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IgorLugansk [536]
3 years ago
13

Nine fifths multiplied by twenty three over eighteen

Mathematics
2 answers:
vampirchik [111]3 years ago
5 0

Answer:

In fraction form, the result is: \frac{23}{10}

in decimal form: 2.3

Step-by-step explanation:

Recall that the multiplication of two fractions results in another fraction whose numerator is the product of the two initial numerators and whose denominator is the product of the two denominators:

\frac{a}{b} \,*\,\frac{c}{d} = \frac{a\,*\,c}{b\,*\,d}

Most likely you are asked to give the answer in fraction form, so it is essential that all numerators and all denominators are factored out to cancel common factors of denominator and denominator.

\frac{9}{5} \,*\,\frac{23}{18} =\frac{9\,*\,23}{5\,*\,18} =\frac{(3*3)\,*\,23}{5\,*\,(2*3*3)}=\frac{23}{5\,*\,2}=\frac{23}{10} =2.3

andreyandreev [35.5K]3 years ago
4 0
Take 9x23= 207
Then 5x18= 90

Now simplify
207divided by 3=69
90 divided by 3= 30

Now I’m gonna divide by 3 again
69/3=23
30/3=10

23/10 would be your answer

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Factorise x squared - 2x - 35
valkas [14]
Write -2x as a difference
x^2 + 5x -7x - 35

Factor out x from the expression
x(x+5) -7x - 35

Factor out (x+5) from the expression
(x+5) (x-7)
7 0
3 years ago
Solve for x in the equation x+10=15.
almond37 [142]
X=5. just subtract 10 from each side. That eliminates 10 from one side and subtracts 10 from 15 giving you X=5
3 0
3 years ago
The height of a triangle is 2 less than 5 times its base. If the base of the triangle is xfeet, and the area is 12 square feet,
Reil [10]

Answer:

5B^{2}  - 12B +10B - 24 = 0\\\\\   Base of triangle = 2.4 Feet and Height of triangle = 10 feet.

Step-by-step explanation:

This problem can be solved by using formula to calculate area of triangle.

<u>Area of triangle = 1/2*(base*height)</u>

given

Let base of triangle B

height if triangle H

according to problem

The height of a triangle is 2 less than 5 times its base

mathematically it can be expressed as

H = 5*B - 2

Given area of triangle= 12 sq feet

Area of triangle = 1/2*(base*height)

=> 12 = 1/2* {B*(5*B-2)}

=> 24 = 5B^2 - 2B

5B^{2}  - 12B +10B - 24 = 0\\\\\   which is a  quadratic equation

It can be solved as given below

5B^{2}  +10B - 12B  - 24 = 0\\\\\=>5B(B +2) -12(B +2) = 0\\=> (5B - 12) (B +2) = 0\\5B - 12 = 0      or B + 2 = 0\\Hence B = 12/5 \  or  \ B = -2\\\\  

Since for side of triangle B cannot be negative number hence B= 12/5 = 2.4

Therefore height of triangle = 5*B - 2 = 5*2.4 - 2 = 12 - 2 = 10

Base of triangle = 2.4 Feet and Height of triangle = 10 feet.

Equation which models this situation is

5B^{2}  - 12B +10B - 24 = 0\\\\\

6 0
3 years ago
-{1-2[10-(-1-5)²]}<br><br> ASAP<br><br> I got -53 is it right?
Sauron [17]

Answer:

You are correct the answer is -53

Step-by-step explanation:

So you first add -1 and -5

Which is -6

-6 to the second power is 36

36 times - is -36

10-36 is -26

Then it is multiplied by -2

Thus 52

Add 1 to 52 which is 53

53 times - is -53

Thus you are correct

7 0
3 years ago
Determine and state the length of a line segment whose endpoints are (4,7) and (−3,5). Round your answer to the nearest tenth.
Romashka-Z-Leto [24]

Answer:

\left(\frac{1}{2},\:6\right)

Step-by-step explanation:

Plug into the midpoint formula

(\frac{x_{1}+x_{2}  }{2} ,\frac{y_{1}+y_{2}  }{2} )

<u>Hope this helps :-)</u>

<u />

4 0
3 years ago
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