someone pls help
the question is
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 8 grams and the amount of gold in each necklace is 16 grams. The jeweler made a total of 12 bracelets and necklaces using 160 grams of gold. Graphically solve a system of equations in order to determine the number of bracelets made, x, and the number of necklaces made, y.
Answers
The number of bracelets is 4.
The number of bracelets is 8.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
Number of bracelets = x
Number of necklaces = y
Amount of gold in each bracelet = 8 grams
Amount of gold in each necklace = 16 grams
Now,
x + y = 12 _____(1)
x = 12 - y ____(2)
8x + 16y = 160 ______(3)
Substituting (2) in (3) we get,
8(12 - y) + 16y = 160
96 - 8y + 16y = 160
96 + 8y = 160
8y = 160 - 96
8y = 64
y = 8
Now,
x = 12 - y
x = 12 - 8
x = 4
Thus,
The number of bracelets and necklaces that were made is 4 and 8.
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Related Questions
The table shows a linear function. What is the rate of change?
Hours
Pay
1
18
1.5
23
2
28
2.5
33
3
38
Answers
Answer:
rate of change = 5
Step-by-step explanation:
the slope m gives the measure of the rate of change of the function
calculate the slope m using the slope formula
m = [tex]\frac{y_{2-y_{1} } }{x_{2-x_{1} } }[/tex]
with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table
m = [tex]\frac{18-38}{1-3}[/tex] = [tex]\frac{-20}{-2}[/tex] = 5
then rate of change = 5
John gains 5% by selling a book for 273. Find the cost price of the book
Answers
Answer:
$260
Step-by-step explanation:
$273 - 5% = $260
5% commission = $13
Answer:
260
Step-by-step explanation:
273-5%=260
After getting new carpet installed, Antonio noticed that the door would not close. He decided to trim 1/16 of an inch off the bottom of the door to see if it would help. After doing this three more times, the door finally closed. If the door was originally 84 5/8 inches tall, how tall was it after he trimmed it?
Answers
After he trimmed it, it was [tex]84\frac{3}{8}[/tex] inches tall. This can be solved using expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.The expression becomes:
= [tex]84\frac{5}{8} - [{4 * (\frac{1}{16})][/tex]
= [tex]84\frac{5}{8} - [\frac{1}{4}][/tex]
= [tex]84\frac{3}{8}[/tex]
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What should be the value of a if the value of 2x² X − a 5 when x 0?
Answers
The value of a=0 in a given expression.
what are expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.
Define algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
If the value of 2x² - a*5 when x = 0 is 0, then we can substitute x = 0 into the equation and solve for a.
So,
[tex]2(0)² - a5 = 0[/tex]
[tex]-a5 = 0[/tex]
[tex]a = 0[/tex]
Therefore, the value of a should be 0.
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If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits?
Answers
Answer: the answer is the option
Employee B: gross pay $32,900, total job benefits $34,000
hope this helped you
The other day, we made green water by mixing 5 ml of blue water with 15 ml of yellow water.
We want to make a very SMALL batch of the SAME shade of green water.
We need to know how much yellow water to mix with only 1 ml of blue water.
Answers
5 divided by 1 equals 5, so if we take that same rule and apply it to the other fraction; 15 divided by 5, we get 3. So 5ml/1ml = 15ml/3ml. ***You need to mix 3 ml of yellow water with 1 ml of blue water.***
The temperature was recorded at midnight for 5 consecutive days. The
recorded temperatures are: -2°, 4°, 5°, -6°, and 9°. What is the average
temperature?
Answers
Last Wednesday two friends met up after school to read a book they were both assigned in literature class. Julie can read 3 pages per minute and she has already resd 9 pages. Cassie who has a reading speed of 2 pages per minute, had read 35 pages. Eventually they had read the same number of pages. How many pages had each of them read? How long did it take?
Answers
Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
What are linear equations?
A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.
Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.
We can set up the equation:
x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)
x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)
We know that they read the same number of pages, so we can set the two equations equal to each other:
3t + 9 = 2t + 35
We can then solve for t:
t = 26 minutes
So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:
x = 3t + 9 = 3(26) + 9 = 79 pages
Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.
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a) Find f(t).
ℒ−1
e−????s
s2 + 1
f(t)=? + (?) (t - ?)
Answers
The value of function, f(t) for L⁻¹ ( e−s /(s²+ 1)) is equals to sin( t - π ) u(t-π) .
The Laplace transform is the essential term of the given derivative function. Moreover, it comes with a real variable (t) for converting into complex function with variable (s). For ‘t’ ≥ 0, let ‘f(t)’ be given, the Laplace transform of ‘f(t)’, denoted by 'L{f(t)}' or ‘F(s)’ is definable with the equation:
[tex] L(f(t)) = F(s) = ₀∫^{ \infty } e⁻ˢᵗ f(t)dt[/tex]
we have L⁻¹ ( e−s /(s²+ 1))
Now, L⁻¹ (1 /(s²+ 1)) = sin(t)
so, L⁻¹ ( e−s /(s²+ 1)) = sin( t - π ) u(t-π)
where u(t-π) is unit of step function.
so, required function f(t) is sin( t - π ) u(t-π).
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Complete question:
Find f(t) ℒ−1 (e−s /(s²+ 1))
f(t)=? + (?) (t - ?)
can somebody please help me with this
Answers
The scale factor of the image is 1/4 or 0.25.
What is scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
To solve this question, use the coordinates of WX and W'X' as points of reference.
From the diagram, it can be obtained that -
W(-8,8) and X(8,0)
W'(-2,2) and X'(2,0)
First, calculate distance for WX -
Distance formula is -
d = √(x2-x1)^2+(y2-y1)^2
Distance for WX -
d1 = √(8+8)^2+(0-8)^2
d1 = √(16)^2+(-8)^2
d1 = √256+64
d1 = √320
d1 = 17.88
Distance for W'X' -
d2 = √(2+2)^2+(0-2)^2
d2 = √(4)^2+(-2)^2
d2 = √16+4
d2 = √20
The scale factor is then calculated using -
Scale = W'X'/WX
Scale = d2/d1
Substitute values of d1 and d2 -
Scale =√20/√320
Scale = √(20/320)
Scale = √1/16
Scale = 1/4
Therefore, the scale value is 0.25.
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Freda bought a sandwich for $4. 00 and a drink for94$. Her grandson ordered a meal for$6. 35. What was the total price of all three items when 8% sales tax was added?Explain how touse estimation to check whether your answer is reasonable
Answers
The answer is $112.70 The Question is a simple Sales tax rate calculating problem.
How do you solve sales tax problems?Multiplying the purchase price by the sales tax rate will provide the sales tax. Don't forget to round the sales tax rate from percent to decimal. The price of the purchase is increased after the sales tax has been calculated. The entire cost is what the client pays as a result.
Sales tax rate = Sales tax percent / 100.
Sales tax = List price x Sales tax rate.
Given,
Rate of sandwich is = $4. 00
Rate of drink is = 94$
The rate of a meal that Her grandson ordered is =$6. 35.
What was the total price of all three items when 8% sales tax was added?
Total price of all three items without tax = 4 + 94 + 6.35
= $104.35
Total price of all three items with tax = (100% + tax) * Price
= (100% + 8%) * 104.35 = 108% * 104.35
= 1.08 * 104.35 = 112.698
≅ $112.70
The estimation to check if the result is reasonable by putting the answer in the original equation.
E.g. x + 4 = 10; x = 10 - 4
We get that x = 6
Plug in x = 6 in x + 4 = 10.
6 + 4 = 10.
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the total cost of the airline ticket is $432, including an 8% tax. What was the cost of the ticket before the tax was added?
Answers
3 times one number minus a second is 8 and the sum of the numbers is 12
Answers
Answer: 3x-y=8
Step-by-step explanation:
What kind of angle is ∠ABC Why?
Answers
Angle sum of three angles of ABC triangle must be equal to 180 degrees.
What is angle and triangle?Angle is the space between two intersecting lines or surface or at close to the point where there ends point meet.
A triangle is a polygon that has three straight sides and three angles.
What kind of angle is a ABC why?Let, ABC is a triangle. The angles in this triangle can be different types.
All angles in ABC can be lies between 90 degrees and that time triangle is called acute triangle. If ABC has one right angle, then this is termed as right-angled triangle.
If one of the angles is measured greater than 90 degrees, the triangle is called obtuse triangle.
if we find all angles in ABC triangle is equal to 60 degrees, this is termed as equilateral triangle.
But for each triangle, the sum of three angles must be equal to 180 degrees.
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y<3x+12, y≥5x+7
The solution of the system of linear inequalities.
Answers
Answer: nswer ; x , we can find ; y with the first equation :.
1 answer
·
We know that y=5x−7 so we are just going to replace the y in the other equation : −3x−
Step-by-step explanation:
To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up a
triangular configuration as show in the diagram. The distance from Location A to Location B is 97
meters. The measures of the angles at A and B are 46 and 103 °. What is the distance from the
edge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of a
meter.
A
B
C
Answers
Therefore ,the result is. It means that there exist 17 units between the two points supplied as the answer to the given distance problem.
Specify the distance.An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of range and displacement.
Here,
6 and -3 are given (2, -2)
Points (a, b) and (c, d) are now separated by
d= √(c-a)² + ( d- b) ²
d= √(-3+2)² + (2-6)² as a result.
=>d = √ 1 + 16 = √17
The distance between the two places is therefore 17 units.
the result is. It follows there are 17 units between the two points supplied as the answer to the given distance problem.
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Farmers Lirn and Rew both bought gespils and alabers for their farms. Lirn bought 8 gespils and 9 alabers for $117. Rew bought 3 gespils and 8 alabers for $67. Write a system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y).
Answers
The system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -
8x + 9y = 117
3x + 8y = 67
What is expression?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 that Farmers Lirn and Rew both bought gespils and alabers for their farms. Lirn bought 8 gespils and 9 alabers for $117. Rew bought 3 gespils and 8 alabers for $67.
We can write the system of equations as -
8x + 9y = 117
3x + 8y = 67
Where -
cost of gespils → (x)
cost of alabers → (y).
Therefore, the system of equations, in standard form, modeling the relationship between cost of gespils (x) and cost of alabers (y) is -
8x + 9y = 117
3x + 8y = 67
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2 of 10
x
Colin buys a car for £27900.
It depreciates at a rate of 3% per year.
How much will it be worth in 2 years?
Give your answer to the nearest penny where appropriate.
Answers
Answer:
Below
Step-by-step explanation:
3% loss means 97% (.97 in decimal ) remains
after 2 years :
27 900 ( .97)^2 = £ 26251 .11
Need need help with it
Answers
Answer:
Step-by-step explanation:
This is pretty simple. To find the area of anything in square centimeters, you multiply the length by the height. You already have both of those number, so you just have to do 4.2 x 4.2 (or 4.2 to the second power). The answer is 21.84 square centimeters.
Answer: 21.84 square centimeters
Donny is raising money for the school charity drive by mowing lawns for $9.75 per lawn. How much will he raise for the drive? its a liner equation.
Answers
Answer:
y = 9.75x
Step-by-step explanation:
y = the money earned
x = number of lawns.
Lily purchases 3 gallons and two quarts of ice cream. How much ice cream did she purchase, in QUARTS
Answers
Answer:
14 Quarts
Step-by-step explanation:
1 Gallon = 4 Quarts.
3x4 = 12 + 2 = 14 Quarts.
Sue has 18 sweets
Tony also has 18 sweets
Sue gives Tony × sweets
Sue then eats 5 of her sweets
Tony then eats half of his sweets
Write expressions for the amount of sweets Tony and Sue now have
Answers
The expressions for the number of sweets that Tony and Sue now have are:
Given:
Sue has 18 sweets
Sue = 18
Tony also has 18 sweets, that is:
Toney = 18
Sue gives Tony × sweets; that is
Sue = 18 - x; and
Tony = 18 + x
Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:
that is ⇒
Sue = 18 - x - 5
Tony = (18 + x) / 2
Thus, simplifying the above, we have:
Sue = 13 - x
Tony = (18 + x) / 2
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Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.
Hint: Use the change of base formula: log base b of y equals log y over log b.
Answers
Step-by-step explanation:
continuation of the previous answer:
now, for the final step angie should use the change of base formula in order to make the logarithmic expression simpler to analyze.
[tex]x = \frac{ log(6) }{ log(23) } [/tex]
after applying this formula Angie has successfully solved her exponential equation.
Answer:
Angie should use the change of base formula to make this equation faster. Which would be x= log(6)/log(23). Then, after using this formula and just plugging it into your calculator, Angie should have successfully answered her question.
Step-by-step explanation:
I took the exam
Graph the system.
What is the estimated solution of the system?
Enter your answer in the blanks. Round each coordinate to the nearest integer.
The lines intersect closest to the integer coordinates
Answers
The solution to the system of linear equations (x, y) lies along 4 and 7 and the graph is attached below.
What is Graph of System of Linear EquationsA graph of a system of linear equations is a set of points in a coordinate plane that represent all the solutions to the system of equations. The graph can be visualized as a collection of lines that intersect at the points that are solutions to the system.
In the given problem, we have two linear equations which are
y = 3x - 6 ...eq(i)
y = 2/5x + 5 ...eq(ii)
Plotting the two equations on a graph using a graphing tool, the point of intersection is the solution to the system of linear equation.
The coordinates to the nearest integer are (x, y) 4 and 7
The value of x is 4 and y is 7
Kindly find attached graph below.
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aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2. Aleris can spend no more than $24 on the gift. write an inequality that describes the situation
Answers
The inequality when apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift is 3a + 2o ≤ 24.
How to illustrate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
In this case, Aleris is sending a fancy organic fruit basket to her grandma for her birthday. apples cost $3 and oranges cost $2 and Aleris can spend no more than $24 on the gift.
Let apple = a
Let orange = o
Therefore, the inequality will be:
3a + 2o ≤ 24.
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A website lists homes for sale in a suburban town. The site provides information including neighborhood, selling price, number of bedrooms, and whether the home has a garage. What are the individuals in this setting?
homes
neighborhoods
selling prices
bedrooms
answer is homes
Answers
Based on the description above, the individuals in this setting is option A: homes.
Whys the setting home?The website lists homes for sale in a suburban town and provides information such as neighborhood, selling price, number of bedrooms, and whether the home has a garage.
In this case each house is an instance or a data point of a "home" object, these objects have different attributes or features like neighborhood, selling price, number of bedrooms and garage, these attributes are used to describe the characteristics of the home, they are also called features.
Therefore, each home is an individual unit being sold on the market. Neighborhoods, selling prices, and bedrooms are attributes or characteristics of the homes, and they help provide more information about each individual home being listed.
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Last year at a certain high school, there were 75 boys on the honor roll and 120 girls on the honor roll. This year, the number of boys on the honor roll increased by 24% and the number of girls on the honor roll increased by 10%. By what percentage did the total number of students on the honor roll increase
Answers
The total number of students on the honor roll increased by 20%.
Given that, 75 boys and 50 girls on the honor roll
=> boys increased by 24% = 75*24/100 = 18
So, the number of boys is increased by 18.
=> girls increased by 14% = 50*14/100 = 7
So, the number of girls is increased by 7.
After the increment, the number of boys and girls on the honor roll is 93 and 57, respectively.
Thus, the total number of students increased = 18+7 = 25
Therefore, the percentage increment in total = 25 / 125 * 100 = 20%
Hence, The total number of students on the honor roll increased by 20%.
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A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g
Answers
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.
The confidence interval for the difference of the population mean is calculated as,
CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2
= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82
=6.4 ± 1.199
=(v5.201 , 7.599)
therefore , approximately 5.20 , 7.60 .
Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.
The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.
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Why is a 5th interval called perfect?
Answers
The 5th interval is called perfect
Interval notation is a method to represent an interval on a number line.
The 5th interval is called perfect
Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.
Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5.
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Which expression simplifies to
m-2
—— ?
m-1