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guapka [62]
3 years ago
8

The table below shows the ticket rates for whale watching trips offered by Ocean Tours. AgeTicket Price. Under three yearsfree.

Three to twelve years$36. Over twelve years$48. On a certain day, the company took 92 people on whale watching trips. There were 40 children aged twelve and under, of which some children were under three years. If x represents the number of children undr three years, which equation can be used to find the value of x, where C represents the total amount of money collected from tickets that day?. @magbak
Mathematics
1 answer:
Kisachek [45]3 years ago
8 0
If there are 40 children aged twelve and under and x of them are under three years old, 40 - x aged three twelve years old. From the 92 people that where taken by the company on whale watching trips, 52 are over twelve years old. The equation that best show the total cost, C is
                                (40 - x)(36) + (52)(48) = C
Rearranging the equation gives,
                                       x = 40 - ((C - 2496)/ 36)
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A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine
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Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

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mechanical advantage [M.A ]

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3 years ago
leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a
Georgia [21]
The answer is x =  \frac{-7+ \sqrt{193} }{4}.

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is A = \frac{a*h}{2}, where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula A =  \frac{a*h}{2}:
36 =  \frac{(2x+3)(3x+6)}{2}
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72=6 x^{2} +21x+18

Let's both sides divide by 3:
24=2 x^{2} +7x+6
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This is the quadratic formula (a x^{2} +bx+c=0) for which
x =  \frac{-b+\sqrt{b^{2} -4ac} }{2a} or
<span>x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}.
</span>We will use only <span>x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}, because the length cannot have negative value.</span>


<span>From the equation 2 x^{2} +7x-18=0, we know that
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Thus, <span> x = \frac{-7+ \sqrt{193} }{4}:
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Eduardwww [97]

Answer:

0

Step-by-step explanation:

Slope = rise/run = 0/9 = 0

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