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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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Answer:

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Step-by-step explanation:

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Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 2 units up and 1 unit right. Which rule repres
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Answer:

The translation statement is given by:

(x,y)\rightarrow (x+1,y+2)

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Step-by-step explanation:

Given :

Vertices of a triangle ABC are:

A(−3, 4), B(4, −2), C(8, 3)

The triangle is translated 2 units up and 1 unit right.

To find the co-ordinates of point A after translation.

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For shift of c units up, the translation is given as:

(x,y)\rightarrow (x,y+c)

For shift of k units right, the translation is given as:

(x,y)\rightarrow (x+k,y)

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(x,y)\rightarrow (x+1,y+2)

So, co-ordinates of point A after translation is given by :

(-3,4)\rightarrow (-3+1,4+2)=(-2,6)

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What is the simplified value of the exponential expression 16 Superscript one-fourth?
pochemuha

<u>Answer: </u>

The value of the exponential expression 16^{\frac{1}{4}} is 2  

<u>Solution:</u>

16 superscript one-fourth= 16^{\frac{1}{4}}

As per the problem,  

We have to find the value of 16^{\frac{1}{4}}  

16 in terms of 2 can be written as 2\times2\times2\times2

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=\left(2^{4}\right)^{\frac{1}{4}}

As per the exponential rule, a^{(m)^{n}}=a^{m \times n}

=2^{4 \times \frac{1}{4}}

Here, 4\times\frac{1}{4}=1

= 2^{1}

= 2

Hence, the value is 2.

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