The school play is selling tickets for their annual fall play. Adult tickets cost $7 each and
children’s tickets cost $4 each. The theatre holds 100 seats and the play is sold out! If $592 were made off of ticket sales, how many of each kind of ticket were sold

Answer:97

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

if y = 24, then 2y = 24 * 2

24*2 = 48

48 + 49 = 97

Hope this helps! :)

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

Step-by-step explanation:

(3x² / 2 )° = 96° [ being corresponding angles ]

3x² = 192°

x² = 192/3

x² = 64

x² = (+ 8) ²

Therefore x = +8 and -8

Hope it helps. :)

Answer:

56.25 minutes

Step-by-step explanation:

1 mile is 6.25 minutes

9 miles is _____?

6.25 minutes x 9 miles =

56.25 minutes

Find Unit Rate to help solve

Hope this helps :)

The relationship between the median and mean shown by the histogram is; The median is less than the mean.

From the given histogram, we see that it has a lot of its data on the left side.

Now, since the histogram has a lot of its' data to the right side, then we can say that it's skewed to the right. However, when the histogram is skewed to the right, it denotes that the mean will be more than the median.

Thus, we can conclude that the median is less than the mean.

Read more about Histograms at; https://brainly.com/question/2962546

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Answer:

b

Step-by-step explanation:

Answer:

No, this is not a strong evidence that the parameter has changed since 2018. This is because, there are so many factors that could have led to the fall in percentage of "disadvantaged school students" from the initial 3.5% to 4.3%.

Some of the factors could be reduction in the number of disadvantaged students, sample size considered being considered as well as the geographic location upon which the random sampling was made.

Step-by-step explanation:

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

For more about triangles,

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Answer:

17/6 or 18/6

Step-by-step explanation:

1/3        11/2        first make sure they have the same bottom number

2/6       33/6       now find the in between

please give me a brainliest if this helps

Answer:

-1,882384 x 10^6 or -1372^2

Step-by-step explanation:

Both forms equal -1882384.

Answer: a = 45°

Step-by-step explanation:

The measure of∠PSR is given: 90°

Given PS = RS, this is an isosceles triangle. so measure of ∠SPR, labeled "a" is equal to the measure of ∠SPR.  

The total of all angles in a triangle is 180. So subtract 90, then divide by 2.

180-90 = 90

90/2 = 45

a = 45°

If "b" is supposed to be the measure of ∠SRQ, that is 15°  The larger triangle is equilateral; all the angles are 60°. 60 - 45 = 15

Answer:

The maximum volume the cube could have is 729 cubic inches

Step-by-step explanation:

The total surface area of the cube equals the total area of material used.

Let A = total surface area of cube = 6L² where L = length of side of cube

Since A = total area of material used, A = 486 in²

So 486 in² = 6L²

L = √(486 in²/6)

= √81 in²

= 9 in

The volume of the cube V = L³ where L = length of side of cube

So, V = (9 in)³

= 729 in³

So the maximum volume the cube could have is 729 cubic inches.

The maximum volume that the box could have will be 729inches³.

Based on the information given, the first thing to do is to find the length of the shape. This will be:

Length = ✓(486/6)

Length = ✓81

Length = 9

Therefore, the volume of the cube will be:

= 9³

= 9 × 9 × 9

= 729 in³.

Read related link on:

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Answer:

b=1

Step-by-step explanation:

1) Distribute

6+7b-7=5+b

2) Combine like ter,s

7b-1=5+b

3) Isolate variable

6b=6

4) Solve

b=1

Answer:

b = 1

Step-by-step explanation:

6 + 7b - 7 = 5 + b

7b - b = 5 - 6 + 7

6b = 6

b = 1

Answer:

one solution

Step-by-step explanation:

4x + 8 = -2 -2 + 5x

4x + 8 = -4 + 5x

4x - 4x + 8 = -4 + 5x - 4x

8 = -4 + 5x - 4x

8 = -4 + x

8 + 4 = -4 + 4 + x

12 = x

Answer:

truwwwwwwweeeeeeeeeeeeeeee

Answer: A

they all divide eachother so

Answer:

6

Step-by-step explanation:

Given the data:

1, 3, 2, 2, 1, 3, 3, 1

The mean absolute deviation :

Sum of (1, 3, 2, 2, 1, 3, 3, 1) = 16

Mean = 16 / 8 = 2

Mean absolute deviation :

|1 - 2|+ |3 - 2| + |2 - 2| + |2 - 2| + |1 - 2| +|3 - 2| + |3 - 2| + |1 - 2|

= 1 + 1 + 0 + 0 + 1 + 1 + 1 + 1

= 6

Answer: less,less greater

Step-by-step explanation:

Answer: #1 : less than 930

Answer: #2 : less than 930

Answer: #3 : greater than 930

Hope this helps older sis!

Answer:

[tex]m = \frac{11}{12} [/tex]

Step-by-step explanation:

m= (y2-y1) / (x2-x1)

m = 19 - (-3) / 19 - (-5)

m = 22 / 24

m = 11/12

Answer:

x = 5 22/24 OR x =  5 11/12

Step-by-step explanation:

x - 3/4 = 5 1/6

To solve this we mush use inverse operations

x - 3/4 + 3/4 = 5 1/6 + 3/4

x = 5 22/24

x = 5 11/12

To add the fractions there has to be a common denominator.

1/6 x 4/4 = 4/24

3/4 x 6/6 = 18/24

Keep denominators the same and add the numerators.

If your teacher wants the answer not simplified the answer is

x = 5 22/24

If your teacher wants it simplified the answer is

x = 5 11/12

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

The correct options are;

1) How many grams of fat are in 1/2 cup of cheese = [tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]

2) How many cups of cheese will the chef need to make 13 small pizzas = [tex]\dfrac{1}{2} \cdot 13[/tex]

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]

Step-by-step explanation:

1) How many grams of fat are in 1/2 cup of cheese

The number of grams of fat per 1/4 cup of cheese = 6 grams

Therefore;

The number of grams of fat per kilogram of cheese = 6/(1/4)

The number of grams of fat per 1/2 kilogram of cheese = 6/(1/4) × 1/2, which can be written as follows;

[tex]6 \div\dfrac{1}{4} \cdot \dfrac{1}{2}[/tex]

2) How many cups of cheese will the chef need to make 13 small pizzas

The number of cups of cheese per small pizza = 1/2 cup of cheese

Therefore, the number of cups of cheese in 1 small pizza = 1/2 × 13, which can be written as follows;

[tex]\dfrac{1}{2} \cdot 13[/tex]

3) How many small pizzas could the chef make if he has 3/4 cup of cheese is given as follows;

Given that 1/2 cup of cheese can make one small pizza

(1/2)/(1/2) = 1 cup of cheese can make 1/(1/2) small pizza

3/4 cup of cheese can make 3/4 × 1/(1/2)  = (3/4)/(1/2) small pizza, which can be written as follows;

[tex]\dfrac{3}{4} \div \dfrac{1}{2}[/tex]

Answer:

given,

mp= 4500

now

discount amount=dis%of mp

=x%of 4500

=45x

now,

sp=mp- discount

=4500-45x

now,

vat=vat%of SP

=10%*4500-45x

=450-45x

now,

sp with vat=sp+vat amount

=4500-45x+450-45x

=4950-90x

now,

4950-90x=4400

or,-90x=-550

or, x=55/9

or, x=6.11%

therefore, dis percent is 6.11%

9514 1404 393

Answer:

  11.11%

Step-by-step explanation:

Let d represent the discount, as a fraction. Then the final price is ...

  4500(1 -d)(1 +10%) = 4400

  1 -d = 4400/(1.10·4500)

  d = 1 - (4400/4950) = 0.111... ≈ 11.11%

The discount percentage is about 11.11%.

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

Original salary; 1500

Raise; 20%

a. convert the raise as a percent into a decimal, then add 1

20% = 0.2

0.2 + 1 = 1.2

b. multiply the number by the original salary

1.2 * 1500

1800

Answer:

$ 1800

Step-by-step explanation:

Rise in payment = 20% of 1500

                          [tex]= \frac{20}{100}*1500\\\\=20 *15\\\\= $300[/tex]

New weekly wage = 1500 + 300

                                = $ 1800

Answer:

HL Postulate

Co vid-19 has led the world to go through a phenomenal transition .

E-learning is the future today.

Stay Home , Stay Safe and keep learning!!!

HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.  

AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )

∴ Δ ABC ≅ Δ DEF by RHS theorem

Theorem : Prove RHS theorem or postulate.

Given : AC = DF , BC = EF and ∠B = ∠E = 90 0

Prove that : ΔABC ≅ ΔDEF

Construction : Extend DE to G so that EG = AB. Join GF.

Statements

Reasons

1) AB = GE 1) Construction

2) ∠B = ∠FEG 2) Each 900

3) BC = EF 3) Given

4) ΔABC ≅ ΔGEF 4) By SAS postulate

5) ∠A = ∠G 5) CPCTC

6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal

7) AC = DF 7) Given

8) DF = GF 8) By transitive property

9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal

10) ∠A = ∠D 10) From (5) and (9)

11) ∠B = ∠E 11) Given

12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)

13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180

and ∠D + ∠E + ∠F = 1800

14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)

Step-by-step explanation:

Answer:

Step-by-step explanation:

HL is the the Hypothenuse Leg Postulate that sais that

If the hypotenuse and leg of one triangle are congruent

to the hypotenuse and leg of another triangle

then the triangles are congruent.

Answer:

I haven't learned this but I think it's D.

Step-by-step explanation:

Answer:

x = 1425

Step-by-step explanation:

Given that,

A student found out that 8% of the students in his school are left-handed.

Total no of lefties = 114

We need to find the total number of students in the school. Let they are be x.

ATQ,

8% of x = 114

[tex]\dfrac{8x}{100}=114\\\\x=\dfrac{114\times 100}{8}\\\\=1425[/tex]

Hence, there are 1425 students in the school.

Answer:

10,000

Step-by-step explanation: