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amm1812
3 years ago
7

What is "The relationship between time and the distance Remaining on a 3 mile walk for someone walking at a steady rate of 2 mph

?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
5 0

Answer:

Let d be the remaining distance.

Let t be the remaining time.

The standard distance equation is:

d = rt

We are given the rate as 2, so:

d = 2t

At the start of the walk, the remaining distance is 3 miles.

The remaining time is 1.5 hours.

At the end of the walk, the remaining distance is 0 miles.

The remaining time is 0 hours.

A graph of the distance and time would be a continuous, solid line. That's because the walker will be at every distance between 3 and 0 and every time between 1.5 and 0.

Answer:

The graph of this would be a solid line

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scZoUnD [109]
It’s actually 11.

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2 years ago
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Solve this system by elimination <br> 10x+6y=14<br> -x-6y=-23
ludmilkaskok [199]

Answer:

(-1, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

10x + 6y = 14

-x - 6y = -23

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Add 2 equations together:                    9x = -9
  2. Divide 9 on both sides:                          x = -1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    -x - 6y = -23
  2. Substitute in <em>x</em>:                                     -(-1) - 6y = -23
  3. Multiply:                                                1 - 6y = -23
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Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to
kotykmax [81]

3 number of days are given form different activities of sales and purchase.

Day 2:

Earnings : $16

Spendings : $7.

Day 3:

Earnings : $22

Spendings : $12.

Please note: We always add the Earnings and Subtract the Spendings.

Therefore, the expression can be used to model the situation for these 2 days as

First day earning - First day spendings + Second day earning - Second day spendings

16-7 + 22 -12.

In order to write the expression as adding the additive inverse, we need to factor out minus from second group by making expression into two groups.

We will write two positive numbers in first group and two negative numbers in second group.

(16+22) + (-7-12).

Factoring out minus sign from second group, we get

(16+22) - (7+12)

This expression in additive inverse form now.


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Help!! BRAINLIEST TOO!
natulia [17]

Answer:

36.5 inches

Step-by-step explanation:

Given

See attachment for the given data

Required

Which length is closest to 4.2lb

The given data is a linear dataset.

So, we start by calculating the slope (m)

m =\frac{y_2 - y_1}{x_2 - x_1}

Pick any two corresponding points from the table

So, we have:

(x_1,y_1) = (8,1.21)

(x_2,y_2) = (12,1.63)

So:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1.63 - 1.21}{12 - 8}

m =\frac{0.42}{4}

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The linear equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y = 0.105 * (x - 8) + 1.21

Open bracket

y = 0.105x - 0.84 + 1.21

y = 0.105x + 0.37

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we set y = 4.2

Then solve for x

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y = 0.105x + 0.37

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0.105x= 4.2 - 0.37

0.105x= 3.83

Solve for x

x= 3.83/0.105

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