Write a system of equations for the following word problem. Solve. What does your solution mean in the context of the question?


The wedding planner was looking for the best deal on flowers. Flowers R’ Us was selling roses for $2 each and then $150 for delivery. Flowers Lobby are selling roses for $4 each and $140 for delivery. At how many flowers and at what cost will the two flower shops be the same?

Answers

Answer 1

The pricing and flowers from both businesses will be the same at 5 flowers and 160 dollars.

Let x be the number of flowers ordered from both shops at the same cost.

For R'U shop,

Total cost = Per flower cost + delivery charges

Total cost = 2*x+150

For Flowers Lobby,

Total cost = Per flower cost + delivery charges

Total cost = 4*x+140

Thus, for the same cost, the value of x will be,

4x+140= 2x+150

2x = 10

x=5

Therefore, for 5 flowers and 160$, the price and the flowers will be equal from both shops.

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Related Questions

Jamie gave Laura $3 more than Laura already had. Now Laura has $19. How much did Jamie give her?

Answers

Answer: 16

Step-by-step explanation:

19-3 = 16

Hope this helps

Can anyone help me with this math equation the picture is down below!!

Can anyone help me with this math equation the picture is down below!!

Answers

Answer:

\( \frac{1}{3} \)

is your answers

hope so it is helpful to u

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

Find the GCF of 5 and 15. It's 5.Divide both numbers by 5. 5 divided by 5 is 1. 15 divided by 5 is 3.Reassemble the numbers. You now have 1 over 3. We simply just made the numbers smaller, so we keep them in the same place

juanita borrowed $600 to purches a computer

Answers

Answer:

Juanita borrowed $600 to purchase a computer

Step-by-step explanation:

Grammer

Answer:

what exactly is your question? i would be happy to help, but there is no question present.

Step-by-step explanation:

15 - 2b = -9
What does b equal

Answers

Answer:

clt

15+9=2b

24=2b

dbs by 2

24/2=2b/2

b=12

1. Which of the following are not LIKE TERMS?
a. 7
b.-12
C. 0.5
d. - 2x

Answers

Answer:

2x

Step-by-step explanation:

It is the only one with a variable.

what is 2 fifths as a decimal

Answers

We must write 2 fifths as a decimal.

We know that 1 fifth is:

\(\frac{1}{5}=0.2.\)

So 2 fifths are:

\(2\cdot\frac{1}{5}=2\cdot0.2=0.4.\)

Answer: 0.4

find the slope please hurryyyyyy

find the slope please hurryyyyyy

Answers

Answer:

2 is the slope.

Step-by-step explanation:

To find the slope of this, pick 2 points each

(-2, 3) , (-1,5)

Simply do 5-3 and -1--2.

This equals to 2/1, or 2.

HELP HELP QUICK WHAT IS THIS
asa
aas
sas
not enough info?!

HELP HELP QUICK WHAT IS THIS asa aas sas not enough info?!

Answers

Answer:

Its either asa or sas but like i think is asa

Step-by-step explanation:

Answer:

the right answer is aas

Step-by-step explanation:

angle angle side because both angles are touching each other which is an easier way to tell.

Multiply and simplify the product. (3 – 5i)(–2 4i) select the product.

Answers

Answer:

120i(squared)-72i

Step-by-step explanation:

(3−5x)(−24x)

=(3+−5x)(−24x)

=(3)(−24x)+(−5x)(−24x)

=−72x+120x2

=120x2−72x

Answer:

B

Step-by-step explanation:

14+22i

What are the steps in group discussion?

Answers

Setting the discussion topic, or assisting the group in doing so, encouraging an open dialogue, including everyone, asking questions or making suggestions to enhance the conversation, summarizing or elaborating on key arguments and ideas, and concluding the meeting are among them.

Few Steps which is required during the group discussions:

1. Welcome to the audience

Try to introduce oneself before starting the group conversation before you speak about the subject.

2. Speak with clarity and ease

Try not to stutter or stammer as you introduce yourself and the subject. Present your ideas and speak with great assurance and ease.

3. Provide an intriguing viewpoint on the subject.

Make sure to start the group discussion with a traditional interpretation of the subject.

4. Keep the information current.

You must at the very least have a fundamental understanding of the subject. You can spend a moment getting familiar with the subject before beginning if necessary. Make sure you don't give unclear or extra information.

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Art Club. He then made a scale drawing of his original painting to create a similar rectangular poster. He used a scale factor of 4/5 to create the rectangular poster. If the perimeter of the smaller rectangle is 45 centimeters, what is the perimeter of the larger rectangle?

Answers

The perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

What is meant by the perimeter of a figure?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges.

Given,

the scale factor = 4/5

The perimeter of the smaller rectangle = 45 cm

We are asked to find the perimeter of the larger rectangle(x).

Here both the rectangle are similar figures.

So the scale factor is the ratio of their corresponding sides.

But since the perimeter of a rectangle is the sum of the length of its sides.

The scale factor is also the ratio of the perimeter of the smaller rectangle to the larger rectangle.

Perimeter of small rectangle/Perimeter of large rectangle = 4/5

45/x = 4/5

x = 45 * 5 / 4 = 56.25cm

Therefore the perimeter of the larger rectangle found using the scale factor of 4/5 is 56.25 cm.

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The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
a. True
b. False

Answers

The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.

The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.

The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.

The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.

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Lots of points!! picture explains everything! ​

Lots of points!! picture explains everything!

Answers

Answer:

16/100 or 8/50 or 4/25

Step-by-step explanation:

Nana bought 12 books for $28.50. What was the unit price?

Answers

Answer: 2.375 per book

Step-by-step explanation:

Answer:

2.375 per book

Step-by-step explanation:

divide 28.50 by 12 to get the unit rate which is 2.375 per book

Normal breathing is measured at an average of 10 dB. Noise levels in a library are measured as being 40 dB. How much more intense is the sound from the library compared to normal breathing

Answers

The intense is the sound from the library compared to normal breathing is 1000 times (option A).

The intensity of sound is measured on a logarithmic scale known as decibels (dB). The difference in intensity between two sound levels can be calculated using the formula:

Intensity difference (in times) = \(10^{(L2 - L1)/10}\)

Where L1 and L2 are the sound levels in dB.

In this case, normal breathing is measured at 10 dB (L1), and noise levels in the library are measured at 40 dB (L2).

Using the formula:

Intensity difference (in times) = \(10^{(40 - 10)/10} = 10^{30/10} = 10^3\) = 1000

Therefore, the sound from the library is 1000 times more intense compared to normal breathing.

The correct answer is:

A. 1000 times.

The complete question is:

Normal breathing is measured at an average of 10 dB. Noise levels in a library are measured as being 40 dB. How much more intense is the sound from the library compared to normal breathing?

A. 1000 times

B. 4 times

C. 100 times

D. 25 times

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At a certain fire station, false alarms are received at a mean rate of 0.2 per day. In a year, what is the probability that fewer than 60 false alarms are received? (Consider 365 days a year. Round your standard deviation value to 3 decimal places and z-value to 2 decimal places. Round your final answer to 4 decimal places.)

Answers

Answer:

The probability that fewer than 60 false alarms are received is 0.0643.

Step-by-step explanation:

Let X denote the number of false alarms received at a certain fire station in a year.

The mean rate of false alarms in a day is 0.20.

Then the mean rate of false alarms in a year will be: \(365\times 0.20=73\).

Then the random variable X follows a Poisson distribution with parameter λ = 73.

The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large.

If X follows Poisson (λ) and λ is large then the distribution of X can be approximated but he Normal distribution.

The mean of the approximated distribution of X is:

μ = λ

The standard deviation of the approximated distribution of X is:

σ = √λ

Thus, if λ is large, then X follows N (μ = λ, σ² = λ).

Compute the mean and standard deviation of X as follows:

\(\mu=\lambda=73\\\\\sigma=\sqrt{\lambda}=\sqrt{73}=8.544\)

Compute the probability that fewer than 60 false alarms are received as follows:

\(P(X<60)=P(\frac{X-\mu}{\sigma}<\frac{60-73}{8.544})\)

                  \(=P(Z<-1.52)\\\\=0.06426\\\\\approx 0.0643\)

Thus, the probability that fewer than 60 false alarms are received is 0.0643.

-33 = -18 + b

i also need the work for it

Answers

Answer:

Solution given:

-33 = -18 + b

b=-33+18=-15

b=-15 is your answer

what is the probability of being served immediately in a three-server model?

Answers

The probability of being served immediately in a three-server model is 0.2143 or approximately 21.43%.

Consider that the arrivals follow a Poisson distribution and the service times follow an exponential distribution, the probability of being served immediately in a three-server model can be calculated using the Erlang-C formula.

The Erlang-C formula is given by:

\(P0 = 1/[1 + (A1/A)^1 + (A2/(A*A1))^2/2 + (A3/(A*A1*A2))^3/3! + ... + (Ak/(A*A1*...*Ak-1))^k/k! + ...]\)

A = total traffic intensity for the system

The traffic intensity for each server is given by:

\(Ak = (A^k/k!) * P0\)

Where k = number of servers.

LEt A = λ/3μ

where 3 is the number of servers.

Using these formulas,

\(P0 = 1/[1 + ((λ/3μ)/1)^1 + ((λ/3μ)/(λ/3μ))^2/2 + ((λ/3μ)/(λ/3μ)^2)^3/3!]\)

Simplifying the expression, we get:

\(P0 = 1/[1 + 1/3 + (1/9)(1/3)^2 + (1/27)(1/3)^3]\)

P0 = 0.2143

Therefore, the probability of being served immediately in a three-server model is 0.2143

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Which is the most accurate way to estimate 26% of 91?

A: 3/4 x 92
B: 1/4 x 92
C: 1/3 x 90
D: 1/2 x 90

Answers

Answer:

B

Step-by-step explanation:

26% is close to 25%, which is equal to 1/4th.

You're adding to the number and removing from the percentage so it balances it out.

The estimation of 26% of 91 is  1/4 x 92.

The correct option is (B).

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

26% of 91

Now solving the above Quantity

= 26 /100 x 91

Now, We take 1 from 26 make it 25 and add that 1 to 91 make 92.

Then, 25 / 100 x 92

= 1/4 x 92

Hence, the estimation is 1/4 x 952.

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Note: Triangle may not be drawn to scale.
Suppose c = 12 and A = 40 degrees.

Note: Triangle may not be drawn to scale.Suppose c = 12 and A = 40 degrees.

Answers

We can write the measurements as -

a = 7.8b = 9.24(B) = 50°

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a right angled triangle.

We can write -

{ 1 } -

sin (A) = a/c

a = c sin(A)

a = 12 sin(40°)

a = 12 x 0.65

a = 7.8

{ 2 } -

cos (A) = b/c

b = c cos(A)

b = c cos(40°)

b = 12 x 0.77

b = 9.24

{ 3 } -

tan (B) = b/a

tan (B) = 9.24/7.8

tan (B) = 1.19

(B) = 50°

Therefore, we can write the measurements as -

a = 7.8b = 9.24(B) = 50°

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Which of the following ordered pairs
make this equation true?
y = 3x - 2
A. (7,3)
B. (2,4)
C. (13,5)
D. (-1,5)

Which of the following ordered pairsmake this equation true?y = 3x - 2A. (7,3)B. (2,4)C. (13,5)D. (-1,5)

Answers

Answer:

B

Step-by-step explanation:

What is the polar form of Negative 3 + StartRoot 3 EndRoot i?

Answers

Answer:

D on edge

Step-by-step explanation:

Got it right on edge

The polar form of the given complex number is:

\(W = \sqrt{12}* e^{-i*0.52}\)

How to get the polar form of the complex number?

Here we have:

W = -3 + √3i

To get the polar form we first need the module of W it is:

|W| = √( (-3)^2 + (√3)^2) = √12

And now we need to find the bearing, that is given by the Arctangent of the quotient between the imaginary part and the real part.

Arctan(√3/-3) = -0.52 rad

Then the polar form is:

\(W = |W|*e^{-i*0.52} = \sqrt{12}* e^{-i*0.52}\)

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If you invest $1000 into an account that earns 8.5% interest each year, WHAT
EQUATION WOULD MODEL how much you would have after 35 years?

Answers

Answer:

i believe it would be 35(1000 x 8.5%)

Step-by-step explanation:

This scatter plot shows the average elevation and the average temperature for some countries. Each

point on the scatter plot represents the average elevation and average temperature for one

country.

Average Temperature (Degrees Celsius)

30

27

24

21

18

15

12

6

3

0

00

[infinity]

O

140 280

O

O

O

O

O

O

O

420 560 700 840 980 1,120 1,260 1,400

Average Elevation (Meters)

The country with the lowest average

temperature has an average elevation

of about

meters

Answers

The country with the lowest average temperature has an average elevation of about 3000 meters

The scatter plot below displays the relationship between the average temperature and average elevation for different countries.

The horizontal axis represents the average elevation in meters, while the vertical axis represents the average temperature in degrees Celsius.

Each point on the scatter plot represents the average temperature and elevation for one country.

To determine the country with the lowest average temperature, we need to look for the point on the scatter plot that is located at the bottom of the vertical axis. This point represents the country with the lowest average temperature.

By looking at the scatter plot, we can estimate that the average elevation of this country is around 3,000 meters.

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This scatter plot shows the average elevation and the average temperature for some countries. Eachpoint

I have to turn this in tonight please help :(

I have to turn this in tonight please help :(

Answers

Answer:

angle a is 116 degrees

Step-by-step explanation:

ok so first we have to make everything equal to 180 because every triangle is 180 degrees so it would be written like this:

(14x + 4) + (5x - 1) + (2x + 9) = 180

Then, we solve for x and x equals 8

After this we plug 8 back into the angle so it would be written like this:

14(8) + 4

This equals 116 degrees.

Answer:

116

Step-by-step explanation:

21x + 12 = 180

-12 -12

21x = 168

÷21 = ÷21

x = 8

14 x 8 + 4

112 +4

116

suppose that a line chart includes several lines. which chart element will tell you the category of data that each line represents?

Answers

The legend chart element will tells the category of data that each line represents the lines.

Lines:

Lines refers a one-dimensional figure, which has length but no width.

Given,

suppose that a line chart includes several lines.

Here we need to identify the chart element will tell you the category of data that each line represents.

Basically, chart is a visual representation of numeric data in a worksheet. And it helps you to identify trends, make comparisons, and recognize patterns in the numbers.

In order to get the clear information that appears in your chart, you can add a chart title, axis titles, and data labels.

The element legend or data table is used to represents the category of the data.

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Define Apothem:-
_____________


Thanks!

Answers

Answer:

a line from the center of a regular polygon at right angles to any of its sides.

Step-by-step explanation:

a = apothem

R = circumradius

\pi = pi

{n} = number of sides

Answer:

It's the distance from the center to a side.

It's also this equation: \(a=R*cos(\frac{\pi }{n})\)

a = apothem

R = circumradius

\(\pi\) = pi

n = number of sides

Jacobs pizza parlor sells pizza for $10 each, with a $20 delivery fee. Ashley's pizza parlor has a $12 delivery fee and sells pizza for $12 dollars each. At what point do the pizza parlors cost the same to deliver pizza?

Answers

If you order 4 pizzas with delivery at Jacob’s or Ashley’s pizza place they will both be $60

Answer:

The pizza parlors cost the same when delivering 4 pizzas.

Step-by-step explanation:

For each store, the total price is

cost of pizzas + cost of delivery

The cost of delivery is just a fixed number for each store, $20 or $12.

The cost of the pizzas is the price of a pizza multiplied by the number of pizzas.

Let x = number of pizzas

The cost of the pizzas is

Jacob's: 10x

Ashley's: 12x

Jacob's total cost (pizzas + delivery):

10x + 20

Ashley's total cost (pizzas + delivery):

12x + 12

We want the total costs to be the same, so we set our two total cost expressions equal and solve for x.

12x + 12 = 10x + 20

Subtract 10 from both sides.

2x + 12 = 20

Subtract 12 from both sides.

2x = 8

Divide both sides by 2.

x = 4

Answer: The pizza parlors cost the same when delivering 4 pizzas.

Which of the following demonstrates the correct first step in copying an angle?

Create a line that intersects the angle.

Draw a ray with one endpoint.

Create a point outside of the angle.

Swing an arc that intersects the angle's rays.

Answers

"Draw a ray with one endpoint" demonstrates the correct first step in copying an angle. This is further explained below.

What is the angle?

In general, the distance (which is sometimes stated as a degree) that occurs between two crossing lines or surfaces at or near the point where they meet. This distance might be positive or negative.

The formation of an angle is caused by the conjunction of two rays at a single point in space. The split or 'opening' that can be seen between these two rays is referred to as a 'angle,' and the symbol denotes this particular angle. The degree is the standard unit of measurement for angles, and its values include things like 60 degrees and 90 degrees, amongst other possible combinations.

In conclusion, "Draw a ray with one terminal" illustrates the correct first step in duplicating an angle. This step shows how to replicate an angle.

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Please help me :( anybody know this? :((

Please help me :( anybody know this? :((

Answers

Answer:Option A

Linear increasing

Additional Information:

Linear functions are those whose graph is a straight line.A linear function has the following form:

y=mx+b

m=slope

b=y- intercept

A linear function has one independent variable and dependent variable.The independent variable is X and dependent variable is y.

Initial values are called y-intercept.

Please help me :( anybody know this? :((
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