Sarah charges $6.00 for one bracelet.
We know that a collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics.
Let Sarah charges $x and $y for one bracelet and one ring respectively.
Since her first customer spends $48 on 3 bracelets and 10 rings, we can write it as
3x + 10y = 48 ...(1)
Since her second customer spends $54 on 7 bracelets and 4 rings, we can write it as
7x + 4y = 54 ...(2)
Now, we have to solve this system of linear equations.
Multiplying (1) by 2, 6x + 20y = 96 ...(3)
Multiplying (2) by 5, 35x + 20y = 270 ...(4)
Subtracting (3) from (4), 35x + 20y - 6x - 20y = 270 - 96
i.e. 29x = 174
i.e. x = 174/29 = 6
Therefore we can conclude that Sarah charges $6 for one bracelet. Option B is correct.
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Solve for x.
Enter your answer in the box.
x = ...°
(Please refer to attached image.)
Answer:
132
Step-by-step explanation:
6 angles plug in for n
(n-2)*180
4*180
720 degrees in all
subtract all other angles
does anyone know how to simplify this problem
Answer:
[tex]x^{-\frac{2}{7} }[/tex]
Step-by-step explanation:
→ Add the powers together
[tex]x^{\frac{3}{7} {-\frac{5}{7} }[/tex]
→ Simplify
[tex]x^{-\frac{2}{7} }[/tex]
What is the solution to x^3+ 4x^2>X+4?
04
O4
O4 < x < -1 or x> 1
Ox<-4 or-1
Thank yoooou!
The solution of the inequality x³ + 4x² > x + 4 will be -4 < x < -1 or x > 1. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
x³ + 4x² > x + 4
Then the inequality can be written as
x³ + 4x² – x – 4 > 0
Then the factor will be
x²(x + 4) – 1(x + 4) > 0
(x² – 1)(x + 4) > 0
(x – 1)(x + 1)(x + 4) > 0
Then the solution will be
x – 1 > 0
x > 1
x + 1 < 0
x < -1
x + 4 > 0
x > -4
Then the correct option is C.
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On a map 1/4 inch between represnts an actual distance of 2 miles between the location what is the actual distance in miles between two cities that are 3 3/4 inch apart on the map
Answer:
30 miles is the actual distance.
Step-by-step explanation:
3 3/4 = 15/4
15*2=30
evaluate this equation
The correct answer is option B which is Sn = -111974.
What is geometric expansion?When there is a constant between the two successive numbers in the series then it is called a geometric series.
Here we have the following data:-
[tex]\sum_{n=1}^7-2.6^{n-1}[/tex]
[tex]a_n = a_1r^{n-1}\ \ \ \ \ S_n = a_1(\dfrac{1-r^n}{1-r})[/tex]
Here we need to calculate the first term second term and common ratio to calculate the sum of the series.
a₁ = -2.(6¹⁻¹) = -2
a₂ = -2.( 6²⁻¹) = -2 (6) =-12
Common ratio:-
[tex]a_n = a_1r^{n-1}[/tex]
[tex]-12 = -2r^{2-1}[/tex]
r = 6
Put all the values in the sum formula:-
[tex]S_n = -2(\dfrac{1-6^7}{1-6})[/tex]
[tex]S_n = -2(\dfrac{279935}{5})=-2\times 55987[/tex]
[tex]S_n[/tex] = -111974
Therefore the correct answer is option B which is Sn = -111974.
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work out 6z - 4z .what is the answer?
Answer:
4 is the answer
Step-by-step explanation:
you can - or + the equation only then when the letter is same z and z both are same so you can - them and get the answer.
Mrs. Cooper hosts an annual art contest for kids. She has records of the number of entries for the last 9 years. She received 30 entries in the first year. Over the next 3 years, the number of entries increased by 10 kids per year. In the next 2 years after that, there were 60 entries each year, and in the last 3 years, the number of entries increased by 15 kids per year. Which graph models the piecewise function for the given situation, where x represents time after the first year and y represents the number of entries in that year?
To graph this situation we must take into account the data and the organization of each of them on the X axis and Y axis.
How to graph this situation?To graph this situation we must take into account the data we have:
YearsTicketsBased on these data, we assign the horizontal axis to count years and the vertical axis to count tickets per year. We must continue the pattern of increased attendance over the years.
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the tabel shows the time merrida spent driving and the number of miles she drove she drove the same number of miles each other
Answer:
35 miles/hour
Step-by-step explanation:
See attached image.
Which statements accurately describe the function f(x) = 3(16) superscript three-fourths x? select three options.
Range for the given Exponential function [tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] is f(x) > 0.
the correction option is a). f(x) > 0
The function given in, the question is exponential function is given by
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] Which is an exponential function. The domain of the give function is (-∞, ∞).
The function which is in format f(x) = [tex]a^{x}[/tex] where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
the Question seems to be incomplete. And options could be
a) f(x) > 0 c) f(x) ≤ 0
b) f(x) < 0 d) f(x) ≥ 0
Simplification of the given equation
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(2^4)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(8)^{x}[/tex]
clearly, the range of the exponential function is f(x) > 0.
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(a^3b^4/a^2b)^6=a^xb^y
Answer:x = 6 , y = 18
Step-by-step explanation:
(-4,3)
-5-4-3
24
5
432
-14
-2
-3-
A
(0,1)
1 2
(4,-1)
Which linear function is represented by the graph?
Of(x) = -2x + 1
Of(x)=x+1
O f(x) = x+1
Of(x)=2x+1
Answer:
f(x) = -2x+1
Step-by-step explanation:
See attached image
The equation of line will be;
⇒ f (x) = - 1/2x + x
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (- 4, 3) and (4, -1).
Now,
Since, The equation of line passes through the points (- 4, 3) and (4, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - (3)) / (4 + 4)
m = - 4 / 8
m = - 1/2
Thus, The equation of line with slope - 1/2 is,
⇒ y - (3) = - 1/2 (x + 4)
⇒ y - 3 = - 1/2x - 2
⇒ y = - 1/2x + x
Therefore, The equation of line will be;
⇒ f (x) = - 1/2x + x
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How do i graph those
The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Plotting the graph using geogebra online graphing tool.
The graph of (2x - 1) / (x + 2) have intercepts at (0.5, 0) and (0, -0.5), The graph of (1 - 4x) / (1 - x) have intercepts at (0, 1) and (0.25, 0) and The graph of (-3x - 4) / (x + 2) have intercepts at (-1.33, 0) and (0, -2).
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An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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If x is 300 percent of 25 and y is 25 percent more than
40, the x is what percent of y?
al 50%
c) 66.5%
b) 75%
d) 150%
Anyone here to help me!!!
Answer:
d) 150%
Step-by-step explanation:
[tex]x=25*300\%=25*3=75\\[/tex]
[tex]y=25\%*40+40=50[/tex]
[tex]x/y*100\%=75\div50*100\%=150\%[/tex]
Answer:d
150%
Step-by-step explanation:
consider an investment of $6000 that earns 4.5% interest.
How long would it take for the investment
to reach $15,000 if the interest is
compounded monthly? Round your
answer to the nearest tenth.
Answer:
20.4 years (nearest tenth)
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
A = $15,000P = $6,000r = 4.5% = 0.045n = 12 (monthly)Substitute the given values into the formula and solve for t:
[tex]\implies \sf 15000=6000\left(1+\frac{0.045}{12}\right)^{12t}[/tex]
[tex]\implies \sf \dfrac{15000}{6000}=\left(1.00375\right)^{12t}[/tex]
[tex]\implies \sf 2.5=\left(1.00375\right)^{12t}[/tex]
[tex]\implies \sf \ln (2.5)=\ln \left(1.00375\right)^{12t}[/tex]
[tex]\implies \sf \ln (2.5)=12t \ln \left(1.00375\right)[/tex]
[tex]\implies \sf t=\dfrac{\ln (2.5)}{12 \ln (1.00375)}[/tex]
[tex]\implies \sf t=20.40017123[/tex]
Therefore, it would take 20.4 years (nearest tenth) for the investment to reach $15,000.
Jacob and his sister, jenny, share the job of cutting the grass in their yard. jacob cuts 2 of the yard, and jenny cuts the rest can cut 3/4 of an an entire tard of an hour
Answer:
okay
Step-by-step
no of yards they cut in an hour
Jacob = 2 yard
jenny 3/4 of a yard
no of yards it will take jenny to cut 3 yards = 4 hours
Wilma is 5 times as old as yvonne. in ten years, yvonne's age will be a third of wilma's age. how old are they now?
Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Wilma's age.Variable y: Yvonne's age.Wilma is 5 times as old as yvonne, hence:
x = 5y.
In ten years, yvonne's age will be a third of wilma's age, hence:
[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]
Since x = 5y:
[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]
[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]
3y + 30 = 5y + 10
2y = 20.
y = 10.
Then:
x = 5y = 5 x 10 = 50.
Wilma is 50 years old and Yvonne is 10 years old.
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The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?
Answer:
5 feet
The graphs intersect at x = 5.
An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support. How many villages does the organization support worldwide?
If organisation supports 125 villages financially and it is 11% of world wide then the total villages in world wide that needs help is 1136.36 villages.
Given An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support.
If 125 villages are 11% of worldwide villages who need help financially then we have to find 100% value according to organisation figure which can be calculated as under:
if 125 is 11% then 1% will be 125/11
then 100% will be 125/11*100
=12500/11
=1136.36
=1136 Approx
Hence 1136 villages are totally present worldwide which need help financially.
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What is the sum of the polynomials?
(6x+7+x²)+(2x²-3)
1. -x² +6x+4
2. 3x²+6x+4
3. 9x + 4
4. gx²+4
Answer:
6x+4+3x²Step-by-step explanation:
Given polynomials:
(6x+7+x²)+(2x²-3)
Solution:
(6x+7+x²)+(2x²-3)Removing brackets,
6x+7+x²+2x²-3Collecting like terms,
6x+7-3+x²+2x²Simplifying ,
6x+4+3x²Done!
Hence option 3 is correct.
What is quadratic equation?The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form: ax² + bx + c = 0.
The given expression is;
(6x+7+x²)+(2x²-3)
Now add the like term in the given expression,
⇒ x² + 2x² + 6x + 7 - 3
⇒ 3x² + 6x + 4
Hence,
The sum of polynomial is 3x² + 6x + 4.
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help pls i’ll do anything D:
Answer:
search it up ok that's all you can do
A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Two dot plots are shown one below the other. The title for the top dot plot is Online Customers and the title for the bottom plot is Walk In Customers. Below the line for each dot plot is written Number of Packs. There are markings from 1 to 5 on each line at intervals of one. For the top line there are 0, 0, 1, 4, 5 dots respectively for marks from 1 to 5. For the bottom line there are 3, 6, 1, 0, 0 dots respectively for marks from 1 to 5. On the right side, towards the middle of the two plots is shown a dot symbol equal to 10 customers.
Which inference can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 1 pack.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 1 pack.
Answer:
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Step-by-step explanation:
Create the dot plots (see attached diagrams)
Online customers: blue dots
Walk-in customers: red dots
To calculate the average packs both groups of customers buy, sum all data values and divide by the total number of data values.
[tex]\textsf{Average of Online customers}=\dfrac{ 1 \times 3+ 4 \times 4+ 5\times 5}{10}=4.4[/tex]
[tex]\textsf{Average of Walk-in customers}=\dfrac{ 3 \times 1+ 6\times 2+ 1\times 3}{10}=1.8[/tex]
Online: 4.4 rounds down to 4
Walk-in: 1.8 rounds up to 2
Therefore, online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Find average of both customers
Online :-
3+4(4)+5(5)/103+16+25/1044/104.44Offline
3+6(2)+3/106+12/1018/101.82option C
A TV's regular price is $349. It is on
clearance for 30% off, and a customer uses
a 15% off coupon after that. What is the
final cost of the TV before sales tax?
Answer:
rounded is $207.66
Step-by-step explanation:
you start by doing 349(0.30) which would be 104.7
349-104.7=244.3
next you do 244.3(.15)=36.645
244.3-36.645= $207.655
2. On the snow day, 8 kids from the neighbor-
hood gathered to build snowmen. The kids
used two buttons as the eyes on each snowman.
7 more kids joined to make snowmen and used
buttons for the eyes, too. How many buttons
were used to make the snowmen?
Answer: 30 buttons
Step-by-step explanation:
If there were 8 kids, and 7 more joined, then there were 15 kids making snowmen (8+7 = 15). Each child used 2 buttons for the eyes, so 30 buttons were used (15 x2 = 30). This is assuming no other buttons were used on the snowmen for anything else
What shift will occur to the graph given the following equation?
y≤ |x + 2|
Graph will shift 2 units to the left.
Graph will shift 2 units to the right.
Graph will shift 2 units down.
Graph will shift 2 units up
Answer:
Graph will shift 2 units to the left
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = x − 6?
Answer:
f(x) must be shifted 6 units down in order to produce the graph of g(x).
Which of the lines below is a line of symmetry?
O A. Red
•
B. Yellow
C. Neither
• D. Both
Both the Red and Yellow lines are lines of symmetry, Option D is correct.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Lines of symmetry in a figure are lines that divide the figure into equal parts.
The given figure is a square as we observe the four sides are equal in the given shape.
In a square, there are four lines of symmetry, each of which divides it into two identical parts.
The symmetry lines of a square are both its diagonals and the lines joining the midpoints of its opposite sides (bisectors).
In the given Figure, the Red lines cuts the shape into 2 equal halves vertically and the Yellow line cuts the shape into 2 equal halves diagonally.
Hence, both the Red and Yellow lines are lines of symmetry, Option D is correct.
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Given √b6.
What is the rational exponent form of this expression?
O b1/3
0 b3
O b6
O b3/2
The rational exponent form of the given expression is b³. The correct option is the second option b³
Evaluating an expressionFrom the question, we are to determine the rational exponent form of the given expression
The given expression is
[tex]\sqrt{b^{6} }[/tex]
From one of the laws of indices, we have that
[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]
Thus,
[tex]\sqrt{b^{6} } = b^{\frac{6}{2} }[/tex]
= [tex]b^{3}[/tex]
∴√b⁶ = b³
Hence, the rational exponent form of the given expression is b³. The correct option is the second option b³
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I will give brainiest to the first person who responds BUT only if the answer is correct
Answer:
70 cm2??
Step-by-step explanation:
The area of the rectangle: 50 cm2
The area of the triangle: About 20 cm2
50 cm2 + 20 cm2 +
Fully simplify.
15x(4)y(4)(-5x³y(5))
Step-by-step explanation:
please mark me as brainlest
