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zhuklara [117]
2 years ago
13

Two times the quantity of eight times a number plus two is equal to three the quantity of two times the same number minus seven

Mathematics
1 answer:
Effectus [21]2 years ago
7 0

The unknown number is - 2.5

Let the number = n

The equation will be formed as follows;

  • eight times a number plus two = 8n + 2
  • Two times the quantity of eight times a number plus two = 2(8n + 2)
  • two times the same number minus seven = 2n - 7
  • three the quantity of two times the same number minus seven = 3(2n-7)

Our final equation becomes;

2(8n + 2) = 3(2n-7)

Simplify as follow, to determine the unknown number;

16n + 4 = 6n - 21

16n - 6n = -25

10n = -25

n = -2.5

Thus, the unknown number is - 2.5

Learn more here: brainly.com/question/13818690

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Factorise
Rufina [12.5K]

Answer:

6x - 9

3(2x−3)

2a(5b+3)

Step-by-step explanation:

Factor 6a+10ab

10ab+6a

Factor 6x−9

6x−9

=3(2x−3)

                             :))

8 0
2 years ago
Read 2 more answers
If the first chapter of a certain book is 28 pages long and makes up 4% of the book, how many pages does the entire book have?
Schach [20]

Answer:

700 pages

Step-by-step explanation:

I first found out how many pages were in 1% so I divided 28 by 4.  

I got 7 so I multiplied it by 100 and 700 was the answer.

Basically:

28÷4 = 7

7 x 100 = 700

I hope that kinda made sense!

8 0
3 years ago
The length of a rectangle is 4 more than twice the width. The perimeter is 74 feet. Find the length and width of the rectangle.
mafiozo [28]
(2*length)+(2*width)=perimeter
length=4+2w
(2(4+2w))+(2(w))=74
74=(8+4w)+(2w)
74=6w+8
66=6w
w=11
length=4+2(11)
l=4+22
l=26
3 0
3 years ago
Simplify the expression.
ivann1987 [24]

Answer:

x

Step-by-step explanation:

(log to the base 3) of 27^x can be re-written as

x*(log to the base 3) of 27, which is equivalent to:

x*(log to the base 3 of 3^3)  =  x

So the answer is simply " x "

8 0
3 years ago
Find all complex numbers $z$ such that $z^4 = -4.$
patriot [66]

Converting -4 to polar form gives -4=4\exp(i\pi).

Then the 4th roots of -4 would be the numbers

4^{1/4}\exp\left(i\dfrac{\pi+2k\pi}4\right)

where <em>k</em> is taken from {0, 1, 2, 3}.

So we have

z_1=4^{1/4}\exp\left(\dfrac{i\pi}4\right)=\sqrt2\left(\cos\dfrac\pi4+i\sin\dfrac\pi4\right)=1+i

z_2=\sqrt2\left(\cos\dfrac{3\pi}4+i\sin\dfrac{3\pi}4\right)=-1+i

z_3=\sqrt2\left(\cos\dfrac{5\pi}4+i\sin\dfrac{5\pi}4\right)=-1-i

z_4=\sqrt2\left(\cos\dfrac{7\pi}4+i\sin\dfrac{7\pi}4\right)=1-i

4 0
3 years ago
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