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Montano1993 [528]

3 years ago

12

During the summer months, science center tickets are 3 for $36.75 and zoo tickets are 4 for $51. How much will a group of 12 stu

dents save by choosing the science center? Enter your answer in the box.

2 answers:

Tatiana [17]3 years ago

5 0

Answer:

$6

Step-by-step explanation:

Step 1:

36.75 × 4 = 147

Step 2:

51 × 3 = 153

Step 3:

153 - 147 = 6

The group of 12 students will save $6 by choosing the Science Center.

Fittoniya [83]3 years ago

3 0

Since the science center costs 36.75 for 3 people you need to find how much it would be for 12 people which is 12 divided by 3 is 4 so 36.75 times 4 is $147 and zoo cost 51 for 4 people so 12 divided by 4 is 3 so 3 times 51 is $153 so they would save more going to the science center then going to the zoo hoped this helped
Answer: science center

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see the attached figure to better understand the problem

Step-by-step explanation:

we have

points L(-3, 6), N(3, 2) and P(1, -8)

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we Know that

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step 1

Find the midpoint segment LP

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step 4

Convert to slope intercept form

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Find the midpoint segment LP

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Find the slope of the segment LP

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we have

L(-3, 6) and P(1, -8)

substitute the values

$m=\frac{-8-6}{1+3}$

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$m=-\frac{14}{4}$

$m=-\frac{7}{2}$

step 3

Find the slope of the perpendicular line to segment LP

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

$m_1*m_2=-1$

we have

$m_1=-\frac{7}{2}$

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$m_2=\frac{2}{7}$

step 4

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{7}$

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Convert to slope intercept form

Isolate the variable y

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Find the slope of the segment LP

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Find the slope of the perpendicular line to segment LP

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we have

$m_1=-\frac{7}{2}$

so

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Find the equation of the line in point slope form

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Convert to slope intercept form

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