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anyanavicka [17]
4 years ago
15

The table below shows the ticket rates for whale watching trips offered by Orca Magic Tours: Age Ticket Price Under 3 years free

3 to 12 years $32 Over 12 years $44 On a certain day, the company took 82 people on whale watching trips. There were 54 children aged 12 and under, of which some children were under 3 years. If x represents the number of children under 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? (54 + x)32 + (82 −
A: (54 + x)) ⋅ 44 = C

B: (54 − x)32 + (82 − 54) ⋅ 44 = C

C: (82 + x)32 + (82 − (54 + x)) ⋅ 44 = C

D: (82 − x)32 + (82 − 54) ⋅ 44 = C

@Taskmasters @Kamariasutton @Zainabdalrazzaq ShootingStar28
Mathematics
1 answer:
Gnom [1K]4 years ago
4 0
Their are 82 people. 54 are 12 and under. The rest are adults ($44 dollars each)

Cost of all people = (12 and under's cost) + (adults cost)

Adults cost = (82 - 54) * 44

Cost of children 3 - 12 = (54 - # of children under 3 or x) * 32


Cost = (54 - x) * 32 + (82 - 54) * 44

The answer is C.

Hope this helps
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<h2>Answer:</h2>

\boxed{A'(-5,10)}

<h2>Step-by-step explanation:</h2>

Dilation is when you stretch something by the same amount in two perpendicular directions. In other words, dilation changes size, not overall shape. Dilation factors greater than one makes the shape greater while dilation factors less than one makes the shape smaller. The scale factor in this problem is:

2\frac{1}{2}

Which is a mixed fraction. This can be transformed into an improper fraction as follows:

2\frac{1}{2}=2+\frac{1}{2}=\frac{4+1}{2}=\frac{5}{2}

So the scale factor is \frac{5}{2}. Since the center of dilation is the origin, we just need to multiply each vertex of the quadrilateral by the scale factor. Thus, for A we have:

A'(-2\times \frac{5}{2},4\times \frac{5}{2})=\boxed{A'(-5,10)}

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FIXED! HELP!Maria bought 1 2/5 pounds of lunch meat for $3.36. How much would 2 3/4 pounds of lunch meat cost? Enter your answer
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We are going to want to change any mixed number into an improper fraction. 2 3/4 is 11/4 and 1 2/5 is 7/5.
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(7/5)/3.36 = (11/4)/x
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Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the
mestny [16]

Answer:

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9

Step-by-step explanation:

Given

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Required

Determine the equivalent expression

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Simplify the first fraction

\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

Apply law of indices on the first fraction;

5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}

5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}

\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}

Apply law of indices:

5q^5w^4*4\left(q^6\right)^2 * w^{5}

Evaluate the bracket

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20q^{17}w^9

Hence:

\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9

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