Paula is the student council member responsible for planning an outdoor student dinner dance. Plans include
hiring a band and buying and serving dinner. She wants to keep the ticket price as low as possible to encourage
student attendance while still covering the cost of the band and the food.
1.) Band A charges $700 to play for the evening and Band B charges $550 plus $1.50 per student.
a. Write a system of equations to represent the costs of the two bands. Use y for total cost and use x for
number of students.

Answers

Answer 1

Answer:

Band A:y=700

Band B:y=550+1.50x

Step-by-step explanation:

Band A: since they are a fixed rate no matter how many students the equation  would be y=700 . There is no need for x since there is no extra price for students

Band B: Since this band charges 550 plus 1.50 per student we will need a x in our equation

y=550+1.50x

The difference between the two equations is that in Band B we need to add the price per student.


Related Questions

what is the GCF of 40 and 72?

Answers

Answer: 8

Step-by-step explanation: The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

This means the greatest common factor is 8.

What’s the domain and range of a horizontal line?

What’s the domain and range of a vertical line?

Answers

Horizontal line would be y=1 (1 would change with whatever point the line goes through), vertical would be all real numbers which looks like a fancy R.

The horizontal line has infinite domains but a range that has only one value.

The vertical line has a domain is the -intercept, and its range is "all real numbers."

Given that,

The horizontal and vertical lines.

Since we know that,

Linear functions always have infinite domains and ranges.

The exception is when the graph is a horizontal line.

This happens for functions that equal a constant such as f(x) = a. These functions have infinite domains but a range that has only one value, a.

And, A vertical line that is the -axis has an infinite number of -intercepts. A vertical line is not a function;

Hence its domain is the -intercept, and its range is "all real numbers."

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how do you find the y - intercept (explain in sentences)

Answers

find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!

Slope of 3,4 and 0,-2

Answers

Answer:

The answer is m=2/3

Step-by-step explanation:

Answer:

[tex]-2[/tex]

Step-by-step explanation:

In order to find the answer you need to use the formula for slope and solve, simplifying if needed.

[tex]Slope=\frac{y^2-y^1}{x^2-x^1}[/tex]

[tex](y^2,y^1)=(-2,4)[/tex]

[tex](x^2,x^1)=(0,3)[/tex]

Substitute:

[tex]\frac{-2-4}{0-3}[/tex]

Solve:

[tex]-2-4=-2+-4=-6[/tex]

[tex]0-3=-3[/tex]

[tex]=\frac{-6}{-3}[/tex]

Simplify:

[tex]-6\div3=-2[/tex]

[tex]-3\div3=-1[/tex]

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

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

[tex]=-2[/tex]

Hope this helps.

Evaluate the function: f (x)=4x-1. Find f (5)

Answers

Answer:

f(5)= 4(5)-1

=20-1

=21

The evaluated value of f(5) is 19, which is determined by performing the arithmetic operations.

The linear function is given as follows:

f(x) = 4x - 1

To evaluate the function f(x) = 4x - 1 and find f(5), we substitute x = 5 into the function.

f(5) = 4(5) - 1

= 20 - 1

= 19

Therefore, f(5) is equal to 19.

The function f(x) = 4x - 1 represents a linear equation. In this case, when x is equal to 5, the value of f(x) can be calculated by substituting x = 5 into the equation.

By performing the necessary arithmetic operations, we find that f(5) is 19.

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Solve for x. What type of angles
are they?
112ºxº

Answers

Answer:

x=68

Step-by-step explanation:

180-112=68

180=112+x

stright line is 180 degrees

What is 60/7 converted to a mixed number and simplified

Answers

Answer:

847

Step-by-step explanation:

brainlest plzzzz

What is 38,050,000 expressed in scientific notation?
O A. 3.805 x 108
O B. 0.3805 x 108
O C. 0.38 x 10-8
O D. 3.805 x 107

Answers

Answer:

I think it is 3.805 × 10 to the 7th power

Step-by-step explanation:

Hope this helps!

Answer should be B/0.3805 x  108

Step-by-step explanation:

if I'm wrong please tell me and I will try to correct it :)

please help it's the SLOPE

Answers

Answer:

[tex] - \frac{4}{5} [/tex]

Step-by-step explanation:

Please see the attached picture.

[tex]slope \\ = \frac{1 - ( - 3)}{ - 3 - 2} \\ = \frac{1 + 3}{ - 5} \\ = - \frac{4}{5} [/tex]

☆In the gradient formula,

(x1, y1) is the first coordinate and (x2, y2) is the second coordinate.

Solve the following

1. 6(22-17)+(33)

2. If Kate's Flight lasts 12 hours and she had already traveled 7 miles in 1 hour how many miles does she have left to travel

Answers

Answer:

1. = 63

2.= 77 miles

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

1. 6(22-17)+(33)

=132-102+33

=30+33

=63

2. The answer is 77 miles

Pls help me with the answer

Answers

Answer:

I found out the answer, it's 2/3

Step-by-step explanation:

I hope that helped!

A file that is 261 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth

Answers

Answer:

48.8

Step-by-step explanation:

During the school day, you spend 2 hours in math, 1 hours in science, 2 hours in ELA and 1 hour in art and 2 hours at a friends house studying for your math tests. What percent of the time do you spend at your friend's house studying for your math tests?

Answers

Answer:

Step-by-step explanation:

More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night

Kendra knits hats. She starts with 334 yd of yarn. After knitting for 514 h, there is 118 yd of yarn left. At what rate does the amount of yarn change? Show your work.

Answers

Answer:

Step-by-step explanation:

Total yarn = 334 yards

Amount remaining = 118 yards

Amount knitted = 512

amount per hat =x

amount used = y

amount used = 334 - 118 = 514*x

y= 216= 514x

216 = 514 x         Divide by 514

216/514 = x

.42 yards/hat = x

Find the equation of the line that is parallel to the given line and passes through the given point.

y = −6x + 8; (4, 5)

The equation is y = .

Answers

Answer:

get smart

Step-by-step explanation:

expanding the question x(x + 2)​

Answers

Answer:

x^2 + 2x  ?

Step-by-step explanation:

Sorry I dont understand math good hope this helps..

xx+2x. I think. I did the math bc that’s what we’re learning but I pretty sure it’s the right answer

find the slope of the line through each pair of points (6, 10) , (-1, 10)

Answers

Answer:

-7

Step-by-step explanation:

Slope is rise/run or change in y over change in x.

To calculate rise we subtract y2 from y1.

-1 - 6 = -7

RUN: -7

To calculate run we subtract x2 from x1.

10 - 10 = 0

RISE: 0

Slope is -7/0

In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the

90% confidence interval for the population proportion, p?

Answers

Answer:

-0.0081<p<0.4081

Step-by-step explanation:

Using the formula for calculating the confidence interval expressed as;

CI = p±z√p(1-p)/n

p is the proportion = x/n

n is the sample size

x is the amount that are left-handed

p = 2/10

p = 0.2

z is the z score at 90% CI = 1.645

Substitute the values into the formula;

CI = 0.2±1.645√0.2(1-0.2)/10

CI = 0.2±1.645√0.2(0.8)/10

CI = 0.2±1.645√0.16/10

CI = 0.2±1.645√0.016

CI = 0.2±(1.645*0.1264)

CI = 0.2±0.2081

CI = (0.2-0.2081, 0.2+0.2081)

CI = (-0.0081, 0.4081)

hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081

if henry has 8 apples , and josh ate 5 . how many apples does henry have?

Answers

Answer:

Henry has 3 apples

Step-by-step explanation:

can you help me answer this question

Answers

Answer:

it would be 18 over 5

It’s 18 over 5 ok bye

5s - (-6s – 10) < 5s + 9 + 5s

Answers

Answer:

see in picture

...........

Evaluate 1/2t + 3/8 when t= 1/4

Answers

Answer:

1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

1/2t + 3/8

t = 1/4

Step 2: Evaluate

Substitute:                    1/2(1/4) + 3/8Multiply:                        1/8 + 3/8Add:                              4/8Simplify:                        1/2
Half of 1/4 is 1/8
1/8 + 3/8 = 4/8 or 1/2
So the answer is 1/2
Hope I helped

will make brainleist find the value of ar in the figure below if re is parallel to bc show your work

Answers

The value of the variable x is 5. Then the value of length AR will be 2.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABC is given.

There is a line segment RE which is parallel to the BC.

Then the triangle ΔABC and triangle ΔARE will be the similar triangles.

Then the ratio of the corresponding side will be constant.

(x – 3) / (x – 1) = 5 / 10

         2(x – 3) = x – 1

           2x – 6 = x – 1

                    x = 5

Then the value of AR will be

AR = x – 3

AR = 5 – 3

AR = 2

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Questions in pic plz help

Answers

Answer:

i think its c

Step-by-step explanation:

2(4x-1) = -8x-2 no solution or infinitely many solution

Answers

The answer is No solution

Answer:

One solution only.

Step-by-step explanation:

2 ( 4x - 1 ) = -8x - 2

8x - 2 = -8x - 2

0 = 0

One solution only.

Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a standard deviation of $9300. Using chebyshev's theorem, state the range in which at least 88.9%of the data will reside

Answers

Answer:

Range  = (237100, 292900)

Step-by-step explanation:

Using Chebyshevs Inequality:

[tex]P(|X - \mu | \le k \sigma )\ge 1 -\dfrac{1}{k^2}= 0.889[/tex]

[tex]1 -\dfrac{1}{k^2}= 0.889[/tex]

[tex]\dfrac{1}{k^2}= 1- 0.889[/tex]

[tex]\dfrac{1}{k^2}=0.111[/tex]

[tex]k = \sqrt{\dfrac{1}{0.111}}[/tex]

[tex]k \simeq 3[/tex]

Thus, 88.9% of the population is within 3 standard deviation of the mean with the Range = μ  ±  kσ

where;

μ = 265000

σ = 9300

Range = 265000  ±  3(9300)

Range = 265000  ± 27900

Range =   (265000 - 27900, 265000 + 27900)

Range  = (237100, 292900)

What is the slope of the line through (2,-2)and(9,3)?

Answers

Answer:

5/7

Step-by-step explanation:

y2-y1/x2 -x1

3 - (-2)/9-2

3+2/9-2

5/7

Answer:

M=5/7

Step-by-step explanation:

Hope this helps!! Please consider marking brainliest! Have a good one!!

HELP please again ;-;

Answers

Answer:

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

Hope this helps!

Answer:

Step-by-step explanation:

Slope= (y1-y2)\(x1-x2)=(3-4)\(6-8)=0.5

A wire is needed to support a vertical pole 4 feet tall. The cable will be anchored to a stake 3 feet from the base of the pole. How
much cable is needed?
4 ft
3 ft
A cable of length
feet is needed.
Enter your answer in the answer box.

Answers

Answer:

I think its 5 feet

Step-by-step explanation:

I used Pythagorean theorem

how many times does 67 117

Answers

7839 i think that’s right
67 can only go into 117 once
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