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zvonat [6]
3 years ago
5

Answers here or on your

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer/Step-by-step explanation:

Given:

When Jada took 8 steps, Noah took 10 steps

When Jada took 12 steps, Noah took 15 steps

a. The following table can be created as follows given that x = steps taken by Jada, and y = steps taken by Noah:

From the info given, the ratio of Noah's steps to Jada's steps is 15 : 12 = 10 : 8 = 5 : 4 = ⁵/4.

Use this ratio to create a table of 3 pairs of values as shown below.

Jada's Steps (x) ===> Noah's steps (y)

4 ===> 5

8 ==> 10

12 ==> 15

b. The graph of that shows this relationship has been attached below. Check the attachment.

c. Constant of proportionality can be calculated in each representation as follows: y/x = k. Where y is steps taken by Noah, x is for steps taken by Jada, and I is constant of proportionality.

Thus,

Constant of proportionality (k) = 15/12 = ⁵/4

This means, for every 5 steps taken by Noah, Jada takes 4 steps.

This relationship is represented by the equation, y = ⁵/4x.

The ⁵/4 in the equation is the constant of proportionality of their relationship.

d. The equation, description, graph, and table all represent the same situation because they all show the same constant of proportionality between x and y.

In the equation, ⁵/4 represents the constant of proportionality. In the graph, the slope is ⁵/4, which is also the same last constant of proportionality.

In the table, the constant of change in each pair is ⁵/4 all through.

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Simplify the expression by combining like terms. -3y - 2 - 3 + 17y
Nookie1986 [14]

Answer:

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Step-by-step explanation:

Given:

-3y - 2 - 3 + 17y   (rearrange so that like terms are together)

= 17y - 3y -2 -3  (group like terms)

= (17y - 3y) + (-2 -3 )   simplify

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4 0
3 years ago
In the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?
Anastaziya [24]

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Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG.  Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

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The sides are not a Pythagorean triple, so GH is not tangent to the circle.

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What is the area of this figure?<br><br><br><br> Enter your answer in the box.<br><br> ( )
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Answer:

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Step-by-step explanation:

7 0
2 years ago
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Which of the following comparisons is correct?<br>-2 2<br>4&lt;−4<br>−6&lt; −5
zlopas [31]
<h3>Answer: Choice D)   -6 < -5</h3>

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

Explanation:

Let's go through the answer choices

  • A) This is false because -2 is actually larger than -5. Make a number line and you'll see that -2 is to the right of -5. Numbers on the right are larger than numbers on the left.
  • B) This is also false. The value 0 is smaller than 2. A number line might help show this.
  • C) Also false. It should be 4 > -4. Any positive number is always larger than any negative number.
  • D) This is true. On a number line, -6 is to the left of -5, so -6 is smaller than -5. This makes -6 < -5 a true statement.

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17. Add - 16 + (-27)
Akimi4 [234]

just add the whole numbers and add negative infront          -16+-27= -43

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