Four friends attend a school play and pay $6.75 per ticket. Each also buys a Healthy Snack Bag sold by the Theater Club. If the friends spent a total of $37.00, how much did each Healthy Snack Bag cost, b? Write and solve an equation. (sorry about the wrong grade btw)

Answer:

Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

x = 20

Angle B = 30°

Step-by-step explanation:

Given:

<A = 5x + 20

<B = 3x - 30

<C = 2x + 10

<D = 8x

Sum of interior angles of a quadrilateral = 360°

Therefore:

<A + <B + <C + <D = 360°

(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360

Solve for x

5x + 20 + 3x - 30 + 2x + 10 + 8x = 360

Collect like terms

5x + 3x + 2x + 8x + 20 - 30 + 10 = 360

18x = 360

Divide both sides by 18

x = 360/18

x = 20

<B = 3x - 30

Plug in the value of x

<B = 3(20) - 30 = 60 - 30

<B = 30°

Answer:

x=24

Step-by-step explanation:

2/3x+7=23

2/3x=16

x=24

Answer:

About 0.95

Step-by-step explanation:

Answer:

0.9514859136

Step-by-step explanation: I use calculator lol

Answer:

Step-by-step explanation:

Actual question is:

Solution:

If we assume f = 4, then

but log4 4 = 1

Therefore the statement is False

The measure of x is 115° from the given parallel lines. Therefore, option D is the correct answer.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Let the interior alternate angle to 65° be y.

Now, y=65°  (Alternate interior angles are equal)

Here, y°+x°=180° (Adjacent angles)

65°+x°=180°

x°=115°

Therefore, option D is the correct answer.

To learn more about the alternate interior angles visit:

brainly.com/question/28380652.

#SPJ7

Answer:

0.72

Step-by-step explanation:

it doesn't exist

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

..........

Step-by-step explanation:

Answer:

The average speed of the car is 90 km/h

Step-by-step explanation:

The rule of the distance id D = v × t, where

∵ A car can travel 450 km in the same time it takes a train to travel

   350 km

→ That means the time of them are equals

∴ Time of the car = Time of the train

→ From the rule above t = [tex]\frac{D}{v}[/tex]

∵ D(car) = 450 km and D(train) = 350 km

∵ The car's average speed is 20 km/h faster than the average speed

   of the train

→ Assume that the average speed of the train is x km/h

∴ v(train) = x km/h and v(car) = (x + 20) km/h

→ Use the rule of the time above to find the time of each one

∵ t(car) = [tex]\frac{450}{(x+20)}[/tex]

∵ t(train) = [tex]\frac{350}{x}[/tex]

∵ t(car) = t(train)

∴ [tex]\frac{450}{(x+20)}[/tex] =  [tex]\frac{350}{x}[/tex]

→ By using cross multiplication

∵ 450 × x = 350 × (x + 20)

∴ 450x = 350(x) + 350(20)

∴ 450x = 350x + 7000

→ Subtract 350x from both sides

∴ 100x = 7000

→ Divide both sides by 100 to find x

∴ x = 70

∵ x represents the average speed of the train

∴ The average speed of the train = 70 km/h

∵ The average speed of the car = x + 20

∴ The average speed of the car = 70 + 20

∴ The average speed of the car = 90 km/h

Answer:

t = 8/5

Step-by-step explanation:

I'm assuming the equation given is the velocity of the particle

Derive the equation

[tex]5t^4 - 8t^3[/tex]

Set it equal to 0 & solve for t

[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]

The value of time at which acceleration is zero is required.

The required value of [tex]t=1.2\ \text{s}[/tex]

The function of motion is

[tex]s=(t)^5-2t^4[/tex]

Differentiating with time we get velocity

[tex]s'=5t^4-8t^3[/tex]

Again differentiating with time we get acceleration

[tex]s''=20t^3-24t^2[/tex]

Now acceleration [tex]s''=0[/tex]

[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]

Learn more:

https://brainly.com/question/10717492

https://brainly.com/question/16053751

Answer:

1

Step-by-step explanation:

0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0

Answer:The LCM of 4, 8 and 12 is 24.

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).

Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).

Answer:

Step-by-step explanation:

3/4=15/20  are proportions

For every 3 you get a 4

So 5*3= 15 and 5*4=20

25/10 = 5//2 is another one.

Answer:

25/10 = 5/2

3/4 =15/20

Step-by-step explanation:

Answer:

BRUH THIS WAS ON MY TEST AND BRUH HONESTLY I HAVE NO CLUEE

Answer:

A

Step-by-step explanation:

Answer:

Boi what?

Step-by-step explanation:

This is not a proper question. You need to include more information

Answer:

1412

Step-by-step explanation:

2*(3 - 13) + 1442 - (5 * 2)

Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.

6 - 26 + 1442 - 10

Now simplify the expression by adding and subtracting the terms.

1412 is the answer.

#teamtrees #WAP (Water And Plant)

Answer:

90°

Step-by-step explanation:

angle on a straight line=180 and half of 180=90°

Answer:

67.5°

Step-by-step explanation:

You know the long hand would be at number 9 and you also know that from the number 6 to 9 it would be 90°. Between each number, there are also 5 smaller marks on the clock. Thus, for 90°, there would be 5×3=15 smaller marks. (I used 3 because between 6 and 9 there are 3 big numbers)

Now here's the trickier part: There are 60 minutes within 5 small marks. We can find out at which mark does the shorter hand move to at 45 minutes.

[tex]\frac{45}{60}[/tex]×5 = 3.75

Out of the 15 smaller marks of 90°, the 45th minute stands at 3.75. The angle of 3.75 would then be between the 15th mark and the 3.75th mark. The gap would be 15-3.75 = 11.25 marks.

[tex]\frac{11.25}{15}[/tex] ×90° = 67.5°

You can refer to the picture for better visualisation of the clock. Hope this helps.

Answer:

1.3245

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 times 4 is 20 divided by 2 is 10 hope this helps

Answer:

A) 4x+12y

B) 2(2x+6y) is one way to do it

Step-by-step explanation:

1+1+2 is 4 and 12y cannot be added to anything.

2 x 2 is 2 ans 6 x 2 is 12

Answer:

(-2, 6)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

4x - 2y = -20

7x + 2y = -2

Step 2: Rewrite systems

4x - 2y = -20

Step 3: Redefine systems

x = 1/2y - 5

7x + 2y = -2

Step 4: Solve for y

Substitution

Step 5: Solve for x

Step 6: Graph systems

Check the system.

Answer:

Step-by-step explanation:

Simplifying

-14 + 1 = rt + -4n

Combine like terms: -14 + 1 = -13

-13 = rt + -4n

Reorder the terms:

-13 = -4n + rt

Solving

-13 = -4n + rt

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4n' to each side of the equation.

-13 + 4n = -4n + 4n + rt

Combine like terms: -4n + 4n = 0

-13 + 4n = 0 + rt

-13 + 4n = rt

Add '13' to each side of the equation.

-13 + 13 + 4n = 13 + rt

Combine like terms: -13 + 13 = 0

0 + 4n = 13 + rt

4n = 13 + rt

Divide each side by '4'.

n = 3.25 + 0.25rt

Simplifying

n = 3.25 + 0.25rt

Answer:

n = [tex]\frac{rt-q}{-10}[/tex]

Step-by-step explanation:

your equation is -14n+q = rt-4n

subtract q from both sides: -14n = rt - 4n - q

add 4n to both sides: -10n = rt - q

divide both sides by -10: n = [tex]\frac{rt-q}{-10}[/tex]

Answer:

C

Step-by-step explanation:

Answer:

.2427

Step-by-step explanation:

If you don't need to show your work:

TI84 calculator:[2nd][vars][normalcdf][lower:2000][upper:2500][μ:1800][σ:300}[enter][enter]

Answer: 36 + 4d

Step-by-step explanation:

so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.

Step-by-step explanation:

distance must positive

so, 25-12

=13