A teacher spends $354 on costumes and microphones for six cast members in a play. Each cast member receives a costume that costs $38 and a microphone that costs $c What did the teacher spend on each microphone? The teacher spent $ ___on each microphone. Question 2 Justify your answer.

Answer:

Midpoint: [tex](\frac{3}{2} ,0 )[/tex]

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Step 1: Define variables

x₁ = 7

x₂ = -4

y₁ = -2

y₂ = 2

Step 2: Plug into midpoint formula

[tex](\frac{7-4}{2} ,\frac{-2+2}{2} )[/tex]

Step 3: Simplify/Evaluate

[tex](\frac{3}{2} ,\frac{0}{2} )[/tex]

[tex](\frac{3}{2} ,0 )[/tex]

Answer:

x²- √3 x +1/2

Step-by-step explanation:

To write a quadratic equation with roots only:

x² -(sum of the roots)x+(product of roots)

x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)

x² -(2√3)/2 + ( 9-1)/4

x²- √3 x +1/2

Step-by-step explanation:

Hey there!!!

Here,

The point is, (-3,1).

Using one point formula.

(y-1)= m(x+3)....1st equation.

It has said that it is also perpendicular to the line y = 1/3x + 2 .......2nd equation.

Now, the equation with y = mx + c.

We get slope (m2) = 1/3.

Now,

As per the condition of perpendicular lines,

[tex]m1 \: \times m2 = - 1[/tex]

[tex]m1 \times \frac{1}{3} = - 1[/tex]

Simplifying them we get,

m1 = -3.

Therefore the slope is -3.

Hope it helps...

Answer:

x>6;x>2 or just x>2 if u combine intervals

Step-by-step explanation:

x^2-8x+12>0

factor: (x-6)(x-2)>0

split: x-6>0; x-2>0

add 6 and 2: x>6;x>2

combine intervals: x>2

Answer:

no

Step-by-step explanation:

its just like a positive number + a positive number cannot equil a negitive number.

Answer:

Statement: 60 = 3x + 15; Reason: substitution

(aka A)

Step-by-step explanation:

The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

Here,

We have to find the missing statement and missing reason.

What is Substitution method?

Substitution method is algebraic method to solve the linear equations .

Now,

Column 1 and column 2 are labeled here as;

Angle A D E = 60 degrees                ( entries given)

Angle C D F = (3 x + 15) degrees

Angle A D E and Angle C D F are vertical angles.  (definition of vertical angles)

Angle A D E is-congruent-to Angle C D F.  ( definition of congruency)

Measure of angle A D E = Measure of angle C D F.

⇒  60 = 3x + 15      ( substitution )

⇒  45 = 3 x            ( subtractive property )

⇒  15 = x             ( division property )

Hence, The missing statement and the missing reason in step 5 is;

Statement: 60 = 3x + 15;   Reason: substitution

Learn more about the substitution method visit:

https://brainly.com/question/26094713

#SPJ2

Hey there! I'm happy to help!

Order of operations is PEMDAS. Parentheses comes first.

(-4+2)=-2

So, now we have -5-(-2)2

The next available option is multiplication.

-5-(-4)

Now we do addition and subtraction.

-5+4

-1.

Have a wonderful day! :D

Hey there! I'm happy to help!

Numbers with the same variable and exponent are like terms and can be simplified.

[tex]2y^5+4y^5=6y^5[/tex]   (variable is y, exponent is 5)

[tex]-3y^3-5y^3=-8y^3[/tex] (variable is y, exponent is 3)

So, our final simplified form is [tex]6y^5-8y^3[/tex].

Have a wonderful day! :D

answerers about Caca Andika from Indonesia

Answer:

Hey there!

6x+1+3=8x+1

6x+4=8x+1

6x+3=8x

3=2x

x=1.5

6(1.5)+1

10

SR is 10 units long.

Let me know if this helps :)

Answer:

x = -3.3333333

y = -2.666666

Step-by-step explanation:

y = 1/2 x - 1

y = 2x + 4 The second equation has the 2x moved to the right side. The y's must be equal so equation the two equations.

1/2x -1 = 2x + 4             Subtract 1/2x from both sides.

-1 = 2x - 1/2 x + 4          Combine

-1 = 1.5x + 4                   Subtract 4 from both sides

-1 - 4 = 1.5x

- 5 = 1.5x                       Divide both sides by 1.5

-5/1.5 = x

x = - 3.333333

Now put x = - 3.333333 into either one of the two given equations. The first one will require one less step, but it does not matter.

y = 1/2 (- 3.3333333) - 1

y = - 1.6666666 - 1

y = -2.6666666

Division first:

-2/5 / 8/15

When dividing two fractions flip

The second one over and multiply:

-2/5 x 15/8 = (-2x15)/(5x8) = -30/40 = -3/4

Now you have:

2-3/4-3/4

2-3/4 = 1 1/4

1 1/4 - 3/4 = 1/2

The answer is 1/2

Answer:

Hey there!

g(x) is 4x-1

f(g(x) is f(4x-1)

f(4x-1)=2(4x-1)-5

f(4x-1)=8x-2-5

f(4x-1)=8x-7

The answer is 8x-7

Let me know if this helps :)

Answer:

So this is scientific notation what you do is

2.9x10^5 so you put however many zeros the is powered to 10. See there is a 5 It has to be behind or in front of the decimal you might be saying how do you know if its behind or in front well negative is in front and positive is behind .

290,000 there was a number already behind the decimal so there you go 5 number behind the decimal.  

Same for the second one

290,000  870,000 is your answers so now you add hem together

1,160,000 is your final answer

Step-by-step explanation:

Answer:

15/32 or 0.46875

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

100

Step-by-step explanation:

Think of the absolute of a number as the distance from that number to zero on the number line. The distance from 100 to 0 on the number line is 100, so absolute value of 100 is 100. Notice that -100 is also at a distance of 100 from zero, so |-100| = 100.

|100| = 100

Answer: c

Step-by-step explanation:

Answer:

Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.

Step-by-step explanation:

11+1=12

Answer:

990 that's the answer .

Answer:

990

Step-by-step explanation:

Answer: You should deposit about $17014 or little more

Step-by-step explanation:

use the compound interest formula.

A= p( 1 + r/n)^nt

Where A is the amount you will save over some  years .

p is the principal or start up  amount mostly known as the initial fee.

r is the interest rate represent by a decimal so 7% will be 0.07.

n is the number of times the interest is being applied annually. Semiannually means  twice.  So n will be 2.

T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.

24,000 = p( 1 + 0.07/2)^2*5

24,000= p( 1 + 0.035)^10

24000 = p( 1.035)^10

24000 = p( 1.41059876062)  Divide both sides by 1.41059876062

p = 17104  

Which means you should deposit about $17014 or little more

Answer:

Step-by-step explanation:

1/2

Answer:4

Step-by-step explanation:

Answer:

823516

Step-by-step explanation:

hope this helps

Answer:

7^7 times -3^3, or -22235661

Step-by-step explanation:

Step-by-step explanation:

[tex] \huge \: K = \frac{1}{2} m {v}^{2} \\ \\ \huge \: 2 K =m {v}^{2} \\ \\ \huge \purple{ \boxed{m = \frac{2 K}{ {v}^{2} } }}[/tex]

Answer:

x=30

Step-by-step explanation:

Answer:

- 6x

Step-by-step explanation:

Step 1:

- 5x - x

Answer:

- 6x

Hope This Helps :)

- 6x

Step 1:   - 5x - x

Answer:  - 6x

Answer: t=-5

Step-by-step explanation:

if 10t=-50, you have to solve for the equation. to solve, you have to get the variable by itself. to get the variable by itself, you have to divide both sides by 10. 10t/10=-50/10. t=-5

Answer:

wouldnt it be 4,4?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Calculate the distance between two points by filling in the x and y values of both coordinates. How do you find the distance between two points? Distance Formula : Example: For two points, (3,2) and (15, 10) the distance is calculated as: Distance = 14.42 (rounded to the nearest 100th)