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Annette [7]
2 years ago
9

Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic

h number could be the number of paperback books Maggie put on her shelf?
Mathematics
1 answer:
lubasha [3.4K]2 years ago
8 0

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x   ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = \frac{5}{13}× Total books

⇒Hardback books = \frac{5}{13}× 13x = 5x

So, Paperback books = Total books - Hardback books

                                    = 13x - 5x

                                    = 8x

⇒Total Paperback books = 8x

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-2x + 3y =-9<br> X+y = 2
geniusboy [140]

Answer:

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

Step-by-step explanation:

Given equations are -2x+3y=-9\hfill (1)

x+y=2\hfill (2)

To solve given equations by using elimination method :

Mutliply the equation (2) into 2 we get

2x+2y=4\hfill (3)

Now adding the equations (1) and (3)

-2x+3y=-9

2x+2y=4

_______________

5y=-5

y-\frac{5}{5}

Therefore y=-1

Now substitute the value of y=-1 in the equation (1) we get

-2x+3(-1)=-9

-2x-3=-9

-2x=-9+3

=-\frac{-6}{-2}

Therefore x=3

The values of x and y to the given equation are x=3 and y=-1

The solution to the given equation is (3,-1)

8 0
2 years ago
The diagonals of a kite are in the ratio 3 : 2. The area of the kite is 27cm(squared). find the length of both diagonals.
alina1380 [7]
P= 27 \ cm^2 \\ \\P=\frac{1}{2} e * f \\ \\ f =3x , \ e = 2x \\ \\27=\frac{1}{2}*2*3x \\ \\27=3x/:3

x=3 \\ \\ f =3x =3 *3= 9 \ cm \\ \\ \ e = 2x = 2*3 = 6cm



6 0
3 years ago
Simplifly the expression 64^7/12
Evgesh-ka [11]

Answer:

8\sqrt{2}

Step-by-step explanation:

we have

64^{\frac{7}{12}}

we know that

64=2^{6}

substitute

64^{\frac{7}{12}}=(2^{6})^{\frac{7}{12}}\\ \\=(2)^{\frac{6*7}{12}} \\ \\=(2)^{\frac{7}{2}} \\ \\=\sqrt{2^{7}}\\ \\=2^{3}\sqrt{2} \\ \\=8\sqrt{2}

7 0
3 years ago
Is the following no solution or identity? 2x - 3=-3+2x
Darya [45]

Answer:

2x-3 = 2x-5

because both sides have the same x value ( 2x) this problem has no solution

Step-by-step explanation:

PLZ MARK ME BRAINLYIST

8 0
2 years ago
A bag contains 2 red marbles, 7 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the exact pro
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The overall probability it 7/17
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