The total selling price of the 300 toys bought at a cost of $24 per unit with a mark up of 25% is $9,000.
What is the mark up?The mark up refers to the percentage added on the cost of a retail item.
The mark up increases the cost price to determine the selling price.
The difference between the selling price and the cost price is the profit margin.
The number of toys bought by the store = 300
The unit purchase cost = $24
The total cost = $7,200 (300 x $24)
The mark up = 25%
The selling price for 300 = $9,000 ($7,200 x 1.25)
The selling price per unit = $30 ($9,000 ÷ 300)
Thus, after marking up the items by 25%, the total selling price is $9,000.
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Polynomial factoring
X^3-5x^2-x+5
Answer:
=143Yiii HAHHAHAHAHAHAHHA
Answer:
(x-5)(x-1)(x+1)
Step-by-step explanation:
hope this helps you :)
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y-1=0?
2x - y - 4 = 0
2x + y -4 = 0
2x+y+4= 0
graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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To borrow money you pawn your mountain bike. Based on the value of the bike the pawnbroker loans you $552. One month later, you get the bike back by paying the pawnbroker $851. What annual interest rate did you pay?
P is annual
P_o is initial
r is rate of interest
t is time
Find r
851=552(1+r(1/12))1.5417=1+r/120.5417=r/12r=12(0.5417)r=6.5So
The rate is
6.5(100)=650%In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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Find the approximate perimeter of rectangle ABCD plotted below.
A(-2,6)
B(3,3)
D(-8,-4)
C(-3,-7)
Answer:
35 units
Step-by-step explanation:
Perimeter of rectangle ABCD =2(L + W)
L = AD or BC (we only need to calculate one of the two)
W = AB or DC. (we only need to calculate one of the two).
Distance between A(-2, 6) and D(-8, -4):
\( AD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
Let,
\( A(-2, 6) = (x_1, y_1) \)
\( D(-8, -4) = (x_2, y_2) \)
\( AD = \sqrt{(-8 -(-2))^2 + (-4 - 6)^2} \)
\( AD = \sqrt{(-6)^2 + (-10)^2} \)
\( AD = \sqrt{36 + 100} = \sqrt{136} \)
\( AD = 11.7 \) (nearest tenth)
Distance between A(-2, 6) and B(3, 3):
\( AD = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
Let,
\( A(-2, 6) = (x_1, y_1) \)
\( B(3, 3) = (x_2, y_2) \)
\( AB = \sqrt{(3 -(-2))^2 + (3 - 6)^2} \)
\( AB = \sqrt{(5)^2 + (-3)^2} \)
\( AB = \sqrt{25 + 9} = \sqrt{34} \)
\( AB = 5.8 \) (nearest tenth)
Perimeter of rectangle ABCD =2(AD + AB)
= 2(11.7 + 5.8)
= 2(17.5)
= 35 units
For the algebraic expression: -7+t
Identify the variable
Identify the constant
Answer:
Answer is in the attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note a variable is a alphabet can be assigned to any value, while a constant is a fixed number or value.
Answers:
variable = t
constant = -7
Step-by-step explanation:
So we know that a variable is a letter while a constant is a number
in here -7 is the constant (the number) and t is the variable (the letter)
Therefore, the variable is t and the constant is -7.
The equation y=1/5x+3.5 can be used to find the amount of accumulated snow y in inches x hours after 5 P.M. on a certain day. Graph this equation.
The coordinates of the y-intercept are (0, 3.5) and the coordinates of the x-intercepts are (-17.5, 0). Using these coordinates, the graph of the equation is shown below.
Graphing linear equationsFrom the question, we are to graph the given linear equation.
To graph the equation,
We will determine the coordinates of the x-intercepts and y-intercepts.
When x = 0
y = 1/5x + 3.5
y = 1/5(0) + 3.5
y = 3.5
(0, 3.5)
When y = 0
y = 1/5x + 3.5
0 = 1/5x + 3.5
Multiply through by 5
0 = x + 17.5
x = -17.5
(-17.5, 0)
Using the coordinates of the x-axis and y-axis, the graph of the equation is shown below.
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Use the applet to give the square a side length of 1.3 cm. At this moment, what is the measure of the perimeter of the square (in cm) in units of the side length of the square (in cm)
Answer:
Perimeter, P = 5.2 cm
Step-by-step explanation:
Perimeter is the sum of all the sides.
All sides of a square is equal. Here, the side of a square is 1.3 cm.
The perimeter of a square is given by :
P = 4 × side
It means,
P = 4 (1.3 cm)
P = 5.2 cm
Hence, the perimeter of the square is 5.2 cm.
2,375×6 help i need step by step
Answer:
14250
Step-by-step explanation:
14250
6
=2375
Answer:
14,250
Step-by-step explanation:
Just multiply 6 by all of them.
Write the equation of the scenario.
Tony's father is thinking of buying his son a six-month movie pass for $40. With the
pass, movies cost $3.00 each.
Answer:
13.3
Step-by-step explanation:
you just divide 40 and 3
Work out 2 2/6+4 2/6 Give your answer as a mixed number in its simplest form.
Answer:
6 2/3
Step-by-step explanation:
You have some money to invest in one of two accounts. The first account pays
5% simple interest, and the second pays 4% compound interest. How would
you decide which account to use? Discuss your answer.
Answer:
compound interest
Step-by-step explanation:
compound interest yields higher profit than simple interest
Answer:
the simple interest function will be greater in the beginning, but the
compound interest equation will overtake the simple after a while.
it appears that the 4% compound equation will overtake the simple at about 10 years
Step-by-step explanation:
\(1 + .05t = 1(1.04)^t\)
What is the surface area of the rectangle pyramid below 13 13 13
Answer:
Step-by-step explanation:
Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:
First, we need to calculate the area of the rectangular base, which is simply length x width:
Area of rectangular base = 13 x 13 = 169 square units
Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.
To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:
a² + b² = c²
where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.
13² + 13² = c²
338 = c²
c ≈ 18.38
Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:
Area of isosceles triangle = (1/2) x base x height
Area of isosceles triangle = (1/2) x 13 x 18.38
Area of isosceles triangle ≈ 119.14 square units
To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:
Area of right triangle = (1/2) x base x height
Area of right triangle = (1/2) x 13 x 18.38
Area of right triangle ≈ 119.14 square units
Since there are two of each type of triangular face, the total surface area of the pyramid is:
Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle
Surface area = 169 + 2 x 119.14 + 2 x 119.14
Surface area = 546.28 square units
Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.
Use the fact that 2-1/2 ÷ 1/8 = 20, to find 2-1/2 ÷ 5/8. Show your work.
Answer:
Convert the improper fraction into a mixed number:dfrac2 * 2 + 12 / 5/8 Calculate the product or quo.
Step-by-step explanation:
8th grade Pre-algebra
Answers:
One solution at (-2,0)
One solution at (0,-2)
No solution
Infinitely many solutions
PLS HELP THX
Answer:
No solution
Step-by-step explanation:
it's no solution because the lines are infinitely going to go forward without crossing.
1. Which of the following relations is NOT considered a function?
(3,4). (4,5), (6,7), (8,9)
(-3,4), (4,-5). (0,0), (8,9)
(13,14), (13,5). (16,7). (18,13)
(3,90). (4,54). (6,71). (8,90)
Answer:
The relation (13,14), (13,5). (16,7). (18,13) is not considered a function
Step-by-step explanation:
Relations are only considered functions if each x value, which is the first number in each ordered pair or set of parentheses, has only one corresponding y-value, which is the second number in each ordered pair. The third option has two y-values, 14 and 5, for one x-value, 13. This means that it does not satisfy the requirements to be a function and therefore it is not a function.
A water wheel has a radius of 4 feet and the bottom of the wheel is 1 foot from the ground. One plank is painted white and it starts at the top of the wheel. The wheel is rolled forward through an angle of pi over 3 radians. How high from the ground is the white plank after this motion?
Answer:
The height of the plank after the π/3 rotation motion is 8.464 ft
Step-by-step explanation:
The radius of the wheel = 4 ft
The elevation of the bottom of the wheel from the bottom = 1 foot
The angle to which the wheel is rolled = π/3 radians
The height of a rotating wheel is given by the following relation
f(t) = A·sin(B·t + C) + D
Where;
D = Mid line = 4 + 1 = 5 feet
B·t = π/3
C = 0
A = The amplitude = 4
Which gives;
f(t) = 4×sin(π/3) + 5 = 8.464 ft
The height of the plank after the π/3 rotation motion = 8.464 ft.
Answer:7 ft
Step-by-step explanation:
C
Evaluate the expression 8 - 4x * y ^ 2 for x = 3 and y = - 2 . - 40 48 80
Answer:
-40
Step-by-step explanation:
8 - 4x * y ^ 2
Let x =3 and y = -2
8 - 4(3) (-2)^2
Exponents first
8 - 4(3) (4)
Multiply
8 - 48
Subtract
-40
If f(x) = 3x² - x, Find f( -2)
options
14
10
38
Answer: 14
Step-by-step explanation:
f(-2) means x is -2, so we can solve for when x = -2 by plugging -2 into the equation.
\(f(-2) = 3(-2^{2}) - (-2)\\=3(4) + 2\\=12+2\\=14\)
Answer:
Step-by-step explanation:
So what you start with is the variable "x" in 3 different places. When you are changing the x variable, you need to plug it into every variable in the equation. Start by doing that and the problem will look like: f (-2) = 3 (-2)^2 - (-2) Now you can start with either the 3 (-2)^2 or the - (-2), but it is better to go from left to right.
Your Best
Elina
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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John and Monica completed the same task on different lines in an assembly plant. When John had completed 7/9 of the task, Monica had only completed 5/9 of the task. How much more of the task has John completed than Monica?
Answer:
2/9ths
Step-by-step explanation:
7/9 - 5/9 = 2/9
Hope this helps <3
Simplify the expressions:
−8y³ x 5y8
Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.
Step-by-step explanation:
You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.
Hope this helps! Have a good day :)
Find the distance between point P and line L
The distance between point P and line L is 16/9√(13).
To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:
Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:
|ax1 + by1 + c|/√(a² + b²)
To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.
2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y
The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:
y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4
Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.
Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).
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The thousandths digit of this number is smudged. What must be true about the number?
3.48{smudged digit}.
A It could become 4 when rounded to the nearest whole.
B It becomes 3.48 when rounded to the nearest hundredth.
C It becomes 3.5 when rounded to the nearest tenth.
D It cannot be rounded to any place without knowing the thousandths digit.
Determine the equation of the line that passes through the given point and is parallel to the given line Point: (3,-4) Line: y=-2/3x-2
Answer:
y=-2/3x+2
Step-by-step explanation:
multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2
The times that a cashier spends processing individual customers' orders are independent random variables with mean 3.5 minutes and standard deviation 3 minutes. Find the number of customers n such that the probability that the orders of all n customers can be processed in less than 2 hours, is approximately 0.1. (Round your answer to the nearest integer.)
Answer:
26 customers
Step-by-step explanation:
First: determine the z score from standard normal probability table with an indicative area of 0.1
Z-score from probability table = - 1.28
mean = 3.5 minutes
std = 3 minutes
next determine the Z-score based on the information given in the question
Z = ( std - mean ) / processing time
= ( 3 - 3.5 ) / 2 = -0.25
Finally determine the number of customers
N = \((\frac{-1.28}{-0.25} )^2\) = 1.6384 / 0.0625 = 26.21 ≈ 26 customers
2. 7 cm In triangle ABC, AC = 7 cm, BC = 10 cm, angle ACB = 73° C 73° 10 cm Calculate the length of AB Give your answer correct to 3 significant figures. Diagram NOT accurately drawn B (Total 3 marks
Answer:
AB = 10.398
Step-by-step explanation:
By cosine rule, we have:
AB² = AC² + BC² - 2(AC)(BC)cos(ACB)
⇒ AB² = 7² + 10² - 2(7)(10)cos(73)
⇒ AB² = 49 + 100 - 140cos(73)
⇒ AB² = 149 - 140cos(73)
⇒ AB² = 149 - 140cos(73)
⇒ AB² = 149 - 140(0.292)
⇒ AB² = 149 - 40.88
⇒ AB² = 108.12
⇒ AB = √(108.12)
⇒ AB = 10.398
Find the volume of this please
Answer: 436.8
Step-by-step explanation:
Determine how many liters a right circular cylindrical tank holds if it is 6 m long and 13 m in diameter.
The tank holds approximately 994,040 liters.
To solve this problem
The volume of a right circular cylinder is given by the formula:
V = πr^2h
Where
r is the radius of the cylinderh is its height π is a mathematical constant approximately equal to 3.14159The cylinder's diameter is specified as 13 m, hence the radius may be computed using the formula: r = d/2 = 13/2 = 6.5 m
The cylinder is described as having a 6 m length.
These values are substituted into the volume calculation to produce the following result:
V = π(6.5)^2(6)
V ≈ 994.04 cubic meters
Since 1 cubic meter equals 1000 liters, we can convert the volume to liters by multiplying by 1000.
V = 994.04 cubic meters x 1000 liters/cubic meter
V = 994,040 liters
Therefore, the tank holds approximately 994,040 liters.
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