A middle school took all of its 6th grade students on a field trip to see a ballet at a theatre that has 2000 seats. The students filled 700 of the seats in the theatre. What percentage of the seats in the theatre were filled by the 6th graders on the trip?

Answer:

Perimetro = 4 cm + 7 cm + 12 cm

                = 23 cm

Step-by-step explanation:

Answer:

y=0.6x

(a)$43.20

(b)$1416.67

Step-by-step explanation:

Let:

The club donates 60% to the foundation.

Therefore, the amount of money the foundation will receive

n=60% of m

n=0.6m

(a) If the club raised $72

m=$72

n=0.6*72

The amount of money the foundation will receive, n=$43.20

(b)If the foundation received a cheque of $850

n=$850

Therefore:

850=0.6m

m=850/0.6

m=$1416.67

The club raised $1416.67 in total for the year

Answer:

Angle B =  75 degrees

AC =  35.7

BC =  9.6

Step-by-step explanation:

Angle A = 15 degrees (given)

Angle C = 90 degrees (given)

c = 37 (given)

Angle B = 90-15 = 75 degrees

AC = AB cos(A) = 37 cos(15) = 35.7

BC = AB sin(A) = 37 sin(15) = 9.6

Responda:

P (verde) = 8/15

P (vermelho) = 1/3

P (azul)). 2/15

P (verde ou azul) = 2/3

P (não verde) = 7/15

Explicação passo a passo:

Dado o seguinte:

Número de bolas verdes = 8

Número de bolas vermelhas = 5

Número de bolas azuis = 2

N (verde) = 8

N (vermelho) = 5

N (azul) = 2

Portanto, número total de bolas;

N (total) = 8 + 5 + 2 = 15

Probabilidade = número de resultados requeridos / Total de resultados possíveis

1.) Probabilidade de escolher uma bola verde:

P (verde) = número de bolas verdes / número total de bolas

P (verde) = 8/15

2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas

P (vermelho) = 5/15 = 1/3

3) Probabilidade de pegar uma bola azul:

P (azul) = número de bolas azuis / número total de bolas

P (azul) = 2/15

4) probabilidade de verde ou azul:

P (verde ou azul) = P (verde) + p (azul)

P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3

P (não verde) = 1 - P (verde)

P (não verde) = 1-8/15

P (não verde) = 7/15

Answer:

A, B, C, D, F, G

Step-by-step explanation:

A. In order to stop overpayment when your account balance is low, some banks do require a low minimum balance so you don't use more money than you have

B. You can withdraw funds from a checking account easily by using an ATM or go into the bank.

C. There are many different kinds of checking accounts designed for specific activities.

D. One type of account is actually a Money Market account.

F. Some checking account can be joint so 2 or more people can access it (like wife and husband).

G. If you do overpay on your account, you will have to pay penalties for overspending.

E is incorrect because there are some few checking accounts that earn interest (very few).

H is incorrect because some banks require fees and restrictions.

Answer:

$5.25

Step-by-step explanation:

Take $150.00 times 3.5% to get $5.25

150(.035) = 5.25

Answer:

$5.25

Step-by-step explanation:

She earned 3.5% of $150.00.

To find a percent of a number, multiply the percent by the number.

3.5% * $150.00 =

= 0.035 * $150.00

= $5.25

Answer:  A. (10, 5)

Step-by-step explanation:

Inverse variation means xy = k

Given: x = 5, y = 10 --> k = 5(10) = 50

A. 10(5) = 50    This works!

B. -5(10) = -50  

C. -10(5) = -50

D. 5(-10) = -50

The only option that results in k = 50 is option A.

Answer:

Existen 6 formas posibles de cambiar un billete de 5000 por monedas de 200 y 500.

Step-by-step explanation:

En primer lugar, se determina el mínimo común múltiplo de 500 y 200. Si se multiplica a 500 por 2 y a 200 por 5, se encuentra que el mínimo común múltiplo es 1000. Entonces, se encuentra las siguientes dos conclusiones:

1) Se requiere dos monedas de 500 para obtener 1000.

2) Se requiere cinco monedas de 200 para obtener 1000.

Para determinar todas las formas posibles sin considerar el orden de las monedas, se requiere estudiar tres escenarios:

(i) Todas las monedas son de 200.

(ii) Todas las monedas son de 500.

(iii) Hay monedas de 200 y 500.

Caso 1 - Todas las monedas son de 200:

Es evidente que solo existe una forma.

Caso 2 - Todas las monedas son de 500:

Es evidente que solo existe una forma.

Caso 3 - Hay monedas de 200 y 500:

Existen las siguientes formas:

- 1000 en monedas de 200, 4000 en monedas de 500.

- 2000 en monedas de 200, 3000 en monedas de 500.

- 3000 en monedas de 200, 2000 en monedas de 500.

- 4000 en monedas de 200, 1000 en monedas de 500.

En resumen, existen 4 escenarios.

Finalmente, existen 6 formas posibles de cambiar un billete de 5000 por monedas de 200 y 500.

Answer:

False

Step-by-step explanation:

This is false because a population represents all and not some. A population is the collection of all outcomes, responses, measurements, or counts that are of interest. It is not a collection of 'some' outcomes. It is a collection of 'all' outcomes.

A population data set is a set which contains all the items or elements of a specified group or data set. It is a complete list of all the possible data values.

The sample of a population are drawn out of a population. They are A subset of a population.

Answer:

1) 10

2) 16

Step-by-step explanation:

1) 2x+15=37-2

2x+15=35

2x=35-15

2x=20

2 2

x=10

2)10x-8=9x+8

10x-9x=8+8

x=16

Hope this helps ❤

Answer: 1

Step-by-step explanation:

If you get a 10/10 on something, it’s 100%. If you get a 9/10, it’s 90%. If you get a 9/9, it’s 100%. So, if you get 8/9, it’s roughly 90% but not exact. It’s actually 88.8%

Answer:

7 questions

Step-by-step explanation:

if 9 = 100%

? = 80%

if less more divides

80/100 ×9

4/5×9

36/5

7.2 which is approximately 7 questions

Answer:

Solution,

Let ,

a = 13

b = 13

c= 10

then,

s = a + b + c /2

= 13 + 13 + 10 / 2

= 36/2

= 18

Now,

Area of triangle:

[tex] \sqrt{s(s - a)(s - b)(s - c)} [/tex]

[tex] \sqrt{18(18 - 13)(18 - 13)(18 - 10)} [/tex]

[tex] \sqrt{18 \times 5 \times 5 \times 8} [/tex]

[tex] \sqrt{3600} [/tex]

[tex]60 \: {cm}^{2} [/tex]

Hope this helps ....

Good luck on your assignment...

Answer:

Average rate of change in dollars per year between years 15 to 20 is:

$5300 per year.

Step-by-step explanation:

Given that:

Initial Investment, P  = $5000

Formula:

[tex]A(t) = P(1.06)t[/tex]

To find: If James invests $5000,

average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?

Solution:

First of all, let us find out A(15) and A(20):

Putting t = 15 first,

[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]

Putting t = 20,

[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]

Average rate of change / year is defined as:

[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]

So, required rate of change:

[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]

So, the answer is:

Average rate of change in dollars per year between years 15 to 20 is:

$5300 per year.

Answer:

78/4=19.5, 68/7=9.71, 98/6=16.3

Step-by-step explanation:

Answer:

The graph is not a function of x because the line x=0 intersects the graph at two points

Step-by-step explanation:

For any function of x, x can only map to one point. What this means is that for every x value, it only results in one y value. If you can input x into the relation's equation and get two outputs, the relation is not a function.

We can check if an x value maps to two points by using a vertical line, such as x=0, and if it crosses the relation at two points, the relation is not a function.

Since x=0 crosses the line at two points, it means that this relation is not a function.

Answer:

Side FE < Side DE < Side DF

Step-by-step explanation:

Side FE < Side DE < Side DF are in ascending order.  Side FE is the shortest because it is opposite the smallest angle (47 degrees).

Answer:

x= 48

Step-by-step explanation:

x∝ y

x= ky

24= 8k

k= 3

Now solve for x

x= ky

x= 3x 26

x= 48

I hope it helped

Answer: 5 and 10

Step-by-step explanation:

Let the first number be denoted as y

Then the second number will be y/15.

Since the sum of their reciprocal is 3/10, therefore:

1/y + 1/(15 - y) = 3/10

Using LCM will result into:

15/(15y - y²) = 3/10

We then cross multiply

150 = 3(15y - y²)

150 = 45y - 3y²

3y² - 45y + 150 = 0

Divide through by 3

y² - 15y + 50 = 0

y² - 5y - 10y + 50 = 0

(y - 10)(y - 5) = 0

Therefore,

y - 10 = 0 or y - 5 = 0

y = 0 + 10 or y = 0 + 5

y = 10 or y = 5

Therefore the numbers are 5 and 10

Answer:

As x increase, y decreases.

The rate of change for y as a function of x is not constant, therefore the function is non-linear.

For all values of x, the function y > 0.

The y-intercept of the graph is the function value y = 8.

When x = 1, the function value y = 5.

Answer: 3/4 cups per cake.

Step-by-step explanation:

He needs 3 cups for 4 cakes.

Then, if you want to know the amount that he needs for each cake, you need to see the quotient between the number of cups and the number of cakes:

S = 3cups/4 cakes = (3/4) cups per cake.

In the number line, 3/4 will be:

0--I--I--(here)--1--I--I--I--2

Answer:

None

Step-by-step explanation:

If one angle is 95 degrees and other is an obtuse angle (greater than 90 degrees) Say 91 (Just 1 degree greater than 90). So, no triangle would be made because a triangle can never be made from 2 obtuse angles.

Area of the circle = π * (35 yd)^2

Let A be the area of the sector subtended by a central angle measuring 80º. Then

A / (π * (35 yd)^2) = 80º / 360º  ==>  A = 2450π/9 yd^2 ≈ 854.78 yd^2

Subtract from A the area of the triangle, whose base has length 45 yd and with height 25 yd:

A - 1/2 * (45 yd) * (25 yd)  ≈ 292.28 yd^2

This is the area of the missing circular segment.

Then the area of the playground is equal to the area of the circle minus this area,

π * (35 yd)^2 - 292.28 yd^2 ≈ 3554 yd^2

Answer: 1035 cm^2

Step-by-step explanation:

Given that the shape s is exactly one quarter of solid sphere.

Where the volume of the shape s is 1994πcm^3.

The formula for volume of a sphere is

V = 4/3πr^3

The volume will be divided by 4 since the given solid is exactly quarter of solid sphere. Then equate it to the given value

1994π = 4/3πr^3 × 1/4

The π will cancel out

1994 = r^3/3

Cross multiply

5982 = r^3

r = cube root of 5982

r = 18.2 cm

The surface area of a sphere is

A = 4πr^2

Substitute r in the formula

A = 4× π × 18.2^2

A = 4141

Since the shape is exactly one quarter of solid sphere. Divide the answer by 4

A = 4141/4

A = 1035.3 cm^2

The surface area of s is therefore 1035.3 cm^2

The surface area of the shape s is approximately 329.53 cm².

Important information:

Volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

The volume of one-quarter of a solid sphere is 1994π cm².

[tex]1994\pi=\dfrac{1}{4}\times \dfrac{4}{3}\pi r^3[/tex]

[tex]1994\pi=\dfrac{1}{3}\pi r^3[/tex]

[tex]\dfrac{1994\pi\times 3}{\pi}=r^3[/tex]

[tex]5982=r^3[/tex]

Taking cube root on both sides, we get

[tex]\sqrt[3]{5982}=r[/tex]

[tex]r\approx 18.153[/tex]

Surface area of a sphere is:

[tex]S=4\pi r^2[/tex]

Surface area of one quarter of solid sphere is:

[tex]S=\pi r^2[/tex]

[tex]S=\pi (18.153)^2[/tex]

[tex]S=329.5314\pi[/tex]

[tex]S\approx 329.53\pi[/tex]

Therefore, the surface area of the shape s is 329.53 cm².

Find out more about 'Sphere' here:

https://brainly.com/question/16415229

Answer:

Option D.

Step-by-step explanation:

It is given that function g(x) represented by the graph. In the graph parabola opening down passing through (0,2), (-1.5,4.25), and (-3.5,0).

We need find the solutions of g(x) shown in the graph.

An ordered pair is called a solution of a function if it lie on graph of that function.

So, all the points lie on graph of function g(x) are the solutions of function g(x).

Therefore, the correct option is D.

Answer:

D

Step-by-step explanation:

I took the test

The value of x after completing the steps is -16

Given the equation solved by Lorie expressed as":

[tex]10(0.5x+2) - 5=3(x-6)+1[/tex]

Expand the bracket using the distributive law as shown:

5x + 20 - 5 = 3x - 18 + 1

Collect the like terms:

5x - 3x = -18 + 1 - 20 + 5

Simplify by adding and subtracting

2x = -32

Divide both sides by 2:

2x/2 = -32/2

x = -16

Hence the value of x after completing the steps is -16

Learn more on equations here: https://brainly.com/question/22688504

Answer: x=6, y=20

Step-by-step explanation:

Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.

y=2y-20                           [subtract both sides by 2y]

-y=-20                              [divide both sides by -1]

y=20

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

3x+32=9x-4                    [add both sides by 4, and subtract both sides by 3x]

36=6x                              [divide both sides by 6]

x=6

Answer:

(A)[tex](-\infty, 2)(2, \infty)[/tex]

(−[infinity], 2) (2, [infinity])

Step-by-step explanation:

Given the rational function, f(x) such that:

[tex]f(x)=\dfrac{x+1}{x-2}[/tex]

The domain of the function are the values of x for which f(x) is defined.

A rational function is undefined when its denominator equals zero.

Denominator of f(x)=x-2

x-2=0

x=2

Therefore, f(x) is undefined at x=2.

The domain of f(x) is all therefore all real numbers excluding 2.

This is written in set notation as:

[tex](-\infty, 2)(2, \infty)[/tex]

The correct option is A.

Answer: A (-infinity,2) (2,infinity)

Step-by-step explanation:

Answer:

58>13>-35>-51, so A is correct.

Step-by-step explanation:

Altitude of Snowvale: 13

Altitude of Highbridge: 58

Altitude of Westsilver: -51

Altitude of Springmoor: -35

Decreasing order means from greatest to least.

Obviously, positive numbers are greater than negative numbers, so we put the positive numbers first. 58>13>-35>-51.

(Note that with negatives, a greater number is a number closer to zero!)

Answer:

A

Step-by-step explanation:

The altitudes have to be arranged in decreasing order.

58 > 13 > -35 > -51

Answer:

C. 15/16

Step-by-step explanation:

A. Divide by 3

B. Divide by 5

C. Can't divide by anything.

D. Divide by 4

Answer:

C

Step-by-step explanation:

21/24 = 7/8

35/40 = 7/8

7/8 ≠ 15/16

14/16 ≠ 15/16

28/32 = 7/8