Paula is the student council member responsible for planning an outdoor 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.
Question 1: Band A charged $700 to play for the evening and Band B changers $550 plus $1.50 per student.
Write a system of equations to represent the cost of the two bands.

Answers

Answer 1

Answer:

C(x) = $700 ;

C(x) = $550 + $1.50x

Step-by-step explanation:

Given that :

Band A = $700 to play for the evening

Band B = $550 plus $1.50 per student

Equation for cost of the 2 bands :

Let

cost function= C(x)

x = number of students

Band A:

C(x) = $700

Band B:

C(x) = $550 + $1.50x

Answer 2

The total cost for band A is y = 700 while the total cost for band B is y = 550 + 1.5x

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the rate of change of y with respect to x, b is the y intercept.

Let y represent the total cost and x represent the number of students.

Band A charged $700 to play for the evening, hence:

For band A: y = 700

Band B changers $550 plus $1.50 per student, hence:

For band B: y = 550 + 1.5x

The total cost for band A is y = 700 while the total cost for band B is y = 550 + 1.5x

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Related Questions

The distances traveled by car A car Afx x hours. are. represented by the graph and table below.

Answers

Answer: b

Step-by-step explanation:

The speed of car B is twice the speed of car A.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal. Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

For car A,

Time= 5 hours

Distance = 200 miles.

speed= 200/5

speed= 40 mph

and, In car B

Time= 6 hours

Distance= 480 miles

speed= 480/6

speed= 80 mph

Hence, the speed of car B is twice the speed of car A.

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it is given that x+4 is a factor of p(x)=2x³+3x²+ax-12.When p (x) is divided by x-1 the remainder is b.Show that a=-23 and find the value of the constant b​

Answers

Answer:

Thanks for the points

MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations

Answers

90-42=48
48/6 = 8
The 6 student each handed out 8 invitation

I will award 30 points to anyone that can solve this. If i fail i have to retake

Answers

Answer: it’s all in the pictures hope this helps!!:)

Step-by-step explanation:

Answer:

x=-4, y=1

Step-by-step explanation:

MS.Robertson owns a large daycare center. she is required to have 1 supervisor for every 4 trainees. if she currently has 2 supervisors and 20 traineess what is the minimun number of additional supervisors she most hire?

Answers

Answer:

She needs a minimum of 5 supivisors.

Step-by-step explanation:

Answer: this isn’t my solution/ your question but I think this can help. All you have to do is substitute the information here for your information.

Hopefully this helps

Given: AC = 40. Fill in the reason that justifies each step.
(4x+4)+(5x)=(40)
9x + 4 = 40
9x = 36
x = 4
Will give brainliest

Answers

Answer:

True, every step that was done is correct.

Step-by-step explanation:

Since that whole line of AC equals 40, and that (4x+4)+(5x) also equals the whole line, you can just do it this way: (4x+4)+(5x)=40  Solve for x and x will equal 4.  I even used an algebra calculator to solve for x and the calculator indeed said that x=4 (the image is shown below on the calculator I used to solve for x).

Hope this helped! :)

Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6

Answers

I have no idea sorry
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−9x-6


what is (-4) + 3 + (-5)

Answers

Answer:

-6

Step-by-step explanation:

-4 + 3 = -1

Add -1 to -5

-6

Hope this helps :)

Answer:

-6

Step-by-step explanation:

its addition so u can move them around due to (addition property)

so i took (-4) plus (-5) and got (-9)

then took (-9)+3 and got (-6)

what is 3 divided by 1/6?

Answers

Answer:

18

Step-by-step explanation:

Answer:

The correct answer is 18

Step-by-step explanation:

HAVE A GOOD DAY!

Help please!!! Math, look at the picture. When you click the pic it's clearer

Answers

Answer:

radius: 4.2 cm

circumference: 26.376 cm^2

area: 55.3896 cm^2

Step-by-step explanation:

radius is half the diameter so 8.4/2 = 4.2

circumference: C = (2)(pi)(r) ---> (2)(3.14)(4.2) --> 26.376

area: (pi)(r ^2) --> (3.14)(4.2^2) --> 55.3896

Which equation best models the data shown in the scatter plot?

In the graph of scatter plot, the range of the x axis is minus four to four by increment of one and the range of the y axis is minus seven to one by increment of one. On the x axis minus four, minus two, two, and four are labeled. On the y axis minus six, minus four, and minus two are labeled. On the graph, there are points at (-0.5, -7), (0, -5), (0.5, -4), (1, -3), (1, -1), and (2, 1).

A. y = x − 3
B. y = x − 5
C. y = 3x − 3
D. y = 3x − 5

Answers

Answer:

The correct option is;

D. y = 3·x - 5

Step-by-step explanation:

From the graph of the scatter plot created with Microsoft Excel, we have that the first and the last point describe a line of best fit, (with trend line equation included) therefore, we have;

The slope = (1 - (-7))/(2 - (-0.5)) = 3.2

Taking the slope of the line of best fit as approximately equal to 3, we have;

3.2 ≈ 3

The equation of the line in point and slope form is therefore;

y - 1 = 3 × (x - 2)

y = 3·x - 6 + 1

∴ y = 3·x - 5

Answer:

D

Step-by-step explanation:

Brainliest if correct please help

Answers

Answer:

it is F

Step-by-step explanation:

carrots and beans combined is 11 and corn is 11

F is the correct one

Which situations can be represented by an exponential function select each correct answer A a country's population is decreasing by about 3.5% each year B an investment increases about 1/12 each year c Hadesh travels at 67 mph. D maya adds $22 per week to her checking account

Answers

Answer:

A and B are the correct answers.

Step-by-step explanation:

Sorry If I'm late. I just took the test and got lucky myself.

Isaiah had debt of $440 on his credit card and then paid back $200 . What is the balance of his credit card now

Answers

Answer:

240

Step-by-step explanation:

440 - 400 = 240. i cant really explain-

What is the slope of this line?
A. -1/3
B. 2/3
C. 1/3
D. -2/3

Answers

Answer:

B

Step-by-step explanation:

its B because the line is positive and thats the increase of it

hope this helps :)

mark me brainliest if it did help please

Answer: its B. 2/3

Step-by-step explanation: slope is rise/run. Pick two points and see how much u need to go up and across to get to the next point. I cant explain very well.

Write the equation for the following:
m = 6.5; (0, 3) (Write in the form of y=mx+b with NO spaces!)
EQUATION:

Answers

Answer:

y= 6.5x+3 is the equation

Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.

Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.

Answers

Answer:

Diego is correct, he should move back one space.

Step-by-step explanation:

If every 5th customer gets a free bagel then you should be able to count up by 5s to figure out which people get the bagel. (5, 10, 15, etc.)

It would be the same for 9 and 12 (9, 18, 27, etc.) (12, 24, 36, etc.).

However, 23 is not divisible by 5, 9, or 12 (I moved on to division because it's the fast way to check)

But if you look at the multiples of 12 then you'll see that the 24th person would get a prize.

So, Diego should go back one space in order to get a prize because 23 is not  a multiple of 5, 9, or 12. However, 24 is a multiple of 12.

Hope this helps and makes sense.  

Simplify 3[2^3+(4/2)^3-(6-3)^2]

Answers

Answer:

3(2^3+({4}/{2}^3-(6-3)^2)=21

This simplified would be 21

What is the product of:
200 x 32.6.

Answers

Answer:

6,520

Step-by-step explanation:

Because that is the answer when you multiply them together.

Answer:

6,520

Hope this helps!

Tyler's brother earns $12 per hour. The store offers him a raise - a 5% increase per hour. After the raise, how much will Tyler's brother make per hour?

Answers

Answer: $12*0.05=$0.60. Then, add this amount to his current hourly rate. So he now makes $12.60.

PLEASE ANSWERRRR!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST!!

The scatterplot for a set of data points is shown. Choose the BEST estimate for R, the correlation coefficient.


Have a good day!!

Answers

I would say (1.7, 2.5) would be best for R (im pretty sure its where the blank is at lol)

btw I like your pfp :D

Find the slope-intercept equation of the line.

Need the equation
Plz help not jus the answer

Answers

Answer:

y=-3x+5

Step-by-step explanation:

Answer is Y=-3x+5

Answer:

y = -1/2x + 5

Step-by-step explanation:

First, we need to find the slope. Slope is nothing but the height of the triangle over the length of the triangle. Since the height is 5 is the length is 10, the slope should be 5/10. But, since the line is slanting downwards, the slope is negative. So it is -5/10, or -1/2 when simplified. Next, we need to find the y intercept. Y intercept is nothing but where the line crosses the y axis, so the y intercept should be 5. The slope intercept is y = mx+b, where m is the slope and y intercept is b, so our equation should be y = -1/2x + 5.

The reason that we are not counting the individual squares is because they already labeled the graph. So, we have to count accordingly.

C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4

Answers

Answer:

36 ÷ 9= 4

Step-by-step explanation:

9 x 4= 36

The division equation for this is 36 ÷ 9= 4

The product of the expression 9 and 4 is 36.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Give that we have to multiply 9 with 4.

This means that 9 has to be added repeatedly up to 4 times or 4 has to be added repeatedly up to 9 times.

In both cases, the product must be the same.

9 multiplied by 4 =  9 + 9 + 9 + 9

Which is also equal to,

4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4

= 36

Hence the product is 36.

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plz help i need help im failing

Answers

Answer: It is D

Step-by-step explanation:

It is the 4th table

For x and y values to be a function, it must pass the vertical line test. This means that for every y value, there must be a different x value, or there can be two y values for one x value.

Use inductive reasoning to find the next two terms in the sequence:

400, 200, 100, 50, ______, ______

Answers

25, and 12.5... it is dividing by a half each time, so half of 50 is 25 and half of 25 is 12.5, hope this helps!

Help emnenenememmeemmenenedudhshs

Answers

Es no sé lo dirbyo esq ir 34\ 57 y 36/89 es necesario ntp eh lo

find the solution to the following system using substitution or elimination:
y = 3x + 2
y = -2x - 8
A. (-2, -4).
B. (-3/5, -34/5).
C. (-6/5, -8/5).
D. (1, 6)

Answers

Answer: A

Explanation:

Just use substitution because it's more efficient. Plug -2x-8 into y to make -2x-8=3x+2. Add 8 to both sides to get -2x=3x+10. Subtract 3x to both sides to get -5x=10. Divide -5 to both sides to get x=-2. Now, plug in x=-2 to one of the equations, let's use y=3x+2. The equation would be y=3(-2)+2. Multiply 3 and -2 to get -6. Add -6 to 2 and you'll result with y=-4.

It should be A (-2,-4). When using elimination.

HELP ME PLEASE DON’T STEEL MY POINT

Answers

Make the 2x a fraction so it’s 2/1x then start at -5y then go up 2 and over 1 to get your answer hope that helped

Convert standard form 4x-2y=6

Answers

Answer:

4x(-2)x(-2)=6

Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.

$16.52 per 6 yd
$13.85 per 5 yd

a
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither

Answers

Answer:

It's A

Step-by-step explanation:

hope the pic helps b/c you deleted my last answer so i hope this is more of use to you :)

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