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3 years ago

10

Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures bef

ore she can schedule a meeting with the mayor. She already has 380 signatures. If each petition page holds 80 signatures, which inequality best shows how many more pages (p) Devin needs?
7 ≤ p
8 ≤ p
8 < p
9 < p

2 answers:

steposvetlana [31]3 years ago

8 0

Answer:

The correct opion is;

7 ≤ p

Step-by-step explanation:

The number of signatures Devin needs to collect = 1,000 signatures

The numer of signatures Devin has already = 380 signatures

The number ofsignatures each petition page can hold = 80 signatures

Therefore;

The number of extra signatures required = 1,000 - 380 = 680 signatures

The number of petition pages required = 1,000 petitions /(80 signatures/page) = 12.5 pages

The number of pages already filled = 380 petitions /(80 signatures/page) = 4.75 pages

The number of pages remaining, p = 12.5 - 4.75 = 7.75 pages

Therefore, 7 ≤ p.

stiks02 [169]3 years ago

7 0

Answer:

the answer is A)7 ≤ p

Step-by-step explanation:

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Step-by-step explanation:

Part 1) Find the equation of the perpendicular bisector side AB

we have

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<em>step 1</em>

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<em>step 2</em>

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The formula to calculate the midpoint between two points is equal to

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Find the equation of the perpendicular bisectors of AB

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The equation in slope intercept form is equal to

$y=mx+b$

substitute

$4=(-\frac{1}{4})(-1)+b$

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$b=4-\frac{1}{4}$

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Part 2) Find the equation of the perpendicular bisector side BC

we have

B(0, 8) and C(4, 2)

<em>step 1</em>

Find the slope BC

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{2-8}{4-0}$

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<em>step 2</em>

Find the slope of the perpendicular line to side BC

Remember that

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

therefore

The slope is equal to

$m=\frac{2}{3}$

<em>step 3</em>

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

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<em>step 4</em>

Find the equation of the perpendicular bisectors of BC

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Solve by graphing

using a graphing tool

the point of concurrency of the perpendicular bisectors is P(0.091,3.727)

see the attached figure

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