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3 years ago

Solve -2(n + 5) + 6n = 14 for n.

Mathematics

1 answer:

Murrr4er [49]3 years ago

6 0

Answer:

n=6

Step-by-step explanation:

Given -> -2(n+5)+6n=14

Distributive Property -> -2n-10+6n=14

Combine like terms -> 4n-10=14

Add 10 to both sides -> 4n=24

Divide both sides by 4 -> n=6

So n=6

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13. What is the result of adding 5.4a + 7.1 and -1.28 - 6.3?

den301095 [7]

Answer:

C. 4.2a + 0.8

Step-by-step explanation:

Given:

The two binomials given for addition are:

$5.4a+7.1$ and $-1.2a-6.3$

Now, adding both the binomials, we get:

$5.4a+7.1+(-1.2a-6.3)$

Distributing the positive sign inside the second binomial, we get:

$5.4a+7.1-1.2a-6.3$

Now, combining like terms using the commutative property of addition, we get:

$(5.4a-1.2a)+(7.1-6.3)$

Simplifying the above expression, we get:

$(5.4-1.2)a+0.8\\4.2a+0.8$

Therefore, the resulting addition of the given binomials is $4.2a+0.8$

Hence, option C is the correct answer.

8 0

3 years ago

5/8 9/x the figures are similar find x

Drupady [299]

5/8 9/x

Cross multiply

9x8=72
5×x=5x

Rewrite the equation

72 = 5x

Divide by 5

72÷5=14.4

So, x=14.4

8 0

3 years ago

12<br> Using side lengths only, could the triangles be similar?<br> 0.5<br> m05 1 1.5

Murljashka [212]

Answer:

$\large\boxed{\text{No.}\ \dfrac{0.5}{1}\neq\dfrac{1}{1.5}\neq\dfrac{1.5}{2}}$

Step-by-step explanation:

$\text{Let}\\ a,\ b,\ c\ -\ \text{sides of a triangle ABC, where}\ a\leq b\leq c\\d,\ e,\ f\ -\ \text{sides of a triangle}\ DE F,\ \text{where}\ d\leq e\leq f.\\\\\triangle ABC\sim\triangle DE F\iff\dfrac{a}{d}=\dfrac{b}{e}=\dfrac{c}{f}\\\\/\text{corresponding sides are in proportion}/$

$\bold{WARNING !!!}\\\\\text{No triangle like QRS exists!}\\\\1 + 0.5 = 1.5 !!!\\\\\text{The sum of the lengths of the two shorter sides of the triangle}\\\text{must be greater than the length of the longest side.}$

$\text{Despite this, let's check the ratios}$

$\text{We have:}\\\\\triangle XYZ\to a=1,\ b=1.5,\ c=2\\\triangle QRS\to d=0.5,\ e=1,\ f=1.5$

$\text{Check:}\\\\\dfrac{d}{a}=\dfrac{0.5}{1}=0.5\\\\\dfrac{e}{b}=\dfrac{1}{1.5}=\dfrac{10}{15}=\dfrac{2}{3}\\\\\dfrac{f}{c}=\dfrac{1.5}{2}=\dfrac{15}{20}=\dfrac{3}{4}\\\\\dfrac{d}{a}\neq\dfrac{e}{b}\neq\dfrac{f}{c}\neq\dfrac{d}{a}$

8 0

3 years ago

I need help with this problem if you can help please tell me what you did so I can understand please :)

balu736 [363]

The perimeter is 20 units

Step-by-step explanation:

The end-point of a side of square can be used to calculate length of a side. And the side will be used to calculate the perimeter.

Given

(3,-1) and (7,2)

Let

(3,-1) = (x1,y1)

(7,2) = (x2,y2)

We have to calculate the distance

The formula for distance is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Let s be the side of a square

then,

$s=\sqrt{(7-3)^2+(2-(-1))^2}\\s=\sqrt{(4)^2+(2+1)^2}\\=\sqrt{16+(3)^2}\\=\sqrt{16+9}\\=\sqrt{25}\\=5\ units$

The side of square is 5 units. Then,

$Perimeter=P=4s\\=5*4\\=20\ units$

The perimeter is 20 units

Keywords: Perimeter, Square

Learn more about perimeter at:

#LearnwithBrainly

6 0

3 years ago

What is the solution to the equation 2/3 x + 1 = 1/6 x -7

slamgirl [31]

Answer:

x = -16

Step-by-step explanation:

2/3 x + 1 = 1/6 x -7

Multiply both sides of the equation by 6 to eliminate the fraction

6*(2/3 x + 1) =6( 1/6 x -7)

4x +6 = x -42

Subtract x from each side

4x-x +6 = -42

3x +6= - 42

Subtract 6 from each side

3x+6-6 = -42-6

3x = -48

3x/3 = -48/3

x = -16

3 0

3 years ago