There are 20 children in the cast of a class play, and 8 of the children are boys. Of the boys, 4 have a speaking part in the play, and of the girls, 8
do not have a speaking part in the play. If a child from the cast of the play is chosen at random, what is the probability that the child has a
speaking part?
A: 2/5
B: 1/2
C: 3/5
D: 3/4

Answer:

The answer is 24

Step-by-step explanation:

What you can do is add all of the numbers (31 + 33 + 35 + 37 + 39)

[tex]31 + 33 + 35 + 37 + 39=175[/tex]

Then subtract 199 by 175

[tex]199-175=24[/tex]

To check add them all together

[tex]31 + 33 + 35 + 37 + 39+24=199[/tex]

Hope this helps

Answer:

10*5 = 7x

Step-by-step explanation:

We can solve using cross products

10*5 = 7x

50 = 7x

divide each side by 7

50/7 =7x/7

50/7 =x

Answer:

Step-by-step explanation:

I used the formula

V=πr^2h

Hope this helps! (brainliest pls?)

Answers:

Look at the attached picture

Hope it will help you

Good luck on your assignment....

Answer:

7000 mg = 7 g

18500 g = 18.5 kg

22 g = 22000 mg

4.7 kg = 4700 g

8.3 kg = 8300 g

135000 mg = 135 g

Step-by-step explanation:

First we need to use some important conversion rates so I will write them for below

1 Milligram (mg) = 0.001 Grams (g)

1 Gram (g) = 0.001 Kilogram (Kg)

1 Gram (g) = 1000 Milligrams (mg)

1 Kilogram (Kg) = 1000 Grams (g)

Using the above conversion rates we can solve these questions

Question 1

7000 mg = ? g

Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,

0.001 × 7000 = 7 grams

Question 2

18500 g = ? kg

Using the information at the top 1 Gram (g) = 0.001 Kilogram (Kg) so,

18500 ÷ 1000 = 18.5 kg

Question 3

22 g = ? mg

Using the information at the top 1 Gram (g) = 1000 Milligrams (mg) so,

22 × 1000 = 22000 mg

Question 4

4.7 kg = ? g

Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,

4.7 × 1000 = 4700 g

Question 5

8.3 kg = ? g

Using the information at the top 1 Kilogram (Kg) = 1000 Grams (g) so,

8.3 × 1000 = 8300 g

Question 6

135000 mg = ? g

Using the information at the top 1 Milligram (mg) = 0.001 Grams (g) so,

0.001 × 135000 = 135 grams

The answer is 120 have a great day.  Step-by-step explanation:

Answer:

The area of the pen would be 24 feet.

Step-by-step explanation:

6 multiplied by 4 is 24.

Answer:

24 feet squared

Step-by-step explanation:

the area of a rectangle = l x w

length = 6

width = 4

therefore, 4x6=24

Answer:

can u please add the statements.

Step-by-step explanation:

Answer:

1)

C. − 1

D. 2

2)

A. Distribute 4 to the quantity ( x+1).

B. Add − 8 to each side of the equation.

D. Multiply each side of the equation by 2

E. Subtract 12 from each side of the equation.

3)

[tex]f(x)=(r-x-s)^2+(r+s)[/tex]

4) The population of the city in the year 2000 was 50000. The population is decreases by 0.95 each year

Step-by-step explanation:

a) Given an equation:

ax² + bx + c = 0

The equation would have imaginary solutions if b² - 4ac is negative. That is:

b² - 4ac < 0

Given an equation: 3x²+2kx+2=0

a) If k = -5

a= 3, b = 2k = 2 × -5 = -10, c= 2

b² - 4ac = (-10)² - 4(3)(2) = 76 > 0

It would not produce imaginary solutions

b) If k = -3

a= 3, b = 2k = 2 × -3 = -6, c= 2

b² - 4ac = (-6)² - 4(3)(2) = 12 > 0

It would not produce imaginary solutions

c) If k = -1

a= 3, b = 2k = 2 × -1 = -2, c= 2

b² - 4ac = (-1)² - 4(3)(2) = -23 < 0

It would produce imaginary solutions

d) If k = 2

a= 3, b = 2k = 2 × 2 = 4, c= 2

b² - 4ac = (4)² - 4(3)(2) = -8 <0

It would  produce imaginary solutions

e) If k = 3

a= 3, b = 2k = 2 × 3 = 6, c= 2

b² - 4ac = (6)² - 4(3)(2) = 12 > 0

It would not produce imaginary solutions

f) If k = -5

a= 3, b = 2k = 2 × 4 = 8, c= 2

b² - 4ac = (8)² - 4(3)(2) = 40 > 0

It would not produce imaginary solutions

2)

A. Distribute 4 to the quantity ( x+1). to get:

1/2 x+12=8+4x+4

B. Add − 8 to each side of the equation. to get:

1/2 x+4=4( x+1)

C. Distribute 12 to the quantity ( x+1). This is not correct

D. Multiply each side of the equation by 2. to get:

x + 24 = 16 + 8(x +1)

F. Add together the 8 and the 4 on the right side of the equation. This is not correct

G. Multiply the left side of the equation by 2 to eliminate the fraction. This is not correct

3)

[tex]f(x)=x^2-2(r-s)x+(r-s)^2+(r+s)\\f(x)=x^2-2rx+2sx+r^2+s^2-2rs+r+s\\f(x)=x^2+r^2+s^2-2rs-2rx+2sx+r+s=(r-x-s)^2+(r+s)\\f(x)=(r-x-s)^2+(r+s)[/tex]

4) P( x )=50,000 ( 0.95 )^x, where x represents the number of years after the year 2000

At the year 2000, x = 0 therefore

[tex]P(x)=50000(0.95)^x=50000(0.95)^0=50000[/tex]

Since 0.95 is less than 1, it represent a population decay. 0.95 is the common ratio

The population is decreases by 0.95 each year

Answer:

C 36+ w= 3w+4; 16 pounds

Step-by-step explanation:

jason weighs 36

jason's sister weighs w

together they weigh 36+w

Then ,We can model the statement:

“together he and his sister weigh four pounds more than three times the weight of his sister”.

like this :

36+ w= 3w+4

Answer:

14.285% or 14.3% if rounded to the nearest one decimal place.

Step-by-step explanation:

4 ÷28 × 100

Answer:

THE GRASS

Step-by-step explanation:

Because the grass takes up a larger area

Answer:

30 cm²

Step-by-step explanation:

we need to find h

V=πr²h

h=V/πr²

h=210/14²π

h=0.341

then we found curved surface area

A=2πrh

A=2×π×14×0.341

curved surface are= 30 cm²

The right answer is 6.

Please see the attached picture for full solution.

Hope it helps...

Good luck on your assignment

Answer:

i believe the answer is 6

Step-by-step explanation:

comment if u want an explanation cus i cba to write one for no reason

Answer:

Step-by-step explanation:

1) first, lets rationalize the denominator by eliminating [tex]1+\frac{1}{\sqrt{2} }[/tex]

so multiply [tex]\frac{1}{1+\frac{1}{\sqrt{2} } }[/tex]  with the conjugate, [tex]1-\frac{1}{\sqrt{2} }[/tex]

we multiply with the conjugate (opposite) since we can take the conjugate and the original term in the form of (a+b)(a-b)= a^2-b^2, which would allow us to get rid of the square root:

so

(1+1/[tex]\sqrt{2}[/tex])(1-[tex]\frac{1}{\sqrt{2} }[/tex])=(1)^2-([tex]\frac{1}{\sqrt{2} }[/tex])^2

hence we are left with:

1-1/2= 0.5

0.5 is the denominator:

since conjugate is multiplied to both numerator and denominator:

for the numerator (1)([tex]1-\frac{1}{\sqrt{2} }[/tex])

is: 1-[tex]\frac{1}{\sqrt{2} }[/tex]

hence, [tex]\frac{1-\frac{1}{\sqrt{2} } }{0.5}[/tex]

so[tex]1-\frac{1}{\sqrt{2} }[/tex]

is 0.292893

so

0.292893/0.5= 0.058579

and 2-sqrt(2)= 0.058579

hence they both are equal

hope this helps!

Answer:

h=2

Step-by-step explanation:

8+h/10=1

multiply the 1 by 10

8+h=10

subtract 8 from 10

h=2

If the statement is true, the value of h = 2.

What is a statement?

Mathematical statement - a statement of a mathematical relation math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement equation - a mathematical statement that two expressions are equal.

What is true statement?

Students understand that an equation is a statement of equality between two expressions. When values are substituted for the variables in an equation, the equation is either true or false. Students find values to assign to the variables in equations that make the equations true statements.

Given,

(8+h)=10

given, the equation is true statement.

Therefore, 8+h = 10

h = 10 - 8

h = 2

To know more about true statement, visit:

https://brainly.com/question/17309546

#SPJ2

Answer:

D  36 degrees

Step-by-step explanation:

You add 65 degrees and 79 degrees together and get 144 degrees

The whole triangle is 180 degrees

So you take 180 - 144

and you get D, 36 degrees

Answer:

D.

Step-by-step explanation:

65º+79º+xº=180º

x=180º-65º-79º

x=115º-79º

x=36º

D.

Answer:

t = - 0.8

Step-by-step explanation:

9.75t -9.75t + 9 = 13.5t - 9.75t+ 12

9 = 3.75t +12

9 - 12 = 3.75t

- 3 /3.75= 3.75 t/3.75

- 0.8 = t

Answer:

∴ t= -0.8

Step-by-step explanation:

9.75t + 9 = 13.5t + 12

9.75t-13.5t=12-9

-3.75t=3

-t=3/3.75

-t=0.8

∴ t= -0.8

Hope this helps..Pls mark as Brainliest!!

Answer:

- ²⁾4/7 = - 8/14

⁷⁾1/2 = 7/14

- 8/14 < - 9/14 < - 12/14 < 3/14 < 5/14 < 7/14

al3xis

Answer:

y-13

Step-by-step explanation:

y-3/3+12

because of order of ops you do 3/3 first

y-1+12

1+12 is 13 so

y-13

Answer:

image attached

Step-by-step explanation:

see attached

Answer:

4/9*pi or 1.395

Step-by-step explanation:

We have that area of the circle, that 4 * pi, we can calculate the radius of the circle, knowing that:

A = pi * r ^ 2

replacing:

4 * pi = pi * r ^ 2

r ^ 2 = 4 * pi / pi

r ^ 2 = 4

r = 2

Therefore, knowing the radius, we can calculate the perimeter:

P = 2 * pi * r

replacing:

P = 4 * pi

That is the perimeter of the whole circle, that is to say 360 °, therefore for 40 ° it would be:

4 * pi * 40 ° / 360 ° = 4/9 * pi

That is to say that the perimeter of the sector of 40 ° is 4/9 * pi, if pi is 3.14 it would be:

4/9 * 3.14 = 1.395

Answer:

good luck

Step-by-step explanation:

Answer: Oysx-1

Step-by-step explanation:

I did same thing and got it right.

Answer:

tanθ = [tex]\frac{8}{15}[/tex]

Step-by-step explanation:

By applying tangent rule in the given right triangle ROE,

tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tanθ = [tex]\frac{RO}{OE}[/tex]

tanθ = [tex]\frac{8}{15}[/tex]

Therefore, answer will be tanθ = [tex]\frac{8}{15}[/tex]

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

Since there is a common difference in each successive term and previous term of y,

[tex]y_{2}-y_{1}=-9-(-6)[/tex]

           = -3

[tex]y_{3}-y_{2}=-12-(-9)[/tex]

           = -3

Therefore, this data represents a linear equation.

Now we choose two points from the table given.

Let the points are (0, -6) and (1, -9)

Slope of this line 'm' = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m = [tex]\frac{-9+6}{1-0}[/tex] = -3

Y-intercept 'b' = -6

Equation of the line will be,

y = -3x - 6

Option (2) will be the answer.

Answer: 78 %

Step-by-step explanation:

Sales - cost = profit

712-400 = 312

As a percentage 312/400 * 100= 78

Answer:

78%

Step-by-step explanation:

712 -400 = 312

312/400 x 100 = 78

Answer:

The answer for this question is Quadrant III

Hey!!!!

(-3,12) lies in Quadrant II.

please see the attached picture.

Hope it helps...

Good luck on your assignment...

Stay safe..

Answer:

-3 or (-3,0)

Step-by-step explanation:

When graphed the line 2x-y=-6 intersects the x-axis at the coordinate (-3,0)

Answer:

-[tex]\frac{7}{2}[/tex] or -3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1/2 ÷ -1/7

1/2 × -7

-7/2