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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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AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 \times 2= <em>6 days</em>

4 0
3 years ago
Write the polynomial in standard form. Then name the polynomial on its degree and numbers of terms. 8-4x^2+10x^2+2x
mojhsa [17]
8-4x^2+10x^2+2x
8+6x^2+2x
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The correct answer is C.)
6 0
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A function of the form f(x)=mc+b, where m and b are real numbers is called a ____ function ?
FrozenT [24]
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3 years ago
The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.
Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

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The area of the mosaic.

Solution:

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Therefore, the total area of the mosaic is 2340 cm ².

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"if f(x)=x+1/x then the set of values for which f increases is"
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The solution for this problem would be:
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Therefore, the answer is (-infinity,-1] U [1,infinity).
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