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2 years ago

On the grid, sketch a graph to represent

Mathematics

1 answer:

Greeley [361]2 years ago

7 0

Answer:

Please find attached, the required graph created on MS Excel

Step-by-step explanation:

The distance between Sandy's house and the school = 200 m

The number of minutes Sandy talked to her friend for = 10 minutes

The time it took Sandy to return home to pick her homework = 5 minutes

Let x represent Sandy's location she stops to talk to her friend 10 minutes, we have;

The slope of the motion on the graph, m₁ = (x - 0)/(t - 0)

The slope of her motion running home to pick the up her homework, m₂ = (x - 0)/(5 - 0)

Given that t > 5, the slope on trip back home, m₁, is larger than are her initial slope, m₂

Therefore, where x = 125, we have;

The rate at which she returned home = m₂ = (125 m - 0)/(5 min - 0) = 25 m/min

Given that the same rate m₂ is what she used in heading back to school, we have;

The time it takes her to get to school = 200 m/(25 m/min) = 8 minutes

Therefore, whereby it took her 10 minutes to reach point x, we have the following coordinate points on the graph in a tabular form;

$\begin{array}{ccc} Time \ (minutes) \ x-axis&&Distance \ (meters) \ y-axis\\0&&0\\10&&25\\15&&0\\23&&200\end{array}$

The plot of the above point is completed using MS Excel as shown in the attached diagram.

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A worker in a silver mine descends 60 feet. Use an integer to represent the change in the worker's position.

iogann1982 [59]

Answer:

-60

Step-by-step explanation:

If the worker is descending, he is going down. The change in his position could be marked on a graph by translating the original point down by 60 units. Aka -60 units.

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3 years ago

On a number line, point D is at -3, and point E is at 6. The point F lies on DE. The ratio of DF to FE is 2:3. Where does point

expeople1 [14]

Answer: point F is at 0.6 on the number line

=============================================================

Explanation:

The ratio 2:3 scales up to 2x:3x for some positive real number x.

This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.

D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9

Set this equal to the 5x from earlier and solve

5x = 9

x = 9/5

x = 1.8

This leads to 2x = 2*1.8 = 3.6

Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.

Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.

5 0

3 years ago

Three times the quantity five less than x, divided by the product of six and x

Elden [556K]

Answer:

$\frac{3(x-5)}{6x}$

Step-by-step explanation:

we know that

The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5

3(x-5)

The phrase "the product of six and x" means the number 6 multiplied by x

therefore

The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x

$\frac{3(x-5)}{6x}$

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3 years ago

How many 5-letter combinations can be created from the letters in the word "friendly"?

avanturin [10]

Answer:

1). infer 2). fired 3). filed 4). filer 5). elfin 6). nerdy 7). felid 8). finer 9). liner 10). lined 11). fiery 12). fiend 13). ferly 14). ferny 15). lindy 16). fined 17). lifer 18). field 19). redly 20). riley 21). riled 22). liney 23). rifle 24). drily 25). fried 26). diner 27). flier 28). flied 29). idler 30). deify 31). reify 32). yield 33). refly 34). dynel 35). edify 36). flyer

hope this helps :)

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3 years ago

Evaluate. -2(x + 6) + 3 = -11x + 4(x + 4) The value of x is ___

Yanka [14]

-2(x + 6) + 3 = -11x + 4(x + 4)

-2x - 12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

5x = 25

x = 5

Hope this helps! :)

7 0

3 years ago