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Lorico [155]
3 years ago
13

Dr.Drange has a collection of 90 books. Of the books, 2/9 are math books, 1/6 are science books,and the rest are romantic novels

s. How many romantic novels does he have?
Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0

13/18 used common denominator of 90 so 2/9 x 10 and 1/6 x 15 gave me 20/90 and 15/90. Added those and cane up with 35/90. Difference was 65/90 so but could be divided by 5 so my answer came out to 13/18.

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Answer my questions plz help
coldgirl [10]

9514 1404 393

Answer:

  • a = -2/3, b = 8, c = -24
  • y-intercept: (0, -24)
  • x = -b/(2a) = -8/(2(-2/3)) = 8(4/3)
  • x = 6
  • DOWN
  • Max: (6, 0)
  • Vertex: (6, 0)
  • Domain: {x | x ∈ ℝ}
  • Range: {x | x ≤ 0}

Step-by-step explanation:

To find a, b, c, compare the given function to ...

  f(x) = ax² +bx +c

You will see that ...

  • a = -2/3
  • b = 8
  • c = -24

The y-intercept is the function value for x=0. It is the constant term:

  y-intercept = f(0) = -24

Use the above values of a, b to find the line of symmetry.

  x = \dfrac{-b}{2a}=\dfrac{-8}{2\cdot\dfrac{-2}{3}}=8\cdot\dfrac{3}{4}=6

Per the calculation, the line of symmetry is ...

  x = 6

The negative leading coefficient tells you the parabola opens DOWN.

Because it opens down, the vertex at (6, 0) is a Maximum.

As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.

The range is all values below the vertex (including the vertex), so is ...

  x ≤ 0

3 0
2 years ago
PLEASE HURRY LOT OF POINTS AND WILL GOVE BRIANLIEST!
Alla [95]

See attached picture.

Break the shape up into 4 different shapes and find the seperate areas then add them together.

Answer = C. 146

4 0
3 years ago
Read 2 more answers
Plz help plz plz plz​
Rama09 [41]

6 (x+5)

I hope this helps :))

3 0
3 years ago
Solve for x: the quantity of x plus 4 over 3 = 2.
defon

Answer:

x =2

Step-by-step explanation:

(x+4) /3 = 2

Multiply each side by 3

(x+4) /3  *3= 2*3

x+4 = 6

Subtract 4

x+4-4 = 6-4

x =2

8 0
3 years ago
Read 2 more answers
Samantha needs 4/5 yard of fabric to make costumes for the school play. Write and solve and equation to find how many costumes s
ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

Samantha needs 4/5 yard of fabric to make costumes for the school play.

Let x represent the number of yards of fabric that she has

Let y represent the total number of costumes that she can make from x yards of fabric.

Since one costume require 4/5 yards of fabric, y costumes will require

x ÷ 4/5 = x×5/4 = 5x/4

The equation will be

y = 5x/4

to find how many costumes she can make with 8 yards of fabric, it becomes

y = (5×8)/4

y = 40/4 = 10

5 0
3 years ago
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