find the sum 70.6+74.02+121.985=​

Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.

The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.

The total number of seats in the theatre are:

= Number of seats on balcony / Proportion of seats this represents

Solving gives:

= 120 ÷ 1/5

= 120 ÷ 0.2

= 600 seats

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Answer:

a negative linear association (C)

Re-Written Problem [Formatted]

Teams with varying numbers of players are playing a group card game. the time taken by each team to complete one game is given in the table. What is the relationship between the two variables?

Numbers of players on team are going to be 1, 2 , 3, 4, 5.

time taken to complete game (in minutes) 32, 26, 20, 14, 8

(Select the correct answer)

A. Positive linear association

B. Exponential relationship

C. Negative linear association

D. No relationship

----------------------------------------------------------------------------------

Step-by-step explanation:

Lower x values (numbers of players on team) are correlated with higher y values (time taken to complete game)

[note: I know which values are x and y because of a cause-and-effect relationship. x causes y. number of players causes a change in minutes {it wouldn't make sense for the number of time it took to cause the number of players} ]

So, if we were to graph this relationship, we would see a downward-slope / negative slope of a line, because greater x-values are associated with lower y-values.

So, you would see a negative line, showing a negative linear association.

Answer:

⇒ [tex]\frac{21}{2}[/tex]

or

⇒ [tex]10 \frac{1}{2}[/tex]

Step-by-step explanation:

3 3/4 = 15/4

2 4/5 = 14/5

⇒[tex](\frac{15}{4} *\frac{5}{5} )(\frac{14}{5} *\frac{4}{4} )[/tex]

⇒[tex]\frac{75}{20} *\frac{56}{20}[/tex]

⇒[tex]\frac{4200}{400}[/tex]

⇒ [tex]\frac{21}{2}[/tex]

or

⇒ [tex]10 \frac{1}{2}[/tex]

According to the above information, it can be stated that the pressure on the man's shoulders is directly proportional to the distance between the shoulder and the load, since the greater the distance he will feel the more weight due to instability.

A directly proportional relationship is a term that refers to the relationship between two variables in which if one of the variables increases, the other also increases.

According to the information, it can be inferred that the man will feel more weight on his shoulders if the load is more distant because this causes greater instability on his shoulders, so he will have to make a greater effort to move the load.

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Answer: 2041 meters

A bicycle wheel is a circular object.

The circumference of a circle is 2π(radius)

Here given:

Hence find the length for each revolution:

Then for 1000 revolutions:

Answer:

(-∞,19)

Definition: The domain of a function is the set of input or argument values for which the function is real and defined

Answer:

(-∞, 19]

Step-by-step explanation:

The domain of this function is only true for all real values of f(x).

That means the lower limit of the function is -∞ as the values are positive, and the upper limit is 19, because that is the greatest value it can become before becoming negative.

The domain is : (-∞, 19]

Answer:

x²-12x+36

x²-6x-6x+36

x(x-6)-6(x-6)

(x-6)(x-6)

=(x-6)²

Answer:

x = 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let ∠A and ∠B and ∠C.

be the three interior angles of the triangle.

∠A + ∠B + ∠C = 180

If ∠A = 68  and  ∠B = ∠C .

Then

∠B + ∠C = 180 - 68 = 112

Then

2∠B  = 112

Then

∠B = 112 ÷ 2 = 56°

Answer:

A.

Step-by-step explanation:

the correct answer is A. y=|x-2|+3.

For more details see the attachment.

Answer:

Place the squares on the rectangle.

Step-by-step explanation:

Hello!

The area of the 1cm by 1cm square is 1 square cm.

We can solve for the area by placing multiple of those squares in the larger rectangle.

If we place it, we get 15 placed squares, with a total area of 15 square cm. This relies on the meaning of area, as we are simply measuring the number of square cm taken up by the object.

We would place 3 rows of 5 squares, representing a height of 3 cm (side length of 3 squares), and a length of 5 cm (side length go 4 squares).

This also proves the area formula A = L * W, as we multiple the side lengths to find the number of square units.

Answer:

1298 mi

Step-by-step explanation:

In 5 hours, a jet would travel 5 times the distance that it would if it were to travel for one hour. This means that 590 is five times the distance of one hour. So, 590 divided by 5 is 118, so the jet travels 118 miles in one hour(this is basically the speed).

We can do the reverse to find how far it can travel in 11 hours given the jet travels 118 miles an hour. Using the same logic, the jet would travel 118 in each of the 11 hours, which is 118 x 11: 1298 mi.

Answer:

D

Step-by-step explanation:

i just took a test with that question

Answer:

[tex]x=2/7695[/tex]

≡ Small number, yes, but the steps explain why x is equal to this.

Step-by-step explanation:

simplify

[tex]24x\cdot 321-x=8x+2\\\left(24\cdot 321\right)x-x=8x+2\\7703x=8x+2[/tex]

group

[tex]7703x=8x+2\\7703x-8x=8~x+2-8x\\7695x=8x+2-8x\\7695x=8x-8x+2\\7695x=2[/tex]

isolate

[tex]7695x=2\\\frac{7695x}{7695}=\frac{2}{7695}\\x=\frac{2}{7695}[/tex]

The fraction is in its simplest form, so that is the final answer.

change in emitter current, ∆l(E) = 4 mA

change in collector current,∆I(C) = 3.5 mA

value of B

∆I(E) = ∆I(C) + ∆l(B), here ∆l(B) is the change in base current.

4 = 3.5 + ∆l(B)

∆I(B) = 0.5 mA

B = 3.5 ÷ 0.5

B = 7.0

Answer:

Kite is not a parallelogram

Step-by-step explanation:

The sides aren't evenly lined up properly to be a parallelogram

ANSWER:

kite

STEP BY STEP EXPLANATION

A kite isnerally not a parallogram because it is a quadrilateral whose four sided can be grouped into two pairs of sideame length that arch other

Answer: 103/15

Step-by-step explanation:

We can simplify the right-hand side to be [tex]2 \left(\frac{1}{3}+6 \right)=2 \left(\frac{19}{3} \right)=\frac{38}{3}[/tex].

This means we need to solve:

[tex]\frac{1}{2}(5x-9)=\frac{38}{3}\\5x-9=\frac{76}{3}\\5x=\frac{103}{3}\\x=\boxed{\frac{103}{15}}[/tex]

Answer: B 3.0

Step-by-step explanation:

Answer:

9 children were jumping then.

Step-by-step explanation:

6+5 equals to 11 - 2 of the children left would equal 9 children left.

Answer:

y = 15

Step-by-step explanation:

Given :

3 + y = 18

This a simple algebraic equation.

Subtract 3 from both sides :

⇒ 3 + y - 3 = 18 - 3

⇒ y = 15

Answer:

y = 15

Step-by-step explanation:

Given equation:

To Find:

Solution:

We can rewrite this equation as:

[This'll ain't change the answer]

Now we could solve on a easy way.

STEPS:

Transpose +3 to the RHS, make sure to change it's sign from “+” to “-”.

=> y = 18-3

Subtract the integers which's on the RHS:

=> y = 15

Hence,the value of y will be 15.

[tex] \rule{225pt}{2pt}[/tex]

Answer:

El número equivalente de 25/50 es 1/2

Step-by-step explanation:

∠72

Step-by-step explanation:

Therefore Two sides will be equal

∠b = ∠c ------ ☆

=> ∠b = 2∠a

=> ∠a = ∠b/2 -------(1)

=> ∠a + ∠b + ∠c = 180

Put value of ∠a from equation (1)

=> ∠b/2 + ∠b + ∠b =180

[ look equation marked - ☆ ]

=> 5∠b/2 = 180

=> 5∠b = 180 × 2

=> 5∠b = 360

=> ∠b = 360 / 5

=> 72

Some properties of Triangle-

Q1 = 7, Q2 = 10, Q3 = 13.5

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

Explanation:

Start with {5,7,7,8,10,11,12,15,17}

Notice how this data set is already sorted for us from smallest to largest.

Cross off the first and last items to get {7,7,8,10,11,12,15}

Repeat the last step to get this smaller set {7,8,10,11,12}

Repeat again: {8,10,11}

Repeat one more time: {10}

The 10 is at the very center, so it is the median aka the value of Q2.

-------------

An alternative way to get the median is to follow these steps:

There are n = 9 numbers in the original set before we crossed off any items. The middle number is in slot 5 because n/2 = 9/2 = 4.5 rounds up to 5. The value in the fifth slot is 10, so 10 is the median.

There are 4 items below the median and 4 items above it, giving n = 4+1+4 = 9 items total.

-------------

Next, break the data set into two smaller groups

L = lower set = every value below the median

L = {5, 7, 7, 8}

U = upper set = every value above the median

U = {11, 12, 15, 17}

The median itself is in neither set L nor set U.

The median of set L is (7+7)/2 = 7, so this is the value of Q1

The median of set U is (12+15)/2 = 13.5 which is the value of Q3

-------------

Summary:

Q1 = 7

Q2 = 10 (aka the median of the original set)

Q3 = 13.5

Answer:

B. Q1=7, Q2=10, Q3=13.5

Step-by-step explanation:

First Solution:

The first quartile of the data set is 7.

The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

5   7   7   8   10   11   12   15   17  

So, the bottom half is

5   7   7   8  

The median of these numbers is 7.

Second Solution:

The median of the data set is 10.

Quartile 2, also known as the median, is the middle number in a sorted list of numbers.   So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

5   7   7   8   10   11   12   15   17  

So, the median is 10 .

Third Solution:

The third quartile of the data set is 13.5.

The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers. So, to find the third quartile, we need to place the numbers in value order and find the upper half.

5   7   7   8   10  11   12   15   17  

So, the upper half is

11   12   15   17  

The median of these numbers is 13.5.

Answer: Heyaa! ~

Your Answer Is... 13

Step-by-step explanation:

Hopefully this helps you! ~

The exercise is designed to test the students knowledge of prepositions. The correct answer thus is (Option D) Yo estudio (which translates) "I study".

To understand the answer, you need to know what a preposition is. A preposition, in simple terms, is a word or group of words that comes before a noun.

The function of a preposition (much like an adjective) is to give clarity to the noun that it precedes.

Let us complete the Preposition phrase to give meaning to it:

"I study Mathematics". Where;

"Mathematics" is the noun;

"I Study" is the prepositional phrase. Hence the correction answer to the question above is Option D.

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The point −20, 21 is on the terminal arm of an angle = in standard position. Hence, sinФ = 21/29 and cos Ф = -20/29

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given Data

A (-20 , 21)

We have to find sin = ? and cos = ?

The point is in the fourth quadrant

We have the Opposite side and the Adjacent side

Calculate the hypotenuse

     c² = (-20)² + (21)²

       c² = 400 + 441

       c² = 841

       c = 29

Hence,

sinФ = 21/29

cos Ф = -20/29

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