Four friends are planning a party at a skating rink. The friends must pay $3 for
each person attending the party. They will also spend $36 on snacks. If each
friend contributes $21 to the party, what is the maximum number of people that
can attend the party?
16
19
28
48

Answer:

Step-by-step explanation:x=π2,3π2

Explanation:

This can be factored as (x2+a)x2+b).⇒(sin2x+3)(sin2x-1)=0⇒

2

x

=

−

3

and

sin

2

x

=

1

⇒

sin

x

=

√

−

3

and

sin

x

=

√

1

⇒

sin

x

=

∅

and

sin

x

=

±

1

⇒

x

=

π

2

,

3

π

2

Hopefully this helps!

Answer:

A

Step-by-step explanation:

to find the y- intercept let x = 0 in the equation and solve for y

y = 5(0)² - 17(0) - 12 = 5(0) - 0 - 12 = 0 - 12 = - 12

then the y- intercept is (0, - 12 )

Answer:

[tex]\huge\boxed{\sf (0,-12)}[/tex]

Step-by-step explanation:

[tex]y=5x^2-17x-12[/tex]

y-intercept is the point where x = 0

Put x = 0 in the above equation.

[tex]y=5(0)^2-17(0)-12\\\\y = 0-0-12\\\\y=-12[/tex]

So, y = -12, when x = 0.

Ordered pair = (x,y) = (0,-12)

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

Answer:

the answer is $31.80

Step-by-step explanation:

6% of $120.00 is $7.20,

75% off of 127.20= $31.80

Answer:

The amplitude is the maximum displacement/highest peek

Which is in your case = 2

Step-by-step explanation:

the square root of x squared is x.

this means the( cube root of x ) to the power of 6 is what we need

Answer:

increase in price = $6664

price of next model = $56664

Step-by-step explanation:

(11.9 ÷ 100 ) x 56000 = $6664

56000 + 6664 = $56664

5 (12 + x)

Step-by-step explanation:

Answer:

5(12+X)

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Find the magnitude   (-1)^2  + (sqrt3)^2 = m^2   m = 2

find the angle    arctan (sqrt3/-1) = 120 degrees

the cube root would then be

[tex]\sqrt[3]{2}[/tex](cos 40 + isin 40)

Answer:

41 degrees

Step-by-step explanation:

All of the angles must add up to 360 degrees to form a circle. So we have 22 + b + 297 = 360. Solving for b, we get b = 41.

Answer:

its C

Step-by-step explanation:

I used something else for it for it

The values of the temperature in degree Celsius (12 and 24) converted to degree Fahrenheit are 53.6°F and 75.2°F respectively.

In this exercise, you're required to convert the value of temperature in degree Celsius to degree Fahrenheit. Thus, we would use the following mathematical expression to do the conversion:

F(t) = 9/5C(t) + 32

When t = 12, we have:

F(t) = (9/5 × 12) + 32

F(t) = 21.6 + 32

F(t) = 53.6°F.

When t = 24, we have:

F(t) = (9⁄5 × 24) + 32

F(t) = 43.2 + 32

F(t) = 75.2°F.

Read more on temperature here: https://brainly.com/question/894531

#SPJ1

Step-by-step explanation:

Select all of the following that are quadratic equations.

x² + 3x - 5 = 0 ✓

x² - x = 3x + 7 ✓

5x - 7 = 0 X

7x² + 14x = 0 ✓

x³ - 3x² + 1 = 0 X

x - 5 = 9x + 7 X

What is quadratic equations?

Quadratic equations is a equation that has a general form like "ax² + bx = c"

For example :

x² + 3x - 5 = 0

x² + 3x = 5

x² → ax²

3x → bx

5 → c

Work Shown:

Volume = length*width*height

Volume = 3*7*5

Volume = 105 cubic feet

length × breadth × height

7 × 3 × 5

105 cubic feet

hope it helps...!!!

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

Answer:

See below

Step-by-step explanation:

2 ^(5+x) = 2^8            (because 256 = 2^8)

 equate the exponents    5+x = 8     then x = 3

1/3 ^(2+x) = 1 / 3^ 6        (because 729 = 3^6 )

  equate the exponents  2+ x = 6    then x = 4

Answer:

a) x = 3

b) x = 4

Step-by-step explanation:

Use the Exponential Power Rule.

[tex]a^x \times a^y = a^{x+y}[/tex]

Also covert the term on the right to the same base as on the left.

If you are allowed to have calculator do [tex]\log_{\text{base}} (\text{number})[/tex] to get the exponent. For example [tex]\log_{2} (256) = 8[/tex], that means [tex]256 = 2^8.[/tex]

Without calculator you can divide with base untill you have it fully factored, then count. For example:

256/2 = 128
128/2 = 64
64/2 = 32
32/2 = 16
16/2 = 8
8/2 = 4
4/2 = 2
2/2 = 1

We had to divide with base two 8 times so 256 = 2⁸.

a)

[tex]2^5 \cdot 2^x = 256\\2^{5+x} = 2^8[/tex]

Now that we have same base we can equate the exponents!

[tex]5 + x = 8\\x = 8 - 5\\x = 3[/tex]

b)

[tex](\frac{1}{3})^2 \cdot (\frac{1}{3})^x = \frac{1}{729}\\\\(\frac{1}{3})^{2+x} = \frac{1}{3^6}\\\\(\frac{1}{3})^{2+x} = (\frac{1}{3})^6[/tex]

[tex]2 + x = 6\\x = 6 - 2\\x = 4[/tex]

Using the monthly payment formula, it is found that the amount he will have to pay is given as follows:

a. $151.73.

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

In this problem, the parameters are given as follows:

P = 2513.77, r = 0.1066, n = 1.5 x 12 = 18.

Hence:

r/12 = 0.1066/12 = 0.008883.

[tex]A = 2513.77\frac{0.008883(1 + 0.008883)^{18}}{(1 + 0.008883)^{18} - 1} = 151.73[/tex]

Hence option A is correct.

More can be learned about monthly payments at https://brainly.com/question/2151013

#SPJ1

Answer: 30.5

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

DI is a radius

CJ is a diameter

The diameter is twice the radius

CJ = 2 * DI

CJ = 2 * 14

CJ = 28

If the trigonometric expression is sin θ = -√2/2. Then the value of angle θ will be 5π/4, 7π/4, and 13π/4.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric expression is given below.

sin θ = -√2/2

The expression can be written as

sin θ = -1/√2

Then the value of angle θ will be

θ = sin⁻¹ (-1/√2)

θ = 5π/4, 7π/4, and 13π/4.

Thus, the correct options are B, C, and E.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ1

Answer:

B,C,E

Step-by-step explanation:

Answer:

table 1

Step-by-step explanation:

a table represents a proportional relationship between the number of laptop and desktop computers ,if the ratio of the number of desktop computers to laptops is a constant (doesn’t vary)

Table1 : (does not represent a proportional relationship) because :

11÷10=1,1

46÷42=1.09...

and 1.1 ≠ 1.09

Table2 : (represents a proportional relationship) because :

3÷6=0.5

9÷18=0.5

18÷36=0.5

72÷144=0.5

Table3 : (represents a proportional relationship) because :

18÷12=1.5

36÷24=1.5

54÷36=1.5

108÷72=1.5

Table4 : (represents a proportional relationship) because :

2÷3=0.666666666667

18÷27=0.666666666667

22÷33=0.666666666667

200÷300=0.666666666667

Answer:

Step-by-step explanation:

a) the thickness of one ream of paper :

= 0.1 × 500

= 50 mm

b) 12 cm = 12 × 10 = 120 mm

Then

the number of sheets that exist in a pile of papers that has a thickness of 12 cm :

= 120 ÷ 0.1

= 1 200 sheet of paper

Answer:

least to greatest: 149,156,161,164,165,165,165,168,169,172,172,172,178,178,178,180,182,184,184,184,187,189,190,190,215

Greatest to least: 215,190,190,189,187,184,184,184,182,180,178,178,178,172,172,172,169,168,165,165,165,164,161,156,149

Step-by-step explanation:

Answer:

x = -1.5 , y = 5.17

Step-by-step explanation:

Solve the system of equation using ELIMINATION (solve for x)

x + 3y = 14

-x + y = 10

Solution

x + 3y = 14 ------- equation 1  * 1

-x + y = 10 ------- equation 2  * 3

x + 3y = 14 ------- equation 3

-(-3x + 3y = 30)------ equation 4

Using the ELIMINATION METHOD.

x-(-3x) + 3y-3y = 14-30

4x = -6

x = [tex]\frac{-6}{4}[/tex]

x = -1.5

Substuting -1.5 into equation one

x + 3y = 14

-1.5 + 3y = 14

Adding 1.5 to both sides

-1.5 + 1.5 +3y = 14 +1.5

+3y = 15.5

Dividing by the coeffient of y

[tex]\frac{3y}{3} = \frac{15.5}{3}[/tex]

y = 5.166666666666

y =5.17

Therefore x = -1.5 , y = 5.17

The volume of the cylindrical jar, considering it's radius and height, is of 923 in³.

The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex].

In which problem, we have that r = 4.7 in, h = 13.3 in, hence the volume in cubic inches is given by:

[tex]V = \pi \times 4.7^2 \times 13.3 = 923[/tex]

More can be learned about the volume of a cylinder at https://brainly.com/question/9408912

#SPJ1

Answer:

answer  in picture

Step-by-step explanation:

Answer:

I believe its C , i took this class

Step-by-step explanation:

The system of equations that we need to solve is:

And the solution is x = 49 and y = 101.

Let's define the variables:

We know that the total number of CDs is 150, then:

x + y = 150

And we know that:

y = 2x + 3

Then the two equations that represent the information (and conform a system of equations) are:

x + y = 150

y = 2x + 3

b) The graphs of the two equations can be seen below.

c) To find the solution, we just need to see where the graphs intercept.

We can see that the intercept is (49, 101), this means that:

Isabella has 49 rock music CDs and 101 alternative music CDs.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1