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d1i1m1o1n [39]
1 year ago
10

Isabelle is collecting pledges for a walk-a-thon. Her mother has pledged a flat donation of $9, and her grandmother has pledged

$1 per mile. If Isabelle walks a certain distance, the two donors will end up owing the same amount. How much will each donor owe?
Mathematics
1 answer:
Phantasy [73]1 year ago
3 0
<h2>Key Concepts</h2>
  • Linear systems
  • Word problems

<h2>Solving the Question</h2>

In this case, we're given the following information:

  • Mother = $9
  • Grandmother = $1 per mile
  • Isabelle walks <em>x</em> miles, mother pledge = grandmother pledge

The mother's donation of $9 will not change <em>no matter how many miles Isabelle has walked</em>, so if both the mother's and grandmother's donations are equal, they must each owe 9$.

<h2>Answer</h2>

Each donor owes $9.

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ABCD is rectangle on a coordinate grid with side AB parallel to side CD. Side BC is perpendicular to AB. The slip of AB is 3/4.
dybincka [34]

The slope of BC is \frac{-4}{3}

Step-by-step explanation:

Let us revise some notes about slopes of lines

  • If two lines are parallel, then their slopes are equal
  • If to lines are perpendicular, then the product of their slopes is -1, that means if the slope of one is m, then the slope of the other is \frac{-1}{m}

∵ ABCD is a rectangle

∵ AB // CD

∴ The slope of AB = the slope of CD

∵ BC ⊥ AB

∴ The slope of BC × the slope of AB = -1

∵ The slope of AB = \frac{3}{4}

- To find the slope of BC reciprocal the slope of AB and reverse its sign

∴ The slope of BC = \frac{-4}{3}

The slope of BC is \frac{-4}{3}

Learn more:

You can learn more about the slope in brainly.com/question/9801816

#LearnwithBrainly

6 0
3 years ago
You need to cut a 9 foot piece of plywood into 12 inch sections. Every cut also removes 1/8 inch. How many 12 inch sections can
dimaraw [331]
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6 0
3 years ago
At lunch a waiter had seven customers and two of them didn’t leave a tip.If he got seven each from the ones who did tip how much
11Alexandr11 [23.1K]

Answer:

$35

Step-by-step explanation:

7 customers - 2 who didn't tip =  5 who did tip

$7 from those who did tip * 5 ppl who tipped = $35 earned

6 0
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The difference between a number and 12 is 20
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3 0
3 years ago
What is the sign of f on the interval -2
TEA [102]

Answer:

f is sometimes positive and sometimes negative.

Step-by-step explanation:

f(x)=(x-3)(x+2)(x+4)(x+4)(x-1)(2x-9)

Take x=-1\in(-2,\frac{9}{2})\ as-2

f(-1)=(-1-3)(-1+2)(-1+4)(-1-1)(-2-9)\\\\=(-4)(1)(3)(-2)(-11)\\\\=-264\\\\f(-1)

Take x=2\in(-2,\frac{9}{2})\ as\ -2

f(2)=(2,-3)(2+2)(2+4)(2-1)(2\times2-9)\\\\=(-1)(4)(6)(1)(-5)\\\\=120\\\\f(2)>0

Hence f(x) for x=-1 and f(x)>0 for x=2

So f is sometimes positive and sometimes negative in the interval.

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