35]

The Benz C300 markup should be $15525. The markup price for the new Toyota Highland should be $43470

Step-by-step explanation:

For the used Benz C300

Initial price $12,000

Apply import duty for Nigeria which is 25%, which is similar to increasing the price by 25%

100% +25%=125%

12000*125/100 = $15000

Apply the 15% profit

100%+15%=115%

15000*115/100 =$17250

Apply the 10% discount, reducing the price by 10%

100%-10%=90%

17250*90/100 =$15525

The Benz C300 markup should be $15525

For the Toyota Highlander

Initial price = $30,000

Apply import duty for Nigeria for new cars, which is 40%, which is similar to increasing the car price by 40%

100%+40%=140%

30,000*140/100 =$42000

Apply the 15% profit

15%+100%=115%

115/100*42000 =$48300

Apply the 10% discount

100%-10%=90%

48300*90/100=$43470

The markup price for the new Toyota Highland should be $43470

Learn More

Percentage increase and decrease :brainly.com/question/11537235

Keywords : cars, import duty, cost, minimum profit, discount, reseller

#LearnwithBrainly

6 0

2 years ago

What is the solution to the compound inequality in interval notation?

ohaa [14]

The given compound inequality is

$2(x+3)>6 \ or \ 2x+3\leq -7$

First we solve the first inequality,

$2(x+3)>6
\\
x+3 >3
\\
x>0$

Now we solve the second inequality

$2x+3\leq -7
\\
2x \leq -7-3
\\
2x\leq -10
\\
x\leq -5$

So we have

$x > 0 \ or \ x\leq -5$

So the required solution is

$( - \infty,-5] \ or \ (0, \infty)$

Correct option is A .

4 0

2 years ago

Integrate the following:<br><img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Cint%20%5C%3A%20%20%5Ctan%28x%29%20%20%20%5

Korvikt [17]

Answer:

$\huge \boxed{\red{ \boxed{ - \cos(x) + C}}}$

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

integration
PEMDAS

<h3>tips and formulas:</h3>

$\tan( \theta) = \dfrac{ \sin( \theta) }{ \cos( \theta) }$
$\sf \displaystyle \int \sin(x) \: dx = - \cos(x) + C$

<h3>let's solve:</h3>

$\sf \: rewrite \: \tan( \theta) \: as \: \dfrac{ \sin( \theta) }{ \cos( \theta) } : \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cos(x) } \cos(x) \: dx \\ = \displaystyle \int \: \frac{ \sin(x) }{ \cancel{\cos(x) }} \: \cancel{ \cos(x)} \: dx \\ = \displaystyle \int \: \sin(x) \: dx$
$\sf \: use \: the \: formula : \\ \sf \displaystyle - \cos(x)$
$\sf add \: constant : \\ - \cos(x) + C$

$\text{And we are done!}$

6 0

2 years ago

Read 2 more answers

Bryce intended to swim directly across a stream that is 99 meters wide. But the current caused him to arrive at the opposite sho

Misha Larkins [42]

Answer:

101 meters

Step-by-step explanation:

The direct path across the stream and perpendicular to both sides of the stream is one leg of a right triangle. The 20 meter distance on the arriving side of the stream is another leg of the right triangle. The path he actually took is the hypotenuse of the right triangle.

leg 1 = 99 m

leg 2 = 20 m

hypotenuse = ?

We have a right triangle, and we know the lengths of the two legs. We need to find the length of the hypotenuse, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2

99^2 + 20^2 = c^2

9801 + 400 = c^2

c^2 = 10201

c = sqrt(10201) = 101

Answer: 101 meters

6 0

3 years ago