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2 years ago

Complete the statement.

Mathematics

1 answer:

aleksley [76]2 years ago

5 0

Didnt feel like doing them all , i only attempted to answer the first one which is " a " ( -6 ) hope i helped :)

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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.

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

2 years ago

Solve the equation 5(a – 7) + 11 = 2a – 3(a + 4) for a

Lady bird [3.3K]

The answer is a equals 6.

6 0

3 years ago

Read 2 more answers

What is the first term of the expression?<br><br><br> −6xyz + 9xy + 12x + 18y <br><br> TIA!

tatyana61 [14]

For this case we have that by definition:

<em>The terms of a polynomial expression are those that are composed of coefficients and variables separated by signs of addition and subtraction. </em>

We then have the following expression:

$-6xyz + 9xy + 12x + 18y$

According to the definition, we can conclude that the first term is given by:

$-6xyz$

Answer:

The first term of the expression is:

$-6xyz$

4 0

2 years ago

Read 2 more answers

23 is 12% of what number

Anon25 [30]

$\frac { 12 }{ 100 } \cdot x=23\\ \\ \Rightarrow \quad \frac { 3 }{ 25 } \cdot x=23\\ \\ \Rightarrow \quad \frac { 25 }{ 3 } \cdot \frac { 3 }{ 25 } \cdot x=23\cdot \frac { 25 }{ 3 } \\ \\ \Rightarrow \quad x=\frac { \left( 20+3 \right) \left( 25 \right) }{ 3 } \\ \\ \Rightarrow \quad x=\frac { 500+75 }{ 3 } \\ \\ \Rightarrow \quad x=\frac { 575 }{ 3 }$

8 0

3 years ago

A bean plant grows at a constant rate for month. After 10 days, the plant is

IrinaVladis [17]

Answer:

D or y-25=2(x-10)

Step-by-step explanation:

If you graph all or the answers the only one that hits both points is D.

7 0

2 years ago