Lauren is booking a band and a DJ for a dance, and wants to keep the cost of the
entertainment under $1,300. A band can play for part of the time at an hourly rate of $120,
and a DJ can play for the remaining time at an hourly rate of $92.
Select the inequality in standard form that describes this situation. Use the given
numbers
and the following variables.


x = the number of hours the band will play
y = the number of hours the DJ will play

Answers- A 120+x+92+y>1,300
B: 120x+92y>1,300
C: 120x+92y<1,300
D: 120+x+92+y<1,300

Answers

Answer 1

Answer:

C: 120x+92y<1,300

Step-by-step explanation:

Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.

Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y

The total cost of the band is DJ playing is thus 120x + 92y.

Since we require this to be under $1,300, we us the less than sign '<' to show the relation.

So, 120x + 92y < 1300

So, the answer is C


Related Questions

Solve for m.
9m - (6m - 7) = 2 (m - 3)

Answers

Answer:

[tex]\boxed{\boxed{\tt m=-13}}[/tex]

Step-by-step explanation:

[tex]\tt 9m-\left(6m-7\right)=2\left(m-3\right)[/tex]

Expand, Apply the Distributive property:

[tex]\tt 9m-\left(6m-7\right)\leadsto \underline{3m+7}[/tex]

[tex]\tt 2\left(m-3\right)\leadsto \underline{2m-6}[/tex]

[tex]\star \:\:\tt 3m+7=2m-6[/tex]

Subtract 7 from both sides:

[tex]\star \:\:\tt 3m+7-7=2m-6-7[/tex]

[tex]\star \:\: \tt 3m=2m-13[/tex]

Subtract 2m from both sides:

[tex]\star \:\: \tt 3m-2m=2m-13-2m[/tex]

[tex]\star \:\: \tt m=-13[/tex]

_____________________________

Find the area of this shape

Answers

Answer:

433 m²

Step-by-step explanation:

Find the side length of the square first.

Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.

[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]

=[tex] \sqrt{51.84} [/tex]

= 7.2 m

Therefore the side of the square is

7.2 ×2

= 14.4 m

The area of the square

= 14.4²

= 207.36 m²

You are able to find the area if of the 2 triangles.

(7.2 × 9.6)÷2 ×2

= 69.12 m²

The height of the pentagon

= 25.4 - 7.2

= 18.2 m

The area of the pentagon

= (10+7.2) × 18.2 ÷ 2

= 156.52 m²

Add up the areas of the 3 polygons.

The area of the shape

= 207.36 + 69.12 + 156.52

= 433 m²

Choose the mixed number that is equivalent to $ 1.32.​

1 32 /100

3 12/100

1 32/10

32/100

Answers

Answer:

1.32/100

Step-by-step explanation:

Address input parameters and values. Input parameters and values: The decimal number = 1.32Write it as a fraction ; 1.32/1Multiply 100 to both numerator and denominator

(1.32×100)/(1×100) = 132/100

It can be written as 132%= 132/100 or 132/100

4. To simplify 132/100 to its lowest terms, find LCM for the 132 and 100

4 is LCM for 132 and 100.

5. Divide numerator and denominator by 4

132/100=(132/4)/(100/4)=33/25.

33/25 is a simplest fraction for the decimal point number 1.32.

Answer:

132/100

Step-by-step explanation:

When you multiply by 10,100,1000.... you add zero. For example:132×10=1320 132×100=13200When you devide by 10,100,1000 you decrease the number starting from the right to left. For example: 132/10=13,2 132/100=1,32. NOTE it depends on the number of zeros.

Alguien me ayuda tiene que ser sobre Bosques tropicales secos
Cantidad de especies
Superficie aprovechada
Área en peligro

Answers

Answer:

asd

Step-by-step explanation:

asddffffffff

A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. What is the missing value in the table?

A. 11
B. 10
C. 8
D. 9​

Answers

Answer:

D. 9

Step-by-step explanation:

If you count the number of squares that are pink with polka dots, you notice that there are 9 of them.

Answer:

D. 9.

Step-by-step explanation:

There is a ? on pink polka dots, so we have to count how many pink polka dots there are.

There are 9 pink polka dots in the color pattern.

Element X is a radioactive isotope such that every 30 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 100 grams, how long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

Answers

Answer:

19.3 years

Step-by-step explanation:

Given that the initial mass of a sample of Element X is 100 grams,

The formula is given as:

N(t) = No × (1/2) ^t/t½

Element X is a radioactive isotope such that every 30 years, its mass decreases by half.

N(t) = Mass after time (t)

No = Initial mass = 100 grams

t½ = Half life = 30 grams

N(t) = 100 × (1/2) ^t/30

How long would it be until the mass of the sample reached 64 grams, to the nearest tenth of a year?

This means we are to find the time

N(t) = 100 × (1/2) ^t/30

N(t) = 64 grams

64 = 100(1/2)^t/30

Divide both sides by 100

64/100 = 100(1/2)^t/30/100

0.64 = (1/2)^t/30

Take the Log of both sides

log 0.64 = log (1/2)^t/30

log 0.64 = t/30(1/2)

t = 19.315685693242 years

Approximately = 19.3 years

what is 1+2+3+4+5+6+7+8+9

Answers

Answer:

45

Step-by-step explanation:

The answer to 1+2+3+4+5+6+7+8+9 is 45

45
EXPLANATION
It wasent that hard really just use a calculator

Maisiereceives a weekly paycheck from her boss she spent half of this week paycheck on food and spent and additional 5.00 on a taxi . If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck

Answers

Answer:

If she didn't spend any additional money and finished the week with 41 how much is Masie weekly paycheck. 1. See answer.

ILL MARK BRAINLIEST TO FIRST PERSON TO ANSWER CORRECTLY

Which One Doesn't Belong? Determine which equation from the four below doesn't belong and justify your answer. Could there be a different answer?

Answers

Answer:

what on the planet is the question

Left box on the bottom, because they don’t look exactly parallel to one another.

The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code reader. Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.

Just to be sure, the manager has six more samples taken:

33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

How reasonable is it to expect that the small sample represents larger samples?

Answers

Answer:1A. 20.5

2A. 14.54

1B. 14.625

2B. quite good reasonable

Step-by-step explanation:

Mean is used to measure central tendency (i.e. representative of data) and standard deviation is use to measure dispersion of data. The formula use to calculate mean and variance is :

1A. Mean of six sample =

⇒  

⇒ Mean = 20.5

Standard deviation of six sample =

⇒ σ = 14.54

2A. Total number of error = 36 + 14 + 21 + 39 + 11 + 2 = 123

Total number of error made by all scans is 123 error per 6000 scans.

1B. Mean of all 12 samples is:

⇒  

⇒ Mean = 23.5

Standard deviation of all 12 samples =

⇒ σ = 14.625

2B. Taking small sample instead of large sample can be quite risky sometimes as larger sample give us more accurate result than small sample.

But here we can take a small sample because the mean of both the size of the sample is near about.

Step-by-step explanation:

please describe the difference between the slope and the y-intercept. Please also describe how we can use the slope and y-intercept to graph.

Answers

Answer:

The slope is basically the rate of change in which it describes how steep the line is. The y-intercept is a point in the graph in which a point crosses the y axis.

The slope and the y-intercept is connected with the formula y=mx+b, where b is the y intercept and mx is the slope. With this equation, you can graph by first putting your y-intercept (b) in the graph, remember that the y-intercept has x as 0, for example (0,4) or (0,12). After that, all you have to do to complete the line is to use the slope by plugging the x to the slope and adding the y-intercept.

Now you might have a little idea of what is the slope and y-intercept, and might still be confused on certain things, so ill give an example.

ex) you are given the formula y=2x+4 and you are asked to graph it

step 1) you take the b, which is 4 and put it in the graph, knowing the the point is (0,4) because b is the y-intercept, which means that x=0.

step 2) take a random x point on the xaxis and plug it in the formula, then you add the b (4), lets say x=2

so it will become 2(2) +4 = 6, so when x=2, y is 6.

Now you have found 2 points, (0,4) and (2,6), all you have to do is plug it in the graph.

The graph is drawn below.

If you have anymore questions, don't hesitate to message me.

Hope that answers your question, good luck in your test

ps. Math becomes waaaay harder

Step-by-step explanation:

4 The rate of compound interest is 7.5%. How long will it take for an investment of $4500 to
be worth more than $7000?

Please use the compound interest formula for IGCSE:
[tex]p(1 + \frac{r}{100} ) {}^{t} [/tex]


Answers

Here is the result.....

PLEASE HELP ME I PROMISE A BRAINLIEST AND 5 STARS AND TY IF RIGHT PLEASE IM CONFUSED C: NO LINKS OR REPORT RIGHT AWAY >:(
please find the probability of what would happen for the 3 questions marked with black and has independent on them c:

Answers

Answer:

Total number of candies:

6 + 3 + 5 + 2 = 16

Q1

P(2 red) = 3/16*3/16 = 9/256

Q2

P(a yellow and a blue) = 2/16 * 6/16 = 3/64

Q3

P(2 greens and a red) = 5/16 * 5/16 * 3/16 = 75/4096

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25

Which of the following could be the second equation in his system of equations?
3x + 4y = 7.25

4x + 3y = 7.25

3x - 4y = 7.25

(3 + 4)x = 7.25​

Answers

Answer:

p + 2c = 3.25 Start with these two equations

3p + 4c = 7.25

p = -2c + 3.25 Solve for one variable

3(-2c +3.25) + 4c = 7.25 Substitute

-6c + 9.75 + 4c = 7.25

-2c = -2

c = 1

p + 2(1) = 3.25 Substitute

p + 2 = 3.25

p = 1.25

A bag of chips costs $1

A pickle costs $1.25

Step-by-step explanation:

pls mark me brainless

any number to the___power is 1

Answers

Answer:

0 power

Step-by-step explanation:

Hello, any number to the 0 power is 1 because there is no product for the number at all so it would be identified as 1.

Answer:

0

Step-by-step explanation:

Any number raised to the power of one equals the number itself. Any number raised to the power of zero, except zero, equals one. This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base.

The equation of a line in slope intercept form that is perpendicular to y=-1/3 x +5 and goes through the point (-1,3)

Answers

Answer:

y = 3x + 6

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y intercept

The slope of the first line is -1/3

when two lines are perpendicular, the product of their slopes is equal to -1

Thus;

-1/3 * m2 = -1

-m2 = -3

m2 = 3

So the equation of the second line is;

y = 3x + b

To get b, we substitute the coordinates of the point (-1,3)

We substitute -1 for x and 3 for y

so, we have;

3 = 3(-1) + b

3 = -3 + b

b = 3 + 3

b = 6

So we have the second equation as;

y = 3x + 6

Can someone help me with this? (8x+5)+(−x 2−8)

Answers

Answer:40=6

Step-by-step explanation:

Answer:

[tex]-x^{2} + 8x - 3[/tex]

Step-by-step explanation:

What is the area of a regular hexagon with perimeter of 90 ft?

Answers

Answer:

A=584.57

Step-by-step explanation:

A teacher is making worksheets for the next unit. He can create 3 worksheets in an hour and has 10 worksheets already created from the previous year. Which of the following lengths of time worked will not be long enough for the teacher to have created 27 worksheets. * Check All That Are True*
6 hours, 10 hours, 8 hours, 2 hours, 4 hours

Answers

Answer:

2 hours, 4 hours

Step-by-step explanation:

So lets go over what we know.

There are already 10 worksheets created.

Every 1 hour 3 more are made.

27 worksheets need to be made.

Ok, the first thing we can do is subtract the amount of worksheets needed by the amount we laready have:

27-10

=

17

Now, lets divide the amount of worksheets we still need, by how many we make each hour:

17/3

=

Well, 3 goes into 15, 5 times. Then 2 is left. So we know it takes 5 2/3 hours to create all 27 worksheets.

Looking at the answers, 6 hours, 8 hours, and 10 hours would work. However 2 hours and 4 hours would not work.

Hope this helps! ;)

what is root 3 × 2 root 3​

Answers

Answer:

3

Step-by-step explanation:

The principal, real, root of:

[tex]\sqrt[2]{3}[/tex]

=1.73205081

All roots:

1.73205081

−1.73205081

 

3 is not a perfect square

HELP ASAP PLEASE DONT GUESS MY GRADE IS ON THE LINE jim and joan miller are customers applying for a mortgage jim and Joan Miller are borrowing 120,000 at 6.5% per annum compounded monthly for 30 years to purchase a home their monthly payment is determined to be 758.48 •a recursive formula for their balance after each monthly payment has been made •a determination of Jim and Joan balance after the first payment •determine when the balance will be below 75,000 •determine when the balance will be paid off •determine the interest expense when the loan is paid

Answers

Step-by-step explanation:

So, the account is at 0 initially; after the 1st payment made to the statement, the only balance it'd have, is the first payment amount, so namely, what's the monthly amortized cost.

Ex.: the picture

So let's do the same!

pymt: 120,000 [0.049/12/1 - (1 + 0.049/12) -12 x 20]

Hope this helped!

PLSS HELP ME ITS TIMED ILL MARK BRAINLIEST

Answers

Answer:

56 times 52 times 76 divide by 4 = ? times 3 dont forget to add cm cubed at the end

Step-by-step explanation:

Using Angle Relationships to Solve Equations

Answers

Answer:

8.  x=19

9. 42

10. 23

Step-by-step explanation:

8.

x+x+4+3x-9 =90

5x-5=90

x= 19

9.

x=19

x+4= 23

19+23=42

10.

x+4=23

 The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling​ tickets, the members would like to raise ​$3900 every night to cover all expenses. Let d represent the number of adult tickets sold at ​$8.50. Let s represent the number of student tickets sold at ​$5.50 each. If all seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$​3900? At one performance there were times as many student tickets sold as adult tickets. If there were tickets sold at that​ performance, how much below the goal of ​$3900 did ticket sales​ fall?

yeah

Answers

Answer:

$137.00

Step-by-step explanation:

add all the money then add the 600 to the money u get.

The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Triangle A B C with a perimeter of 82 inches is shown. Sides A B and B C have lengths of 24 inches. Point D is the midpoint on side A C.

Which best describes the resulting three-dimensional figure?

Answers

Answer:

A,B and B,C

Step-by-step explanation:

The three demincanal she would be a triangle and they have small sides so that would be your answer.

PLEASE HURRY TIMED BRAINLIEST
Which transformations are needed to change the parent cosine function to the cosine function below?

Answers

Answer:

Answer is D

Step-by-step explanation:

Did it on Edge

The transformations are needed to change the parent cosine function to the cosine function is

Vertical stretch of 2 and horizontal compression to a period π/2 and phase shift to π unit left and vertical shift of 1 unit down.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2.

and, after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3

So, vertical stretch of 2 and horizontal compression to a period π/2.

Now, the phase shift to π unit left and vertical shift of 1 unit down.

Learn more about Transformation here:

https://brainly.com/question/22962835

#SPJ7

find the solution of given expression,
[tex] \sqrt{72 \times 2} [/tex]

Answers

Answer:

Solution given:

[tex] \sqrt{72 \times 2} [/tex]

[tex] \sqrt{144} [/tex]

[tex] \sqrt{12²} [/tex]

±12 is a required answer m

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 63 ​students, requires 5 ​chaperones, and costs ​$1,400 to rent. Each van can transport 9 ​students, requires 1​ chaperone, and costs ​$100 to rent. Since there are 756 students in the senior class that may be eligible to go on the​ trip, the officers must plan to accommodate at least 756 students. Since only 70 parents have volunteered to serve as​ chaperones, the officers must plan to use at most 70 chaperones. How many vehicles of each type should the officers rent in order to minimize the transportation​ costs? What are the minimal transportation​ costs?

Answers

Min Cost = $12,200
Number of buses needed = 7
Number of vans needed = 24

Determine the center and radius of the following circle equation:
x² + y2 + 20x – 14y + 133 = 0

Answers

Centre ( - 10 , 7 )

Radius -> 4 unit

What is the perimeter of the triangle?

Answers

Answer:

P = 38

Solution

P=a+b+c=15+8+15 = 38

PLZ GIVE BRAINLIESTTTTT

37 units
if i can count properly
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Choose one type of light and one type of plant, and then observe the plant for at least four weeks, measuring it each day. Una muestra de 800 gramos de avellana con cscara tiene 500 gramos de grano. cuntosgramos de grano habr en 2,4 kg de avellana con cscara? PART A: What is President Obama's purpose in this speech? Read the sentence below.Bryn's favorite piece of clothing in her entire closet was her pair of (old) jeans; they fit perfectly and were just the right color.Which of the following words with similar meanings has a more positive connotation than the word thats in parentheses from the sentence?archaicvintageancientoutdated What are some possible long-term consequences of gang activity? 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Eighty-one million four hundred twelve thousand six hundred fifty Math Please Hurry Im smooth brain