At a concert, 20% of the audience were teens. If the number of the teens were 360, What was the total number of people in the audience?

Answer:

x = 21

Step-by-step explanation:

[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]

The value of x and y are 21 and 20 degrees respectively.

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

WE are given two adjacent angle (5y + 10) and (3x + 7)º

These angles make a linear pair so,

(5y + 10) + (3x + 7)º = 180

Also, we can see that angle Y and  (3x + 7)º lies on a straight line then;

y +  (3x + 7)º + 90 = 180

(3x + 7)º = 180 - 90 - y

(3x + 7)º = 90 -y

Now replace  (3x + 7)º by 90 - y in the first equation.

(5y + 10) + (3x + 7)º = 180

(5y + 10) + (90 - y )º = 180

Finally, simplify;

4y + 100 = 180

4y = 80

y = 20

Now, (3x + 7)º = 90 -y =90 - 20

(3x + 7)º =  70

3x = 70 - 7

3x = 63

x = 21

Hence, the value of x and y are 21 and 20 degrees respectively.

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Answer:

60%

Step-by-step explanation:

yes

Answer:

5%

Step-by-step explanation:

The contestant lost 15lbs. 10% of 300 is 30. Split both of those in half and 15 is 5% of 300.

Answer:

26 trees

Step-by-step explanation:

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?

Given:

b + 2c + 3j

Where,

b = number of hours Ben spends chopping

c = number of hours Cam spends chopping

j = number of hours Justin spends chopping

Substitute the below into the given expression

b = 8 hours

c = 3 hours

j = 4 hours

b + 2c + 3j

= 8 + 2(3) + 3(4)

= 8 + 6 + 12

= 26 trees

They chopped down 26 trees altogether

Answer:

lol can I get pic of the question

Answer:

216$

Step-by-step explanation:

Answer:

41.2%

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]

So the percentage increase was 41.2%

Answer:

no solution

Step-by-step explanation:

Answer:750 divided by 3

Step-by-step explanation:

I belive it is assets

Answer:

its losing 60 gallons an hour

Step-by-step explanation:

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

[tex]x+y\leq 13[/tex]

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

[tex]4x+7y\geq 65[/tex]

Number of hours can not be negative.

[tex]x\geq 0, y\geq 0[/tex].

Therefore, the required system of inequalities contains some equations,  [tex]x+y\leq 13,4x+7y\geq 65[/tex] and [tex]x, y\geq 0[/tex].

Answer:

23/12 hours or 1.9167 hours

Step-by-step explanation:

We are told that Sam can clean the pool in 5 hours. This implies 1:5

Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7

Since it's the same pool, let's generate a workrate formula.

Thus;

(1/5)x + (1/7)x = 1

Where x is the amount of time used by both of them to clean 1 pool

Simplifying it, we multiply each term by 35 to get;

7x + 5x = 35

12x = 35

x = 35/12

We are now told that One day Sam

started to clean the pool by himself and worked for an hour.

Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours

Thus, time they both used to finish cleaning the pool is 23/12 hours

Answer:

x - 6

Step-by-step explanation:

(4x2 + x - 5) - (5x2 - 1)

According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.

Then we do the multiplication because it comes before addition and subtraction.

4x2 = 8

Now we have 8 + x - 5

Combine like terms and 8-5=3 so we have 3 + x

Now for the second one.

5x2=10

10-1=9

Subtracting this from the first expression we have:

3+x-9 =

x - 6

==========================================

Work Shown:

c+0.35c = 1c+0.35c = (1+0.35)c = 1.35c

We can think of the increase of 35% as equivalent to 135%, since 100% + 35% = 135%, then we can convert 135% to its decimal form getting 1.35

In other words, if you increase the price by 35%, then the new price is 135% of its old one

new price = 135% of old price

new price = 1.35*(old price)

Multiply the numbers:

-2 x 3 x -7 = 42

The the letters x time x = x^2

Y x y = y^2

Now combine for final answer:

42x^2y^2

Answer:

the second one X=3

the third X=4

Answer:

24 x 8 = 192

(3+5) + 2 = 2(3+2)

3^4 ( 3 with the exponent of 4

Step-by-step explanation:

192 divided by 8 is 24.

3 + 5 + 2 is 10 so just have to put 3 in the box so that equals 10

there is 4 threes so it’s 3 with the exponent of 4

He could get  25 heads out of the 50 times but the percentage of happening that is very narrow.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."

To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:

The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.

Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.

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Answer:

B, A vertical translation of 2 units.

Step-by-step explanation:

Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!

Answer: in the image

I believe this is what you are looking for, hope this helps!

Answer:

m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10

Step-by-step explanation:

The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)

m = [tex]\frac{rise}{run}[/tex]

   = [tex]\frac{2-10}{7-0}[/tex]

   = [tex]\frac{8}{7}[/tex]

   = 1[tex]\frac{1}{7}[/tex]

Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.

Answer:

54 kg

Step-by-step explanation:

x - regular boy

y - special boy who's weight we're counting

The mean mass of 5 boys:

(4x+y)÷5=62

The mean mass of 4 boys:

4x÷4=64

x=64kg

the mass of y boy:

(4×64+y)÷5=62

(256+y)÷5=62 |×5

256+y=310

y=310-256

y=54

Answer:

no

Step-by-step explanation:

Answer:

Out of

Step-by-step explanation:

A two-word phrase used to show division in a word problem.

Out of is a two-word phrase which is used to show division in a word problem.

Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)