Mark and Heather Starr are celebrating their 25th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $60 cleanup fee plus $39 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer 1

Answer:

62 persons

Step-by-step explanation:

Step one:

given data

total budget=$2500

we are told that the hall charges $60 for cleanup, the amount is a fix charge

and per person is $39

let the number of persons be x

The model for the situation is described by y=mx+c

Step two:

2500=39x+60

solve for x

2500-60=39x

2440=39x

divide both sides by 39 we have

x=2440/39

x=62.56

The greatest number of people that they may invite and still stay within their budget.  is 62


Related Questions

LAST ONE I NEED HELP ON PLEASE

Answers

Answer:

A

Step-by-step explanation:

First you find the volume of the cube which is 512. Then you find the volume of the cone which is 133.97333333 and so on. Lastly you subtract 512 by 133.973333333 (and so on) which is 378.026667. Rounded the answer would be 378.0 which is answer A.

Plz mark brainliest!!! I spent lot of time on this.



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:a

Step-by-step explanation:

Solve the system of equations:

3x-3y = -15
and
-x+y = 5

Answers

Answer:

x=0 y=5

trust me I think its right

What is the result of the arithmetic operation?
3**4 =

Answers

Answer:

81

Step-by-step explanation:

i did le math, and its right on ed2020

Kim decides to give her old toys to her younger cousins. She gives her cousin Sarah 2/3. Then, she gives her cousin Ryan 2/5 of the remaining toys. She has 6 toys left. How many toys did Kim have to begin

Answers

Answer:

30

Step-by-step explanation:

Work backwards:

6 is 3/5 of a number, and that number is 1010 is 1/3 of a number, and that number is 30

Check your work:

2/3 of 30=20 toy to Sarah30-20=10 toys left2/5 of 10=4 toys to Ryan10-4=6 toys left

The 9th and the 12th term of an arithmetic progression are 50 and 65 respectively find the sum of the first 70 terms

Answers

Answer:

Sum of the first 70 terms is 12,775

Step-by-step explanation:

For the 9th term, the formula is;

a + 8d = 50

For the 12th

a + 11d = 65

Subtract this from the equation above;

3d = 15

d = 15/3 = 5

To get a, we have a + 8(5) = 50

a = 10

The 70th term

will be

a + 69d

= 10 + 69(5)

= 355

Sum of the first 70

= n/2(a + L)

= 70/2( 10 + 355)

= 35 * 365 = 12,775

Sasha sells T-shirts. Each day she earns a set amount, plus a commission.



Assume Sasha sells 24 T-Shirts in one day. How much would she earn that day?

Answers

Answer:

137$

Step-by-step explanation:

Let the slope of the equation be

[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]

where y = Total pay

x = T-shirts sold

Take any two values of x and corresponding y value

[tex]m=\dfrac{71-68}{2-1}\\\Rightarrow m=3[/tex]

The equation will be

[tex]y=mx+b[/tex]

Finding b

[tex]68=3\times 1+b\\\Rightarrow b=68-3\\\Rightarrow b=65[/tex]

The equation is

[tex]y=3x+65[/tex]

Now sasha sells 24 shirts [tex]x=24[/tex]

[tex]y=3\times 24+65\\\Rightarrow y=137[/tex]

Sasha would earn 137$ on that day.

Solve the equation 186+10x=25.5x to find how many diving lessons


__ lesson(s)

Answers

Answer: x=12

Steps shown in image below:

What is 12.18 x 103 =

Answers

Answer:

1,254.54

Step-by-step explanation:

Answer:

1,254.54

Step-by-step explanation:

Find each unit rate. Determine which is lower. Drag and drop the correct rate or letter into each of the boxes to complete the sentences. Ingredient C: 1/5 cup for 3/4 serving or Ingredient D: 1/4 cup for 4/5 serving.

Answers

Answer:

4/15 < 5/16

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

Step-by-step explanation:

Given the unit rates :

C: 1/5 cup for 3/4 serving or Ingredient

D: 1/4 cup for 4/5 serving

C : 1/5 cup for 3/4 serving

1/5 ÷ 3/4

1/5 * 4/3

= 4 / 15

= 0.2667

D: 1/4 cup for 4/5 serving

1/4 ÷ 4/5

1/4 * 5/4

= 5 / 16

= 0.3125

5/16 > 4/15 ;

Ingredient C < Ingredient D

Hence ingredient C has a lower cup per serving than ingredient D

find the value of x and y
(5y-23)
(2x+13)
(3x)
47​

Answers

Answer:

Hope it help, and please give me Brainlest!

Step-by-step explanation:

I just know this one. I'm so sorry!

2x + 13= [tex]\sqrt{x} = 5[/tex]; x + 9 = -4; [tex]4^{3x + 2} = 4[/tex]

The value of x and y in the given figure is 14° and 23° respectively.

What is a transversal?

We know when a transversal intersects two parallel lines at two distinct points,

Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.

We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.

∴ 47° + (2x + 13)° + (5y - 23)° = 180°.

47° + 13° - 23° + 2x + 5y = 180°.

2x + 5y = 143°...(i).

Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.

∴ 3x + (5y - 23)° = 180°.

3x + 5y = 157°...(ii)

Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.

learn more about transversal here :

https://brainly.com/question/17432060

#SPJ2

The drama club spent $8.50 per person on food for a cast party. The total cost of the food was $229.50. How many people were at the cast party?
A. 27 people
B. 221 people
C. 238 people
D. 1,951 people

Answers

$229.50/$8.50
= 27
27 people

Answer:

27

Step-by-step explanation:

btw just goo. gle the first 5 words with " at each end and it gives you the answer :)

not guaranteed, some dont have

molly bought a lunch special that was originally $14 today it is on sale for 20% off what is the sale price of the lunch special

Answers

$14*.20= $2.80

The sale price is $2.80
14 * .20 = 2.80
14 - 2.80 = 11.20
The sale price is $11.20

Tracy spends $97 on her cell phone bill this month. Her bill is usually around the same amount each month. If she wants to include an estimate of her cell phone bill in her monthly budget, what amount should she use? Round to the nearest ten.

Answers

Answer:

$100

Step-by-step explanation:

97 is rounded to 100 because the last digit is more that 5.

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

By coincidence, Kimberly's Paint Supplies sold equal quantities of two paint colors yesterday: yellow and blue. All yellow paint comes in 9-liter containers while blue paint is sold in 12-liter containers. What is the smallest amount of each paint color the store must have sold?

Answers

Answer:

36 liters

Step-by-step explanation:

We solve this question using the least common multiple method

Find and list multiples of the liter the blue paint comes in the liters the yellow paint comes in. We find the first common multiple is found. This is the least common multiple.

Multiples of 9:

9, 18, 27, 36, 45, 54

Multiples of 12:

12, 24, 36, 48, 60

Therefore,

LCM(9, 12) = 36

Hence, the smallest amount of each paint color the store must have sold is 36 liters

Could someone give me some input on why in part B 10 to the power of 3 is included in the equation to obtain the answer 1.47 x 10 to the power of 11

Answers

Answer:

10^3 = 1000. Look at the question carefully. it says the speed is in meters per second while your distance is in kilometers so yeah need to multiply by 1000

helppppppppppppppppppppppppppp meeeeeeeeee plzzzzzzzzzzzzzzzz

Answers

Answer:

thr answer is 6(2n-3) this is rhe answer

Park rangers at a game preserve in Africa observed a cheetah run 3

3

5

miles in

1

20

hour. What was the cheetah’s speed in miles per hour (mph)?

A.

9

50

mph

B. 5

5

9

mph

C. 72 mph

D. 92 mph

2

Among other ingredients, a recipe for paella calls for

3

4

pound of chorizo and

1

2

cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?

A.

3

10

pound of chorizo per cup of rice

B.

8

15

pound of chorizo per cup of rice

C. 1

7

8

pound of chorizo per cup of rice

D. 3

1

3

pound of chorizo per cup of rice

3

Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown

2

3

foot in

3

4

year. What is the tree’s growth rate in feet p

Answers

Answer:

Cheetah's speed = 2.79 miles per hour

Step-by-step explanation:

Speed = Distance / Time

Distance = 335 miles, Time = 120 hours

So, speed = 335 / 120

Speed = 2.79 mph

Which number line models the solution set of -2x + 7 > 17?Pls do 2 answers for good measures (and brainliest)

Answers

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

the answer is D

Selena wants to sell hot dogs at a local sports arena. She must pay a fee of $25 $25 to sell hot dogs and estimates each hot dog will cost her $0.75 $0.75 . Selena plans on selling each hot dog for $2.00 $2.00 . What is the minimum number of hot dogs ( x x ) Selena needs to sell for the revenue to be greater than or equal to her cost?

Answers

Answer:

20

Step-by-step explanation:

Let the cost of 1 hot dog be $x.

2x ≥ 25 + 0.75x

2x - 0.75x ≥ 25

1.25x ≥ 25

x ≥ 20

Find the area of the triangle.

Answers

Answer:

A

Step-by-step explanation:

The x coordinate for an ordered pair in the solution set of x+2y=11 is 3. find the y coordinate

Answers

Answer:

y=4

Step-by-step explanation:

solve for y. I have the work shown in the picture I attached.

Allison is making party favors. She has a roll of ribbon that is 4 1/3 feet long. Each favor needs 1/3 feet of ribbon. How many favors can she make?

Answers

Answer:

13 favors

Step-by-step explanation:

Roll of ribbon = 4 1/3 feet long.

favor = 1/3 feet of ribbon

How many favors can she make?

Number of favors = Total roll of ribbon / length of each favors

= 4 1/3 feet ÷ 1/3 feet

= 13 / 3 × 3 / 1

= (13 × 3) / (3 × 1)

= 39 / 3

= 13

Number of favors = 13

Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet

Pls help I will give u 50 points

Answers

Answer:

y=13.50x

Explanation:

Answer:

Step-by-step explanation:

stop the cappppppppppp

What is the binary number for 26​

Answers

the binary number for 26 is 11010

The polynomial p ( x ) = x 3 − 7 x − 6 p(x)=x 3 −7x−6p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 7, x, minus, 6 has a known factor of ( x + 1 ) (x+1)left parenthesis, x, plus, 1, right parenthesis. Rewrite p ( x ) p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p ( x ) = p(x)=p, left parenthesis, x, right parenthesis, equals

Answers

Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer:

(x+1)(x+2)(x-3)

Step-by-step explanation:

What is the y intercept of y= -3x-2

Answers

(0,-2) or just -2 is the correct y intercept you can find this by graphing it:)

Answer:

-2

Step-by-step explanation:

we always know that the y intercept is after the x part. for example, if it was

y = 5x + 3 the y intercept would be 3. in this equation, it's negative 2 because of the subtraction sign

What is the binary number for 16​

Answers

Answer:

Decimal Number 4-bit Binary Number Hexadecimal Number

14 1110 E

15 1111 F

16 0001 0000 10 (1+0)

17 0001 0001 11 (1+1

Step-by-step explanation:

hope this helped

What are three inequalities equal to 15x+20y=150?

Answers

Answer:

1. 3x+4y=30

2. 30x+40y=300

3. x+4/3y=10

Step-by-step explanation:

Find the measure of each angle (help me please)

Answers

Answer:

<1=39 degrees

<2=141 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps:)

plz mark as brainliest

Answer:

x-38+x+64=180(supplementry angle)

2x+26=180

2x=180-26

2x=154

x=154÷2

x=77

Again,1st angle

x-38

77-38

39

2nd angle,

x+64

77+64

141

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