Terrell arranges x roses at $3.50 each with 10 carnations at $2.25 each. He makes a bouquet of flowers that averages $3.00 per flower. Choose an equation to model the situation.

A. 3.50x + 2.25(10) = 3(x + 10)
B. 3.50x + 2.25 = 0.75x
C. 3.50x + 3 = 22.5(x + 10)
D. 3.50x + 2.50 = 0.75(x + 10)

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

Equation to model the situation is ( 3.5x + 22.5 ) = 3(x+10), Option A.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Given data are :

The number of roses = x,

Price of each rose = $ 3.50,

So, the total price of roses = 3.5x dollars.

Now, the number of carnations = 10,

The cost of each carnation =  $2.25,

So, the total cost of all carnations = 10 × 2.25 = $ 22.5,

Thus, the total cost of a bouquet of flowers = ( 3.5x + 22.5 ) dollars,

Also, the total numbers of flower = x + 10.

Hence, the average cost of flowers = Total cost / total flowers

average cost flowers =  ( 3.5x + 22.5 ) / (x+10)

According to the question,

The average cost of flowers = $ 3.00

( 3.5x + 22.5 ) / (x+10) = 3

or,

( 3.5x + 22.5 ) = 3(x+10)

Therefore, equation to model the situation is ( 3.5x + 22.5 ) = 3(x+10).

More can be learned about linear functions :

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Related Questions

help please i need help

Answers

Answer:

m=(2,0)................

Answer:

[tex]m=\frac{1}{2}[/tex]

Step-by-step explanation:

Points (0,0) and (2,1)

[tex]x_{1} =0\\x_{2} =2 \\y_{1} =0\\y_{2} =1[/tex]

[tex]m=\frac{changein (y)}{change in (x)}[/tex]

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-y_{1} }[/tex]

[tex]m=\frac{{1}-(0) }{2-(0)}[/tex]

Simplify

[tex]m=\frac{1}{2}[/tex]

Which of the following expressions does not mean the same as the other three?
A.x+(-17)
B.-17 + x
C.x-17
D.x- (-17)

Answers

The Final Answer Is c. X-17

Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?

Answers

Answer:

It equals -2

Step-by-step explanation:

Debbie Redden has a 25%-off coupon and is purchasing a
2.5 gallon can of primer sealer paint that has a regular price
of $39.99.
a. What is the markdown?
b. What is the sale price?
c. What is the sale price using the percent paid method?

Answers

a) the markdown is $9.99
b) original sale price is $39.99
c) after using the coupon the price would be $29.99

in order to find this out you would first divide the original price of 39.99 by 100 in order to find out what 1% is. Then you would multiply this number by 25 to find out what 25% is. Then you would subtract the original amount of 39.99 by the 25% amount in order to find out how much is taken off

Use the picture below to answer Problems 1 and 2.

1. Describe a sequence of translations that would map Figure H onto Figure K.
2. Describe a sequence of translations that would map Figure ) onto itself.

Answers

Answer: 1. Describe a sequence of translations that would map Figure H onto Figure K.

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure H along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

2. Describe a sequence of translations that would map Figure J onto itself.

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

⃗⃗⃗⃗⃗⃗

Translate Figure J along vector , and then

⃗⃗⃗⃗⃗⃗ translate the image along vector .

Step-by-step explanation:

If
[tex] \cos(330) = \frac{ \sqrt{3} }{2} [/tex]
Prove that:
[tex] \tan(165) = \sqrt{3} - 2[/tex]
Please solve this question.​

Answers

Answer:  see attachment

Step-by-step explanation:

Given: cos 330 = √3/2

Prove that tan (165) = √3 - 2

Step-by-step explanation:

cos330° = cos(360° - 30°) = cos(2π - 30°)

Using, cos(2π - x) = cosx, x < 90°

=> cos(2π - 30°)

=> cos(30°)

=> √3/2 , proved

(ii): tan(165°) = tan(180° - 15°) = tan(π - 15°)

Using, tan(π - x) = - tanx

=> tan(π - 15°)

=> - tan15°

=> - (-√3 + 2)

=> √3 - 2 proved

For tan15° :

Using, tan2x = 2tanx/(1 - tan²x)

tan30° = 2tan15°/(1 - tan²15°)

1/√3 = 2tan15° / (1 - tan²15°)

1 - a² = 2√3 a {a = tan15°}

Solving this we get, a = -√3±2

As a = tan15°, it can't be -ve, thus

a = tan15° = -√3 + 2

Help me please !!!!!!!!!!!!!!

Answers

Answer:

-8

Step-by-step explanation:

All the other numbers like z=-3 and w=4 is all to trick you they aren't used. They put them there because it makes it harder to focus on one number and it throws you off. It's just doing the math by replacing the "x" with -1 and boom you have your answer!

Hope This Helps!!! Have a great day!!!

<3<3

Hello I need help for this math homework please

Answers

Answer:

1. first option

2. second option

3. second option

Step-by-step explanation:

i dunno i did the math and used a calculator. im pretty confident with my answers so hopefully theyre right

please HELPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1/2!!! hope this helps!

Answer:

y=1/2x-1 1/2 = Proper fraction

y=1/2x-3/2= improper fraction

y=x-2 = integer

Step-by-step explanation:

Diego is thinking of two positive numbers, if we triple the first number and double the second number the sum is 34. Diego then says, "if we take half of the first of the first number and double the second number, the sum is 34. What are Diego’s two numbers?

Answers

Answer:

1st number: 0

2nd number: 17

Step-by-step explanation:

3x+2y=34 x is the first number, y is the second.

1/2x+2y=34 multiply each number by two to get rid of the integer by the variable x.

x+4y=68 solve for x.

x=68-4y add this into the first equation to solve for variable y.

3(68-4y)+2y=34 solve for y.

204-10y=34

-10y= -170

y=17

now to solve for x

x= 68-4(17)

x= 0

Answer:

:)

Step-by-step explanation:

(10,2)

(4,11)

Horizontal and parallel lines e and f are cut by transversals c and d. All angles are described clockwise, from uppercase left. The intersection of lines d and c form angles: 1, 2, 4, 3. The intersection of lines f and c form angles 5, 6, 8, 7. The intersection of lines e and d form angles 9, 10, 12, 11. The intersection of lines f and d form angles 13, 14, 16, 15.
In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct? Check all that apply.

m∠1 = 60°
m∠13 = 80°
m∠6 = 80°
m∠5 = 60°
m∠10 = 120°
m∠ 14 = 100°

Answers

Answer:

The correct answers are A, B, D, and F

Step-by-step explanation:

I just took the test ( i hope this helps!!! )

Answer:

a, b, d, f

Step-by-step explanation:

Volunteers at Sams school use some of the student councils savings for a special project.They buy 4 backpacks for $9 each and fill each backpack with paper and pens that cost $5.By how much did the student councils savings change because of this project?

Answers

Answer: The student councils savings change by $41.

Step-by-step explanation:

Number of backpacks = 4

Cost of each backpack = $9

Paper and pen costs = $5

Total spending = (Number of backpacks ) x (Cost of each backpack ) + (Cost of paper and pen)

= $ (4 x 9 +5)

= $ 41

Hence, the student councils savings change by $41.

Identify the parent function.
y
LO
-5
5
-5

Answers

I’m pretty sure it’s Y because in a standard parent function, the equation is y=x.

Please Help Me!!!! ;)

Answers

Answer:

Value of x: 110

Step-by-step explanation:

5+5=10

120-10=110

Ari exercises 1 5/8 hours per day. If he exercises five days a week, how many total hours does he exercise in a week?

HELPP\ PLEASE / QUICKLY !!!!!!!\

Answers

Answer:

8.125

Step-by-step explanation:

Just do 1 and 5/8 times 5

Answer:

8 1/8 hours a week

Step-by-step explanation:

I 5/8 times 5 gives me the product of 8.125. After converting that to a mixed number, you get 8 1/8.

You're welcome.

If an object is projected upward with an initial velocity of 48 ft per second from a height h of 64 ft, then its height t seconds after it is projected is defined by the equation f(t) = -16(t) with superscript (2) + 48t + 64. How many seconds after it is projected will it hit the ground?

Answers

Answer:

4 seconds

Step-by-step explanation:

Given that :

Height of a projected object is modeled by:

f(t) = - 16t² + 48t + 64

t = height

How many seconds after projection will it hit the ground ;

When the projectile hits the ground ; t = 0

f(t) = - 16t² + 48t + 64

f(t) = 0

- 16t² + 48t + 64 = 0

Divide through by - 16

t² - 3t - 4 = 0

t² - 4t + t - 4 =0

t(t - 4) +1(t - 4) = 0

(t +1) = 0 or (t - 4) = 0

t = - 1 or t = 4

t can't be negative ;

Hence, the projectile will hit the ground after 4 seconds

reply with anything :D

Answers

Answer:

anything :D

Step-by-step explanation:

Can somebody plz help?

Answers

Answer: 40/20

Step-by-step explanation: 8/10 x 5/2 = 40/20 or you can say 2, you got to flip the equation

Given the perimeter of a rectangle and either the length or​ width, find the unknown measurement using the appropriate formula.
The perimeter is 70ft . and the width is 16ft .

Answers

Answer:

Step-by-step explanation:

Givens

P = 2*L + 2*W

P = 70

w = 16

Solution

70 = 2L + 2*16

70 = 2L + 32

70-32 = 2L

38 = 2L

38/2 = 2L/2

L = 19

Which box plot has the most variability A,B,C,D

Answers

IM LITERALLY BALLING MY EYES OUT

Plzzz answer urgently willark brainliest and will also follow plssss​

Answers

Answer: THE LENGTH OF AB IS 13CM

Step-by-step explanation:

tehe lets be friendssss

what is the sum of zeros of the equation (m-10)(6m-1)=0. Ancwer your question as a fraction




PLSSS SOMEONE ANCWEE THISS BEGGINGG.​

Answers

Answer:

The sum of zeros is [tex]\frac{61}{6}[/tex]

Step-by-step explanation:

The Rule of Zero Product

The rule of zero product states that the product of two nonzero elements is nonzero. It can be written as the following assertion:

If a.b=0, then a=0 or b=0

The equation

(m-10)(6m-1)=0

can be solved by applying the mentioned rule:

[tex]m-10=0 \ \ \Rightarrow m=10[/tex]

[tex]6m-1=0 \ \ \Rightarrow m=1/6[/tex]

The sum of both solutions is:

[tex]\displaystyle 10+\frac{1}{6}=\frac{61}{6}[/tex]

The sum of zeros is [tex]\mathbf{\frac{61}{6}}[/tex]

The table displays the total cost, y, of purchasing x tickets for the carnival.

A 2-column table with 3 rows. Column 1 is labeled Tickets, x with entries 11, 12, 13. Column 2 is labeled Total Cost, y (dollars) with entries 27.50, 30.00, 32.50.

Answers

Answer:

A, C, D

Step-by-step explanation:

Which conclusions can you draw from the data shown in the table? Select all that apply.

Twelve tickets cost $30.00.

Thirty tickets cost $12.00.

Each additional ticket costs $2.50.

The table is a partial representation.

(27.50, 11), (30, 12) and (32.50, 13) are the ordered pairs represented in the table.

Mr. Yoshi has 75 papers. He graded 60 papers and he had a student teacher grade the rest. What percent of the papers did each grade

Answers

Answer:

Student=20%

Teacher=80%

Step-by-step explanation:

60/75 x100

= 80

100-80

=20

write an Equation that represents the lines

Answers

Answer: The answer is Y=3/4x -4.5

Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5

Margaret and Miguel are shopping at a fruit stand. Margaret buys threes apples and two bananas and pays $1.90. Miguel buys two apples and five bananas and pays $2.00. Assuming that the fruit is priced per piece and not by weight, and that no sales tax is charged, find the price of one apple and one banana. Give your answer as an ordered pair (A, B), where A is the cost of one apple and B is the cost of one banana. Do not include the dollar sign with your answer.

Answers

Answer:

‍♀️no se lo que dises

Convert the following repeating decimal to a fraction in simplest form.
.72

Answers

Answer:

The real answer is 8/11

Step-by-step explanation:

The fractional value of 0.72 is 18/25.

What is Decimal?

A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole.

A decimal number comprises two parts: a whole number component and a fractional component. The decimal place value system is the same as the whole number value system for the whole component of a decimal number.

Given:

We have the decimal number 0.72.

Now,  we can remove the decimal and put the number of zeroes in the denominator.

So, 0.72

= 72/100

Now, simplifying the fraction as

= 36/ 50

= 18/25

Now put decimal point ahead of two number from the numerator.

So, 37/100 = 0.37

So, the decimal is 0.37.

Learn more about decimal here:

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Simplify:


A.
B.
C.
D.

Answers

Answer:

D. [tex] \frac{79}{6} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{7}{2} - \frac{1}{3} \bigg).( - 2)^{2} + \frac{1}{2} \\ \\ = \bigg( \frac{7 \times 3 - 1 \times 2}{2 \times 3} \bigg).4 + \frac{1}{2} \\ \\ = \bigg( \frac{21 - 2}{6} \bigg).4 + \frac{1}{2} \\ \\ = \frac{19}{6} \times 4 + \frac{1}{2} \\ \\ = \frac{19}{3} \times 2 + \frac{1}{2} \\ \\ = \frac{38}{3} + \frac{1}{2} \\ \\ = \frac{38 \times 2 + 1 \times 3}{3 \times 2} \\ \\ = \frac{76 + 3}{6} \\ \\ = \frac{79}{6} [/tex]

I need help pls!!! Eeeeeek

Answers

Answer:

first

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Look at the number 451,433. What place is the 5 in?

Answers

Answer:

Step-by-step explanation:

the 10,000's column

hope this helped :)

Answer:

[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]

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