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nataly862011 [7]
3 years ago
8

The local library has a children’s section with picture books and chapter books. The ratio is 2:3. If there are a total of 500 b

ooks in the children’s section, then how many chapter books are in the section?
Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer:

300, I think.

Talja [164]3 years ago
4 0

Answer:

there are 300 chapter books in the children's section

Step-by-step explanation:

the way you'd solve these kinds of problems is to turn it into an equation.

the ratio of 2:3 with a total of 500

<em>becomes</em>

2x + 3x = 500

2x + 3x = 500

<em>combine like terms </em>

5x = 500

<em>divide both sides of the equation by 5</em>

5x/5 = 500/5

x = 100

<em>now, substitute x in the original equation.</em>

2x + 3x = 500

200 + 300 = 500

There are <u>300</u> chapter books

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nlexa [21]

Answer:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

Step-by-step explanation:

Hello!

We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.

We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:

  • The radial coordinate which is often denoted by r.
  • The angular coordinate by θ.

So we need to find r and θ. So we know that:

r=\sqrt{x^{2}+y^{2}}       (1)

x = rcos(θ)                                   (2)

x = rsin(θ)                                    (3)

From the statement we know that (x, y) = (3, -3).

Using the equation (1) we find that:

r=\sqrt{x^{2}+y^{2}}=\sqrt{3^{2}+(-3)^{2}} = 3\sqrt{2}

Using the equations (2) and (3) we find that:

3 = rcos(θ)

-3 = rsin(θ)

Solving the system of equations:

θ= -45

Then:

r = 3\sqrt{2}[/tex]

θ= -45 or 315

Notice that  there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.

So, the solution is:

(3 square root of 2 , 135°), (-3 square root of 2 , 315°)

4 0
3 years ago
Wich one is it???????????
Agata [3.3K]

Answer: Division Property of Equality

4 0
2 years ago
Read 2 more answers
I need help with this question
Dimas [21]

Answer:

Step-by-step explanation:

10+18+25+27+35+50=165

n=6

mean =165/6=27.5

x   x- mean    (x-mean)²

10     -17.5          306.25

18      -9.5            90.25

25     -2.5              6.25

27     -0.5              0.25

35      7.5            56.25

50   22.5          506.25

      _____      ________

sum     0             965.5

       _____     _________

standard deviation

=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896

4 0
2 years ago
Given x=-3, y=6, and z=-4 xz/-2y
zimovet [89]

Answer:

-1

Step-by-step explanation:

sub in the values of x, y and z into the equation

you get:

(-3)(-4)/(-2)(6)

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= -1

8 0
3 years ago
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A square ceiling has an area of 360 square feet. Alex wants to put molding around the entire perimeter of the ceiling. Approxima
Blababa [14]

Answer:

Option C is correct

76 feet

Step-by-step explanation:

Area of square(A) is given by:

A =s^2

where, s is the side of the square.

As per the statement:

A square ceiling has an area of 360 square feet.

⇒A = 360 square feet.

then;

s^2 = 360

⇒s = \sqrt{360} =18.973666

Perimeter(P) of square is given by:

P = 4s

then;

P = 4 \cdot 18.973666 = 75.894664 \approx 76 ft

Therefore, 76 feet molding does he need.

7 0
3 years ago
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