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:

N165.53°E

Step-by-step explanation:

Given the following vector points

Vx = -43.0units

Vy = 11.1 units

The direction of the vector is expressed using the formula:

θ = tan^-1(Vy/Vx)

θ = tan^-1(11.1/-43.0)

θ = tan^-1(0.2581)

θ = -14.47°

Since tan is negative in the second quadrant, hence the required direction will be θ = 180-14.47

θ = 165.53°

Hence the direction is N165.53°E

Answer:

Step-by-step explanation:

The hummingbird drank 8 times its weight in water:

The hummingbird ate half its weight in food

Required equation:

Answer:

t= 8w + 1/2w

Step-by-step explanation:

Answer:

B (x+7=19)

Step-by-step explanation:

We don't know Steve's age, so make his age=x. If his parrot is 19 years old and he's 7 years older than Steve, you would be adding 7 years onto Steve's age. So, to do that it would be x+7=19 or B!

Answer:

61780

Step-by-step explanation:

Answer:

Substitute (–5, 0.5) into x – 4y = –7 to get  

✔ –5 – 4(0.5) = –7

.

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

✔ 0.2(–5) + 2(0.5) = 0

.

Simplify the above equations to get  

✔ –7 = –7 is true and 0 = 0 is true; a solution.

Step-by-step explanation:

(–5, 0.5) a solution of the system of equations.

A system of equations is a set or collection of equations that you deal with all together at once.

Given are the equations, x – 4y = –7 and 0.2x + 2y = 0;

Substitute (–5, 0.5) into x – 4y = –7 to get  

–5 – 4(0.5) = –7

Substitute (–5, 0.5) into 0.2x + 2y = 0 to get  

0.2(–5) + 2(0.5) = 0

Simplify the above equations to get  

–7 = –7 and 0 = 0 is true

Hence, (–5, 0.5) a solution of the system of equations.

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Answer:

The answer is: x-4y=8

Answer: -2.75*x - 4.7

Step-by-step explanation:

In the equation we have only one variable, this means that the minimum possible number of terms will be two, one term with x, and one term without x.

We can start with the equation:

(-0.25x - 3) - (2.5x + 1.7)

Now, let's rewrite this as:

-0.25x - 3 - 2.5x - 1.7

(-0.25*x - 2.5*x) + (-3 - 1.7)

Solving the parentheses we get:

-2.75*x - 4.7

That is the equivalent expression that has the fewest possible terms

Answer:

Step-by-step explanation:

20% of 207.77 = 41.554

1% of 207.77 = 2.0777

21% of 207.77 = 41.554+2.007=43.6317

207.77+43.6317 = 251.4017

Round to 2 decimal places because its money = 251.40

its 9 with the remainder of 53

Answer:

6

Step-by-step explanation:

3/4 / 6 = 3/4 x 1/6, which equals 3/24

and prodigy is a good game :D

Answer:

4.3

Step-by-step explanation:

14.3 - 2 × 5² ÷ 5

14.3 -2 ×25÷5

14.3 -2 × 5

14.3 - 10

4.3

Answer:

- 8° per hour

Step-by-step explanation:

Given that:

Station A = - 6°

Station B = 2°

Rate of temperature change = x° / hour ; which is the same at both stations

Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;

Temperature change in Station A:

-6 + 3x

Temperature change in station B:

2 + 4x

Temperature change in A = temperature change in B

-6 + 3x = 2 + 4x

Collect like terms

3x - 4x = 2 + 6

- x = 8

x = - 8

Hence, the rate of temperature change x in both stations is - 8° per hour

Answer:

2b+9

Step-by-step explanation:

(7-b)+(3b+2) ---> remove parenthesis

7-b+3b+2 ---> combine like terms

2b+9

Answer:

[tex]P(x)=x^3+x^2[/tex]

Step-by-step explanation:

Polynomials

Given the roots or zeros of a polynomial as x1, x2, x3, ...xn and the leading factor a, the polynomial can be expressed as:

[tex]P(x)=a(x-x_1)(x-x_2)(x-x_3)...(x-x_n)[/tex]

We are given the zeros of a polynomial as x1=0, x2=0 (multiplicity or zeros), and x3=-1, thus the polynomial is:

[tex]P(x)=a(x-0)(x-0)(x+1)[/tex]

Operating:

[tex]P(x)=a.x.x(x+1)[/tex]

[tex]P(x)=ax^2(x+1)[/tex]

[tex]P(x)=ax^3+ax^2[/tex]

Assuming a=1, the polynomial is

[tex]\mathbf{P(x)=x^3+x^2}[/tex]

Answer:

$3, 774

Step-by-step explanation:

102 ice cream cakes, and 68 fruits tarts

One cream cake is $27 and a fruit tart is $15

Meaning, from ice cream cakes, they made 102($27) = $2754

From fruits tarts, they made 68($15) = $1020

Answer:

D

Step-by-step explanation:

Negative numbers are less than zero.

Answer:19.8

Step-by-step explanation: if you look at the lines it describes the length of the area it’s on. Since there is 4 lines on right side it would be 9.9+9.9 which would give you and answer of 19.8 so CH=19.8

Answer:

CH=12

Step-by-step explanation:

CH=12

9.9+9.9=19.8

19.8x19.8=392.04

8x8=64

392.04-64=328.04

v328.4=18

18-6=12

Answer:

There is one Zero.

Step-by-step explanation:

Hope this helps:)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The pair of inequalities is graphed in the attachment.

The first inequality graphs as a shaded area below the dashed line y=-x+5.

The second inequality graphs as a shaded area below the solid line y=2x-1.

The solution set is the doubly-shaded area below the point where the lines intersect.

Answer:

132

Step-by-step explanation:

Answer: 132 lb

Step-by-step explanation:

Observe the pattern here:

20 lbs * 200 = 4000 ft

50 lbs * 200 = 10,000 ft

Notice the pattern here?

Each lb covers 200 ft.

You can use this same method to find the answer.

? * 200 = 26,400 ft

Dividing by 200 on both sides, you’ll find that the answer is 132 lb.

Answer:

it b

Step-by-step explanation:

To determine which statement is true, we need to calculate the percentages for each option and compare them and option c is correct.

Option A: The percentage of Seniors who ordered a large shirt is greater than the percentage of students who ordered a large shirt and are also in the Senior class. To calculate the percentage of Seniors who ordered a large shirt, we divide the number of Seniors who ordered a large shirt by the total number of Seniors:

Percentage of Seniors who ordered a large shirt =[tex](79 / 220) * 100 = 35.91[/tex]% To calculate the percentage of students who ordered a large shirt and are also in the Senior class, we divide the number of Seniors who ordered a large shirt by the total number of students who ordered a large shirt: Percentage of students who ordered a large shirt and are also in the Senior class [tex]= (79 / 147) * 100 = 53.74[/tex]% Since the percentage of students who ordered a large shirt and are also in the Senior class is greater than the percentage of Seniors who ordered a large shirt, statement A is false.

Similarly, we can calculate the percentages for the other options: Option B: The percentage of Seniors who ordered a small shirt is the same as the percentage of students who ordered a small shirt and are also in the Senior class. Percentage of Seniors who ordered a small shirt [tex]= (51 / 220) * 100 = 23.18[/tex]% Percentage of students who ordered a small shirt and are also in the Senior class [tex]= (51 / 116) * 100 = 43.97[/tex] % Since the percentages are not the same, statement B is false.

Option C: The percentage of Juniors who ordered a medium shirt is greater than the percentage of students who ordered a medium shirt and are also in the Junior class. Percentage of Juniors who ordered a medium shirt [tex]= (84 / 240) * 100 = 35[/tex]% Percentage of students who ordered a medium shirt and are also in the Junior class [tex]= (84 / 146) * 100 = 57.53[/tex]% Since the percentage of students who ordered a medium shirt and are also in the Junior class is greater than the percentage of Juniors who ordered a medium shirt, statement C is true.

Hence the correct option is C.

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Answer:

32

Step-by-step explanation:

Divide 24 by 3/4 to find the number.

24 ÷ 3/4

= 24 × 4/3

= 32

Answer:

3/4×X=24

4×3/4×X=4×24

3x=96

X=32

Step-by-step explanation:

The measure of angle 1 from the given triangle is 81°.

In the given triangle, the measure of two angles are 78° and 31°.

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

From the angle sum property of triangle,

78°+31°+m∠1=180°

⇒ 109°+m∠1=180°

⇒ m∠1=180°-109°

⇒ m∠1=81°

Therefore, the measure of angle 1 from the given triangle is 81°.

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Step-by-step explanation:

sin 23°/6cm = sin A/13cm

(sin 23°/6cm)×13cm= sin A

A= 60.35

I wish this will answer u, n im sorry if im wrong

Answer:

I think A= 60.35

Step-by-step explanation:

Hope this helped have an amazing day!