You would have to sell approximately 52 bracelets per week in order to pay your fee.
190 ÷ 3.60 = 52.7
This is your net profit after covering both the cost of the glow sticks and the booth fee. The actual profit you make will depend on how many glow sticks you manage to sell at the convention.
To determine the profit you make from selling glow sticks at the Star Wars convention, you can calculate the profit per unit and the total profit considering the costs and selling price.
Here are the key values:
Cost per glow stick: $2.02
Fixed weekly fee for the booth: $190
Selling price per glow stick: $3.60
Now, let's calculate the profit per unit:
Profit per unit = Selling price per unit - Cost per unit
Profit per unit = $3.60 - $2.02 = $1.58
This means you make a profit of $1.58 for each glow stick you sell.
To find the total profit, you need to consider how many glow sticks you sell. Let's assume you sell 'x' glow sticks. Your total profit can be calculated as:
Total Profit = Profit per unit × Number of Units Sold
Total Profit = $1.58x
Now, you need to take into account the fixed weekly booth fee of $190. So, your total profit after deducting the booth fee will be:
Total Profit - Booth Fee = $1.58x - $190
This is your net profit after covering both the cost of the glow sticks and the booth fee. The actual profit you make will depend on how many glow sticks you manage to sell at the convention.
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A card is drawn at random from a standard 52-card deck. What is the probability that it is an odd number (3,5,7,9) or a spade (or both)?
Answer:
The probability of selecting the given event = [tex]\frac{25}{52}[/tex]
Step-by-step explanation:
A card is drawn at random from a standard 52-card deck.
We have to find the probability of selecting an odd numbered card(3,5,7,9) or spade or both.For this we have to find the number of favourable cases.
Favorable cases = 13 (all the spades) + 12(4 odd numbered cards from each of the remaining 3 )
= 25
Final probability = [tex]\frac{number of favourable cases}{total number of cases}[/tex]
= [tex]\frac{25}{52}[/tex]
Hence the probability = [tex]\frac{25}{52}[/tex]
can someone help me with this im having a hard time
Answer:
-1/2
Step-by-step explanation:
Add 12 to both sides 8b=-4
Divide by 8 on both sides b=-4/8
Simplify b=-1/2
Answer:
B=-1/2
Step-by-step explanation:
8b-12=-16
fit’s you wanna try and get the variable on its own
8b-12=-16
8b=-4
b=-1/2
The solution to -2 x - 6 y equals 0
Answer:
x=-3y
Step-by-step explanation:
-2x-6y=0
x+3y=0
x=-3y
Leah is masking a picture frame. The perimeter of her picture is 24 inches and the area is35 square inches. What are the lengths of the picture sides?
The sides are 7 inches and 5 inches. To get the perimeter, it's 7 +7 +5 + 5, which equals 24, and then 7 x 5 = 35 for the area.
Rewrite the equation 2x + 3y = 6 in slope-intercept form. y = -2 x + 6 y = - x + 2 y = 2 x + 6 3 y = -2 x + 6
Answer:
y=-2/3x+2
\\\\\\\\\\\\\\\\\\\\\
3. Matt bought 12 packages of hot dogs and hamburgers for a barbecue. Let x represent the number of packages of hot dogs, which cost $2.75 each. Let y represent the number of packages of hamburgers, which cost $3.20 each. Matt spent a total of $35.25. Write and solve a system of equations that can be used to represent the amount of hot dogs and hamburger packages Matt bought. Are there any constraints on your variables? Is the solution viable or non-viable?
Answer:
Matt bought 7 packages of hot dogs and 5 packages of hamburger.
Step-by-step explanation:
We are given the following in the question
Let x represent the number of packages of hot dogs.
Cost of one packet of hot dog = $2.75
Let y represent the number of packages of hamburgers
Cost of one packet of hamburgers = $3.20
Then, we can write the following equations:
[tex]x + y = 12\\2.75x + 3.2y = 35.25[/tex]
Solving the two equations,
[tex]2.75x + 2.75y = 33\\2.75x + 3.2y = 35.25\\\Rightarrow 0.45y = 2.25\\y = 5\\x = 7[/tex]
Thus, Matt bought 7 packages of hot dogs and 5 packages of hamburger.
The solution is viable.
Constraints to the system of equation:
[tex]x,y \geq 0 \\x + y = 12\\2.75x + 3.2y = 35.25[/tex]
Karina read a total of 20 2/4 pages in her science and social studies books combined she read 12 3/4 pages in her science book how many pages did she read in her social studies book
Answer:
8 1/4
Step-by-step explanation:
20 2/4
-
12 3/4
__________
8 1/4
7 1/4
You subtract 20 and 2/4 by 12 3/4 and you get 8 1/4
wiple Choice which equation describes the relationship
20. Multiple
the table?
0 0 1 2 3 4 5 6
16 10 20 30 40 50 60 70
A. C= 10n
B. C= 10 +n
C. C= 10
D. C= 10 + 10n
answer:C=10+10n
proof: 10+10 (1)=20
10+10 (.6)=16
10+10 (-.4)=6
3y + 8 + (-7y) +9 expression in an equivalent. a) -10y +1 b) -4y + c) -9y d) 3y
Answer:
Step-by-step explanation:
3y + 8 +(-7y) + 9 =
3y + 8 - 7y + 9 =
-4y + 17
Hans is at the observatory of the Empire State Building in New York City. The observatory is on the 86th floor of the building. Hans will take the elevator down from the 86th floor to the first floor, a distance of 320 meters. If the ride takes 50 seconds to descend, what is the rate of descent in meters per second?
Answer:
6.4 meters per second
Step-by-step explanation:
Rate of Change
If two variables x and t are to be related as the rate x changes when t changes, it can be expressed as:
[tex]\displaystyle v=\frac{x}{t}[/tex]
Hans takes a ride in the elevator down from the 86th floor to the first floor, a distance of x=320 meters in t=50 seconds. The rate of descent is
[tex]\displaystyle v=\frac{320}{50}[/tex]
[tex]v=6.4\ m/s[/tex]
What is 18,157 rounded to the nearest thousand
Answer:
18,000
Step-by-step explanation:
because its closer to 18,000 then 19,000.
Write the function f(x)6x^2+7x+2 in vertex form, and identify its vertex
Answer:
Step-by-step explanation:
Complete the square to do this. This one is a bit of a pain because of the 7 as our linear term, but a little hard work never killed anyone!
The rules for completing the square are very strict and cannot be strayed from. The first rule is that the leading coefficient HAS to be a positive 1; ours is a positive 6 so we have to factor it out. Let's do that first then we can get to rule number 2.
Set the quadratic equal to 0, then move the constant over to the other side. This is not a rule, per se, but I teach it this way to avoid unnecessary confusion in an already confusing process.
[tex]6x^2+7x=-2[/tex] and to factor out the 6:
[tex]6(x^2+\frac{7}{6}x)=-2[/tex]
Now for rule #2: take half the linear term, square it, and add it to both sides. Our linear term is 7/6. Half of that is 7/12, and 7/12 squared is 49/144. BUT we cannot forget about that 6 hanging around out front, refusing to be ignored. It is a multiplier, so when we add 49/144 inside the parenthesis on the left, we have to add 6(49/144) to the right, giving us:
[tex]6(x^2+\frac{7}{6}x+\frac{49}{144})=-2+\frac{294}{144}[/tex]
We will rewrite now by simplifying. The left side can be written into a perfect square binomial (which is why we did this in the first place) and the right side can be added. The left side becomes
[tex]6(x+\frac{7}{12})^2[/tex]
The 7/12 comes from the square root of 49/144, and the x comes from the square root of x-squared. The right side requires a common denominator:
[tex]-2+\frac{294}{144}=-\frac{288}{144}+\frac{294}{144}=\frac{6}{144}=\frac{1}{24}[/tex]
So now we have
[tex]6(x+\frac{7}{12})^2=\frac{1}{24}[/tex]
Put evertyhing back onto the left side and set it back to equal y and you're done!
[tex]y=6(x+\frac{7}{12})^2-\frac{1}{24}[/tex]
Because the vertex form of a quadratic does not allow us to stray from the format "x -", we have to interpret our h coordinate as "x - (-7/12))" which is movement to the left. This gives us a vertex of
[tex](-\frac{7}{12},-\frac{1}{24})[/tex]
Which statement best describes the data in a scatter plot where the Y values are decreasing as the x-values are increasing
A. The data clock can be modeled by vertical line
B. The data tempest be modeled by a horizontal lThe data tempest be modeled by a horizontal line
C. The data can best be modeled by line with a positive slope
D. The data canvas be modeled by a line with a negative slope
Answer:
Option D is the right answer.Step-by-step explanation:
We need to find the option for which the value of the function will be increasing, with the increasing variable.
Vertical line means the value of the x is constant, for any y. Hence, it is not the answer.
Horizontal line represents constant functions. Hence option B can not be the answer.
The data having a positive slope represents a increasing function with the increasing variable. Vice-versa for the data having a negative slope.
That is why option D will be the answer.
The correct option is d, which is the data canvas be modeled by a line with a negative slope.
Scatter plotA scatter plot is also known as a scatter chart, a scatter graph that uses dots to represent values for two different numeric variables. Each dot on the graph represents a particular on both the axis.
Given to usthe Y values are decreasing as the x-values are increasing
As we can see in the graph below with the decreasing value of y and increasing value of x, therefore, it will be a negative slope.
Hence, the correct option is d, which is the data canvas be modeled by a line with a negative slope.
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which if the following statements is true about the triangles below
Answer:
Step-by-step explanation:
ΔABC ≅ ΔABD by ASA
I NEED HELP ASAP
Grandma bakes the world's best and favorite cookies. Grandma's cookies have a half-life of 2 hours. One day, Grandma baked a lot of cookies. If 2 days and 6 hours later, 2 cookies still remain, how many cookies did Grandma make?
A) 3.6 × 10^16
B) 4 dozen cookies
C) 268,435,456 cookies
D) 153 cookies
Answer:
C
Step-by-step explanation:
115 On a coordinate plane, draw triangle ABC with vertices
A(-1, -1), B(3, -1), and C(-1, 2). Find the area of the triangle
in square units.
Final answer:
The area of triangle ABC with vertices A(-1, -1), B(3, -1), and C(-1, 2) is calculated using the determinant method and results in 6 square units.
Explanation:
To find the area of a triangle with vertices on a coordinate plane, you can use the formula that requires knowing the coordinates of all three vertices.
For triangle ABC with vertices A(-1, -1), B(3, -1), and C(-1, 2), we can use the determinant method:
The area of triangle ABC is ½ |x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)|. Substituting our given coordinates into this formula, we get:
Area = ½ |(-1)(-1 - 2) + 3(2 - (-1)) + (-1)((-1) - (-1))|
Area = ½ |(-1)(-3) + 3(3) + (-1)(0)|
Area = ½ |3 + 9 + 0|
Area = ½ × 12
Area = 6 square units
The area of triangle ABC is therefore 6 square units.
please help me solve step by step it's urgent
Answer:
2i: 169.71
2ii: 0.17L
3a: 4×10⁻⁵
3b: 110011
Step-by-step explanation:
2i. The surface of the top and bottom of the tin is two times (top and bottom) π·r² = 2·π·3² = 18π cm².
The circumference of the circle is 2·π·r = 6π cm².
The area of the material connecting top and bottom is a rectangle of the tin height times the circumference: 6·6π = 36π cm².
This gives a total of 18π + 36π = 54π cm².
With π approximated by 22/7 the total surface area is 54*22/7 ≈ 169.71.
Notice how the calculation is simple by waiting until the very last moment to substitute π.
2ii. The volume is the area π·r² of the circle times the height of the tin: 9π*6 = 54π cm³ ≈ 169.71 cm³.
Since 1L = 1000 cm³ the volume is 0.16971 litres, which should be rounded to 0.17 L.
3a: If we rewrite P as 36 x 10⁻⁴ and realize that 36/2.25 = 16, then the fraction can be written as
16 x 10⁻⁴⁻⁶ = 16 x 10⁻¹⁰.
The square root of that is taking it to the power of 1/2, so (16x10⁻¹⁰)^0.5 = 4x10⁻⁵ = 0.00004
3b: 1111 1111 is 255 in decimal. 101 is 5 in decimal. 255/5 is 51 in decimal. 51 in binary is 110011.
Determine whether each mapping represents a function. Explain your reasoning.
Answer:
The first picture is a function and the second picture is not.
Step-by-step explanation:
Reason - In the first picture, there is no repeating value of x. In other words, every x value has a y value. However, in the second picture, the x value, 2 goes to 2 and -3.
Complete the inequality statement.
14 ft ____ 4 1/2 yd.
<
>
='
PLEASE ANSWER CORRECTLY
DO NOY ANSWER INCORRECTLY JUST FOT POINTS TY
Answer: 14ft > 41/2
Step-by-step explanation:
Your answer is:
14ft > 41/2yd
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In ΔQRS, RS = 19, SQ = 20, and QR = 18. Which statement about the angles of ΔQRS must be true?
Triangle with sides RS=19, SQ = 20, AND QR = 18 must have unequal angles as triangles with unequal sides have unequal angles.
A triangle with unequal sides is known as the Scalene triangle. As mentioned in the question triangle QRS has unequal sides of length RS = 19, SQ = 20, and QR = 18.
Then we can say that triangle Δ QRS is a Scalene triangle.
A scalene triangle has unequal angles. It has no line of symmetry present in a scalene triangle.
In a scalene triangle, the angle opposite to the longest side is the greatest.
Hence, we can say that the angles of Δ QRS are unequal.
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The correct statement is that at least two angles of ΔQRS are equal, and one angle is different.
Here,
In a triangle, the sum of the measures of the three interior angles is always 180 degrees.
This is known as the triangle angle sum property.
Therefore, if we know the lengths of two sides of a triangle, you can determine the measure of the third angle using the Law of Cosines or the Law of Sines.
In the case of ΔQRS, we can use the Law of Cosines to find the measure of angle ∠Q:
Cos(∠Q) = (RS² + QR² - SQ²) / (2 * RS * QR)
Cos(∠Q) = (19² + 18² - 20²) / (2 * 19 * 18)
Cos(∠Q) = (361 + 324 - 400) / (2 * 19 * 18)
Cos(∠Q) = 285 / 684
Cos(∠Q) ≈ 0.416667
Now, to find the measure of ∠Q, we take the inverse cosine (arccos) of 0.416667:
∠Q ≈ arccos(0.416667) ≈ 65.392°
Now that we know the measure of ∠Q, we can find the measures of the other angles:
∠R = 180° - ∠Q - ∠S
∠R = 180° - 65.392° - ∠S
And
∠S = 180° - ∠Q - ∠R
∠S = 180° - 65.392° - (180° - 65.392° - ∠S)
∠S = 180° - 65.392° - 180° + 65.392° + ∠S
∠S = 2 * 65.392° - ∠S
2 * ∠S = 2 * 65.392°
∠S = 65.392°
So, the measures of the angles in ΔQRS are approximately:
∠Q ≈ 65.392°
∠R ≈ 49.608°
∠S ≈ 65.392°
As we can see, two of the angles (∠Q and ∠S) are equal, while the third angle (∠R) is different.
Therefore, the correct statement is that at least two angles of ΔQRS are equal, and one angle is different.
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A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using18 cups of sugar.
Answer:
2 cups of sugar
Step-by-step explanation:
two lines have the given equations. Use the LINEAR COMBINATION METHOD to solve.
2x-y=1
3x-y=-6
Using linear combination method, the solution to given system of equations are (-7, -15)
Solution:Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated
Addition is used when the two equations have terms that are exact opposites, and subtraction is used when the two equations have terms that are the same.
Given system of equations are:
2x - y = 1 ---- eqn 1
3x - y = -6 ------ eqn 2
Subtract eqn 2 from eqn 1
2x - y = 1
3x - y = -6
(-) -------------
-x = 7
x = -7Substitute x = -7 in eqn 1
2(-7) - y = 1
-14 - y = 1
y = -14 - 1 = -15
y = -15Thus the solution to given system of equations are (-7, -15)
Please help me with this I’m crying
Answer:
640 cm²
Step-by-step explanation:
The ratio between the area two similar polygon are the ratio between their sides squared.
Given side S₁ and side S₂, you can find the area of the second shape by multiplying the area of the first shape by a factor of (S₂/S₁)².
This might sound confusing if you're not used to hearing math terms so lets solve it in this problem.
The side of the first trapezoid is 5cm, so S₁ = 5
The side of the second trapezoid is 20cm so S₂ = 20.
The ratio between them is 20/5=4
To find the area of the second shape, we just have to multiply the area of the first one by the ratio², ie. (S₂/S₁)².
40(4)² = 40(16) = 640 cm²
what is the solution to 3x+5+4x=5x+27
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3x + 5 + 4x = 5x + 27
7x + 5 = 5x + 27
- 5
7x = 5x + 22
- 5x
2x = 22
/2
x = 11
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Answer:
Step-by-step explanation:
3x + 5 + 4x = 5x + 27
collect like terms
7x - 5x = 27 -5
2x = 22
divide both side by 2
x = 11
slope of line (-3,-2) , (5,-2)
Answer:
0
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-(-2))/(5-(-3))
m=(-2+2)/(5+3)
m=0/8
m=0
Bobby’s football team received four five-yard penalties in the first quarter, which meant his team lost yardage in their progress toward the goal line. What was the change in their progression down the field as a result of these penalties?
Answer: they lost 20 yards.
Step-by-step explanation
Answer:
A -20
Step-by-step explanation:
The sum of two numbers is 33.the larger number is 3 more than two times the smaller number.what are the numbers?
Answer: The numbers are 10 and 23
Step-by-step explanation:
Let the smaller number be x
And the larger number be y
Ist sentence;
1. The sum of two numbers is 33.
X + y= 33 .........eqn 1
2. second sentence
the larger number is 3 more than two times the smaller number.
Y = 3 +2x
Put y into eqn 1
X+ 3 +2x = 33
3x= 33- 3
3x= 30
X = 30/3
X= 10 and y= 3+ 2x
Y= 3+ 2(10)
Y = 3+ 20
Y= 23
Therefore the two numbers are 10 and 23
How is the factoring method GROUPING different from the factoring method GCF?
Answer:
Step-by-step explanation:
The basic concept for both is the same, except with grouping you have more than 3 terms and after factoring out what is common in each group, you are left with identical terms in a set of parenthesis that can then also be factored out. For example, this would be factoring by grouping (then I will show you a factoring by GCF to better illustrate the idea):
If our polynomial is
[tex]x^3-x^2+3x-3=0[/tex]
we could group those terms into groups of 2 (without changing their order at all) to get:
[tex](x^3-x^2)+(3x-3)=0[/tex]
and we factor out what's common in each group to get:
[tex]x^2(x-1)+3(x-1)=0[/tex]
You can see that the (x - 1) is common now and can be factored out, leaving us with
[tex](x-1)(x^2+3)[/tex] (the secod term now can be factored if you need the complete linear factorization, but it will lead to imaginary numbers).
An example of factoring out the GCF is to factor out what's common in all the terms. It HAS TO BE COMMON IN ALL THE TERMS to do it this way. For example, in the polynomial
[tex]6x^3-4x^2+2x-8=0[/tex] the GCF for all the terms is a 2, so that's all we can factor out. It has to factor out of every term every time, no exceptions:
[tex]2(3x^3-2x^2+x-4)=0[/tex]
The method of GCF factoring often just serves to simplify the polynomial down a bit, but sometimes will still require factoring.
Final answer:
Factoring by grouping is used for polynomials with four or more terms, arranging them into groups with common factors, while factoring by GCF involves finding the largest common factor for all terms in an expression.
Explanation:
Factoring by grouping and factoring by the Greatest Common Factor (GCF) are two methods used in algebra to simplify expressions or solve equations.
Factoring by GCF involves finding the largest factor that is common to all terms in an expression.
For example, in the expression 4x + 8, the GCF is 4, so we can factor it as 4(x + 2).
Factoring by grouping, on the other hand, is used when an expression has four or more terms.
The method involves grouping terms so that each group has a common factor that can be factored out.
For instance, with the polynomial x^3 + 3x^2 + 4x + 12, we group the terms into (x^3 + 3x^2) + (4x + 12).
We then factor out the GCF from each group, yielding x^2(x + 3) + 4(x + 3).
Recognizing that (x + 3) is common between the groups, we can then factor further to get (x^2 + 4)(x + 3).
I need help with Algebra 2a
Answer:
Step-by-step explanation:
Summation means that you are adding together all the numbers that result from putting in the numbers 5-11 for i:
(-7 - 6(5)) + (-7 - 6(6)) + (-7 - 6(7)) + ( -7 - 6(8)) + ( -7 - 6(9)) + ( -7 - 6(10)) + ( -7 - 6(11)) which gives you the numbers:
-37 + -43 + -49 + -55 + -61 + -67 + -73 = -385
radio signals travel at a rate of 3 x 10^8 meters per second. how many seconds will it take for a radio signal to travel from a satellite to the surface of earth if the satellite is orbiting at a height of 3.6 x10^7 meters? Write the answer in scientific notation.
Answer:
[tex]time=1.2\times 10^{-1}\ second[/tex]
Step-by-step explanation:
Given:
The speed of the radio is [tex]3\times 10^{8}[/tex] meters per second.
The distance of the satellite from the earth is [tex]3.6\times 10^{7}[/tex] meter
The formula of the speed is
[tex]speed = \frac{distance}{time}[/tex]
For time the formula is.
[tex]time = \frac{distance}{speed}[/tex]
put distance and speed value in above equation.
[tex]time = \frac{3.6\times 10^{7}}{3\times 10^{8}}[/tex]
[tex]time = \frac{1.2 x 10^{7}}{10^{8}}[/tex]
[tex]time=1.2\times 10^{7}\times 10^{-8}[/tex]
[tex]time=1.2\times 10^{7-8}[/tex]
[tex]time=1.2\times 10^{-1}\ second[/tex]
Therefore, the radio will be take the time is [tex]1.2\times 10^{-1}\ second[/tex] or 0.12 seconds.