show your work
21 = −7n

Answer:

x = 45°

Step-by-step explanation:

The total measurement is 360° (the measurement of a circle).

Set the equation. Set all measurements equal to 360:

228 + (x + 29) + (x + 13) = 360

Combine like terms:

228 + 29 + 13 + 2x = 360

2x + 270 = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to other. Do the opposite of PEMDAS. First, subtract 270 from both sides:

2x + 270 (-270) = 360 (-270)

2x = 360 - 270

2x = 90

Next, divide 2 from both sides of the equation:

(2x)/2 = (90)/2

x = 90/2

x = 45

x = 45° is your answer.

~

Answer:

3pi/4 and -pi/4

Step-by-step explanation:

We can simplify -6/6 to -1.

Therefore, this function can be simplified to arctan(-1).

Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.

Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.

If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.

If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.

Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.

A Potential Answer:

One thing that has kept me from saving in the past is my confusion of my "wants" and "needs". An outcome of this is me constantly spending money on things that aren't necessary instead of buying things that are useful. An example of this is when I went to the store and decided to buy expensive band merchandise, as well as my groceries. If I hadn't bought the band merchandise, I could have saved $30. To fix this, I started to work on my self-control and budget management.

I hope this helped!

Good luck <3

Answer:

200 - 20 - 30 + 40

Answer:

its 499 i just did it and double checked a bunch

Step-by-step explanation:

I put it into omy graphing calculator also

Answer:

x = 23

DBC = 23

ABC = 157

Step-by-step explanation:

angles ABC and CBD are supplementary.

supplementary angles add up to 180.

you can make the following equation

6x + 19 + x = 180

7x + 19 = 180

7x = 180 - 19

7x = 161

x = 161/7

x = 23

substitute x into the equations

DBC = x

DBC = 23

ABC = 6x + 19

ABC = 6 * 32 + 19

ABC = 138 + 19

ABC = 157

Answer:

90 m

Step-by-step explanation:

65 km = 65000m

1 hour = 3600 secs

speed in meters = 65000/3600

= 18 m / sec

Distance traveled in 5 secs = 18*5

= 90 m

Answer:

B my friend

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

because if he earned 12 dollars and it equals 32 dollars he would have 20

Ken had $40 then spent $20 on a game he now has $20 left then he earns $12 mowing lawn and now has $32.

Ken had $40 before he bought the game

Answer:

16

Step-by-step explanation:

If Ken has 64 pens and is putting them into bags then 64 divided by 4 will give you the amount of times that 4 can be separated by, which is your bags

5 or 1/2 since it's numerator and denominator are integers

The answer to the problem is [tex]\frac{1}{6}[/tex]

First, you must set up the equation.

[tex]-\frac{4}{9}*-\frac{3}{8}[/tex]

Then, you must cross multiply.

[tex]\frac{-12}{-72}[/tex]

Finally, simplify the fraction.

[tex]\frac{1}{6}[/tex]

Answer:

  с  60,800,000

Step-by-step explanation:

Any scientific or graphing calculator can evaluate this expression for you.

__

When adding numbers in scientific notation, they need to have the same multiplier exponent. Here, it is convenient to use 10^6:

  8.0×10^5 = 0.8×10^6

  6.0×10^7 = 60×10^6

Then the sum is ...

  (0.8 +60)×10^6 = 60.8×10^6 = 60,800,000

Answer:  D) a+bi

Where both a and b are real numbers.

In your textbook, you might see [tex]a,b \in \mathbb{R}[/tex] to indicate that they are real numbers.

An example would be 7+13i, where a = 7 and b = 13.

Answer:the answer is perimeter

Step-by-step explanation:

Answer:

Okay I think these are the answers for the Static blurs in the passage the principal reads

Good morning students, teachers, and staff! The teachers have joined the school fundraiser. They will be selling books for summer reading. They have a set goal of 360 dollars.

This is 210 dollars more than the 8th graders, but only [tex]\frac{4}{5}[/tex] as much as the 7th graders. For every 60 dollars the teachers plan to raise, the 6th graders plan to raise 50 dollars

The reason why the teachers goal is $360 is because on page 12 on the graphs it says that the teachers goal is $360, now thats big brain thinking

The teachers goal is 210 dollars more than the 8th graders because 360 - 150 = 210. It is also [tex]\frac{4}{5}[/tex] of the 7th graders goal because 6th graders plan to raise 50 dollars because $60*6=360 and $50*6 is $300. 6 is the common multiple of of 50 and 60

50, 100, 150, 200, 250, 300

60, 120, 180, 240, 300, 360

Boom.

For B you can say

1. The 6th grades' goal is more than the 8th graders goal

2. The 7th grades' goal is more than the 6th and 8th

3. The 8th grades' goal is [tex]\frac{1}{2}[/tex] of the 6th grades' goal

C I think the teachers goal is 360

I hope this helps you! I'm sorry it took long but it is worth it when helping others.

Answer:

Step-by-step explanation:

Given

We can see that

Then, we substitute g(x) with x to get

Answer:

A. Eva

Step-by-step explanation:

Given that

The entire school, 250 students, went to the soap box derby.2 vans went to soap box derby and each van held 6 students.

To find the total number of students from the Math Club who went to the soap box derby, we need to add the number of students in each van, the number of times equal to the number of vans.

i.e. by adding 6 (i.e. number of students in each van) 2 (number of vans )number of times, we can get the number of students from Math Club who went to the soap box derby.

Number of Math Club students who went to the soap box derby = 6 + 6 = 12

OR

Simply, multiply number of students in each van with the number of vans .

6 [tex]\times[/tex] 2 = 12

Therefore, Eva is correct about the calculations.

Answer:

$26

Step-by-step explanation:

15 * 2= 30

30-4= 26

Answer:

The height of the building is 156.42 m

Step-by-step explanation:

Given;

mass of the ball, m = 0.66 kg

time of fall, t = 5.65 s

initial velocity of the ball, u = 0

Apply the following kinematic equation to determine the height of the building;

h = ut + ¹/₂gt²

h = ¹/₂gt²

h = ¹/₂ x 9.8 x 5.65²

h = 156.42 m

Therefore, the height of the building is 156.42 m

The building was 156.42 metres tall

From the question we are told that

the mass of the ball, m = 0.66 kg

the time of fall, t = 5.65 s

the initial velocity of the ball, u = 0

If we use one of the equations of motions in

h = ut + ¹/₂gt², we then have

h = (0 * t) +  (0.5 * 9.8 * 5.65²)  

h = 4.9 * 31.923  

h = 156.42 m

The height of the building is 156.42 m

see more about equation of motion here https://brainly.com/question/16878713

Answer:

3604

Step-by-step explanation:

Step 1: Define

5b · 20b + 4

b = 6

Step 2: Simplify

100b² + 4

b = 6

Step 3: Substitute and Evaluate

100(6)² + 4

100(36) + 4

3600 + 4

3604

Answer:

3604

Step-by-step explanation:

I hope this helps!

Answer:

Jake has 11 hens

Step-by-step explanation:

It says in the question, all but 11 hens died. This means the rest died, but 11 are still alive.

Answer:

He has 11 hens.

Step-by-step explanation:

Answer:

Yes it represents a proportional relationship

Step-by-step explanation:

If you use the Vertical Line Test they don't hit 2 lines at the same time, instead they hit 1, therefore its proportional.

Answer:

This graph does not represent a proportional relationship because it is not a straight line, and the line does not pass through the origin.

Step-by-step explanation:

A) There are 12 kids on each team.

B) The 6 leftover students will probably be put on the teams as substitutes; if someone gets hurt or can't make it to the game, one of the substitutes play for them.

Answer:

false

Step-by-step explanation:

Answer:

The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals.

Step-by-step explanation:

All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.

Answer:

75 percent

Step-by-step explanation:

18 times 24 times 100 percent is 75