Wayne and Garth are planning to have a concert. They have found two good options. Option 1: Malcolm's Music Hall will pay them $100 for playing and add $15 per person in the audience. Option 2: Reggie's Reggae Room will pay them $350 for playing and add 10$ per person in the audience.

Answer:

last option is correct

Step-by-step explanation:

(a-9)(a+9)

a(a+9)-9(a+9)

a^2+9a-9a-81  (plus 9a and minus -9a gets cancel)

a^2-81

a^2-9^2

Answer:

[tex]a^2-81[/tex]

Step-by-step explanation:

[tex](a-9)(a+9)[/tex]

Distribute, multiply everything in one of the parenthesis by everything in the other parenthesis,

[tex](a - 9)(a + 9)\\\\(a)(a)+(-9)(a)+(9)(a)+(-9)(9)[/tex]

Simplify, perform the multiplication and combine like terms,

[tex]a^2-9a+9a-81\\\\a^2-81[/tex]

The volume of the cone to the nearest whole number is 1283 m³

Formula for volume of a cone = [tex]\pi r^2\frac{h}{3}[/tex]

Slant height = 25m

If diameter = 14m , radius = 14/2 = 7m

Pie = 22/7

Substitute values into formula

We have,

Volume = [tex]3. 142 * 7 * 7 * \frac{25}{3}[/tex]

Volume = [tex]1,282. 98[/tex]

Volume = [tex]1283 m^3[/tex] in the nearest whole number

Thus, the volume of the cone to the nearest whole number is 1283 m³

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Answer:

Step-by-step explanation:

There are 6 qualifying letters, out of 26.

Thus, the probability that Luca will win through one wheel spin is

6/26, or 3/13, or 0.23.

This is a theoretical probability, since it could be calculated with the same result over and over.  An experimental probability, on the other hand, would be the result if the probability stemmed from experimenting:  making a list of all 26 letters and then spinning the wheel over and over again, perhaps 100 times, and recording how many times each of the 26 letters shows up.

Answer: 31.2

Step-by-step explanation:

Answer:

c 52

Step-by-step explanation:

x=10

4 ×10=40

40+12=52

Answer:

I think I explained the circle one before so I'll explain the left question because I wanted some points.

here,

area of circle is πr² which is given= 12 π cm²

so πr²= 12π

r= 2√3

d= 2r= 4√3

AB is diameter so AB= 4√3

Answer:

x = 4 and y = 5

Step-by-step explanation:

(x +1 , 4) = (5 , y -1)

compare the corresponding values

x + 1 = 5

x = 5 - 1

x = 4

4 = y - 1

4 + 1 = y

5 = y

The statement that is not true is

B. Perpendicular lines never intersect at right angles.

The definition of perpendicular lines is that they will intersect each other at 90 degree angles.

Answer:

B. Perpendicular lines never intersect at right angles.

Step-by-step explanation:

The perpendicular lines are lines that intersect at a right (90 degrees) angle. So, the option (B) is wrong and not true.

Answer:

The new price is 42.50

Step-by-step explanation:

First find the discount

50 *15%

50 *.15

7.5

Subtract this from the original price

50-7.5

42.50

The new price is 42.50

Answer:

x = -1 , - 11,

Step-by-step explanation:

| x | = x

|- x | = x

f(x) = 2 | x + 6 | - 4

x = - 1 , f( - 1) = 2 | - 1 + 6 | - 4 = 2 | 5 | - 4 = 10 - 4 = 6 , True

x = 1 , f( 1 ) = 2 | 1 + 6 | - 4 = 2 | 7 | - 4 = 14 - 4 = 10 , False

x = 11, f( 11 ) = 2 | 11 + 6 | - 4 = 2 | 17 | - 4 = 34 - 4 = 30 , False

x = - 11, f( - 11) = 2 | -11 + 6 | - 4 = 2 | - 5 | - 4 = 10 - 4 = 6 , True

x = 14 , f( 14 ) = 2 | 14 + 6 | - 4 = 2 | 20 | - 4 = 40 - 4 = 36 , False

x = -14 , f( - 14 ) = 2 | - 14 + 6 | - 4 = 2 | - 8 | - 4 = 16 - 4 = 12 , False

x = - 26 , f( - 26) = 2 | -26 + 6 | - 4 = 2 | -20 | - 4 = 40 - 4 = 36 , False

x = 26, f( 26 ) = 2 | 26 + 6 | - 4 = 2 | 32 | - 4 = 64 - 4 = 60 , False

                                                    OR

Given f ( x ) = 6

f( x ) = 2 | x + 6 | - 4

6  = 2 | x + 6 | - 4

6 + 4 = 2 | x + 6| - 4 + 4                 [ adding 4 to both sides ]

10 = 2 | x + 6 | + 0

5 = | x + 6 |                                    [ dividing both sides by 2 ]

[tex]- 5 =\ ( x+ 6) \ = 5\\\\[/tex]                            [tex][ \ | x | = a\ => \ -a \ = x \ = a \ ][/tex]

[tex]- 5 - 6 = \ x + 6 - 6 \ = \ 5 - 6\\[/tex]            [tex][ \ subtracting \ by \ 6 \ ][/tex]

[tex]-11 = \ x \ = - 1[/tex]

Answer:

20

Step-by-step explanation:

"Product" indicates that we need to use multiplication.

The difference of 8 and 3 is 5 because 8-3=5

When we put it all together, it becomes

4(8-3)

4(5)

20

the product of 4 and the difference between 8 and 3

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Answer:

4/11

Step-by-step explanation:

Let :

x = numerator

x + 7 = denominator [tex]\frac{x}{x + 7}[/tex]

[tex]\frac{x}{x+7} + \frac{1}{4} = \frac{1}{3}[/tex]

[tex]\frac{x + 1}{x + 11} = \frac{1}{3}[/tex]

cross multiply

3(x + 1) = x + 11

3x + 3 = x + 11

combine like terms

3x - x = 11 - 3

2x = 8

x = 4

x + 7 = 4 + 7 = 11

original fraction = 4/11

Answer:

if two lines in a linear system INTERSECT, they have exactly one point in common.

Answer:

cross each other

Step-by-step explanation:

The point of intersection is the point where both lines will have the same coordinates.

Answer:

25 1/4 inches

Step-by-step explanation:

Given :

Day ___ Mon ___ Tue ___ Wed ___ Thur ___Fri

△depth _-3/8 ___ - 1/8 ___ 1/2 ____ - 1/4 __ 3/4

Depth of water at the beginning = 24 3/4

Depth of water at the end of Friday:

24 3/4 - 3/8 - 1/8 + 1/2 - 1/4 + 3/4

24 3/4 + (-3/8 - 1/8 + 1/2 - 1/4 + 3/4)

24 3/4 + (-1/2 + 1/2 + 3/4)

24 3/4 + ( - 1/4 + 3/4)

24 3/4 + 1/2

24 + (1 1/4

24+ 1 + 1/4

25 1/4

Answer:

100

Step-by-step explanation:

they are vertical angles therefore, they have the same measure.

Answer:

y - 2 = -2(x +2)

Step-by-step explanation:

y - 2 = -2(x +2)

Answer:

Rain is correct, calculates correctly, 238.5 square inches

Step-by-step explanation:

The given triangular pyramid is shown with the dimensions.

The surface area of the triangular pyramid is given by :

[tex]$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$[/tex]

[tex]$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$[/tex]

[tex]$A=43.5+(3\times 65)$[/tex]

[tex]$A=43.5+195$[/tex]

[tex]$A=238.5 \ \text{inche}^2$[/tex]

Therefore, the surface area of the triangular pyramid is = 238.5 square inches.

Answer:

greater than 16 and less than 25(easy)

Answer:

a

Step-by-step explanation:

Answer:

Answer:

StartFraction one-fourth EndFraction left-parenthesis x right-parenthesis equals x left-parenthesis 30 plus 60 right-parenthesis.(x) = x(30 + 60)

Step-by-step explanation:

The equation that can be used is:

(1/4)*(30 min + 60 min + x) = x

So the correct option is the first one.

We know that Hiroshi spends:

The total time is:

30 min + 60 min + x

And we know that one-fourth of the total time that he studies is spent on math, then we can write:

(1/4)*(30 min + 60 min + x) = x

This is the equation we need to solve.

Solving it gives:

30 min + 60 min + x = 4x

90 min = 3x

(90 min)/3 = x = 30 min.

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Step-by-step explanation:

7x + 2 = 4x + 0

both sides substracted by 2

7x = 4x -2

both sides substracted by 4x

7x-4x = -2

3x = -2

both sides divided by 3

3x/3 = -2/3

=> x = -⅔

[tex]\\ \sf\bull\dashrightarrow 7x+2=4x+0[/tex]

[tex]\\ \sf\bull\dashrightarrow 7x+2=4x[/tex]

[tex]\\ \sf\bull\dashrightarrow 7x-4x=-2[/tex]

[tex]\\ \sf\bull\dashrightarrow 3x=-2[/tex]

[tex]\\ \sf\bull\dashrightarrow x=\dfrac{-2}{3}[/tex]

Using it's concept, it is found that the marginal relative frequency of survey participants who are girls is of 0.43.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that there were 2 + 3 + 5 + 4 + 3 + 8 + 2 + 6 + 4 + 3 = 40 participants, of which 17 are girls, hence the relative frequency is given by:

f = 17/40 = 0.425

Which is rounded to 0.43.

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Answer:

16. 1

17. 3

18. 1

19. 1

20. 1

Step-by-step explanation:

I'm sorry that I don't speak in Filipino but I can help fill in the blanks.

(In brackets is the English translation)

12 pulgada = 1 piye (12 inch is 1 foot)

1 yard = 3 piye (1 yard is 3 feet)

10 sentimetro = 1 desimetro (10 centimeters is 1 decimeter)

1000 metro = 1 kilometro (1000 meters is 1 kilometer)

10 millimetro = 1 sentimetro (10 millimeters is 1 centimeter)

Answer:

$2,000 at 9%

$8,000 at 4%

Step-by-step explanation:

(4x * .04) + (x * .09) = 500

.16x + .09x

.25x = 500

x = $2,000 at 9%

4x = $8,000 at 4%

Answer:

2000 at 9%

8000 at 4%

Step-by-step explanation:

Let the principle at 9% = x

The principle at 4% = 4*x

Together they give 500 dollars.

9% = .09

4% = ,04

Both are invested for 1 year

0.09 * 1 * x + 0.04 * 1 * 4x = 500

0.09x + 0.16x = 500

0.25x = 500

x = 500 / 0.25

x = 2000

She invested 2000 at 9%

She invested 4 * 2000 at 4%

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

An equation is an expression that shows the relationship between two or more numbers and variables.

The chocolate cookies is given as:

Number of chocolate cookies = 5.50 cups / 0.25 cup per cookie = 22

The lemon cookies is given as:

Number of lemon cookies = 5.50 cups / 0.75 cup per cookie = 7

22 chocolate cookies can be made from 5.50 cups of sugar and 7 lemon cookies can be made from 5.50 cups of sugar

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