A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $15. Lin has $300 to spend on renting the hall for a fundraiser. How many hours can Lin rent the hall for? 1) Write an equation. 2) List what your variable represents. 3) Solve the equation. 4) Answer the question

Answers

Answer 1

Answer:

6 no 3 yes

Step-by-step explanation:

for 6 hours no because she already used 200 and now she only has 100 to spend

for 3 hours yes because that fee would be UNDER her budget


Related Questions

Write the function whose graph is the graph of y=√x​, but is shifted to the left 7 units .

Answers

Answer:2x + 7 = 15

Step-by-step explanation:

2x + 7 = 15

1. Solve the formula h = 42t + 1/2at^2 for a

2. Solve the formula P = 2L + 2W for L.

Answers

Answer:

1)  a = (2h-84t) / t²

2) L = (P-2W) / 2

Step-by-step explanation:

Formula #1:

step 1: subtract 42t

1/2at² = h - 42t

step 2: multiply by 2

at² = 2h - 84t

step 3: divide by t²

a = (2h - 84t) / t²

Formula #2:

step 1: subtract 2W

P - 2W = 2L

step 2: divide by 2

L = (P-2W) / 2

A cylinder has a height h, and a radius (3h-2)

The area of the base is pi (3h-2)^2


The volume of the clinder is V= pi(3h-2)^2h


10. Multiply the polynomials to simplify the expression for the volume:

V=pi(3h-2)^2h by

Answers

Answer:

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Step-by-step explanation:

Given

Shape: Cylinder

[tex]Radius = 3h - 2[/tex]

[tex]Height = h[/tex]

[tex]Base\ Area = \pi (3h - 2)^2[/tex]

Required

Simplify the volume

The volume is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Substitute values for Base Area and Height

[tex]V= \pi(3h-2)^2*h[/tex]

Expand the bracket

[tex]V= \pi(3h-2)(3h-2)*h[/tex]

Open brackets

[tex]V= \pi (9h^2 -6h - 6h + 4) *h[/tex]

[tex]V= \pi (9h^2 -12h + 4) *h[/tex]

[tex]V= 4\pi (9h^2 -12h + 4)[/tex]

Find two numbers whose sum is 8 and whose product is 17​

Answers

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

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Answer the attachment please

And subscribe to Offxcial Prxmiise
X=8 and y=3

Answers

Answer:

73

Step-by-step explanation:

8^2+3^2=64+9=73

5
A bag contains 15 red marbles, 13 blue marbles,
and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?

Answers

Answer:

red +blue marbles :- 15 +13=28 marbles.

yellow marbles:- 50+28=22 marbles.

probability of yellow marble :- 22/50 i.e 11/25

Crusaders attacked the city of Zara to rid it of Muslim influence tr
ue or false

Answers

Answer:

true

Step-by-step explanation:

Pierre is rowing his kayak on a lake. He moves 1 à miles in 18 minutes. At this rate, how far would he move in 30 minutes ?
A 30 miles
B. 2 miles
OC 18 miles
OD. ot a mile

Answers

Answer:

Step-by-step explanation:

if Pierre moves 1 mile in 18 minutes

1 miles..............................18 minutes

? miles...............................30 minutes

the number of miles=30/18=10/6=1.66 miles

Prove that the value of the expression: 731^2−631^2 is divisible by 100

Answers

Answer:

Step-by-step explanation:

731² - 631² is the difference of squares.

731² - 631² = (731+631)(731-631) = 1362×100

therefore, 731² - 631² is divisible by 100

The ratio of boys to girls in a school is 5:6. Find the total number of children in the school if there are 6000 girls. Pls help

Answers

Answer:

11,000

Step-by-step explanation:

There are 5000 boys and 6000 girls.

5000 + 6000 = 11,000

Answer:

11,000

Step-by-step explanation:

Boys is 6000 so 6000+5000=11000

42% of a number is 210. What is the number

Answers

Answer:

number is 500 hope this helps

Answer:

42%of n=210

42/100 ×n=210

n=21000/42=500

A tree cast a shadow 21 meters long. The angle of elevation of the sun is 51 degrees. What is the height of the tree?

Answers

Answer:

64feet

Step-by-step explanation:

Math help!! Answers to 7,8,9?

Answers

Answer:

7 is D which is 18.4...

8 is C: 42

9: C: 8.9

Step-by-step explanation:

hope it helps...

What is the distance from J to K?

Answers

Answer:

A. 13 units is the answer

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Answer:

13 Units

Step-by-step explanation:

Complete the equation describing how c and y are related

Answers

Answer:
Y = 2x + 7
Step by step:
With x = 0 and y = 7, you can complete half the equation, y = ?x + 7
Then for the other values in the table, find the relation between x and y, subtracting 7 from y.
x = 2, y = 11-7
x = 3, y = 13-7
Y is double the value of x, so the equation can be completed now as y = 2x + 7

Guys Please help
Tyra has 1223 cups of sugar. If r is the amount of sugar called for in one batch of cookies,
the expression 1223 ÷ r can be used to find how many batches Tyra can make with the sugar she has
If r is 23 cup, how many batches of cookies can Tyra bake

Answers

Answer:

53 cookies

Step-by-step explanation:

you divide 1223 and 23, the answer should then be about 53

The width of a rectangle is 9 feet less than the length. The area is 580 square feet. Find the length and width of the rectangle.

Answers

Answer:

5220

Step-by-step explanation:

A=580, A=LW, W=L-9

580=L(L-9)

L^2-9L-580=0

(L-29)(L+20)=0, L>0 so L=29, W=29-9=20

Solve.
sec 315 degrees

Answers

Answer:

1.41

Step-by-step explanation:

Runner A had a minor accident and is now 0.25 miles behind Runner B.


Runner B is currently has a speed of 7 miles per hour.


Runner A attempts to catch up runner B by running 8.5 miles per hour.


How long will it take Runner A to catch up to Runner B?

Answers

Answer:

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Step-by-step explanation:

Runner A is 0.25 miles behind Runner B.

Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.

This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.

How long will it take Runner A to catch up to Runner B?

1 hour - 1.5 miles

x hours - 0.25 miles

[tex]1.5x = 0.25[/tex]

[tex]x = \frac{0.25}{1.5}[/tex]

[tex]x = \frac{1}{6}[/tex]

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

The Crews family went on a day trip to Nashville. For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65. For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77. How many adults and how many children were on the trip?

Answers

Answer:

Number of adult were on the trip = 4

Number of child were on the trip = 7

Step-by-step explanation:

Let the Number of adult were on the trip = x

Let the Number of child were on the trip = y

As given,

For lunch they paid $7.50 for each adult meal and $5 for each child meal for a total of $65.

⇒7.50x + 5y = 65            ...........(1)

Also,

For dinner the family paid $10.50 for each adult meal and $5 for each child meal for a total of $77.

⇒10.50x + 5y = 77            ...........(2)

Now,

Subtract equation (2) from equation (1) , we get

10.50x + 5y  - ( 7.50x + 5y ) = 77 - 65

⇒10.50x + 5y  - 7.50x - 5y  = 12

⇒10.50x - 7.50x  = 12

⇒3x = 12

⇒x = [tex]\frac{12}{3}[/tex] = 4

⇒x = 4

Now,

Put the value of x in equation (2) , we get

10.50(4) + 5y = 77

⇒42 + 5y = 77

⇒5y = 77 - 42

⇒5y = 35

⇒y = [tex]\frac{35}{5}[/tex] = 7

⇒y = 7

∴ we get

Number of adult were on the trip = x = 4

Number of child were on the trip = y = 7

In a right triangle, if the hypotenuse is equal to 16 feet and the side adjacent to ∠θ is equal to 5 feet, what is the approximate measurement of ∠θ?

A. 18°

B. 75°

C. 15°

D. 72°

Answers

Answer:

D. 72°

Step-by-step explanation:

Given

Adjacent = 5feet

Hypotenuse = 16feet

Using SOH CAH TOA

cos theta = adj/hyp

cos theta = 5/16

cos theta = 0.3125

theta = arccos 0.3125

theta = 71.7

theta = 72 degrees

Suppose that G(x) = F(x + 9). Which statement best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) shifted 9 units up.
B. The graph of G(x) is the graph of F(x) shifted 9 units to the right.
C. The graph of G(x) is the graph of F(x) shifted 9 units down.
D. The graph of G(x) is the graph of F(x) shifted 9 units to the left.​​

Answers

Answer:

Option D

Step-by-step explanation:

The graph of G(x) is the graph of F(x) shifted 9 units to the left.​​

The positive 9 in the parenthesis let's us know that the transformation should be 9 units to the left.

a person walks 1/3 mile in 1/24 hour what is the persons speed in miles per hour?​

Answers

Answer:

8mph

Step-by-step explanation:

Distance= 1/3 mile

time= 1/24 hour

Speed= distance/time

speed = 1/3 divided by 1/24

           = 8mph

Answer:

8 im pretty sure

Step-by-step explanation:

Find the difference.
4-(-8)=

Answers

Answer:

4

Step-by-step explanation:

subtract negative 4 by negative 8

The Anderson's are driving 2,563 miles to the beach. They plan to drive 325 miles a day. How many days will it take the Anderson's to drive to the beach?​

Answers

Answer:

Around 8 days

Step-by-step explanation:

Divide 325 from 2,563

2563 / 325 = 7.888

Round that number

How does the graph of g(x) = - 1/x compare to the graph of f(x) = 1/x?

Answers

Answer:

The answer is B) g(x) is shift 5 units to the right and 2 units up from f(x).

Step-by-step explanation:

The equation that is given in this item can be written for clarity as follows:

                       g(x) = 1/(x - 5)  + 2

It can be seen that the x-component is subtracted with 5 and the g(x) which would lie in the y-axis is added with two. This suggests that the graph of this equation is shifted to the right by 5 units and upwards by 2 units compared to the graph of the parent function.

The Graph for both function is attached below.

What is Translation?

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have only changed their direction or directions.

Given:

g(x) = - 1/x

and, f(x) = 1/x

The Graph shown below.

From the Graph we can see that the graph of g(x)= -1/x and f(x)= 1/x

shows the same graph but the position is changed in opposite of each other.

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A person is walking at a rate of 9 feet every 4 seconds.
(a) Find their speed, i.e. the rate the distance

Answers

Answer:

v = 2.25 ft/s

Step-by-step explanation:

Given that,

A person is walking at a rate of 9 feet every 4 seconds.

We need to find their speed. We know that, the speed of total distance divided by time taken. So,

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{9\ ft}{4\ s}\\\\v=2.25\ ft/s[/tex]

So, the speed is 2.25 ft/s.

Find the missing side. Round to the nearest tenth. 16 53° A) 20.0 C) 12.8 B) 25.8 D) 23.1​

Answers

Answer:

b. 12.8

Step-by-step explanation:

napag aralan po namin yan boss

Set up a proportion and use it to solve for x.
14
х
6
9

Answers

Answer:

x=21

Step-by-step explanation:

x/x+14=9/15

15x=9x+126

6x=126

x=21

25 POINTS!!!
What shape can be created by the given net?

triangular prism
square pyramid
cube
rectangular prism

Answers

Answer:

It's a rectangular prism :)

Step-by-step explanation:

Well I automatically know this because,

it can't be a triangle since the left and right corners aren't angled with 3 sides like a triangle

It can't be a square pyramid because that would mean it is the shape of a triangle when folded with a square base

It can't be a cube because cubes have sides equal in length, while this shape when folded is long in length and short in width

So the answer is a rectangular prism! Rectangles have long lengths and short widths and if this shape is folded from 2D to 3D that makes it a prism.

Hope this helps! Have a meowgical day :)))

Rectangular prism shape can be created by the given net.

What is triangular prism?

A triangular prism is a 3D polyhedron with three rectangular faces and two triangular faces. The 2 triangular faces are congruent to each other, and the 3 lateral faces which are in the shape of rectangles are also congruent to each other. Thus, a triangular prism has 5 faces, 9 edges, and 6 vertices.

What is square pyramid?

A square pyramid is a three-dimensional geometric shape that has a square base and four triangular sides that are joined at a vertex. It is a polyhedron (pentahedron) with five faces. A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.

What is cube?

A cube is a 3D solid object with six square faces and all the sides of a cube are of the same length. It is also known as a regular hexahedron and is one of the five platonic solids. The shape consists of six square faces, eight vertices, and twelve edges. The length, breadth, and height are of the same measurement in a cube since the 3D figure is a square that has all sides of the same length

What is a rectangular prism?

A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.

A rectangular prism has 6 faces, 12 edges (sides) and 8 vertices (corners). In the 12 edges, 3 edges intersect to form right angles at each vertex.

According to the question

We can observe that the net consists of 6 faces, out of which there are 3 pairs of identical opposite faces.

A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.

We can say that the given net is of rectangular prism.

Option D is correct.

Thus, rectangular prism shape can be created by the given net.

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