Skill plansTX StandaScienceRecommendationsA Math49 Language artsSocial studiesAlgebra 1> 0.11 Solve a system of equations using elimination: word problems NHRYou have prizes to reveal! GotWrite a system of equations to describe the situation below, solve using elimination, and fill inthe blanks.Kaylee is selling her handmade jewelry online. Yesterday, she sold 9 bracelets and 3necklaces, for a profit of $144. Today, she made a profit of $279 by selling 10 bracelets and 9necklaces. How much profit does Kaylee earn from each piece?Kaylee earns a profit of $|| from every bracelet and $from every necklace.Submit
Answers
Let x be the profit of a bracelet and y the profit of a necklace.
Yesterday she sold: 9 bracelets and 3 necklaces, for a profit of $144:
[tex]9x+3y=144[/tex]Today, she made a profit of $279 by selling 10 bracelets and 9 necklaces:
[tex]10x+9y=279[/tex]System of equations:
[tex]\begin{gathered} 9x+3y=144 \\ 10x+9y=279 \end{gathered}[/tex]To solve by elimination:
1. Multiply the first equation by -3:
[tex]\begin{gathered} -3(9x+3y=144 \\ \\ -27x-9y=-432 \end{gathered}[/tex]2. Add equation you get in step 1 and the second equation in the system:
[tex]-17x=-153[/tex]3. Use the equation you get in step 2 to solve x:
[tex]\begin{gathered} \text{Divide both sides of the equation into -17} \\ \\ \frac{-17}{-17}x=\frac{-153}{-17} \\ \\ x=9 \end{gathered}[/tex]4. Use the value of x to solve y:
[tex]\begin{gathered} 9x+3y=144 \\ \\ 9(9)+3y=144 \\ 81+3y=144 \\ \\ \text{Subtract 81 in both sides of the equation:} \\ 81-81+3y=144-81 \\ 3y=63 \\ \\ \text{Divide both sides of the equation into 3:} \\ \frac{3}{3}y=\frac{63}{3} \\ \\ y=21 \end{gathered}[/tex]Then, the solution for the system is :
[tex]\begin{gathered} x=9 \\ y=21 \end{gathered}[/tex]Kaylee earns a profit of $9 from every bracelet and $21 from every necklace
Related Questions
convert into paisa RS.35.25
Answers
When RS.35.25 is converted into paise it will be :
3525 paise
How Rupee is converted into Paise? Each nation has its own currency. India's currency is the Indian Rupee. We all see and interact with rupees on a daily basis. We see various coins and notes of various denominations.A rupee contains one hundred paise. In addition, we write 1 Rupee = 100 Paise or 100 Paise = 1 Rupee. Let us first define the terms rupees and paise. We will also understand how to convert rupees to paise.Here given , RS.35.25
We know that,
1 rupee equals 100 paise.
When converting rupees to paise, multiply by 100.
For instance,
Rs 35.25 = Rs 35 + 25 paise.
= 35 x 100 paise + 25 paise
= 3500 paisa + 25 paisa
= 3525 paise.
RS.35.25 = 3525 Paise.
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Find the volumeof eachfigure, round to th nearest hundredth I'd necessary
Answers
Determine the base of right triangle by using pythagoras theorem.
[tex]\begin{gathered} b=\sqrt[]{(15.7)^2-(8.5)^2} \\ =\sqrt[]{174.24} \\ =13.2 \end{gathered}[/tex]Determine the area of base of figure.
[tex]\begin{gathered} A=\frac{1}{2}\cdot13.2\cdot8.5 \\ =56.1 \end{gathered}[/tex]Determine the volume of the figure.
[tex]\begin{gathered} V=A\cdot6.2 \\ =56.1\cdot6.2 \\ =347.82 \end{gathered}[/tex]So volume of the figure is 347.82 yards square.
Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q8
Answers
Part A (Domain and Range)
Domain
The domain is the set of all the values of x for which the function represented by the graph is defined. From the graph:
(A)The domain of the function is:
[tex]\lbrace x|-\inftyRangeThe range is the set of all the values of y for which the function represented by the graph is defined. From the graph:
(A)The range of the function is:
[tex]\lbrace y|-\inftyPart B (Intercepts)(A)The x-intercepts of the function are:
[tex]x=1.4,-1.4[/tex](A)The y-intercept of the function is:
[tex]y=-1[/tex]Part C
The horizontal asymptote is at:
[tex](A)y=-2[/tex]Part D
The vertical asymptotes are at:
[tex](A)x=-2,2[/tex]Part E
The oblique asymptote is usually slant.
From the graph, there are no obliques asymptotes.
Option B is correct here.
Find the average rate of change of f(x) = x°-2x² +3+ 3x from x=1 to x=3.Simplify your answer as much as possible.
Answers
The average rate of change for a function f(x) from x=a to x=b is:
[tex]\frac{f(b)-f(a)}{b-a}[/tex]For the given function:
[tex]f(x)=x^3-2x^2+3x[/tex]Averate rate of change from x=1 to x=3:
[tex]\begin{gathered} \frac{f(3)-f(1)}{3-1}=\frac{(3^3-2(3)^2+3(3))-(1^3-2(1)^2+3(1))}{3-1} \\ \\ =\frac{(27-2(9)+9)-(1-2+3)}{2} \\ \\ =\frac{(27-18+9)-(2)}{2} \\ \\ =\frac{18-2}{2} \\ \\ =\frac{16}{2} \\ \\ =8 \end{gathered}[/tex]Then, the averate rate of change for the given function from x=1 to x=3 is 8
Evaluate. [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) What is the value of the expression? Enter your answer as a simplified fraction in the box.
Answers
The value of given expression [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) is 1/5
In this question, we have been an expression [(1 1/5−2/5)⋅(− 3/4)3]÷(−9)
We need to evaluate given expression.
First we write an improper fraction as proper fraction.
1 1/5 = 6/5
So given expression becomes,
[(1 1/5−2/5)⋅(− 3/4)3]÷(−9)
= [(6/5 − 2/5) × (− 3/4) 3] ÷ (−9)
= [(4/5) × (-9/4)] ÷ (−9)
= (-9/5) ÷ (-9)
= 1/5
Therefore, the value of given expression [(1 1/5−2/5)⋅(− 3/4)3]÷(−9) is 1/5
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In parallelogram STUV, VT bisects US and point G. If UG = x + 6 andGS = 2x + 6, find US.
Answers
Answer:
US = 12
Explanation:
The length of GS = UG (because TV bisected the line segment US) and
GS + UG = US
From GS = UG we have
[tex]x+6=2x+6[/tex]subtracting 6 from both sides gives
[tex]x=2x[/tex]subtracting x from both sides gives
[tex]0=x[/tex]With the value of x in hand, We now find the length of the line segment US.
[tex]US=UG+GS=x+6+2x+6=3x+12[/tex]Since x =0, the above gives
[tex]\begin{gathered} US=3(0)+12 \\ US=12 \end{gathered}[/tex]Solve. ln(–x + 1) – ln(3x + 5) = ln(–6x + 1) –0.67 or 2 option 1 –1.58 or 0.14 option 2–0.14 or 1.58 option 3–2 or 0.67 option 4
Answers
SOLUTION
We want to solve
[tex]\ln \mleft(-x+1\mright)-\ln \mleft(3x+5\mright)=\ln \mleft(-6x+1\mright)[/tex]This becomes
[tex]\begin{gathered} \ln (-x+1)-\ln (3x+5)=\ln (-6x+1) \\ \ln (-x+1)-\ln (3x+5)-\ln (-6x+1)=0 \\ \text{From laws of logarithm } \\ \ln \frac{(-x+1)}{(3x+5)}\times\frac{1}{(-6x+1)} \\ \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=0 \end{gathered}[/tex]Since ln 1 = 0, we have
[tex]\begin{gathered} \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=\ln 1 \\ \text{Canceling }\ln ,\text{ we have } \\ \frac{(-x+1)}{(3x+5)(-6x+1)}=1 \\ (-x+1)=(3x+5)(-6x+1) \end{gathered}[/tex]Expanding the equation in the right hand side we have
[tex]\begin{gathered} (-x+1)=(3x+5)(-6x+1) \\ (-x+1)=-18x^2+3x-30x+5 \\ -x+1=-18x^2+3x-30x+5 \\ -18x^2+3x-30x+5=-x+1 \\ -18x^2+3x-30x+x+5-1=0 \\ -18x^2-26x+4=0 \end{gathered}[/tex]Solving the quadratic equation we have
[tex]-18x^2-26x+4=0[/tex]We have
[tex]x=-1.58\text{ or }x=0.14[/tex]Hence, the answer is option 2
A survey was conducted to determine the percentage ofcollege freshmen that planned to take a math course while in college. The results were given as 75% with a margin oferror of +/- 4%. What does the margin of error of +/- 4%mean?Select one:•4% of the students surveyed refused to participate in the poll.•4% of the students surveyed will most likely change theirminds.• Your guess can be up to 4% wrong and your confidenceinterval will still be correct•4% of the population was not included in the survey.
Answers
Recall that the a margin of error ir a way to do calculations under uncertainty. What the margin of error does is guarantee that the given calculation, under uncertainty, will still be valid within that range.
In our example, we are given that the calculation is 75% with a margin of error of 4%. That is, that the process of calculation that the real value would be with a high confidence between 71% and 79%. So, a value of 77% would be still correct, as it is between the admissible ranges.
So, the anwer would be option C.
why does 90×5 and 50×9 equal the same product
Answers
There is a math rule that says the order in which we multiply the factors does not change the product, it's called commutative property.
Select the expressions that are equivalent to - 7(f - 4).
Answers
you can multiply each term of the parentheses by -7
[tex]\begin{gathered} -7(f-4) \\ (-7\times f)+(-7\times-4) \\ -7f+28 \end{gathered}[/tex]PLS HELP!!! I GIVE BRAINLESS!!!! NOT FOR TEST!!!
Answers
Answer:D
Step-by-step explanation:
D (-1,-2)
Question 1-4
Rectangle ABCD is dilated into rectangle AB'C'D', as shown.
B'
B
A
3
6
C
2
D
C'
D'
What is the scale factor of dilation? Enter the answer as a whole number or a simplified fraction in the box. Use "/" for the fraction bar.
Answers
The scale factor of the dilation of Rectangle ABCD which generated rectangle AB'C'D is of:
2
What is a dilation?A dilation is when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
If the coordinates are not given, as is the case in this problem, we can observe the scale factor by the ratio of the side lengths of the dilated figure and of the original figure.
In the context of this problem, these lengths are observed as follows:
The original rectangle ABCD has side lengths of 2 and 3.The dilated rectangle AB'C'D' has side lengths of 4 and 6.Hence the scale factor of the dilation is calculated as follows:
Scale factor = 4/2 = 6/3 = 2.
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Find the volume of the sphere. Either enter an exact answer in terms of ar or use 3.14 for pi and round your final answer to the nearest hundredth.
Answers
We have a sphere of radius 4
r = 4
We know that the equation for the volume is:
[tex]V=\frac{4}{3}\pi r^3[/tex]We know that:
r = 4
and
π = 3.14
Then, we replace in the equation:
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \downarrow \\ V=\frac{4}{3}\cdot3.14\cdot4^3 \end{gathered}[/tex]Since
4³ = 64
then
[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot4^3 \\ =\frac{4}{3}\cdot3.14\cdot64 \\ =267.9467 \\ =\frac{4}{3}\cdot\pi\cdot64=\frac{256}{3}\pi \end{gathered}[/tex]We want to round our answer to the nearest hundredth (two numbers after the decimal point).
For this case we have two options:
267.94 or 267.95
Since
267.9500 is nearer to 267.9467
than
267.9400
then the answer is 267.95
Answer: the volume of the sphere is 267.95 units³ or (256/3)π units³
help! its due tomorrow
Answers
For Question 1,
(a) Teammates eye-level depths in order from lowest to highest:
-3.5 ft < -3 ft < 0 ft < 1.5 ft
(b) Comparison between Teammate B and teammate D depths:
-3.5 ft < -3 ft
so, eye level depth of Teammate B < Teammate D.
For Question 3,
The options given to the designer are:
1 3/4 and 1 5/12
On simplifying these fractions,
1 3/4 = 7/4
1 5/12 = 17/12
On taking the LCM of the denominator of 4 and 12, we get LCM as 12,
So, 7/4 = 21/12
Now, on comparing the two distances,
21/12 > 17/12
(a) So, the distance of 17/12 is closest to the slide.
(b) On comparing the two distances,
we get, 21/12 > 17/12
(c) 17/12 will lie in between 1 and 1 1/2 on the number line whereas 21/12 will lie in between 1 1/2 and 2 on the number line.
What is Number Line?A number line, used to represent the real numbers visually in early mathematics, is a drawing of a graduated straight line. It is presumptively true that each real number and each point on a number line relate to one another. A line with carefully marked equally spaced-out points on it is frequently used to represent integers. Especially when negative numbers are involved, it is frequently used as a teaching tool for basic addition and subtraction. The set R of all real numbers, considered as a geometric space, namely the Euclidean space of dimension one, is the formal definition of the number line, often known as the real line or real number line in advanced mathematics.To learn more about the Number line, refer to:
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How many 1/4 pound pork chops can be cut from a 9 1/2 pound boneless pork loin.
For Culinary
Answers
A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=−16t2+v0t. Find the time(s) that the projectile will (a) reach a height of 400 ft and (b) return to the ground when v0 is 128 feet per second.
Answers
At time t = 4 + 3i sec and t = 4 - 3i sec that the projectile will reach a height of 400 ft.
A projectile is launched from ground level with an initial velocity of v₀ feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s = −16t² + v₀t.
To determine the time that the projectile will reach a height of 400 ft
⇒ s = −16t² + v₀t
Here v₀ = 128 ft/s and s = 400 ft
Substitute the value of v₀ = 128 and s = 400 in the above equation,
400 = -16t² + 128 × t
16t² - 128t + 400 = 0
Which is simplified as :
t² - 8t + 25 =0
Which gives t = 4 + 3i sec and t = 4 - 3i sec
Therefore, time t = 4 + 3i sec and t = 4 - 3i sec that the projectile will reach a height of 400 ft.
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A line passes through the point (-9,1) and has a slope of -4/3.
Write an equation in slope-intercept form for this line.
Answers
The equation of line is (y- 2)= 4/3(x- (-9)) or 3y = 4x + 42.
What is equation of line?The slope of the line and a point on the line may be used to create the equation of a line. To better comprehend how the equation for a line is formed, The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.
and, the point slope form of line for any point can be written as
(y- [tex]y_1[/tex] )= m(x- [tex]x_1[/tex])
Given:
A line passes through the point (-9,2) and has a slope of 4/3.
We know by point- slope form
(y- [tex]y_1[/tex] )= m(x- [tex]x_1[/tex])
Here the points are (-9, 2) and m=4/3
So,
(y- 2)= 4/3(x- (-9))
3y -6 = 4 (x+ 9)
3y - 6 = 4x+ 36
3y = 4x + 42
Hence, the equation of line is 3y = 4x + 42.
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The business checking account for a pottery store had a balance of $7349.44 before checks for $1349.67 and $344. 12 were written the store manager then made a deposit of $955.30. Findthe current checkbook balance.
Answers
Solution
For this case we can solve the problem with the following operation:
7349.44 -1348.67 -344.12 + 955.30 = 6611.95$
3.724x10^-12 convert into numerical form
Answers
A numerical expression is a mathematical statement that only consists of numbers and one or more operation symbols.
3.724x10^-12 = 3724/1000000000000000.
What is a numerical form?A numerical expression is a mathematical statement that only consists of numbers and one or more operation symbols. Thus, if someone gives you an expression, such as x + 2 - 3 + 8 = 11, and claims it is a numerical expression, you must deny it.Standard form refers to any number that can be written as a decimal number between 1.0 and 10.0 multiplied by a power of ten.A fraction is a numerical representation of a portion of something larger.A standard form is a method of writing a given mathematical concept, such as an equation, number, or expression, in a way that adheres to certain rules.3.724x10^-12 = 3.724/ 10^12
= 3.724/ 1000000000000
=3724/1000000000000000 (numerical form)
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Put the number or question when You answer
Answers
8) 17/20
9) 25/4 or 1 1/24 in mixed form
10) 27/28
11) 5/6
12) 17/48
Hello would u pls help me find the correct answer
Answers
As we can see in the graphic when we are going more to the left the negative number increase
the point that is closer to the -0.1 is the point C that is located in -0.095.
The correct answer is point C.
the wholesale cost of shoes is 22.60$ the markup is 45% what is the selling price
Answers
Answer:
$32.77
Step-by-step explanation:
Add 45% of the wholesale cost to the entire wholesale cost to get the selling cost:
$22.60 + (45%)($22.60) = $32.77
The selling cost is $32.77.
If you borrow $500 for 4 years atan annual interest rate of 6%, howmuch will you pay altogether?
Answers
Problem
If you borrow $500 for 4 years at an annual interest rate of 6%, how much will you pay altogether?
Solution
For this case we can use the following:
if log2 5=x and log2 3=y, determine an expression in terms of x ,y, and integers. the first is log 2 20
Answers
Answer:
[tex]\log _220\text{ = 2 + x}[/tex]Logarithm base 2 of a number, is the number you have to use as a power of two to get that number, for example, logatithm base 2 of 4 is 2, because 2 to the power of 2 is 4, another example, logarithm base 2 of 8 is 3, because 2 to the power or 3 is 8
[tex]\log _2(4)=2because2^{2\text{ }}=4[/tex][tex]\log _2(8)=3because2^{3\text{ }}=\text{ 8}[/tex]In the United States, 1 nautical mile
is officially 6076.10 feet. How much
longer is a nautical mile than a statute mile?
Answers
Answer:
796.1 feet
Step-by-step explanation:
The nautical mile is 6076.10 feet and the statute mile is 5280 feet.
Subtracting that yields 796.1 feet.
Patty went to the shopping mall at 10:30 A.M. She shopped for 20 minutes. She spent 35 minutes eating lunch. Then she met a friend at a movie
Answers
Patty started shopping at 10:30 AM. It was for 20 minutes, then it lasted until 10:50. (30 min + 20 min = 50 min).
Then, we can say she starts lunch 10 minutes before 11:00 AM.
She spent 35 minutes eating lunch. Then, she ends at 11:25 AM. Ten minutes before 11:00 AM and 25 minutes after 11:00 AM, giving the 35 minutes.
After lunch she mets a friend, then it was about 11:25 AM.
HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answers
Answer:
(-3)³, (-2)⁴, (-2)³, 3⁰, -3², -2⁴
positive exponents.2) (22). 2)
Answers
To find the result we are going to use the following rule:
[tex](a^m)^n=a^{mn}[/tex]and
[tex]a^m\cdot a^n=a^{m+n}[/tex]Then:
[tex]\begin{gathered} ((2^2)^4\cdot2^3)^4=(2^8\cdot2^3)^4 \\ =(2^{11})^4 \\ =2^{44} \end{gathered}[/tex]Therefore the result is:
[tex]2^{44}[/tex]Use the data given to complete the table for your first bulb. DATA TABLE A Time (hours) Energy (kWh) X у Point (time, energy) (x, y) 3 10
Answers
Jourden, this is the solution:
a 100-watt light bulb operating for ten hours would use one kilowatt-hour.
Therefore, in three hours:
0.3 KwH
In ten hours:
1 kwH
Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37,000 worth of items this month, how much didshe make?O A $629O B. $5,180O C. $6,290O D. $14,800
Answers
Answer;
[tex]C;\text{ \$6,290}[/tex]Explanation;
Here, we want to get the amount of commission made by Sharon
Mathematically, we have that she makes 17% of what she sells as commission
We have this as;
[tex]\frac{17}{100}\times37,000\text{ = \$6,290}[/tex]