So think of it like this she starts off $32 negative and subtract 3 from each box of cards she makes . So each box of cards she will make $8 that being said
32/8 =4 (it will take 4 box of cards to pay off her booth expense).
Sales would be 11x 4 =44
Expenditures would be 3x4 =32 (the amount used to make cards ) +32(the amount paid for the booth)
Which in total would be $64
Sidney needs to sell [tex]\( \boxed{4} \)[/tex] boxes of cards to cover her expenditures, totaling [tex]\( \$44 \)[/tex] in sales and expenditures.
To determine when Sidney's sales will cover her expenditures, we set up the following equations:
1. Cost equation:
Total cost C consists of booth cost [tex]\( \$32 \)[/tex] plus material cost [tex]\( \$3 \)[/tex] per box:
[tex]\[ C = 32 + 3n \][/tex]
where n is the number of boxes of cards sold.
2. Revenue equation:
Total revenue [tex]\( R \)[/tex] is obtained from selling each box for [tex]\( \$11 \)[/tex] :
[tex]\[ R = 11n \][/tex]
3. Break-even point:
To find when sales cover expenditures, set [tex]\( R = C \)[/tex]:
[tex]\[ 11n = 32 + 3n \][/tex]
Simplify and solve for n :
[tex]\[ 11n - 3n = 32 \][/tex]
[tex]\[ 8n = 32 \][/tex]
[tex]\[ n = \frac{32}{8} = 4 \][/tex]
4. Calculation:
- Number of cards: Sidney needs to sell 4 boxes of cards.
- Sales: Total revenue [tex]\( R \)[/tex] at break-even point:
[tex]\[ R = 11 \cdot 4 = \$44 \][/tex]
- Expenditures: Total cost C at break-even point:
[tex]\[ C = 32 + 3 \cdot 4 = \$44 \][/tex]
Sidney will cover her expenditures after selling 4 boxes of cards, where her total revenue from sales equals her total costs, including booth fees and material costs. This ensures she breaks even in terms of financial outlay versus income from sales.
Sidney needs to sell 4 boxes of cards to cover her expenditures, resulting in total sales of [tex]\( \$44 \)[/tex] and total expenditures of [tex]\( \$44 \)[/tex].
The resale value of a go-cart decreases by $20 for every hour it is used. After how many hours does the value decrease by $400?
A number cube 1 through 6. Ian rows 600 * about how many times should he expect to roll an even number
11
6.186 × 10 in standard form
11 is the exponent btw
Answer:
618 600 000 000
Step-by-step explanation:
To convert the scientific notation of a large number to a decimal number, move the decimal point as many places to the right as indicated by the exponent of 10.
Use zeros for placeholders as needed.
6.186 × 10¹¹ Move the decimal point eleven places to the right
6.186 × 10¹¹ = 618 600 000 000.
We had to insert eight zeros as placeholders.
6.186 × 10¹¹ = 618 600 000 000
What is an equation for the line that passes through (-2,-3) with a slope of -1/2?
A) 4y+2x=7
B) 4y-2x=-12
C) 4y+2x=-16
D) 5y-4x=12
Answer:
C
Step-by-step explanation:
To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).
[tex]y -y_1 = m(x-x_1)\\y --3=-\frac{1}{2}(x--2)\\y+3 = -\frac{1}{2}(x+2)[/tex]
Convert to standard form by applying the distributive property and rearranging the terms.
[tex]y + 3 = -\frac{1}{2}(x+2)\\y+3 = -\frac{1}{2}x -1\\2y + 6 = -x -2\\x+2y + 6 = -2\\x + 2y = -8[/tex]
The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16
Substitution:
5x - y= -5
3x - 6y = 24
do u have to use the exact same number for all the substitutions?
The question involves solving a system of two linear equations, 5x - y = -5 and 3x - 6y = 24. By rearranging the first equation to find y in terms of x, and then substituting this into the second equation, we find x = -8/9. Substituting this value into y = 5x + 5, we find y = 5/9.
Explanation:The question involves a system of linear equations. You solve it using the substitution method. Here are the steps:
Rearrange the first equation, 5x - y = -5, to find y in terms of x: y = 5x + 5.Substitute y = 5x + 5 from the first equation into the second equation, 3x - 6y = 24, and solve for x. This gives: 3x - 6(5x + 5) = 24, which simplifies to -27x = 24, and further simplifies to x = -24/27 or x = -8/9.Substitute x = -8/9 into y = 5x + 5 to find the value of y. This gives y = 5*(-8/9) + 5 or y = -40/9 + 45/9, which simplifies to y = 5/9.So, the solution to the system of equations is x = -8/9 and y = 5/9.
Learn more about Solving Linear Systems here:https://brainly.com/question/17053411
#SPJ3
If 3 is added to the absolute value of the product of a number and −9, the result is 4.
3+|n•-9|=4
|n•-9|=1
n•-9=1 Or n•-9= -1
n= -1/9 n=1/9
n=±1/9
Answer:
The value of x is ± (1/9).
Step-by-step explanation:
Consider the provided statement.
If 3 is added to the absolute value of the product of a number and −9,
Now convert this into mathematical form.
Let the number is x then the product of number and -9 is -9x.
For absolute value we use the mode. Thus the required expression is:
3 + |-9x|
Now it is given that the result is equal to 4. Thus,
3 + |-9x| = 4
Solve the above equation as shown:
|-9x| = 4-3
|-9x| = 1
Now remove the mode by introducing ± sign as shown:
-9x = ± 1
-9x = 1 or -9x = -1
x = -1/9 or x = 1/9
Hence, the value of x is ± (1/9).
Select ALL the correct answers.
Select all relations that represent functions.
Answer:
option A
option C
option D
Step-by-step explanation:
A function is a special relationship where each input has a unique output.
There could not be different y values for same value of x but it may have two x-values assigned to the same y-value.
So by following this definition:In option B
for x = 6
have two different outputs y = -6 and y = -1 REJECTED
In option E
for x = 0
have two different outputs y = 0.5 and y = 2 REJECTED
Sally's soccer team won 68% of the games they played. if they won 17 games, how many did they play?
Answer:
25
Step-by-step explanation:
Divide 17 by 68%.
Hope that helps!
Step-by-step explanation:
Let's set up a proportion.
17/x=68/100.
Now if we solve for x it would equal to 25. They played 25 games.
Brainliest? :)
Name the following segment or point.
Given L,M,N are midpoints
Median to BC
1. Segment AM
2. Segment BL
3. Segment AS
Answer:
segment AM
Step-by-step explanation:
A median is a line segment which joins the vertex of a triangle to the midpoint of the opposite side. The median to BC is the vertex opposite it A joined to its midpoint M. The segment AM is the median.
Answer:
1. Segment AM.
Step-by-step explanation:
We have been given a triangle ABC. Points L, M and N re midpoints of the triangle. We are asked to find the median of segment BC.
We know that median of a triangle is line segment connecting the midpoint of a segment to the opposite vertex.
We can see that angle A is the opposite angle to side BC and M is the midpoint of side BC, therefore, segment AM is the median to side BC and 1st option is the correct choice.
find the missing digit to make 18, 59_ divisible by 9
Hey im happy to help!
your answer here will be 4.
Hope this helps, have a great rest of your day!
Answer:
4
Step-by-step explanation:
Suppose Monica walks 1 km every 15 minutes how many meters further can she walk in one hour at this new Rate explain how you found your answer
Answer:
4 is your answer
Step-by-step explanation:
Well every 15 minutes he walks 1 step. So divide an hour which is 60minutes by 15 minutes. Then the answer to that you multiply by 1. So the equation would be (60/15)x1= and you will find the answer.
mark brainliest please :)
Answer:
4000 meters
Step-by-step explanation:
There are 60 minutes in an hour. Divide 60 by 14 and get 4. So she walks 4 km in an hour, but we want to know the answer in meters so we multiply 4 by 1000 to get 4000 meters.
Amanda rides her bike east for 10 km. Angela rides her bike 20 degrees south of east 12 km. How far apart are they? Round to the nearest tenth
Answer:
[tex]4.3\ km[/tex]
Step-by-step explanation:
we know that
Applying the law of cosines
[tex]c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)[/tex]
we have
c-----> is the distance between Amanda and Angela
[tex]a=10\ km[/tex]
[tex]b=12\ km[/tex]
[tex]C=20\°[/tex]
substitute the values
[tex]c^{2}=10^{2}+12^{2}-2(10)(12)cos(20\°)[/tex]
[tex]c^{2}=18.4738[/tex]
[tex]c=4.3\ km[/tex]
f(x) = |x| and g(x) = |x| + 3
The translation applied to get the graph of g(x) from the graph of f(x) = |x| and g(x) = |x| + 3
The translation applied to get the graph of g(x) from the graph of f(x) is
Answer:
The graph would move up 3.
Step-by-step explanation:
When a number is added after the absolute value brackets, the graph shifts up and down. Since it is a positive number, the shift is upwards.
Answer:
graph is shifted up by 3 units.
Step-by-step explanation:
Given : The translation applied to get the graph of g(x) from the graph of f(x) = |x| and g(x) = |x| + 3
To find : Graph of g(x).
Solution : We have given that
Parent function f(x) ans translated function g(x) = |x| + 3.
By the transformation rule : f(x) →→ f(x) + k it mean graph of f(x) shifted by k units up.
Then, graph is shifted up by 3 units.
Therefore, graph is shifted up by 3 units.
Suppose $10,000 is desposited in a bank at 3.5% annual interest. What is the interest earned after one year?
Answer:
$350
Step-by-step explanation:
The interest earned would be $353
Step-by-step explanation:See the image attached
What is the radius of 11mm
Answer:
The radius is 5.5 mm
Step-by-step explanation:
The diameter is 11 mm
The radius is 1/2 of the diameter
1/2 d =r
1/2(11) =r
5.5 =r
The radius is 5.5 mm
I need help please is this true or false ???
Help Plz
You park in a garage 3 floors
below ground level. Then you get in the
elevator and go up 12 floors. Write an
addition expression to represent this
situation. Then find the sum.
Answer:
it's easy if you're 3 below ground level then it would be -3 and now you just add 12
Step-by-step explanation:
-3+12=9
Answer: The was 6.
Step-by-step explanation: I got the question wrong.
1/3 to 2/3 percent of change
[tex]\bf \cfrac{2}{3}\implies \cfrac{1+1}{3}\implies \cfrac{1}{3}+\stackrel{\textit{100\%}}{\cfrac{1}{3}}\impliedby \textit{change of 100\%}[/tex]
How do you find rate of change using a graph?
U find the rate of change by using the equation:
Y^2-y^1
————-
X^2-x^1
You can use the formula to find the rate of change:
Rate of change = (y₂ - y₁) / (x₂ - x₁)
To find the rate of change using a graph, you need to determine the slope of the graphed line or curve at a specific point. The slope represents the rate at which the dependent variable changes with respect to the independent variable.
Here's a step-by-step process to find the rate of change using a graph:
a) Identify two points on the graph that you want to calculate the rate of change between.
These points should have known coordinates (x₁, y₁) and (x₂, y₂).
b) Calculate the difference in the dependent variable (y) between the two points: Δy = y₂ - y₁.
c) Calculate the difference in the independent variable (x) between the two points: Δx = x₂ - x₁.
d) Divide the difference in the dependent variable by the difference in the independent variable: Δy/Δx.
e) The result of this calculation represents the average rate of change between the two points. If you want to find the instantaneous rate of change at a specific point, you can make the interval between the two points infinitesimally small by moving the points closer together. In this case, the rate of change will be represented by the slope of the tangent line to the graph at that point.
By following these steps, you can determine the rate of change at a particular point on a graph.
Learn more about rate of change click;
https://brainly.com/question/29181688
#SPJ2
i need help with this
Answer:
All you have to do is look up the formulas for each one.
Step-by-step explanation:
Plug in the numbers to the correct formulas and you should get your answer.
See the attached figure for your solution
Help Please. This would be great the faster we can get it done.
Answer:
option D
0 < t < 3
Step-by-step explanation:
Given in the question the equation
d = 144 - 16t²
where d is the distance
t is the time
Since, it is a descent, d should be decreasing until it reaches zero
by plugging d = 0 in the equation
0 = 144 - 16t²
-144 = -16t²
144/16 = t²
t² = 9
take square root on both sides
√t² = √9
t = ±3
since time can't be negative so we will reject -3
t = 3
This means that at 3 seconds the roller coaster was at ground but before that it was in the air
so when t < 3 Greg's car was moving in the air.
tell whether you would use multiplication or division to convert milliliters to liters. Explain your answer.
Division! Since litres is a larger unit then millimeters, the value will need to decrease to make up for the change in units. So division is needed.
To convert milliliters to liters, use division because you're converting from a smaller to a larger unit, with 1000 milliliters equaling one liter.
To convert milliliters to liters, you would use division. This is because the process involves going from a smaller unit of measurement to a larger one, and there are 1000 milliliters in one liter. Therefore, you move the decimal point three places to the left. For example, converting 60,000 milliliters to liters, you would calculate 60,000 milliliters / 1000, resulting in 60 liters.
In solving multi-step division problems with compound units or applying compound unit multiplication in word problems, it is essential to convert all values into the same units using multiplication and division. When dealing with compound unit conversions such as milliliters to liters, division helps find the total amount or cost for a given volume in liters after initially representing values in milliliters.
Given the polynomial function below,find f(-5) f(x)=x^2-2x-7
Answer:
The answer is 28
Step-by-step explanation:
To find the answer, take the function and input the -5 for all x's.
f(x) = x^2 - 2x - 7
f(-5) = (-5)^2 - 2(-5) - 7
f(-5) = 25 + 10 - 7
f(-5) = 28
The value of f(-5) is 28 after plugging x = -5 in the polynomial f(x) = x² - 2x - 7
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
f(x) = x² - 2x - 7
Plug x = -5
f(-5) = (-5)² - 2(-5) - 7
f(-5) = 25 + 10 - 7
f(-5) = 28
Thus, the value of f(-5) is 28 after plugging x = -5 in the polynomial f(x) = x² - 2x - 7
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ2
PLEASE HELP!!!!! I HAVE A DEADLINE !!!!
Bob built a rocket that has a radius of 2 feet. Find the volume of the whole rocket he built. Round your answer to the nearest tenth. Show all of your work!!!
Answer:
V_rocket = 44[tex]\pi[/tex] ft^3 = 138.2 ft^3
Step-by-step explanation:
Volume of cone
V_cone = (1/3)*([tex]\pi[/tex]*(radius^2))*h
radius = 2ft
h = height of the cone = 3 ft
pi = 3.1416
V_cone = 4[tex]\pi[/tex] ft^3
Volume cylinder
V_cylin = ([tex]\pi[/tex]*(radius^2))*h_cyl
h_cyl = height of the cylinder = 10 ft
V_cylin = 40[tex]\pi[/tex] ft^3
Volume rocket
V_rocket = V_cone + V_cylin = 4[tex]\pi[/tex] ft^3 + 40[tex]\pi[/tex] ft^3
V_rocket = 44[tex]\pi[/tex] ft^3 = 138.2 ft^3
What is a perfect square
Answer:
A perfect square is a shape with for 90 degree angles
Step-by-step explanation:
The square of an integer is called a perfect square. For example, 49 is a perfect square because 7² = 49. When a radicand is not a perfect square, you can estimate the square root of the radicand.
Which graph below represents a non functional relationship?
graph c, because it is a curved line. The line has to be straight in order to be a function.
A function is a relationship between inputs where each input is related to exactly one output.
The graph in option D shows one-to-many which is not a function.
The graph in option D represents a non-functional relationship.
Option D is the correct answer
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example: f(x) = 2x is a function.
x = input
2x = output
We have,
A function can have two inputs and have the same output.
This property is called many-to-one function
For example f(x) = (-x)²,
x = 1, -1
f(1) = 1
f(-1) = 1
But a function can not have different outputs for the same inputs.
This property is called one-to-many function.
The given graph in the options are:
A - this graph represents a functional relationship.
B - this graph represents a functional relationship as many-to-one function.
C - this graph represents a functional relationship.
D - this graph represents a non-functional relationship because it is a one-to-many function
Thus,
The graph in option D shows one-to-many which is not a function.
The graph in option D represents a non-functional relationship.
Option D is the correct answer
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ5
What is the equation of the line that has a slope of 0 and passes through the point (6,-8)
[tex]\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = 0 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=0(x-6)\implies y+8=0\implies y=-8[/tex]
Answer: Hello there!
we want to find the equation that passes through the point (6, -8) (where this notation stands for (x,y)) with a slope of 0.
a linear equation has the form y = ax+ b
where a is the slope and b is the intercept.
if a = 0, our equation has the form y = b (has no dependence of x)
so we have a constant equation that passes through the point (6, -8) , this means x = 6 and y = -8, but we know that y is constant:
then y = -8 = b
so our equation is y(x) = -8
Some sand art contains sand and water sealed in a glass case similar to the one shown. when the art is turned upside down. the sand and water fall to create a new picture. the glass case has a depth of 1 centimeter and a volume of 768 cubic centimeters.) A. write an equation that represents the volume of the glass case.) b. Find the dimensions of the glass by completing the square. ) please help me
x²-8x=768
x²-8x-768=0
(x-32)(x+24)=0
x=32 x=-24
you use 32 because it can be negative
plug in for x
(32)(32-8)(1)=768
32×24=768
this isn't the completing the square method though this is zero product law
a. Equation that represents the volume of the rectangular prism glass is: (x)(x - 8)(1) = 768
b. The dimensions are, length = 32 cm, width = 24 cm.
What is the Volume of a Rectangular prism?Volume = (l)(w)(h)
Given the following dimensions of the glass case:
l = x cmw = (x - 8) cmh = 1 cmVolume = 768 cm³a. Plug in the values into the volume formula to find the equation
(x)(x - 8)(1) = 768
x² - 8x - 768 = 0
b. Factorize x² - 8x - 768 = 0 to find the x, and find the dimensions of the rectangular prism glass
x² - 8x - 768 = 0
(x + 24)(x - 32) = 0
x= −24 or x = 32
The length cannot be a negative number, so:
Length of the glass = x = 32 cm
Width = x - 8 = 32 - 8 = 24 cm
Learn more about volume of rectangular prism on:
https://brainly.com/question/12917973
y incpert
y=x²+4x-12
To find the intercept we need to substitute 0 for y and solve for x.
For our x-intercept you should get: (6,0), (-2,0)
For our y-intercept you should get (0,-12).
Which of these are less than 2.03. Choose all that apply.
Answer: The answer is A.
Step-by-step explanation: The two big things are a one, so it is 2.00, and then the last box is .02. Add .02 to 2.00, and get 2.02. That is less. 2 12/100 is basically 2.12, and the last one is either 23, or 230. But it is over or equal and not under.