You are buying ribbon to make costumes for a school play. Organza ribbon costs $.07 per yard. Satin ribbon costs $.04 per yard. Write an equation to model the possible combinations of yards of organza ribbon and yards of satin ribbon you can buy for $5. List several possible combinations.

Answers

Answer 1

Answer:

Let's define the variables:

x = yards of Organza ribbon that you buy.

y = yards of Satin ribbon that you buy.

We know that the price per yard of Organza ribbon is $0.07, this means tat if you buy x yards, the cost will be:

C = x*$0.07

And the cost of the Satin ribbon is $0.04, so if you buy y yards of that ribbon, the cost will be:

C = y*$0.04

Adding that together, the total cost is:

C = x*$0.07 + y*$0.04

Now we know that you pay $5, this means that the total cost is exactly $5, then we have the equation:

$5 = x*$0.07 + y*$0.04

Now we can isolate the variable y to get:

y = ($5/$0.04) - x*($0.07/$0.04)

y = 125 - x*1.75

Now we can just input different values of x to find the correspondent value of y.

This means that:

if x = 0 (0 yards of the Organza ribbon)

then:

y = 125 - 0*1.75 = 0

This combination is:

0 yards of organza, and 125 yards of satin.

Now, if x = 20, then:

y = 125 - 20*1.75  = 90

This combination is:

20 yards of organza, and 90 yards of satin.

if x = 40, then:

y = 125 - 40*1.75 = 55

This combination is:

40 yards of organza, and 55 yards of satin.

The 3 combinations that we found cost exactly $5.


Related Questions

Seven of the 28 dogs at the shelter are purebred. What percent of the dogs are purebred? (Please help I have been stuck on this question for an hour)
The question is set up btw-

Answers

Answer:

25% are purebred

Step-by-step explanation:

7 out of 28 dogs are purebred

7  x 10 = 70

28 x 10 = 280

70 / 280 = 2.5 / 10 = 25 / 100 = 25%

x-y=-3
please answer this right

Answers

Answer:

x +3 = y

Step-by-step explanation:

So you are looking for mx + b = y

m is the slope

b is the initial value

Try to isolate the y variable

x - y = -3

Subtract x from both sides

-y = -x - 3

Multiply everything by -1 to make the y value positive

y = x + 3

A studio apartment measures 26 feet by 39 feet. It sells for 295 per square foot. What is the total cost of the apartment

Answers

Answer: 299130 dollars is the total cost of the apartment.

Step-by-step explanation:

26 time 39 is 1014. Additionally, 1 square foot is 295 dollars per square foot. Meaning 1014 x 295 is 299130.

Thirty-two cyclists make a seven-day trip. Each cyclist requires 8.33 kilograms of food for the entire trip. If each cyclist wants to eat an equal amount of food each day, how many kilograms of food will the group be carrying at the end of Day 5?

Answers

Answer:

76.16 kilograms of food

Step-by-step explanation:

Number of cyclist = 32

Food per cyclist = 8.33 kilograms

Days of the trip = 7 days

Food per cyclist per day = 8.33 kg / 7

= 1.19kg food per day for each cyclist

how many kilograms of food will the group be carrying at the end of Day 5?

5 days out of 7 days = 2 days

Each cyclist will have to carry = 2 × 1.19 kg of food for the remaining two days

= 2 × 1.19

= 2.38 kilograms of food for two days

32 cyclist for 2 days = 32 × 2.38 kg of food

= 76.16 kilograms of food

The group will be carrying 76.16 kilograms of food at the end of Day 5

select all of the solutions to the equation below.
12x^2=24

Answers

Answer:

x=√2 or x=−√2

x=±√2

Step-by-step explanation:

12x^2=24

Step 1: Divide both sides by 12!

12x^2/12=24/12

x^2=2

Step 2: Take the square root!

x=±√2

The solution of the equation 12x² = 24 is x = ±√2.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the equation is :

12x² = 24

now, to solve for x :

divide both side by 12 :

x² = 24/12

x² = 2

take square root both  side :

x = ±√2

Therefore, the solution of the equation 12x² = 24 is x = ±√2.

Read more about equations at :

https://brainly.com/question/12895249

#SPJ6

Natalie walked 3/5 mile in 1/2 hour. How many miles did she walk per hour

Answers

Answer:

She walked 1  1/5 miles per hour.

Step-by-step explanation:

In the figure below, the smaller circle has a radius of two feet and the larger circle has a radius of four feet. What is the total area of the four shaded regions? Express your answer as a decimal to the nearest tenth.

Answers

Answer:

8.6

Step-by-step explanation:

Answer:

8.6

Step-by-step explanation:

AoPs Answer

The difference between one-half a number and the number is 8 find the number

Answers

Answer:

The number is  48

Step-by-step explanation:

First, let's call the number we are looking for n.

We can then write "two-thirds of the number" as 2/3n

We can also write "one-half of a number" as 1/2n

Finally, we are told 1/2n is the same as 2/3n −8 or: 1/2n = 23n −8  

We can now solve for n: 1/2n − 2/3n = 2/3n −8 − 2/3n 1/2n − 2/3n = −8We next need to get the fractions over common denominators, in this case, 6 by multiplying each fraction by the necessary for of 1: (3/3) 1/2n − (2/2) 2/3n = −8 3/6n − 4/6n = −8 − 1/6n = −8.  

We can finally solve for n by multiplying by -6 to isolate n −6 ⋅(−1/6)n = −8⋅ − 6  

1n = 48

n =48

What is the area of this parallelogram?
28 m2
56 m2
84 m2
120 m2

Answers

Answer:

area = 84m^2

Step-by-step explanation:

Find the slope of each line

Answers

Answer:

Positive, Negative, undefined, positive

Step-by-step explanation:

what is 5/12 of 2/5 i need help

Answers

Answer:10/60

If need to  simply it is 1/6.

Step-by-step explanation: Mutiply 5/12 by 2/5 .

The graph below represents the distance in miles (y), Jonathan travels on his bike in minutes (x). The table represents the distance in miles (y).
Terrance travels on his bike in minutes (x).

Answers

Answer:

We cant see the question

Step-by-step explanation:

You cant post images because we can't see them

Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the total income from the tickets (y)?

Answers

Answer: The first graph with the line going up

What is the equation of the line that passes through the point (-5, 7)
and has a slope of –1/5?

Answers

The equation is y = -1/5x + 6

Please help me with this question!!

Answers

Answer: The answer is B

Step-by-step explanation:

Look at A- You can see that it wants you to go to English and see that 50 freshmen chose english. Then, you go to undecided, you see that it has 50 freshmen who chose it as well. They are the same, so it is false.

Look at B- You can see that it wants you to go to Education and see that 60 people chose Education. Then you go to both Science or other and see that they are both less than Education. So, this statement would be correct.

Look at C- You can see that it wants you to go to business or Education and see that 45 people chose business and 60 people chose education. Go to science, 35 people chose science and 40 chose engineering. This is false.

Look at D- 45 people chose business as their major and 50 chose english as their major, so no this wouldn't be correct because 45 if less than 50 and it says that it would be greater than 50.

So, B would be the correct answer to this problem.

help me I am struggling

Answers

Answer:

the answer is A. 72 degrees

Step-by-step explanation:

subtract 108-180= 72

HELP I WILL GIVE BRAINLIEST

Answers

Answer:

The variable "a" can represent anything except a negative number since it is negative 38 on the opposite end, so put 1 or anything higher to make this equation true. :D

Step-by-step explanation:

If the sum of the interior angles of a polygon is 4680°, how many sides does the polygon have?

Answers

Answer:

oh yes i see

Step-by-step explanation:

ya well good luck! :)

plzzzzzz helpp thxxxx

Answers

Answer:

19°

Step-by-step explanation:

The angle that measures 114° is equal to (6x)°

From here divide 114 ÷ 6 = 19

x = 19

Hope this helps!

The residents of a city voted on whether or not to raise property taxes. The ratio of yes votes to no votes was 4 to 3. If there were 1716 no votes, what was the total number of votes?

Answers

The answer would be 13,728 because you have to multiply 1716 by 3 and multiply 1716 by 4 and add them, then add 1716 and get 13,728.


In a school of 330 students, 85 of them are in the drama club,
200 of them are in a sports team and 60 students do drama and sports.
Find the probability that a student chosen at random isru't in the drama club
or in a sports team
You may wish to complete the Venn diagram to help you.
E
Drama
Sports
Probability using Venn Diagrams
View One Minute Version

Answers

Answer:

105 students

Step-by-step explanation:

Do not forget draw with a rular and protractor

which equation represent the line that passes through the point(-3.4,8.3) and has a slope of 6.5

Answers

Answer:

        y - 8.3 = 6.5(x + 3.4)     {the point-slope form of the equation}

        y = 6.5x + 30.4            {the slope-intercept form of the equation}  

        65x - 10y = - 304            {the standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.

m = 6.5

(-3.4, 8.3)    ⇒   x₀ = -3.4,  y₀ = 8.3

The point-slope form of the equation:

y - 8.3 = 6.5(x + 3.4)

So:

y - 8.3 =  6.5x + 22.1         {add 8.3 to both sides}

y = 6.5x + 30.4             ←  the slope-intercept form of the equation

 y - 6.5x = 30.4                   {multiply both sides by (-10)}

65x - 10y = - 304               ←  the standard form of the equation

If $2, 400 is divided evenly by 3 charities, how many dollars does each charity get?

Answers

Answer:

$800

Step-by-step explanation:

2,400/3 = 800

2. Angela is 4 1/2 years older than Tony. Three times Angela's age added to
six times Tony's age is 36. How old are Angela and Tony?

Answers

Answer:  You see this is q trick question meant to get your brain all confused. IT gives you the answer, It states that Tony is 36 years old and Angela is 4 and 1/2 years older than Tony which would make her 40 1/2 years old.

Step-by-step explanation:

PULEASEEEEEE I HELPPPPP!!

*LOOK AT PICTURE*

Answers

Answer:

B Cos 3/25

Explanation:

X is the missing angle. From X the opposite side is the bottom of the triangle, and the adjacent is 3. Since Cos is the adjacent over the hypotenuse, the answer is Cos 3/25

what is the slope of (-4, 3) & (2,-6)

Answers

Answer:

-3/2 = -1.5

Step-by-step explanation:

u can use wolfram alpha for stuff like that

please answer this question guys.

Answers

Answer:

45yand12yv

Step-by-step explanation:

solve. 2(x - 3) = -8

Answers

Answer:

x = -1

Step-by-step explanation:

2(x - 3) = -8

2x - 6 = -8

2x = -8 + 6

2x = -2

2x/2 = -2/2

x = -1

X = 7 ——— you’re answer is 7

what is 9/10 divided by 3.8 ? By quotient

Answers

Given:

[tex]\dfrac{9}{10}[/tex] divided by 3.8.

To find:

The quotient.

Solution:

We have,

[tex]\dfrac{9}{10}[/tex] divided by 3.8.

Mathematically it can be written as

[tex]\dfrac{9}{10}\div 3.8[/tex]

Convert the decimal into fraction by multiplying and dividing by 10.

[tex]=\dfrac{9}{10}\div \dfrac{38}{10}[/tex]

[tex]=\dfrac{9}{10}\times \dfrac{10}{38}[/tex]       [Reciprocal rule of division]

[tex]=\dfrac{9}{38}[/tex]                     (Cancel out the common factors)

[tex]\approx 0.237[/tex]

Therefore, the quotient is [tex]\dfrac{9}{38}[/tex], which is approximately 0.237.


Which angle is congruent to angle 8?

Answers

i think number 1 might be the answer
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