Orchestra Tonight is selling tickets for its local performance. Orchestra fans can buy tickets to sit in the balcony or on the top floor of the concert hall. Tickets for balcony seats are $83 each. Tickets for seating on the floor are 60% of the price of the balcony tickets. Which inequality represents all possible combinations of f, the number of tickets for floor seats and b, the number of tickets for balcony seats, that a person can buy and spend no more than $560. a 83b+138.33f>560 b 83b+49.8f>560 c 83b+49.8f\le560 d 83b+138.33f\le560

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Given that:

Cost of balcony seat = $83

Cost of seating on floor = 60% of balcony seat = 0.6 * $83 = $49.8

Number of tickets for floor seat = f

Number of tickets for balcony seat = b

Total amount to spend should not exceed $560;

[(Cost of balcony ticket * number of balcony tickets) + ( cost of floor tickets * number of floor tickets)] ≤ 560

83b + 49.8f ≤ 560

The closest from the options given is :

83b + 49.8 < 560


Related Questions

A motorboat maintained a constant speed of 16 miles per hour relative to the water in going 55 miles upstream and then retuming. The total time for the tip was 8.0 hours. Use this information to find the speed of the current.​

Answers

Answer:

6 mph

Step-by-step explanation:

Let the speed of the current be c

Time upstream is

55/(16 + c)

Time downstream is

55/(16 - c)

Total time is 8 hours

55/(16 + c) + 55/(16 - c) = 855(16 -c + 16 + c)/(16 + c)(16 - c) = 855*32= 8*(16² - c²)220 = 256 - c²c² = 36c = 6 mph

What is the volume of a hemisphere with a radius of 9.7 cm, rounded to the nearest tenth of a cubic centimeter? please i need help ill do a zoom call and i'll give you all my Branly points if uu help me.

Answers

Answer:

volume of hemisphere =1912.26cm^3

Step-by-step explanation:

radius(r)=9.7cm

now volume of hemisphere=(2/3)π[tex]r^{3}[/tex]

                                           =(2/3)*(22/7)*(9.7)^3

                                            =(2/3)*(22/7)*912.673

                                              =(2/3)*2868.40086

                                             =1912.26cm^3

The volume of a hemisphere is [tex]1910.52 cm^{3}[/tex].

What is volume of a hemisphere?

A hemisphere is half of a full sphere, we can calculate the volume of a hemisphere just by halving the volume of the complete sphere.

So, we can calculate the volume of a hemisphere by using the following formula,

[tex]$V=\frac{2}{3}\pi {{r}^{3}}$[/tex]

Here, [tex]r[/tex] is the radius, [tex]V[/tex] is the volume of hemisphere.

So,

It is given that the radius is [tex]9.7 cm[/tex].

We have to find [tex]V[/tex].

So,

[tex]$V=\frac{2}{3}\cdot 3.14\cdot {{\left( 9.7 \right)}^{3}}$[/tex]

[tex]V=1910.52[/tex]

Hence, the volume of hemisphere is [tex]$1910.52\text{ c}{{\text{m}}^{3}}$[/tex].

Learn more about volume of hemisphere here,

https://brainly.com/question/23118911

#SPJ2

Of the 342 students in sixth grade, 178 are car riders. What percent of the
sixth grade students are car riders?

Answers

Answer:

164

Step-by-step explanation:

342-178=164 im not sure i understand it but i think thats the answer HOPE I HELPED

Answer:

About 52 percent are car riders.

Step-by-step explanation:

Using cross multiply, you should set up this: ?/100 178/342

Now you multiply 178 by 100 to get 17800

Next you divide 17800 by 342.

You get: 52.0467836257

Round to get 52.05 percent.

Hope this helps, have a nice day! (^-^)

M=2 and containing the point (7,6)

Answers

Answer:

[tex]the \: equation \: of \: the \: line \: is \to \\ \boxed{ \underline{y = 2x - 8 }}[/tex]

Step-by-step explanation:

[tex]according \: to \: the \: provided \: info : \\ the \: equation \: of \: the \: line \: is \to \\ y - y_{1} = m(x - x_{1}) \\ y - 6 = 2(x -7) \\ y = 2x - 14 + 6 \\ \underline{y = 2x - 8 }[/tex]

Equation will be
(y - 6) = 2(x-7)
y-6 = 2x-14
2x-y= 14-6
2x-y=8

7) If x-2 is a factor of P(x)= x^2-5x+a then find the value of a

2
3
4
6
please answer​

Answers

Answer:

a = 6

Step-by-step explanation:

Given that (x - 2) is a factor of P(x) , then P(2) = 0 , that is

P(2) = 2² - 5(2) + a = 0 , so

4 - 10 + a = 0

- 6 + a = 0 ( add 6 to both sides )

a = 6

While the family went on vacation, Lisa boarded her cat at a kennel that charged $9.25 per day. If
Lisa boarded her cat for 1 week and 5 days, how much did it cost her to board her cat?
A $18.25
B $74.00
C$111.00
D Not Here

Answers

Answer:C

Step-by-step explanation: 7+5=12 12x9.25=111.00

Answer:

C

Step-by-step explanation:

1 week is seven days. 7 + 5 is 12. to get your answer you multiply the number of days by the cost. 12 x $9.25 is $111 dollars

Enter your answer by filling in the boxes. (Please answer quick)

Answers

F is -10,0
H is -5,4
G is -5,0
mang !!!

marking brainliest to whoever gives me the correct answer and i good explanation!

Answers

Answer:

Step-by-step explanation:

The triangle should equal 180 degrees. You already have 84+60= 144

Take that 144 with the equation of the other angle. 144-180 is 36

5x+1=36 subtract 1 from both  sides

5x=35 divide by 5

x=7

check:

36 + 84+60= 180

2,806 ÷ 15 plese hepl me

Answers

The answer is in the picture.

Answer:

187.0

Have a good day children <3

The Mayflower started with 150 passengers. It lost 60% due to illness. How many people remained?

Answers

Answer:

90 people.

Step-by-step explanation:

60% can be deduced to a fraction of 6/10. If 6/10=150, then you can cross multiply 6*150 and 10*1. 900/10=90.

Devaughn is 13 years younger than Sydney. The sum of their ages is 79 . What is Sydney's age?

Answers

Answer:

26

Step-by-step explanation:

Let D =Devaughn's age

S= Sydney's age

So D+S=64

D=S+12

Now

D+S=64⇒D=64−S

and so

S+12=64−S 2S=52

S=26

Therefore

D=S+12

D=38

State if the given functions are inverses.

Answers

B is the answer Eng 2020

PLEASE HELP ASAP VERY IMPORTANT I WILL DO ANYTHING THNK YOU SO MUCH ITS MY BDAY TMRW TOO

Answers

Answer:

i dont have the answers i just wanted to say happy b day

Step-by-step explanation:

A rope is 225 centimeters long.
You need the rope to be 1 1/2 meters long.

How many centimeters should you cut off?

Answers

Rope = 225 cm

Needed rope = 11/2m = (11/2) × 100 cm = 550cm

So, rope needed to be cut

= 550cm - 225cm

= 225cm

=225/100m

=2.25 m

What is f(4) for the function f(x) = 6x +3?
f(4)=0

Answers

F(4)=6(4) +3
= 24+3=27
F(4)=27.

The value of function  f(4) is 27.

It is required to find the value of function  f(4).

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The function is

f(x) = 6x +3

Now put the value x=4 in the given function, we get

f(4)=6(4) +3

= 24+3

=27

f(4)=27.

Hence, the value of function  f(4) is 27.

Learn more about function here:

https://brainly.com/question/19013514

#SPJ2

What decimal number does point A on the number line below represent?

A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the first tick mark below negative 1.00.

−0.75
0.75
−1.25
1.25

Answers

Answer:

I think it is 1.25

Step-by-step explanation:

Sorry if I'm wrong

Answer:

-1.25

Step-by-step explanation:

the sum of 3 consecutive numbers is 99 what are the numbers ​

Answers

Answer:

32+33+34

Step-by-step explanation:

If I understand the question correctly, you're looking for 3 different numbers that are all consecutive that add up to be 99. The way I did it was finding 3 consecutive numbers that add to 9. 2, 3, 4. I knew the 10s place had to be a 3 because 30+30+30=90, 2+3+4=9, 90+9=99

There are 12 members in a family and 8 of them are males.
(i) Find the ratio of the number of males and females.
(ii) Find the ratio of the number of females and the total number of members.


please fast

Answers

i) the ratio of males to females is 8:4
ii) the ratio of females to total number of family members is 4:12

i) because the total number is 12
12-8=4
therefore there are 4 females in the family
So the answer is 8:4

ii) because we know there are 4 females and there’s 12 members in the family so the answer is 4:12

1. Priya jogs at a constant speed. The relationship between her distance and time is
shown on the graph. Diego bikes at a constant speed twice as fast as Priya.
Sketch a graph showing the relationship between Diego's distance and time.

Answers

Answer:

Step-by-step explanation:

Relationship between distance the distance and time for Priya has been given  in the graph.

Therefore, slope of the line on the graph will represent the speed of jog of Priya.

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points lying on the line.

Since, (0, 0) and (0.4, 2) are lying on the line.

Therefore, slope or speed of the line will be,

Speed = [tex]\frac{2-0}{0.4-0}[/tex]

           = 5

Now Diego bikes at a speed twice as fast as Priya,

So Diego's speed = 5×2 = 10 mile per hour

Therefore, slope of the line for Diego on graph will be,

m = 10

Line passing through origin and slope = 10 will be,

y = 10x

Points representing Diego's speed will be,

x      0      0.1       0.2     0.3     0.4     0.5

y      0        1          2        3        4         5

Now we can graph these points to get the line.

Relationship between distance the distance and time for Priya has been given  in the graph.

Therefore, slope of the line on the graph will represent the speed of jog of Priya.

Slope =

Where  and  are the points lying on the line.

Since, (0, 0) and (0.4, 2) are lying on the line.

Therefore, slope or speed of the line will be,

Speed =

          = 5

Now Diego bikes at a speed twice as fast as Priya,

So Diego's speed = 5×2 = 10 mile per hour

Therefore, slope of the line for Diego on graph will be,

m = 10

Line passing through origin and slope = 10 will be,

y = 10x

Points representing Diego's speed will be,

x      0      0.1       0.2     0.3     0.4     0.5

y      0        1          2        3        4         5

Now we can graph these points to get the line.

Which of the below images is a translation of.....

Answers

Answer:

I believe a

Step-by-step explanation:

It’s defnetily b a translation is to move up down or right left

When 4(0.5x+2.5y-0.7-1.3y+4) is simplified, what is the resulting expression?

Answers

Answer:

2x + 4.8y  +13.2

Step-by-step explanation:

1. (4)(0.5x+2.5y+−0.7+−1.3y+4)

2. (4)(0.5x)+(4)(2.5y)+(4)(−0.7)+(4)(−1.3y)+(4)(4)

3. 2x+10y−2.8−5.2y+16

4. 2x + 4.8y  +13.2

I hope this helped, please mark Brainliest, thank you!!

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

To factor 9x^2- 4, you can first rewrite the expression as:
O A. (3x-2)^2
O B. (x)^2-(2)^2
C. (3x)^2-(2)^2
D. None of the above

Answers

Answer:

D

[tex](3x - 2)(3x + 2) \\ [/tex]

6w-19+k when w=8 and k=2

Answers

Substitute

6(8) - 19 + (2)

6(8) = 48

48 - 19

29 + 2 = 31

Answer:

f

Step-by-step explanation:

f

Which of the following algebraic expression represents the sum of 6 and one-fifth of x?
A.
6.2x

B.
0.2 + 6x

C.
6 + 0.2x

D.
(6 + x)0.2

Answers

Answer:

C. 6 + 0.2x

Step-by-step explanation:

6 + 1/5 x = 6 + 0.2x

Answer:

c

Step-by-step explanation:

even tho you called my question thicc..

Help me with this please

Answers

Answer:
8x+y

Explanation:
3x+4y+5x-3y
Rearrange the terms so like terms are next to each other
3x+5x+4y-3y
Combine like terms
8x+y

I hope this helps!

Please help I'm not sure what to do first.​

Answers

Answer:

17

Step-by-step explanation:

it has to be under 90 degrees

Find the slope of the line passing through the given points using the slope formula. Describe the slope as positive, negative, zero, or undefined.

(−7, −18) and (−7, −4)

Answers

Answer:

Undifined

Step-by-step explanation:

A carpet cleaning company will clean an apartment for $71.00. Jim has a coupon for 20% off the total price.
How much money will Jim save if he uses the coupon?

Answers

Answer:

Step-by-step explanation:

Jim will save $14.20

To calculate this we use multiplication, multiply $71.00 with 20% which in decimal form

Comes to .20.

The end result is $14.20.

Step-by-step explanation:

Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My

Answers

Answer:4.4x+10

Step-by-step explanation:

Write 33 x V3
as a
single power of 3.

Answers

Answer:

555555

Step-by-step explanation:

Other Questions
GR has coordinates g (2, -2) and R (3,8) and it is the result of thedilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM who was included in the republican party of 1854? four answers what this is common denominator of 3/3c 1/9c and. x-1/6c. ? a.108b.18cc.54cd.9c6 Describe the origin and contributions of the Berbers What is the distance between the points: (-1,3) and (7,-5) ?Round your answer to the nearest tenth. solve for the missing side Describe the white planters in the Haitian revolution and why they wanted a revolution What was ethnocentric about the picture? 4-5 complete sentencesHELPPPPPPPPPP Describe the alternation of generations in plants. (2 points) Conflicting evidence quick check These answers are right 15 COMPLETE the sentences with the correct past form ofthe verbs in brackets.1 When ......(decide) to become a journalist,..............(already / finish) my degree.2 'Was Paul at the party when you(arrive)?' 'No, he(head) back home.3 The house was very quiet when I(get)home. Everybody(go) straight to bed.4 Sorry, I'm late. My car(break) down onmy way here.5 He was driving along the road when he(see) a man next to his motorbikewhich ......(stop).6 When we(get) to the office yesterdaymorning, we realized somebody(break) into it during the night. Air is.....A. ElementB. CompositeC. Homogeneous mixturesD. Heterogeneous mixtures what is an erg, and what challenges do they pose for people. guys what is this?....... Poetry,Essay, and novel make a definition Which of the following improves the expression of emotion in the statement,YOu are making me anxious A flat-screen television was marked down by 35 percent, which reduced its price by $115.65. What was the original cost of the television before it was marked down?$214.78$330.43$404.78$4,047.75 solve the equation 60=4y can someone do this for me i don't get it. What is TR(39)? pls help this is going to be on my exam...