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svetoff [14.1K]
3 years ago
14

A website sells used comic books. The table shows how the price of Painted Tiger, Volume 1, has changed over the last 4 months.

If the price started at $7.37, what is the current price? Explain how you know that your answer is reasonable.

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0
Explanation:
_______________
Price starts at: $7.37.
__________________
The first month, it increases by $0.50, so we add $0.50 to that starting value:
__________________
    $  7.37 
+      0.50
___________
    $  7.80
_____________
The second month, it decreases by $0.38, so we subtract $0.38 from our last obtained value:
___________________
    $  7.80
-       0.38
___________
    $  7.42
______________
During the third month, it increases by $0.32, so we add $0.32 to our last obtained value:
______________
    $  7.42
+      0.32
___________
    $  7.74
______________
During the fourth month, it decreases by $0.12, so we subtract $0.12 from our last obtained value:
________________________
    $  7.74
-       0.12
___________
    $  7.62; which is our answer.
_____________
How do we know our answer is reasonable?
______________
We start with: $7.37, then plus $0.50, then minus 0.38, then plus 0.32, then minus 0.12.
_______________
The "minus 0.38"and "plus 0.32" do not "cancel out" , but come close to. The "plus 0.50" and "minus 0.12"; in consideration with the above sentence; suggest that the value should be over the starting price of $7.37, but not much more than $8.00; or even less than $8.00. 
  Our answer is: $7.62; which seems "reasonable".
__________________________
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Answer:

Number of doubles games = 6

Number of singles games = 7

Step-by-step explanation:

Let the number doubles be d and number of singles be s.

There are 13 matches in progress.

                         d + s = 13  ----------------------eqn 1

There are 38 people playing tennis. A doubles match requires 4 players, and a singles match requires 2 players.

                    4 d + 2 s = 38  ----------------------eqn 2

eqn 1 x 2

                         2d + 2s = 26  ----------------------eqn 3

eqn 2 - eqn 3

                          4 d + 2 s -  2d + 2s = 38 - 26

                             2d = 12

                                d = 6

Substituting in eqn 1

                            6 + s = 13          

                                   s = 7

Number of doubles games = 6

Number of singles games = 7

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Answer:

m∠K =m∠N

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Step-by-step explanation:

The picture of the question in the attached figure

we know that

if two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

<u><em>Verify each statement</em></u>

case a) we have

m∠K =m∠N

The statement is true

Because, angle K and angle N are corresponding angles, and remember that in similar figures corresponding angles are congruent

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The statement is false

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