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vekshin1
3 years ago
14

15 more than half a number is nine

Mathematics
2 answers:
Katena32 [7]3 years ago
6 0
(1/2)x+15 = 9
(1/2)x= -6
x = -12
Juliette [100K]3 years ago
3 0
15+1/2n=9
1/2n=9-15 (subtract 15 from both sides)
1/2n=-6
n=-6/(1/2) (divide both sides by 1/2)
n=-12 (answer)
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Step-by-step explanation:

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2 years ago
Which situation can be modeled by the inequality 48−10x≥8?
kenny6666 [7]

Answer:

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4 0
3 years ago
Read 2 more answers
Rosalie is organizing a circus performance to raise money for a charity. She is trying to decide how much to charge for tickets.
Ray Of Light [21]

Answer:

she should charge $7.395 per ticket in order to make the most money.

Step-by-step explanation:

From the given information:

If Rosalie charges $5   then 1175 people will attend the circus performance

If Rosalie charges $7   then 935 people will attend the circus performance

Let x be the cost and y to be the number of people that will attend the performance . Then, we will have two points which are;

(5, 1175) and (7, 935)

The slope(m) of this points = \dfrac{\Delta y}{\Delta x}

= \dfrac{y_2-y_1}{x_2-x_1}

=\dfrac{935-1175}{7-5}

Slope (m) = \dfrac{-240}{2}

Slope (m) = -120

However; we can now have the linear equation:

y-y_1 = m(x-x_1)

y-1175= -120(x-5)

y-1175= -120x+600

y= -120x+600+1175

y= -120x+1775

The linear function is : y = -120x + 1775

Now; the total amount of money she can now earn is:

f(x) = xy

f(x) = x(-120x + 1775)

f(x) = -120x² + 1775x

The above expression is a quadratic equation; Using the quadratic formula; we have:

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

where; a = -120 ; b = +1775 and c = 0

=\dfrac{-(1775) \pm \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}

=\dfrac{-(1775) +  \sqrt{(1775)^2-4(-120)(0)}}{2(-120)}  \ \ \ \ \ OR  \ \ \ \  \dfrac{-(1775) -\sqrt{(1775)^2-4(-120)(0)}}{2(-120)}

=\dfrac{-(1775) +  \sqrt{(1775)^2}}{(-240)}  \ \ \ \ \ OR  \ \ \ \  \dfrac{-(1775) -\sqrt{(1775)^2}}{(-240)}

=\dfrac{-(1775) +  (1775)}{(-240)}  \ \ \ \ \ OR  \ \ \ \  \dfrac{-(1775) - (1775)}{(-240)}

=\dfrac{0}{(-240)}  \ \ \ \ \ OR  \ \ \ \  \dfrac{-3550}{(-240)}

=     0        OR         14.79

Since; we are considering the value greater than zero

x = 14.79

maximum value of x = 14.79/2 = 7.395

Thus ; she should charge $7.395 per ticket in order to make the most money.

6 0
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weqwewe [10]
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4 years ago
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beks73 [17]

Answer:

a = 156

Step-by-step explanation:

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24 +a = 180

Subtract 24 from each side

24+a-24 = 180-24

a = 156

7 0
3 years ago
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