Mrs. Dawson is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Hampton Florist charges $12 for each smaller arrangement, plus $27 for the large centerpiece. Farid's Flowers, in contrast, charges $32 for the large centerpiece and $7 per arrangement for the rest. If Mrs. Dawson orders a certain number of small arrangements, the cost will be the same at either flower shop. How many small arrangements would that be? What would the total cost be? If Mrs. Dawson orders small arrangements, it will cost $ at either shop.

Answers

Answer 1

The number of flower arrangement and the costs are illustrations of linear equation

If Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

How to determine the number of small arrangements?

Represent the number of small arrangements with x, and the total cost with y.

Using the data from the question, we have:

Hampton Florist: y = 12x + 27.

Farid's Flowers: y = 32 + 7x

When both flower arrangements cost the same, we have the following equation

12x + 27 = 32 + 7x

Collect like terms

12x - 7x = 32 - 27

Evaluate the like terms

5x = 5

Divide both sides by 5

x = 1

This means that 1 small arrangement would cost the same in both flower shops

How to determine the total cost?

In (a), we have:

y = 12x + 27.

Substitute 1 for x

y = 12(1) + 27

y = 39

Hence, if Mrs. Dawson orders 1 small arrangement, it will cost $39 at either shop.

Read more about linear equations at:

https://brainly.com/question/14323743


Related Questions

If you roll a six sided die, what is the probability that you do not roll a one or two?

Answers

Answer:

66.6%

Step-by-step explanation:

You have a 1/6 chance to roll any number. That is a 16.6% chance per number.

So, that means you have a 4/6 (2/3 simplified) probability of not rolling a one or two. That is a 66.6% chance.

[NOTE: The '6' at the end of '16.6%' and '66.6%' is a repeating decimal]

Independent Practice


Which property justifies the step shown in solving this equation? − y−5=11
−y−5+5=11+5


A.
Multiplication Property of Equality


B.
Addition Property of Equality


C.
Subtraction Property of Equality


D.
Division Property of Equality

Answers

Answer:

B. Addition Property of Equality

Step-by-step explanation:

B addition property of equality

Need to know if this is write. if not, please correct.

Classify each pair of angles listed below as adjacent or vertical.

Answers

They are completely opposite of what they are supposed to be. Switch out the ones you have in adjacent for the ones in vertical

CAN SOMEONE PLEASE HELP ME PLEASE

Answers

Answer:

If Then proof has been explained below!

Step-by-step explanation:

1.) If segment XY ║ ZW, then the 154° angle ≅ ∠2 (vertical angles)

2.) If segment XY ║ ZW, then ∠2 is complementary to ∠4

3.) If ∠2 is complementary to ∠4, then ∠4 = 28°

I hope this helps! If you have any questions, feel free to add it into the comments and please rate my answer and consider marking as brainliest!

ASAP What is 94737638 x -9376383889483 this is a real question plz help!!!

Answers

Answer:

-8.8829646e+20

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

94737638 x -9376383889483

The exact answer can be found by using the calculator that comes with windows (windows 7 if you are using that. Windows 10 for sure.). It can give exact answers up to 18 digits (or that's what I thought. This question is an astonishing 21 digits). The answer to this question is

-888,296,462,670,872,461,154

I don't know if Apple has a calculator that comes with its operating system. I would think so, but I don't know. I use a PC.

I’m sorry for the spam questions but I need help

Answers

Answer:

x = 30

Step-by-step explanation:

2x + x = 90

3x = 90

x = 30

Which form of a linear equation is defined by y = mx +b?
O A. Parallel form
O B. Standard form
O C. Slope-intercept form
O D. Point-slope form

Answers

This is slope intercept form

The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The linear equation is defined by,

⇒ y = mx + b

Now, We know that;

The equation defined as;

⇒ y = mx + b

Where, 'm' is slope and 'b' is y - intercept.

Hence, The linear equation is defined by y = mx +b is called ''Slope-intercept form''.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

What is 980x58? I am giving 10 points I am not sure if it’s fair

Answers

Answer: 56840

A bit of long multiplication

Answer:

56840

Step-by-step explanation:

A rectangular park, 90 meters by 60 meters, is to be built on a city block having an area of 9000 m^2. A uniform strip borders all four sides of the park for parking. How wide is the strip? Use quadratic formula and show your work.

Answers

Answer:

x = 10.52 m

Step-by-step explanation:

Given that,

Length of a park = 90 m

Width of a park = 60 m

Area, A = 9000 m²

A uniform strip borders all four sides of the park for parking. We need to find the width of the strip. Let it is x. Now the area becomes,

(90+2x)(60+2x) = 9000

[tex]4x^2 +120x +180x =5400 = 9000\\\\x=10.52\ m[/tex]

So, the width of the strip is equal to 10.52 m.

Laura is the fund-raising manager for a Local charity. She is Ordering caps for an upcoming charity walk. the company that makes the caps charges six dollars per cap plus a $25 shipping fee Laura has a budget of $1000 what is the greatest number of cats so she can buy

Answers

Answer:

162 caps.

Step-by-step explanation:

Let x be the number of caps.

We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.

We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges ().

Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000. We can represent this information in an equation as:

Now let us solve for x.

Let us divide both sides of our inequality by 6.

Find the measure of the indicated angle to the nearest degree.


Answers

Answer:

37 degrees

Step-by-step explanation:

Cos x = 48/60

Cos x = 0.8

x = cos^-1 0.8

x = 36.8699

Urgent!!!!
Sean bought three pairs of the same socks and a shoe polish for $1450. If the
polish cost $340, how much is the cost of one pair of soc
Show how you got your answer (4marks)​

Answers

Answer:

One pair of socks is $370.

Step-by-step explanation:

Sean bought three pairs of the same socks and a shoe polish for $1450. If the

polish cost $340, how much is the cost of one pair of socks.

6x - 340 = 1450

6x = 1450 -340

6x = 1110

2x = 1110 / 3

2x = 370

3x+y=1450
Y=340
Answer: 370

Joel says to Kevin, "Give me $100, and I shall become twice as rich as you."

Kevin replies, "Give me $10, and I shall become six times as rich as you."

How many dollars do Joel and Kevin have together?

Answers

DON'T OPEN IT, IT IS EVERYWHERE, IT IS AGAINST BRAINLYS TOS, AND IT IS A VIRUS also
The answer is $310

Jamal has a new business as a financial consultant. He uses the formula y = 1,500x + 500 as a starting point for new customers. Y is the total amount of money and x is the number of years of investments. What is the total amount of money a dient would have after 7 years?​

Answers

Answer:

11,000

Step-by-step explanation:

You would multiply 1,500 by 7 and then add 500.

Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?

Pls help I well mark you a brainliest...

Answers

Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

In 3^6, 6 is called ___.



base


exponent

Answers

The answer is B, Exponent

Step-by-step explanation:

the correct answer is exponent because 6 is its power.

hope this answer will help u.

have a great time.

The total cost of a catered meal for the Armstrong family reunion was to be split equally by the 20 people who came. Before the meal started, five more Armstrong's unexpectedly appeared. The total cost was shared equally among the 25 people, and so each person in the original group owed $4 less. What was the total cost of the catered meal?

Answers

Answer:

$400

Step-by-step explanation:

Let the initial total cost be represented = $X.

Hence, for 20 family members

= $ x/20 each .......1

Now that they are 25 members

= $x/25 each.......2

Each in the original group which is equation 1 owed $4 less.

That is,

x/20 - 4 ........ 3

Now equate 2 and 3

X/20 - 4/1 = X/25

Taking the LCM of both sides

X-80/20 = X/25

Cross multiply both sides

25( x-80 ) = 20x

25x-2000 = 20x

Collecting like terms

25x-20x = 2000

5x = 2000

Divide through by 5

X = 2000/5

X = 400

The total cost for the catered meal is $400.

To check if it was correct

Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4

From equation 1

400/20 = $20

From equation 2

400/25 =$16

$20-$16 = $4

Thanks

The dot plot shown displays the amount of money,
in millions of dollars, that different companies
spend on television advertising in one year. Which
of the following statements describe the data set?

Answers

Answer:

44

Step-by-step explanation:

because it a millon and not a bilolon


please help me understand this.Will mark brainlyist to right answer no links!!!

Answers

Wowowow
Answer:45
Explain

15 POINTS! PLEASE HELP!

To measure the distance across a wide river surveyors use a technique of measuring angles to a fixed point on the other side of the river. In the diagram below, a survey starts a point A and find m

Answers

Answer:

DC = 1332.95 feet

Step-by-step explanation:

From the figure attached,

Let the measure of DC = h ft

And measure of side BC = a ft

By applying tangent ratio in ΔBCD,

tan(56°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

             = [tex]\frac{DC}{BC}[/tex]

             = [tex]\frac{h}{a}[/tex]

h = a[tan(56°)] --------(1)

By applying tangent rule in ΔACD,

tan(22°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(22°) = [tex]\frac{DC}{BC+AC}[/tex]

             = [tex]\frac{h}{a+2400}[/tex]

h = (a + 2400)tan(22°) ------- (2)

Equating the values of h from equations (1) and (2),

a[tan(56°)] = (a + 2400)tan(22°)

a[tan(56°) - tan(22°)] = 2400[tan(22°)]

1.0785a = 968.6629

a = 899.085 ft

From equation (1),

h = 899.085[tan(56°)]

h = 1332.948

h ≈  1332.95 ft

Solve: 3x - 18 = 6
Please answer and give the correct answer. Thank You! :)

Answers

Answer:

x = 8

Step-by-step explanation:

Hope this helps have a great day

What is the measure of the other acute angle

Answers

Answer:

77 degrees

Step-by-step explanation:

All triangle add up to 180 degrees and right triangle all have one angle that is 90 degrees so 90 + 14 is 104 and 180 - 104 is 77.

Answer:

76 degrees

Step-by-step explanation:

What we know:

1. the triangle is a right triangle, meaning on angle has to be 90 degrees

2. One angle is 14 degrees

3. A triangle's angles add up to 180 degrees.

----------------------------------------------------------------------------------------------------

90+14+x=180

104+x=180

x=76

To find the x-intercept, we let y = 0 and solve for x and to find y-intercept, we let x=0 and solve for y. Figure out the x-intercept and y-intercept in given equation of the line. 6x + 2y = 12

Answers

Answer:

        X-intercept: (2, 0)         Y-intercept: (0, 6)

Step-by-step explanation:

X-intercept means y-coordinate of 0:

6x +2×0 = 12

6x = 12

  x = 2         ← x-coordinate

Y-intercept means x-coordinate of 0:

6×0 + 2y = 12

2y = 12

  y = 6         ← y-coordinate

you make a scale drawing of a banner for school dance .you use a scale of 1 inch ,2 feet what is the actual width of the banner HELP ASAP!!!!​

Answers

Answer:

6.5

Step-by-step explanation:

you take the sides all added up (which was 13in) and divided it by two

Answer: the answer is 18. Trust me. I know what I’m doing lol

Step-by-step explanation:


Urgent!!!!!

12. Arrange the stages of municipal council election by writing 1-7 in the
correct place. (2 marks each)
Stages in municipal elections
Girst (1) to last (17)
People going to the polling station to
Councilors campaign for election.
The number of votes for each division
is counted.
Voters vote by secret ballot.
Candidates nominated by two main
political parties.​

Answers

provide the passage or a picture of it please thx

Whats the value of x????

Answers

Answer:

X = 23

Step-by-step explanation:

oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.

90-21 = 69

69  / 3 = 23

x = 23

Answer:

23

Step-by-step explanation:

The equation on the left will equal to 90 due to it being congruent to the angle with the square. Therefore, make the equation out to be 3x+21=90 and subtract 21 from both sides and that will give you 69. Divide 69 by three which will leave you with x=23

Find the value of X.

Answers

Answer:

Angles of a triangle add to 180 degrees

42+58+x=180

x=80

(PLEASE PLEASE HELP)
Find the area of the triangle.

Answers

Answer:

40.2 in²

Step-by-step explanation:

h*b/2

h= 6.7

b= 12

The options are -63/16, -61/16,-59/16, -31/8, -15/4, -29/8

Answers

Answer:

-31/8. That's the answer to your question

Use digits to write the value of the 4 in this number.

842,963

Answers

Answer:

40,000

Step by step explanation:

842,963

840,000

40,000

800,000-40,000-2,000-900-60-3
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