There are 32 females cast in the school play. The ratio of male roles is 3:8. How many males are cast in the school play

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x

Answer:

[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]

Step-by-step explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50             [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25           [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]

Answer:

the second one, the one that is already highlighted is correct.

Step-by-step explanation:

she divided it up among them so 20 over x shows division

9514 1404 393

Answer:

  a = 57.5

  b = 90

  c = 65

Step-by-step explanation:

The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°

__

The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.

__

The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.

  (a, b, c) = (57.5, 90, 65)

Answer:

The expected value of the sum of three numbers chosen out of 10 numbers will be 16.5.

Step-by-step explanation:

Felicia has a stack of 10 cards with number 1,2,3,4,5,6,7,8,9,10

Selecting 3 cards out of 10

10C3 = 120

Now she picks three cards to look at their numbers and sum it up

The possible three numbers are

(1 2 3), (1 3 2), (2 1 3) ,(2 3 1), (3 1 2), (3 2 1) ,(1 2 4), (1 4 2), (2 1 4), (2 4 1),

(4 1 2)│(4 2 1), (1 2 5), (1 5 2)│(2 1 5), (2 5 1) ,(5 1 2), (5 2 1), (1 2 6), (1 6 2), (2 1 6), (2 6 1), (6 1 2) ,(6 2 1) ,(1 2 7), (1 7 2) ,(2 1 7), (2 7 1), (7 1 2), (7 2 1), (1 2 8), (1 8 2), (2 1 8) ,(2 8 1), (8 1 2) ,(8 2 1), (1 2 9), (1 9 2), (2 1 9), (2 9 1), (9 1 2), (9 2 1),

(1 2... …, (6 10 8), (8 6 10), (8 10 6), (10 6 8), (10 8 6), (6 9 10), (6 10 9), (9 6 10),

(9 10 6), (10 6 9), (10 9 6), (7 8 9), (7 9 8), (8 7 9), (8 9 7), (9 7 8), (9 8 7), (7 8 10),

(7 10 8), (8 7 10), (8 10 7), (10 7 8), (10 8 7), (7 9 10), (7 10 9), (9 7 10), (9 10 7),

(10 7 9), (10 9 7) , (8 9 10), (8 10 9), (9 8 10), (9 10 8), (10 8 9), (10 9 8)

Now we sum it all up so minimum sum can be 1+2+3 = 6 andthe maximum can be 8+9+10 = 27

Let S denote the sum of the three numbers that are chosen and P(S=k) denotes its probability

P(S=6)=1/120  

P(S=7)=1/120

P(S=8)=1/60

P(S=9)=1/40

P(S=10)=1/30

P(S=11)=1/24

P(S=12)=7/120

P(S=13)=1/15

P(S=14)=3/40

P(S=15)=1/12

P(S=16)=1/12

P(S=17)=1/12

P(S=18)=1/12

P(S=19)=3/40

P(S=20)=1/15

P(S=21)=7/120

P(S=22)=1/24

P(S=23)=1/30

P(S=24)=1/40

P(S=25)=1/60

P(S=26)=1/120

P(S=27)=1/120

Now adding all the sum in order to get the expected value

∑(K=6 to 27) k*P(S=k) = 33/2 = 16.5

Therefore the expected value of the sum is 16.5.

Answer:

Sure, I can try to help.

Step-by-step explanation:

Answer:

The discrimination is positive

Step-by-step explanation:

The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.

Since parabola has two x-intercepts, then the equation  has two different solutions and the discriminant is greater than 0.

Answer:

1/3 of your math problems need to be completed on Sunday if you did 2/3 on Saturday.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

You already did 2/3 on Saturday. So what left to do on Sunday in order to finish your homework is 1/3 more.

Answer:

Step-by-step explanation:

3 x 4 - 5

= 7

The required output of the given function at x = 4 is given as f(x) = 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To evaluate output from the function f(x) = 3x - 5, at x = 4 we must put the value of x in the function:
f(4) = 3(4) - 5
f(4) = 7

Thus, the required output of the given function at x = 4 is given as f(x) = 7.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

Answer: Few phrases make me cringe the way I do when I hear, “Ours is not to reason why; just invert and multiply.” A student’s job in math class is to reason, and a teacher’s job is to help the students see that math makes sense. Understanding division of fractions is complicated, bringing together many ideas that build up to a method that makes sense, especially in the tricky case of a fraction divided by a fraction. Liping Ma writes about research asking teachers to explain what it means to divide by a fraction. Most U.S. teachers were startled to find how difficult this was for them. What if we start with the simpler case of a whole number divided by a fraction?

Answer:

equation

Step-by-step explanation:

obviously!

Answer: 7

Step-by-step explanation:

3x (4 - 2) + 1

3x (2) + 1

6 + 1

7

Answer:

d=-30

Step-by-step explanation:

Answer:-30

Step-by-step explanation: To find your answer, we can multiply 5 and -6 to figure out what divided by 5 equals. We then get our answer. -30

i really dont know but good luck

Answer:

8x + 12 + 2x + 28 = 180

x = 14

Step-by-step explanation:

8x + 12 + 2x + 28 = 180

8x + 2x + 12 + 28 = 180

10x + 40 = 180

      -40      -40

10x  = 140

10        10

x = 14

any more help just ask :)

Answer:

-1/4xy+y=0

Step-by-step explanation:

Answer:

The number is 3

Step-by-step explanation:

6 + 9n = 33

-6           -6

9n        = 27

÷9           ÷9

n           = 3

Answer:

[tex]\boxed {\boxed {\sf 682}}[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

[tex]a_n=a+d(n-1)[/tex]

where a is the first term, d is the common difference, and n is the term.

First, we should find the common difference.

We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.

[tex]d= a_2-a_1[/tex]

The second term is 25 and the first is 16.

[tex]d= 25-16[/tex]

[tex]d=9[/tex]

Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.

[tex]d=9 \\a=16 \\n= 75[/tex]

Substitute the values into the formula.

[tex]a_{75}=16+9(75-1)[/tex]

Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

Solve the parentheses first.

[tex]a_{75}=16+9(74)[/tex]

Multiply next.

[tex]a_{75}=16+666[/tex]

Finally, add.

[tex]a_{75}=682[/tex]

The 75th term in the sequence is 682.

Answer: The answer is B, 3.6 < 37/10

Answer: I believe that your answer is B.

37/10 is greater than 3.6.

I hope I helped you!

Answer:

B.) 10 cm squared

Step-by-step explanation:

Answer:

x = - 2

Step-by-step explanation:

Step 1:

-2 ( x + 11 ) = - 18         Equation

Step 2:

- 2x - 22 = - 18       Multiply

Step 3:

- 2x = 4       Add 22 on both sides

Step 4:

x = 4 ÷ - 2

Answer:

x = - 2

Hope This Helps :)

Answer:

30.40/3.2=9.5 so he pays $9.50 per ounce of steak

Step-by-step explanation:

Answer:

B is the answer foks thanks for looking

Step-by-step explanation:

They looked around and then rushed toward each other.  A cry of alarm surged through Tompkins Square Park.  Was this a fight to the death instead of a boxing match?

 The fear soon gave way to wave upon wave of cheering as the two amigos embraced.

 No matter what the decision, they knew they would always be champions to each other.

(continued)

Based on the passage, how do the boys resolve their conflict?

They decide to fight to the death.

They decide not to care who the winner is.

They decide to fight a rematch.

They decide to end their friendship.

Answer:

b

Step-by-step explanation:

Answer:

you save $12 by buying the sweater on sale

Step-by-step explanation:

Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

Answer:

the equation is y=-x+8