Mathematics College

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

Anyone know the answer to this ?

Answers

Answer:

10.4

Step-by-step explanation:

(10x - 4)/5 = 20

(10x - 4) = 20 * 5

10x - 4 = 100

10x = 104

x = 104/10

x = 10.4

I would appreciate brainliest, have an amazing day!

Can you figure out the missing number

Answers

Answer:

Im not sure exactly what this is but it seems the answer is 6 because the only number 1-9 thats not there!

Step-by-step explanation:

Hope this helps!! :)

The missing number is 6

What are missing numbers?

Missing numbers are numbers omitted from a group or series of numbers.

The main purpose of finding a missing number is to determine the mechanism by which the numbers are arranged or encoded.

From the given information:

The number given is natural numbers from 1 - 9,The missing number in the series from 1 - 9 in the box is 6.

Therefore, we can conclude that the missing number is 6.

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henry can write 5 1/4 pages of his novel in 3 hours how may pages does he write per hour

Answers

2 1/2

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What the meaning of "well-ordered by ∈"?

Answers

The phrase "well-ordered by ∈" refers to a specific kind of ordering or relation on a set using the element-of symbol (∈). In set theory, the symbol "∈" represents membership, indicating that an element belongs to a set.

The meaning of "well-ordered by ∈"

A well-ordering is a particular type of total order, where every non-empty subset of the set has a least element. In other words, for any subset of the set, there is always a smallest element in that subset according to the ordering relation.

When we say that a set is "well-ordered by ∈," it means that the elements of the set are arranged in a specific order such that the membership relation (∈) satisfies the properties of a well-ordering. This implies that every non-empty subset of the set has a smallest element with respect to the membership relation (∈).

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Help is appreciated :)

Answers

Answer:

Step-by-step explanation:

Can someone please help me out please? I’ll give brainliest :)

Answers

Answer:

c. 64ft^2

Step-by-step explanation:

Area of a square is length times width, so 8 times 8 which is 64.

64, this is because the side lengths of a square are all equal and to find area we need to multiply length times width so we get 8x8 which is 64

6.2 APPLICATION
State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.
Stat
12
36
AUTS-
10
30
2.
59
S
72
B
AUTS-
C
132
8
T

Answers

Answer:

gvv

Step-by-step explanation:

Solve: 6/11n−3/11n=−4+23/11

Answers

I think n=-7 ( i use calculator)

need answer asap thank you

Answers

Answer:

Step-by-step explanation:

First of all, if the width of the frame is 2, then add 2 to both sides of 7 to get the frame length7 + 2 + 2 = 11Do the same for 33 + 2 + 2 = 7Area of frame and white rectangle combined = 11 × 7 = 77Area of white rectangle is 7 × 3 = 21Now to get the area of the blue bit, subtract 21 from 77This gives you 56

A simple modeling clay recipe
calls for 1 cup corn starch, 2 cups
salt, and 2 cups boiling water. how
many cups of corn starch are
needed to mix with each cup of
salt?

Answers

Stir salt and water in a saucepan over heat 4-5 minutes.
Remove from heat; add cornstarch and cold water.
Stir until smooth; return to heat and cook until thick.
Allow the clay to cool, then shape as desired.
When dry, decorate with paint, markers, glitter, and so on.

1/2 cup of corn starch is needed per each cup of salt

Solve for the missing angle measures.

Answers

Answer:what were the anwsers

Step-by-step explanation:

Similarity - Item 33751 Select the two figures that are similar to each other. help pls

Answers

Answer:

Similar: First two shapes only

Step-by-step explanation:

Triangle Similarity Theorems

There are three triangle similarity theorems that specify under which conditions triangles are similar:

If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).

If the three sides are in the same proportion, the triangles are similar (SSS theorem).

If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).

The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.

The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.

The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar

Evaluate. Write your answer as a fractionin simplest form. 2 1/6 - (-8/3) + (-4 7/9)=

Answers

Answer: 1/20

Step-by-step explanation:

Does anyone know the answer to X - 5y

Answers

Answer:

Slope is 1/5
y intercept is (0,0)

help with this question

Answers

Answer: 50%

Step-by-step explanation: 180/390 = 1/2 =0.5

0.5*100 = 50%

No questions asked

If y = 5x + 1 is changed to y = 2x +
1, how would the graph of the new function compare with the first one?

Answer Choices:
It would be steeper.
It would be shifted down.
It would be less steep.
It would be shifted left.

Answers

The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

What is graph?

In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.

The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.

The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.

However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

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If y = 5x + 1 is changed to y = 2x +1, how would the graph of the new function compare with the first

whats the answer? :(

Answers

Answer:

D) 8$\frac{1}{2}$

Step-by-step explanation:
5$\frac{2}{3}$ ÷ $\frac{2}{3}$ = 8$\frac{1}{2}$

At which points is the function continuous?

Answers

The function is continuous in the domain x ≥ 3/4

At which points is the function continuous?

Here we have a root function:

f(x) = ⁴√(4x - 3)

This is an even degree root function, so we have problems when the argument is negative.

Then the allowed values (where the function is defined, and thus, continuous) are:

4x - 3 ≥ 0

4x ≥ 3

x ≥ 3/4

There the function is continuous.

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HELP ASAP PLEASE!!!!!!!!

Answers

Answer:

Step-by-step explanation:

1 : 1 :sqrt(2)

The legs are in the ratio of 1 to 1

tan 45 = opp side / adj side

tan 45 = 1/1

tan 45 =1

Answer:

Step-by-step explanation:

Genes are sections of DNA that code for a particular trait. Genes are?

Answers

Answer:

Genes are DNA transferred to off spring by parents

Answer:

Genes are sections of DNA that code for a particular trait. Genes are nucleic acids.

Step-by-step explanation:

an academic department has just completed voting by secret ballot for a department head. the ballot box contains four slips with votes for candidate a and three slips with votes for candidate (a) List all possible outcomes. This answer has not been graded yet. (b) Suppose a running tally is kept as slips are removed.

Answers

Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

What is probability?

The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.

Here,

(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.

Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:

AAAA

AAAB

AABA

ABAA

BAAA

AABB

ABAB

BABA

BBAA

ABBB

BABB

BBAB

BBBA

(b)

For instance, the following results could occur if the slips were removed in the following order:

A (1 vote for contender A) (1 vote for candidate A)

AA (2 ballots for candidate A) (2 votes for candidate A)

AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)

AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)

AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)

AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)

AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)

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Functions W and Z are both linear functions of x. Which statement comparing the functions is true?

Answers

Answer is in the file below

tinyurl.com/wpazsebu

40 pts plsss helpppp!!!!!!!!

Answers

Answer:b

Step-by-step explanation:

Answer ↣ C

Solution ↧

Gasoline A ↬ 20.20 / 10 = $2.02 per gal.

Gasoline B ↬ 26.04 / 12 = $2.17 per gal.

Gasoline C ↬ 28.14 / 14 = $2.01 per gal.

Gasoline D ↬ 30.45 / 15 = $2.03 per gal.

Gasoline C is the least expensive option.

Let me know if this is right! :)

Please look at the pic and help!!

Answers

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Zoe walks 1/3 of a mile every 2/5 of an hour.
How many miles does Zoey walk per hour?

Answers

The miles that Zoey walks per hour is 1 1/6 miles.

What does division mean?

Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.

How many miles does Zoey walk per hour?

Miles per hour = 1/3 ÷ 2/5

1/3 x 5/2 = 5/6 = 1 1/6 miles

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Question 1 (1 point)
Simplify-9(x + 3) + 15x
06x-27
33x
06x + 27
24 + 27 I will give 100 points pls hurry

Answers

Answer:

A) 6x - 27

Step-by-step explanation:

Given expression:

$-9(x + 3) + 15x$

Apply the distributive property:

$\implies -9 \cdot x -9 \cdot 3+15x$

$\implies -9x -27+15x$

Collect like terms:

$\implies -9x+15x -27$

Combine like terms:

$\implies 6x -27$

Answer:

$ \sf \: a) \: 6x - 27$

Step-by-step explanation:

Now we have to,

→ simplify the given expression.

The expression is,

→ -9(x + 3) + 15x

Let's simplify the expression,

→ -9(x + 3) + 15x

→ -9x - 27 + 15x

→ (-9x + 15x) - 27

→ (6x) - 27

→ 6x - 27

Hence, the answer is 6x - 27.

a backpack that normally sells for $40 is on sale for $30. find the percentage of a change.

Answers

Answer:It would be 40•.25=10

Step-by-step explanation: which means 40-10=30 so it’d be .25 and you’d move the decimal over 2 spots so it’d be 25% off

sketch the region enclosed by y=6x and y=8x^2. find the area of the region.

Answers

Answer:

The area enclosed by the given curves is square units.

Step-by-step explanation:

The given equations are

Draw the graph of the given equations.

From the below graph it is clear that both curves intersect each other at (2,12) and (4,24).

The area of the region enclosed by curves is

Therefore the area enclosed by the given curves is square units.

Pls help will mark brainliest

Answers

Answer:

2462.4 square inches

Step-by-step explanation:

we know the shorted side of the wall is 36 inches so we divide 2.5 to 36 to see how much bigger the actual wall is to the scale

36/2.5= 14.4

The actual wall is 14.4 times bigger than the scale

14.4 x 4.75= 68.4

68.4 x 36= 2462.4 inches

Question 12 of 22
Select the action you would use to solve = 16. Then select the property that
justifies that action.
A. Property: Multiplication property of equality.
B. Action: Add 4 to both sides.
C. Property: Addition property of equality.
D. Action: Divide both sides by 4.
E. Property: Division property of equality.
OF Action: Multiply both sides by 4.

Answers

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

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