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ad-work [718]
3 years ago
14

What's 2\5 =12/n solving proportions

Mathematics
1 answer:
gogolik [260]3 years ago
8 0
<span>Cross multiply: 2 * n = 5 * 12
 
Simplifying 2 * n = 5 * 12
 
Multiply 5 * 12 2n = 60
 
Solving 2n = 60
 
Solving for variable 'n'.
 
Move all terms containing n to the left, all other terms to the right.
 
Divide each side by '2'. n = 30
 
Simplifying n = 30</span>
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What is the difference between -5 and 3?
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Answer:

8

Step-by-step explanation:

3 - -5 = 8

filling space here dont mind this

4 0
2 years ago
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A rope with a length of 24 yards is cut into 7 pieces of equal length. Which is the correct way to show how to find how many yar
DerKrebs [107]

Answer:

3 1/3

Step-by-step explanation:

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3 years ago
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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for x days.

So, for x days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = \frac{360}{x}

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = (x+4) days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= (\frac{360}{x}-3)

Total expense in dollars can now be given as:  (x+4)(\frac{360}{x}-3)

Simplifying by using distribution (FOIL).

(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))

360-3x+\frac{1440}{x}-12

348-3x+\frac{1440}{x}

We know total expense remains the same which is = $360.

So, we have the equation as:

348-3x+\frac{1440}{x}=360

Multiplying each term with x to remove fractions.

348x-3x^2+1440=360x

Subtracting 348x both sides

348x-348x-3x^2+1440=360x-348x

-3x^2+1440=12x

Dividing each term with -3.

\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}

x^2-480=-4x

Adding 4x both sides.

x^2+4x-480=-4x+4x

x^2+4x-480=0

Solving using quadratic formula.

For a quadratic equation: ax^2+bx+c=0

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plugging in values from the equation we got.

x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}

x=\frac{-4\pm\sqrt{16+1920}}{2}

x=\frac{-4\pm\sqrt{1936}}{2}

x=\frac{-4\pm44}{2}

So, we have

x=\frac{-4+44}{2}   and x=\frac{-4-44}{2}

x=\frac{40}{2}   and x=\frac{-48}{2}

∴ x=20           and x=-24

Since number of days cannot be negative, so we take x=20 as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0
3 years ago
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Step2247 [10]

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

8 0
2 years ago
Help me please ASAP
11111nata11111 [884]

Answer:

i think it is b(-22)

Step-by-step explanation:

i hope this helps

4 0
3 years ago
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