A costume designer needs some silver and gold thread for the costumes for a school play. She needs a total of 240 yards. At a store that sells thread by the yard, silver thread costs $0.04 a yard and gold thread costs $0.07 a yard. The designer has $15 to spend on the thread.

How many of each color should she get if she is buying exactly what is needed and spending all of her budget?

Write an equation for the length constraint. Write an equation for the cost constraint. solution

Answers

Answer 1

Answer:

Where s represents silver and g represents gold,

Length constraint: s+g=240

Cost constraint: 0.04s+0.07g=15

s= 60

g=180

Step-by-step explanation:

Answer 2

The measurement of silver and gold threads in yards is given as 60 and 180 respectively.

What is a system of linear equations?

A system of linear equations is a group of  equations having same number of variables and degree.

For the n number of variables n number of equations are required.

On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.

The given problem can be solved as follows,

Suppose the number of yards for silver threads be x and that of gold be y.

Then the equation for the total yard is given as,

x + y = 240                  (1)

And, the equation for the cost is,

0.04x + 0.07y = 15      (2)

The value of x from equation (1) is x = 240 - y.

Substitute the value of x in equation (2) to obtain,

0.04(240 - y) + 0.07y = 15  

=> 9.6 - 0.04y + 0.07y = 15

=> 0.03y = 15 - 9.6

=> 0.03y = 5.4

=> y = 180

Substitute the value of y in x = 240 - y to obtain,

x = 240 - 180 = 60

Hence, the costume designer should get  silver and gold thread of 60 yards and 180 yards respectively.

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Related Questions

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound. How much of each brand of coffee is needed to make 5 pounds that will cost
$6.75/pound?

A. 0.8 pounds Brand A, 4.2 pounds Brand B
B. 2.7 pounds Brand A. 2.3 pounds Brand B
C. 4.2 pounds Brand A. 0.8 pounds Brand B
D. 2.3 pounds Brand A. 2.7 pounds Brand B

Answers

Answer:

C. 4.2 pounds Brand A. 0.8 pounds Brand B

Step-by-step explanation:

How much of each brand of coffee is needed to make 5 pounds that will cost

$6.75/pound?

Let the number of pounds for Brand A = x

Let the number of pounds for Brand B = y

Brand A coffee sells for $7/pound, while Brand B sells for $5.40/pound.

$7 × x + $5.40 × y = $6.75 × 5

7x + 5.40y = 33.75.......Equation 1

x + y = 5 .......Equation 2

x = 5 - y

7(5 - y)+ 5.40y = 33.75

35 - 7y + 5.40y = 33.75

35 - 33.75 = 7y - 5.40y

= 1.25 = 1.6y

y = 1.25/1.6

y = 0.78125 pounds.

Approximately to the nearest whole number, Brand B = 0.8 pounds.

x = 5 - y

x = 5 - 0.8 pounds

x = 4.2 pounds

Brand A = 4.2 pounds

blank times blank = 1.5

Answers

Answer:

12

Step-by-step explanation:

Answer:

Your answer is:

1) 0.75  *  2

2) 0.3  *  5

Step-by-step explanation:

Hope any of these helped you : )

The circle graph shows how the money will be spent for the party.

Food: 30%
Drinks: 20%
Prizes and favors: 35%
Paper productions: 15%




The class has $300 for a party.

How much will be spent on party favors and prizes?

A: $35.00
B: $105.00
C: $195.00
D: $265.00

Answers

Answer:

B. $105.00

Hope this helps!

Which expression is equivalent to fourteen more than the product of three and nine

Answers

Answer:

Step-by-step explanation:

The product of 3 and 9 just means to multiply 3 and 9. This is written as:

3 x 9

14 more than this just means to add 14 to the above.

3 x 9 + 14

WILL BE MARKED BRAINLYEST
Ray OJ bisects Angle LOK.

Measurement of Angle LOK = 82 degrees.

Solve for x.

Answers

Answer:

x = 14

Step-by-step explanation:

<LOJ = 3x

<KOJ = (2x + 12)°

<LOK = 82°

m<LOJ + m<KOJ = m<LOK (angle addition postulate)

3x + 2x + 12 = 82 (substitution)

5x + 12 = 82

5x = 82 - 12 (Subtraction property of equality)

5x = 70

x = 70/5 (division property of equality)

x = 14

Rewrite the following expression: x3 + x5 =

Answers

Answer:

x + 8 = x8

Step-by-step explanation:

This is one of the many ways to rewrite this equation. The reason this is a way of rewriting it is because 3x plus 5x equals 8x and if you take away the variable from 3 and 5 and add the numbers together you get 8. So take the variable x add it to 8 and you get x8. Both equations have the same answer so therefor this is another way of writing the equation.

The linear equation has 5(x + 2) = 5x + 2 A) no solution. B) one solution. C) two solutions. D) infinitely many solutions

Answers

it's A it has no solution

98x34=(100x34)-(1x34)

Answers

Answer:

This statement is not true.

Step-by-step explanation:

98*34=3332

and

100*34=3400

1*34=34

3400-34=3366

(100*34)-(1*34)=3366

Can someone please help?

Answers

Y is 3 and x is -2 the answer
y= 3/2x + 3

hope this helps

debate time : crab or lobster best answer gets brainliest

Answers

Crab because it’s better and it’s 10/10

The stem-and-leaf plot shows the test scores of a science class. Use the plot to answer the question.
How many students scored 78?

Answers

Answer:

4 students

Step-by-step explanation:

Understanding stem-and-leaf plots

A stem and leaf plot is designed in a way to group the numbers by their values before the ones place;

i.e. 92, 100, 101, 103, 113

Charted as

9 | 2

10 | 0 1 3

11 | 3

So, with that in mind we know 78 is grouped under the 7 | # # #

stem and has the leaf of 8 which is displayed by # | # # # 8

SO,

TO SOLVE:

Count the 8's under the 7 | # # # # group

We can see that there are 4 8's under that section, and assuming that each number is representative of one students score, we can conclude that 4 students scored 78

Hope this helps,

J.M."Jamon"

     Pennsylvania State University

     Full-Time B.S.CE. Undergrad

Answer:

4 Students

Step-by-step explanation:

If you look at the four and cout how many 8 are across you will get 4!

Round four hundred seventy-six thousand three hundred twenty-one and fifty thousand eight hundred nine hundred-thousandths to the nearest dollar.

Answers

Answer:

476,321.50

476,322

Step-by-step explanation:

Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne's function?

Answers

Complete question is;

Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne’s function?

A) 0, 1, 2, 3, 4, …

B) …, −4, −3, −2, −1, 0

C) …, −3, −2, −1, 0, 1, 2, 3, …

D) …, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …

Answer:

Option A: {0,1, 2, 3, 4,....}

Step-by-step explanation:

Domain is simply a set of input while the range is a set of output values.

For example, if we have a function named f(x) = x², the domain will be all possible values of x being inputed while the range will be the value of f(x) for all possible values of x inputed.

Now, from the question, we are told that she wrote the amount of money she spent as a function of the number of bottles sold.

If the number of bottles sold is denoted by "x", it means the function is; f(x).

Now, number of bottles has to be a non-negative whole number or simply a non-negative integer. Thus, the possible values of x are all non-negative whole numbers like, 0,1, 2, 3, 4, 5....

Thus,domain is {0,1, 2, 3, 4,....}

Answer:

A. 0,1,2,3,4,.....

Step-by-step explanation:

estimate 203*12 = answer it plzzz

Answers

Answer:

2,436

Step-by-step explanation:

Answer: 2400 estimated

Step-by-step explanation:

Real answer would be 2,436

Select all of the nets that can be folded and assembled into a triangular prism like this one.

Answers

The nets that can be folded into the prism are A and D

The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

What is Triangle?

A triangle is a three sided polygon, which has three vertices and three angles.

Given that;

The triangular prism figure after fold is given.

Now, The triangular prism figure is contain two triangles and three squares.

So, In option A;

There are two triangles and three squares.

And, In option D;

There are two triangles and three squares.

Thus, The correct options for folded and assembled into a triangular prism are;

Option A and Option D.

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Come One Come All!!!!!

Answers

Answer: 1. is A, 2. is C, i dont know 3. 4. is B i think. then 5. is probably option 2

Step-by-step explanation:

Plz help ty very much

Answers

Answer:

A fungus breaks down the body of a dead animal or organism.

btw you cant be in college I did this years ago in fourth grade

A fungus breaks down the of a dead animal

MLN=QPR. What is the measure of <1 and <2?

Answers

Answer:

B. <1 = 90, <2 = 40

Step-by-step explanation:

Given that ∆MLN = ∆QPR, it follows that the measure of their corresponding angles would be of the same measure.

<P = right angle = 90°

<1 corresponds to <P, therefore, <1 = 90°

<R = 40°

<2 corresponds to <R, therefore, <2 = 40°.

The answer would be: B. <1 = 90, <2 = 40

Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.

Answers

Answer:  k = {8, -8}

Step-by-step explanation:

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero.       →        b² - 4ac = 0

  4x² + kx + 4 = 0

  ↓       ↓      ↓

a=4    b=k    c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k²             = 64

           k = √64

           k = ± 8

The points Q, R, S and T all lie on the same line segment, in that order, such that the
ratio of QR:RS: ST is equal to 1:4:5. If QT = 40, find RS.

Answers

Answer:

RS=3

Step-by-step explanation:

Solve for x:

6x+3x+x=10

All parts add up to whole

10x=10

Combine like terms

x=1

Use x to solve for segment lengths:

QR=6x=6(1)=6

RS=3x=3(1)=3

ST=x=1

Therefore RS=3

The length of the line segment RS will be 16 units.

What are collinear points?

An axis is a term used to describe a line on which points are located, particularly if that line is connected to a triangle or other geometric shape. Since two factors determine a line, two points are transparently collinear. If the points are in a line, then the points are collinear points.

Let Q, R, S, and T be the collinear points. Then the condition of the collinear will be

QR + RS + ST = QT

The points Q, R, S, and T all lie on the same line segment, in that order, such that the ratio of QR:RS: ST is equal to 1:4:5. If QT = 40.

Let QR / 1 = RS / 4 = ST / 5 = x

QR = x

RS = 4x

ST = 5x

Then the value of the variable x will be

QR + RS + ST = QT

x + 4x + 5x = 40

10x = 40

x = 4

Then the length of the line segment RS will be

RS = 4x

RS = 4 (4)

RS = 16

Then the length of the line segment RS will be 16 units.

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2/3-3/5 = ?/15-?/15

Answers

Answer:

10/15-9/15

Step-by-step explanation:

Answer:

2/3-3/5=10/15-9/15

Step-by-step explanation:

You want a common denominator which here is 15. To get to 15 in 2/3 you needed to multiply by 5 and in 3/5 you needed to multiply by 3.

out of 50 students,34 joined the journalism class and 25 joined the robotics club.If 16 students joined both clubs,how many students are in neither club​

Answers

7 students are in neither club

34+25= 59
59-16=43
43-50=7

Cna someone help me plzz

Answers

It’s the second answer 90 clockwise

Which expression is equal to -12 1/2 + 5 3/4

Answers

Answer: A

Step-by-step explanation:

It wants you to make it an in improper fraction

11. Given a polynomial P(x) = x³-4x²-5x is one of the zeroes.

a) Factorise P(x) completely
b) Sketch the graph of P(x)
C)Find the domain and range.​

Answers

Answer:

thats some tuff

Step-by-step explanation:

Answer:

Step-by-step explanation:

P(x)=x³-4x²-5x=x(x²-4x-5)

=x(x²-5x+x-5)

=x[x(x-5)+1(x-5)]

=x(x-5)(x+1)

domain (-∞,∞)

range: (-∞,∞)

If the length is 4 and the width is 6, what’s the height?

Answers

Answer:

The answer to this is: 24

Step-by-step explanation:

who got the answer to this ?
(4x^2+6+7)-(-8x^2-2x+6)

Answers

Answer:

12x^2+2x+7

Step-by-step explanation:

Distribute the Negative Sign:

=4x^2+6+7+−1(−8x^2−2x+6)

=4x^2+6+7+−1(−8x^2)+−1(−2x)+(−1)(6)

=4x^2+6+7+8x^2+2x+−6

Combine Like Terms:

=4x^2+6+7+8x^2+2x+−6

=(4x^2+8x^2)+(2x)+(6+7+−6)

=12x^2+2x+7

Which of the following is NOT true about Nebuchadnezzar?
He created a code of laws that were very strict.
He created the Hanging Gardens for his wife.
He went insane at the end of his life.
He decorated the city with colored bricks and animal statues.

Answers

Your answer would be C.

He did not go insane

true or false. The value -5 is an element of the solution set for the inequality x<-3​

Answers

No because -3 is more than -5

Answer: It’s True

The explanation: I did this already and I got an 100% I hope this helps I you have other questions just ask me! Hope you get a good score!

Two side of a triangle have the following measures. Find the range of possible measures for the third side.

8, 9



_______ < x < _______

Answers

Answer:

8<x<9

Step-by-step explanation

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