6. The Grand Theater has 13,451 seats. If 15,340 people need to be seated in the theater for a music concert, write and solve
an equation to find the number of seats that need to be added to the theater to accommodate all the people.

Answers

Answer 1

Answer:

The number of seats needed is:

1889

Step-by-step explanation:

To identify the number of seats you need add in the theater to accommodate all the people, you can write a simple equation where you subtract from all people need to be seated (15,340), the seats already there are (13,451), how I show below:  

NS = x - y

Where:

NS = Number of seats that need to be added. x = People need to be seated in the theater. y = The seats there.

Replacing the equation with the values:

NS = 15,340 - 13,451 NS = 1,889

Related Questions

8
If Zoey sells over 50 boxes of cookies, then she will win a prize.
Which of the following is the hypothesis in the statement above?
A.
she will not win a prize
B.
Zoey sells under 50 boxes of cookies
C.
she will win a prize
D.
Zoey sells over 50 boxes of cookies

Answers

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

A rectangular prism has a width of 5 cm, a height of 8 cm and a depth of 2 cm. What is the volume of the
prism?

Answers

8 x 2 x 5 = 80

So the volume of the prism would be 80 cubic centimeters

the volume of the rectangular prism is 80 cubic centimeters.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the width is 5 cm, the height is 8 cm, and the depth is 2 cm.

Volume = length × width × height

Substituting the given values into the formula:

Volume = 5 cm × 8 cm × 2 cm

Calculating the multiplication:

Volume = 80 cm³

Therefore, the volume of the rectangular prism is 80 cubic centimeters. This means that the prism can hold 80 units of a cubic centimeter, such as water or any other substance.

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How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?

Answers

Answer: approximately 10.4 feet

Step-by-step explanation:

Question: Meghan has created a diagram of her city with her house, school, store, and gym identified. A. How far is it from the gym to the store? B. Meghan also wants to walk to get some exercise, rather than going to the gym. She decides to walk along arc AB. How far will she walk? Round to 3 decimal places.

Answers

Answer:

a). Distance between the gym and store 9.25 m

b). Meghan will walk 5.637 m along the arc AB.

Step-by-step explanation:

a). Theorem of intersecting chords inside the circle,

When two chords intersect each other in a circle multiplication of their segments are equal.

3×7 = 4a

a = [tex]\frac{21}{4}[/tex]

a = 5.25 m

Distance between the gym and store = 4 + 5.25

                                                               = 9.25 m

b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

                           [tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]

                                 = [tex]\frac{646\pi }{360}[/tex]

                                 = 5.6374 m

                                 ≈ 5.637 m

Therefore, Meghan will walk 5.637 m along the arc AB.

Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?

A. 50%

B. 25%

C. 75%

D. 100%

Answers

Answer:

50%

Step-by-step explanation:

3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.

Answer:

A.50%

Step-by-step explanation:

25
Write the number 0.5 in the form , using integers, to show that it is a rational number.
5/11
5/100
5/10
2/1​

Answers

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

Help meh pls!!!!!!!!!!!!!!!!!!!!!!! 11÷3/4

Answers

Answer:

Step-by-step explanation:

Multiply by the reciprocal of 3/4. That is 4/3

[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]

2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover

[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent

If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

OQ + QP= BLANK?

Fill in what you know and solve for OQ

OQ= BLANK?

Answers

Answers:

OQ + QP = OP

OQ = 11

============================================================

Explanation:

The smaller pieces OQ and QP glue together to form the larger segment OP. This is effectively what the Segment Addition Postulate says. This only works if all three points are on the same single line segment.

We know that OP is 17, so QP = 6 adds to the other unknown piece to get 17. The other piece must be 11 units long. Algebraically you could write,

OQ + QP = OP

OQ + 6 = 17

OQ + 6-6 = 17-6 ... subtracting 6 from both sides

OQ = 11

OQ is 11 if OP=17 and QP=6. This is obtained by using Segment Addition Postulate.

What is Segment Addition Postulate ?

If Q is between O and P, then OQ + QP = OP.

Find OQ + QP and OQ:

Given, OP=17 and QP=6

According to Segment Addition Postulate,

OQ + QP = OP

OQ + 6 = 17

OQ= 17-6 =11

OQ = 11

OQ + QP =17 and OQ = 11

Hence the value of OQ is 11 when OP is 17 and QP is 6.

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Find the coordinate of point X inside segment BE that is 1/2 (half) the
distance from B to E.
2

Answers

Answer:

Point D

Step-by-step explanation:

Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.

350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be in the sample *see attached*

Answers

Answer: 10

Step-by-step explanation:

Given the following :

Total number of visitors = 350

Sample size = 30

Number selected from each strata is given by:

(Strata size ÷ Total population) × sample size

From the cumulative frequency distribution :

Child - 90

Teen - (210 - 90) = 120

Adult - (350 - 210) = 140

Senior = 0

Strata size of teen = 120

Therefore, number of teen selected is ;

(120 ÷ 350) × 30

0.3428571 * 30 = 10.26 (10 visitors)

which equation represents the function on the graph?

Answers

Answer:

the answer would be c the

third option

the answer should be c :)

a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER

Answers

Answer:

64

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

The volume of a cone is 201.92 cubic units. If a cylinder has the same height and radius as a cone what is it’s volume in cubic units?

Answers

Answer:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

201.92×3

Step-by-step explanation:

Answer:

Anwser is (B)

Step-by-step explanation:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

Jennifer is organising a street party. she needs to make 300 cakes. the recipe consist of : 50g icing, 150g butter, 120g caster sugar, 110g flour, 1 egg, 5h baking powder. this makes 12 cakes. how much of each ingredient will she need? kilograms.​

Answers

Answer:

1.25 kg of icing sugar

3.75 kg of butter

3 kgs of caster sugar

2.75 kgs flour

25 eggs

125g baking powder

Step-by-step explanation:

300/12 x (weight of ingredient)

Answer:

1.25kg icing

3.75kg butter

3kg caster sugar

2.75kg flour

25 eggs

125g baking powder    

Step-by-step explanation:

Above is 6 ingredients that is all part of your answer, but you show 300/12 as your first step in workings , the rest is multiplying by 25 as shown here.

300/12 = 25

25 x 50 = 1250g = 1.25kg

25 x 150 = 3750g = 3.75kg

25 x 120 = 3000g = 3kg

25 x 110 = 2750g = 2.75kg

25 eggs

25 x 5 = 125g

if ABC~DEF and the perimeter of ABC is 4 times greater than the
perimeter of DEF, what is the relationship between the areas of the
triangles?

Answers

Answer:

The area of triangle ABC is 16 times larger than the area of triangle DEF

Step-by-step explanation:

Step 1: Re-state the input

Given two triangles ABC and DEF are similar with ratio k.

Step 2: Derive the information

Suppose that the triangle ABC is k times larger than triangle DEF.

=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.

For example:

AB = k x DE

AC = k x DF

BC = k x EF

=> AB + AC + BC = k x (DE + DF + EF)

=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF

Step 3: Solve the problem step-by-step

Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.

As the above assumption states:

AH = k x DH'

BC = k x EF

Multiply both sides of the two above equations:

=> AH x BC = DH x EF x k x k

Simplify k components:

=> AH x BC = DH x EF x k^2

Multiply (1/2) to both sides:

=> (1/2) x AH x BC = (1/2) x DH x EF x k^2

Apply the formula to calculate the area of a triangle:

=> Area of triangle ABC = Area of triangle DEF x k^2

In other words:

The area of triangle ABC is (k^2) times larger than area of triangle DEK.

Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4

Step 4: Make the conclusion

=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.

Hope this helps!

:)

Draw the graph of y = 3x - 1
on the grid.

Answers

Can you send a picture easier to solve

Which situation could the equation -3*20=-60 represent?

Answers

Answer:

total temp of 20 winter days

Step-by-step explanation:

equivalent fractions for 5 out of 7​

Answers

Answer:

There are 20 ways but I will give you 4 :)

1. Multiply the numerator and the denominator by 2:

5/7 x 2/2 = 10/14

2. Multiply the numerator and the denominator by 3:

5/7 x 3/3 = 15/21

3. Multiply the numerator and the denominator by 4:

5/7 x 4/4 = 20/28

4. Multiply the numerator and the denominator by 5:

5/7 x 5/5 = 25/35

Step-by-step explanation:

There you go!

provide the value of k:
(2x-1)(kx+1)=6x^2-x-1

Answers

Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

Answer:

k= 6x-3/2x-1

Step-by-step explanation:

Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and

Answers

Answer:

Angle x=19°

Angle Y=53°  hopes this helps i might be wrong idk

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19

Subtract negative 24 from 11.

Answers

Answer:

-35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

11-(-24)

35

brianliest please

An object has a mass of 35.0 grams. On Anthony’s balance, it weighs 38.5 grams. What is the percent error of his balance?

Answers

Answer:

10%

Step-by-step explanation:

35 ÷ 100 = 0.35

38.5 - 35 = 3.5

3.5 ÷ 0.35 = 10%

y= 3x+7
y = -2x - 3
Whats the x and y for the solution

Answers

Answer:

x=-2, y=1

Step-by-step explanation:

y=3x+7

y=-2x+3

Set the two equations equal to each other:

3x+7=-2x-3

Add 2x to both sides:

5x+7=-3

Subtract 7 from both sides:

5x=-10

Divide both sides by 5:

x=-2

Plug back into one of the original equations to find y:

y=3(-2)+7=-15+7=1

Hope this helps!

PLEASE HELP !!


Image attached




Answers

Answer:

C = 31.4 inches

Step-by-step explanation:

The circumference of a circle is found by

C = pi *d

C =3.14 * 10

C = 31.4 inches

Answer:

C = 31.4 inches

Step-by-step explanation:

To find the circumfrence

C = pixd

C =3.14x10

C = 31.4 inches

11. The chess club has 50 members. They want to raise $680 for a trip to a competition. The school will give $130. How much must each member pay?

Answers

Answer:

$11

Step-by-step explanation:

Total members = 50 ,    Raised amount = $680

If school gives $130 then all the 50 members will pay the remaining amount.

Remaining amount to be paid by the 50 members = $680 - $130 = $550

50 members = $550

1 member = $550/50

1 member = $ 11 ( Answer)

which of the following describes the number 0.5? A. irrational, terminating decimal
B. Rational, repeating decimal
C. irrational, nonrepeating decimal
D. Rational, terminating decimal

Answers

Answer:

D

Step-by-step explanation:

0.5 can be written as a fraction and 0.5 doesn't repeat

The number 0.5 is rational and terminating decimal thus option (D) is correct.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given number, 0.5

Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.

Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.

Hence "The number 0.5 is rational and terminating decimal".

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pls help........................​

Answers

Answer:

30 in

Step-by-step explanation:

idk how to explain, so yea:)

Pleasee help I am being timed

Answers

Answer:

A: 33.5

B: 24.5

Step-by-step explanation:

Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.

Step-by-step explanation:

If 153=2(z+z)n, then what’s is the value of 4nz+20

Answers

Answer: (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

will mark bianleast plz pzl
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis?


A'(5, 3) B'(–3, 2)
C'(–2, –2)


A'(5, 3) B'(3, –2)
C'(2, 2)


A'(–5, –3)
B'(3, –2)

C'(–2, –2)

A'(–5, –3) B'(3, –2)
C'(2, 2)

Answers

Answer:

A'(-5, -3) B'(3, -2) C'(2, 2)

Step-by-step explanation:

count the squares up or down to the x axis from each point and then go the same number of squares on the other side

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