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lora16 [44]
3 years ago
6

3(-4n - 9) = 21 plc solve ​

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
7 0
<h3>Answer:</h3>

\huge{\boxed{n=-4}}

<h3>Explanation:</h3>

\begin{array}{cc}\begin{flushright}\text{Divide both sides of the equation by 3.}\end{flushright}&\begin{flushleft}-4n-9=7\end{flushleft}\\\begin{flushright}\text{Add 9 on both sides.}\end{flushright}&\begin{flushleft}-4n=16\end{flushleft}\\\begin{flushright}\text{Divide both sides by -4.}\end{flushrigh}&n=-4\end{array}

Contact [7]3 years ago
4 0

Answer:

\Huge \boxed{n=-4}

Step-by-step explanation:

First thing you do is divide by 3 from both sides of equation.

\displaystyle \frac{3(-4n-9)}{3}=\frac{21}{3}

Simplify.

\displaystyle -4n-9=7

Then add by 9 from both sides of equation.

\displaystyle -4n-9+9=7+9

Simplify.

\displaystyle 7+9=16

\displaystyle -4n=16

Divide by -4 from both sides of equation.

\displaystyle \frac{-4n}{-4}=\frac{16}{-4}

Simplify, to find the answer.

\displaystyle 16\div-4=-4

\huge\boxed{\textnormal{N=-4}}, which is our answer.

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Answer:

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Step-by-step explanation:

3 0
3 years ago
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Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units. Which statements bes
valentinak56 [21]

Answer:

<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>

Step-by-step explanation:

Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units

From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.

By the definition of rhombus, diagonals meet at right angles.

Implies that PQ = QA

x+2 = 3x - 14

x-3x=-14-2

-2x=-16

2x = 16

dividing by 2 on both sides, we will get,

x =\frac{16}{2}

<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>

The line segment \overrightarrow{PA}=\overrightarrow{PQ}+\overrightarrow{QA}

\overrightarrow{PA}=x+2+3x-14

=4x-12

=4(8)-12 ( since x=8)

=32-12

=20

<h3>∴ \overrightarrow{PA}=20 units</h3>
3 0
3 years ago
Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
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NISA [10]

Answer:

Step-by-step explanation:

Instead of dividing both sides by 5, it is multiplied

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           5x/5 = 3/5

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8 0
2 years ago
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The answer is B. y =  0.75 + 2.25. because i've done this assement.

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