Every seat that is sold in the auditorium costs 8 dollars. In addition to that, the auditorium makes 300 dollars as a flat rate. If the auditorium made $2772.00 dollars, how many seats were sold?

Answer:

0.0026 mark brainliest

Step-by-step explanation:

Answer:

2.6 hours

Step-by-step explanation:

9360 second divide by 60 to get minutes

156 minutes divided by 60 to get hours

2.6 hours

Answer:14 dimes 10 nickels

Step-by-step explanation:

24 coins total

14 X.10 = 1.40

10 x .05 = .50

1.40 + .50 = 1.90

Answer:

angle measurements of 35, 35, and 110°

angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

we know that

The length sides of a triangle must satisfy the Triangle Inequality Theorem and the sum of their interior angles must be equal to 180 degrees

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

That means, I can have more than one triangle with the same internal angles

so

Verify each description

case 1) side lengths of 6 ft, 8 ft, and 10 ft

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 6+8 > 10 ---> is true

2) 6+10 > 8 ---> is true

3) 8+10 > 6 ---> is true

therefore

The description describe only one triangle

case 2) angle measurements of 35, 35, and 110°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 3) angle measurements of 30°, 40, and 50°

The sum of the interior angles is not 180 degrees

therefore

The description is not a triangle

case 4) angle measurements of 40°, 60°, and 80°

The sum of the interior angles is equal to 180 degrees

therefore

The description can describe more than one triangle, by similar triangles

case 5) side lengths of 4 cm, 6 cm, and 9 cm

Remember that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

so

Applying the triangle inequality theorem

1) 4+6 > 9 ---> is true

2) 4+9 > 6 ---> is true

3) 6+9 > 4 ---> is true

therefore

The description describe only one triangle

Answer:

Angle measurements of 35, 35, and 110°

Angle measurements of 40°, 60°, and 80°

Step-by-step explanation:

took a test got the answer correct

Answer:

.0,1,2,3,4,5,6,7,8

The group which represents a success is D. 0, 1, 2, 3, 4, 5.

Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.

The value of probability will be always in the range from 0 to 1.

Given that,

a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.

Total outcomes which are numbers from 0 to 9 = 10

If the probability of success is 60%,

P(success) = 60/100 = 6/10

That is, 6 numbers out of 10 are the outcomes which leads to success.

The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.

Hence the correct option is D.

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Answer:

Option A - [tex]26 \mathrm{cm}^{3}[/tex]

Step-by-step explanation:

Given: The volume of a cylinder = [tex]78 \mathrm{cm}^{3}[/tex]

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is [tex]V=\frac{\pi r^{2} h}{3}[/tex]                    (1)

The formula for volume of a cylinder is [tex]V=\pi r^{2} h[/tex]              (2)

Substituting [tex]V=78[/tex] in equation (2), we get,

[tex]\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}[/tex]

Given that the cone has the same radius and height of that of the cylinder, let us substitute [tex]78=\pi r^{2} h[/tex] in equation (1)

[tex]\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}[/tex]

Thus, the volume of a cone with the same radius and height of a cylinder is [tex]26 \mathrm{cm}^{3}[/tex].

The volume of the cone is 26 cubic centimeters.

A cylinder has a volume of [tex]78 \;\rm{cm}^3[/tex].

We need to determine the volume of a cone with the same dimensions compared to a cylinder.

Now,

The formula for finding the volume of the cylinder is [tex]\pi r^2h[/tex].

The formula for finding the volume of the cone is [tex]\dfrac{1}{3}\pi r^2h[/tex].

Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.

Thus,

[tex]\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}[/tex]

Hence, the volume of the cone is 26 cubic centimeters.

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Answer:

You have to solve for the letter

Step-by-step explanation:

For example, Q5 is 40 - 5n = -2.

*Use a calculator if necessary.*

~Hope this is helps (.^.)~

Answer:

k = 0

Step-by-step explanation:

Explanation:-

given straight line equation is k x+(k+1)y=2......(1)

The point A(2,2) lies on the equation is

substitute x = 2 and y=2

k(2) + (k+1)(2) =2

now simplify 2 k+2 k+2 = 2

subtracting '2' on both sides , we get solution is

4 k +2 -2 = 2-2

4 k =0

k = 0

Answer:

k = 0

Step-by-step explanation:

kx + (k + 1)y = 2

2k + 2(k + 1) = 2

2k + 2k + 2 = 2

4k + 2 = 2

4k + 2 - 2 = 2 - 2

4k = 0

4k ÷ 4 = 0 ÷ 4

k = 0

Answer:

2<6

Step-by-step explanation:

2(n+3)-4

(2n + 6)-4

2n + 2

--------(both can be divided by 2)

2      2

n=2

2<6

the second line the the last  i believe im not so sure about the graphing but i hope starting you off with 2<6 helps

Answer:

7-3n

Step-by-step explanation:

3 less than 7.................. 7-3

times a number ............ n

Together ......................... 7-3n

Answer:

10 days the balance is $1,000, but then the balance drops to $950.

Step-by-step explanation:

For the first 10 days the balance is $1,000, but then the balance drops to $950.

Answer:

19 L

Step-by-step explanation:

Given that the volume (V) varies inversely with the pressure (P) then the equation relating them is

V = [tex]\frac{k}{P}[/tex] ← k is the constant of variation

To find k use the condition V = 5 when P = 304

k = VP = 5 × 304 = 1520

V = [tex]\frac{1520}{P}[/tex] ← equation of variation

When P = 80, then

V = [tex]\frac{1520}{80}[/tex] = 19 L

Incomplete question the complete question with the diagram is given below.

Answer:

The Correct option is second one 17 units.

Therefore the Length of BE is 17 units.

Step-by-step explanation:

Given:

∠BAE = ∠DAE

BE = 3x - 24

DE = x + 10

To Find :

Length of BE = ?

Solution:

∠BAE = ∠DAE        .........Given:

As Chords that subtend congruent angles are congruent. That is equal angles subtends equal chords.

So , the chord BE and DE are equal

Substituting the values we get

[tex]BE=DE\\3x-24=x+10\\2x=34\\\\x=\dfrac{34}{2}=17\\\\x=17\ units[/tex]

Therefore the Length of BE is 17 units.

Answer:

Answer is C

Step-by-step explanation:

edge 2021

The graph that represents the sale of the company is the first graph as shown attached.

In the first pie chart, each salesperson's contribution is clearly depicted as a segment of the whole pie. Joe's 25%, Cindy's 40%, and Jamie's 35% are visually represented.

Pie charts are good for showing how much of something each person sells. They help us see who sells more without needing to do hard math.

With pie charts, it's easy to understand who sells the most just by looking at the colors and sizes of the slices. They make it simple to compare how much each person sells without having to do any fancy calculations.

Answer: 2/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

(20÷4)-3

20÷4=5

5 x -3= 2

Answer:

2

Step-by-step explanation:

20 /4=5

5-3=2

Answer:

20 and 50

Step-by-step explanation:

the angles of a triangle add up to 180 degrees.

so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.

the other two angles are in a ratio of 2:5....added = 7

meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure

so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==

and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==

Answer:

The solution of the system is the point (-1,-2)

Step-by-step explanation:

The question is

Enter the coordinates of the solution to the system of equations

we have

[tex]y=x-1[/tex] ----> red line

[tex]y=-2x-4[/tex] ----> blue line

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs. The solution is a point that satisfy both equations

using a graphing tool

The intersection point is (-1,-2)

The intersection point satisfy both equations

therefore

The solution of the system is the point (-1,-2)

see the attached figure to better understand the problem

Answer:

A) 40

B) $ 15

Step-by-step explanation:

A)An equation for the number of​ 30-day periods until the value of the gift cards will be equal

Let x be the number of time periods for which the gift card is not used, then

For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is

155 - 3.50 x---------------------(1)

For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is

135 - 3x---------------------- (2)

Now when both the amount lost is equal

[tex]155 - 3.50x = 135 - 3x[/tex]

solving the equation, we get

[tex]155 -135 = -3x + 3.50x[/tex]

20 =  0.5x

[tex]x = \frac{20}{0.5}[/tex]

x = 40

Thus the value of gift cards will be equal for 40 ,30 day periods.

B)The value of each card be when they have equal​ value

The two cards  will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.

Then

[tex]155 - 3.50x = 135 - 3x[/tex]

substituting  x = 40, we get

[tex]155 - 3.50(40)= 135 - 3(40)[/tex]

[tex]155 - 140= 135 - 120[/tex]

[tex]15 =15[/tex]

when they have equal​ value, the value of each card will be $15

Answer: Step 1. Divide all terms by a (the coefficient of x2).

Step 2. Move the number term (c/a) to the right side of the equation.

Step 3. Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

Step-by-step explanation:

To find a improper fraction, you must multiply the denominator by the whole number, then add the numerator to the product.

6 x 8 = 48 + 1 = 49.

Our numerator for the improper fraction is 49, we keep the denominator as the same as the whole number fraction, which is 8.

Therefore, your improper fraction is 49/8.

The improper fraction equivalent of 6 1/8 is 49/8.

Given that a mixed fraction 6 1/8, we need to convert it into improper fraction,

To change a mixed number like 6 1/8 into an improper fraction, you need to convert the whole number and the fraction into a single fraction.

Step 1: Multiply the whole number by the denominator of the fraction.

6 x 8 = 48

Step 2: Add the product from Step 1 to the numerator of the fraction.

48 + 1 = 49

Step 3: Write the result from Step 2 over the original denominator.

The original denominator is 8.

Therefore, the improper fraction equivalent of 6 1/8 is 49/8.

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Answer:

30,240 yards

Step-by-step explanation:

6*30 in an hour

6*30*24 in a day

6*30*24*7 in a week, solve for 30240

Answer:

Step-by-step explanation:

The range of function is { -1, 1 }

Solution:

Given that, the function is:

[tex]f(x) = \frac{x^2-2}{2}[/tex]

Domain is {0, 2 }

We have to find the range of function

The domain refers to the set of possible input values

The range is the set of possible output values

Here domain is x = 0 and x = 2

Substitute x = 0 in given function

[tex]f(0) = \frac{0-2}{2}\\\\f(0) = \frac{-2}{2}\\\\f(0) = -1[/tex]

Substitute x = 2 in given function

[tex]f(2) = \frac{2^2-2}{2}\\\\f(2) = \frac{4-2}{2}\\\\f(2) = \frac{2}{2} = 1[/tex]

Thus the range of function is { -1, 1 }

Final answer:

The expression x(y-5) - y(5-y) can be rearranged and factored into (y - 5)(x + y), which is the expression written as a product of two polynomials.

Explanation:

To write the expression x(y-5) - y(5-y) as a product of two polynomials, we first distribute the variables across each term:

x(y-5) = xy - 5x

-y(5-y) = -5y + y²

Now, combining like terms:

xy - 5x - 5y + y²

This expression can't be factored as is, since it cannot be represented by the product of two simpler polynomials with real coefficients. However, we can rearrange the terms:

(xy - 5y) + (y² - 5x) = y(x - 5) + y(y - 5)

Here we can see a common factor of (y-5):

(y - 5)(x + y)

This is the expression written as a product of two polynomials.

Answer:

B and F

Step-by-step explanation:

Option A is false, there is no information whether opposite sides are parallel.

Option B is true because of following parallelogram theorem.

Parallelogram theorem: If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

Option C is false, there is no information about any angles.

Option D is false, there is no information about any angles.

Option E is false, there is no information about any angles.

Option F is true because of following parallelogram theorem.

Parallelogram theorem:  If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

The hypotenuse length is D. 2√29

Step-by-step explanation:

Here apply the Pythagorean relationship were the sum of squares of the sides equals the square of the hypotenuse.

Mathematically,

a²+b²=c²

a=10 ,b=4 ,c=hypotenuse

10²+4²=c²

100+16=c²

116=c²

√116=c

√4*29=c

√4 *√29=c

2√29 =c

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Answer:

3 and 2

7 and 6

are the alternate interior angles.

Answer:

[tex]\frac{1}{2}[/tex] quart

Step-by-step explanation:

Given:

Riley drink 4/5 quart of iced tea

And her friend drink 0 3/10 quart of iced tea

Question asked:

how much more of a quart of iced tea did Riley drink than her friend = ?

Solution:

Riley drank of iced tea = [tex]\frac{4}{5}[/tex]

Her friend drank of iced tea = [tex]0\frac{3}{10}[/tex]

                                                = [tex]\frac{3}{10}[/tex]

We will subtract the share of her friend from Riley's share

Riley drank more than her friend =[tex]\frac{4}{5} - \frac{3}{10}[/tex]  

                                                     = [tex]\frac{5}{10}[/tex]

                                                     =    [tex]\frac{1}{2}[/tex]

Thus, Riley drank [tex]\frac{1}{2}[/tex]  quart more than her friend.

Final answer:

Riley drank 1/2 quart more iced tea than her friend, which is the difference between 4/5 quart and 3/10 quart.

Explanation:

The question asks how much more of a quart of iced tea did Riley drink than her friend. Riley drank 4/5 quart and her friend drank 3/10 quart. To find out the difference, we subtract the smaller amount from the larger amount:

4/5 quart - 3/10 quart = 8/10 quart - 3/10 quart = 5/10 quart or 1/2 quart.

Therefore, Riley drank 1/2 quart more iced tea than her friend.