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ozzi
3 years ago
12

Sam wanted to find the difference 10 -(-6).

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Given:

The expression is 10 - (-6).

Sam's calculation is 10 - (-6) = 10 + (-6) = 4

To find:

Whether Sam's thinking correct or not.

Solution:

We have,

10 - (-6) = 10+6       [\because (-)(-)=(+)]

10 - (-6) = 16

10 - (-6) \neq 4

Therefore, Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

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Colby is making a home video consisting of a 5-minute introduction followed by several short skits. Each skit is 6 minutes long.
givi [52]
<h2>Hello!</h2>

The answer is: There are a total of 16 skits in the video.

<h2>Why?</h2>

From the statement, we know that the total length of the video is 101 minutes and it contains a 5-minute introduction, the rest of the minutes are short skits (which are 6 minutes long each one).

So, we need to write the following equations:

First equation:

TotalDuration=Introduction+n*Skit

Second equation:

Skit=6Minutes

Where,

TotalDuration=101Minutes\\Introduction=5Minutes\\n=NumberOfSkits\\Skit=6Minutes

So, replacing and substituting the second equation into the first equation we have:

101Minutes=5Minutes+n*6Minutes\\n*6Minutes=101Minutes-5Minutes\\n*6Minutes=96Minutes\\n=\frac{96Minutes}{6Minutes}=16

So, there are a total of 16 skits in the video.

Let's prove it substituting "n" into the first equation:

101Minutes=5Minutes+16*6minutes\\101Minutes=5Minutes+96Minutes\\101Minutes=101Minutes

Have a nice day!

8 0
3 years ago
What is the answer to |x-4|&lt;13
VARVARA [1.3K]

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

7 0
3 years ago
Which of these points lies on the circle with center (2 3) and radius 2
Grace [21]

Answer:

(x-2)^2 + (y-3)^2 = 4

Step-by-step explanation:

Use the equation (x-h)^2 + (y-k)^2 = r^2 where the center of the circle is (h,k) and the radius is r.

4 0
2 years ago
Consider the two data sets. Which has the higher mean and median? What is the higher mean and median?
Klio2033 [76]

Set 1 mean - 23.625

Set 2 mean - 23.5

Set 1 median - 23.5

Set 2 median - 22.5

This shows the answer is D :)

8 0
3 years ago
Distributive property 27+36
UkoKoshka [18]

Answer:

I think it will be equal to 63

Step-by-step explanation:

27+46=63

3 0
3 years ago
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