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Juliette [100K]
3 years ago
6

Find the value of d such that the system of equations 15x + 10y=-11 and -9x+DT=-19

Mathematics
1 answer:
miskamm [114]3 years ago
8 0

Answer:

1. 15x + 10y=-11

15x + 10y + 11=-11 + 11

15x + 10y + 11 = 0

2. -9x + DT = 19

-9x = 19 - DT

x = 19/9 + 1/9DT

x = 19/9 + 1/9DT, D∈ℝ, T∈ℝ

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Step-by-step explanation:

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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
(PLEASE SOLVE ASAP EXPLAIN ALSO)
adelina 88 [10]

Answer:

3.81

Step-by-step explanation:

-      +     -

-      +     -

-      +      -

If you were to go all ways on this chart↑ the rules would always be the same.

A negative plus a negative is a negative.

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5 0
3 years ago
How to put -3x(4-6x) in distributive property
Rashid [163]

Answer:

-12x+18x²

Step-by-step explanation:

Given: -3x(4-6x)

Distributive property of multiplication under which a number is multiplied by the sum of two number, the first number can be distributed to both of those number.

∴  -3x(4-6x)

solving it by using distributive property

= (-3x\times 4)-(-3x\times 6x)

= -(12x) + 18x^{2}

Opening parenthesis

=  -12x+18x^{2}

Hence, -12x+18x^{2} is the result after using distributive property.

3 0
3 years ago
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