Answer:
Let's call the number of white boards that Mr. Kelso purchased "W", the number of sharpies "S", and the number of glue sticks "G". We know the following information:
W = 5G
S = G + 10
And we also know the total cost of the items:
0.79W + 1.56S + 0.85G = 91.92
We can use the first equation to substitute for W in the second equation:
0.79(5G) + 1.56(G + 10) + 0.85G = 91.92
Expanding and simplifying the equation:
4.95G + 1.56G + 16.6 + 0.85G = 91.92
7.36G + 16.6 = 91.92
7.36G = 75.32
G = 10.25
So Mr. Kelso purchased 10 glue sticks. Using the first equation, we can find that he purchased 5 * 10.25 = 51 white boards. And using the second equation, we can find that he purchased 10.25 + 10 = 20.25 sharpies.
Since the number of each item must be a whole number, we round up or down to the nearest integer. In this case, it would make sense to round up the number of sharpies to 21. So Mr. Kelso purchased 51 white boards, 21 sharpies, and 10 glue sticks.
picture in the box findiing the average
-
[tex]\cfrac{6}{4+\sqrt{2}}\implies \cfrac{6}{4+\sqrt{2}}\cdot \cfrac{4-\sqrt{2}}{4-\sqrt{2}}\implies \cfrac{6(4-\sqrt{2})}{\underset{\textit{difference of squares}}{(4+\sqrt{2})(4-\sqrt{2})}} \implies \cfrac{6(4-\sqrt{2})}{(4)^2 - (\sqrt{2})^2} \\\\\\ \cfrac{6(4-\sqrt{2})}{16 - 2}\implies \cfrac{6(4-\sqrt{2})}{14}\implies \cfrac{3(4-\sqrt{2})}{7}\implies \cfrac{12-3\sqrt{2}}{7}[/tex]
please help with explanation
The answer to the question on the value of x in a triangle is x = 60 degrees.
What is the value of x ?The fact that all the angles are labeled as x means that this is an equilateral triangle which is a triangle where all the angles are equal.
Should this be the case, the value of x would be:
= Sum of interior angles of triangles / Number of sides in triangle
Sum of interior angles of triangles = 180 degrees
Number of sides = 3 sides
The value of x is:
= 180 / 3
= 60 degrees
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Designer builds and sells small chairs and large chairs. The cost of material is $10 for each small chair and $15 for each large chair. The selling price is $22 for a small chair and $51 for a large chair. The designer spends $305 on material to make chairs. The designer makes eight more small chairs than large chairs. Write a system of equations that can be used to determine s, the number of small chairs and T, the numbers large chairs, the designer makes. How many small chairs did the designer make?
After solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.
What is meant by the system of equations?
A set of equations with a finite number of solutions is referred to as a system of equations. A system of equations in algebra consists of two or more equations and looks for common answers to the equations. A group of equations that are all satisfied by the same set of variables are referred to as a system of linear equations.
Given,
Cost of material for small chair = $10
Cost of material for large chair = $15
The selling price for a small chair = $22
The selling price for a large chair = $51
The total money spent on materials = $305
Designer makes 8 more small chairs than large chairs.
If the number of large chairs = t and the number of small chairs = s
Using the given equations, we can write the following system of equations.
10s + 15t = 305
s - t = 8
Now we make the coefficient of s in both equations the same.
Multiply 10 in the second equation.
10s + 15t = 305
10s - 10t = 80
Subtracting,
5t = 225
t = 45
s = 8 + t = 45 + 8 = 53
Therefore after solving the system of equations, we found that the number of small chairs is 53 and the number of large chairs is 45.
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What is the area of rhombus ABCD?
24.57 cm^2
39.00 cm^2
98.28 cm^2
78.00 cm^2
The area of rhombus ABCD is 98.28 cm². Therefore, option C is the correct answer.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, in rhombus ABCD, AD=10 cm and OC=7.8 cm.
Here, BC²=OC²+OB²
10²=7.8²+OB²
OB²=100-60.84
OB²=39.16
OB=√39.16
OB=6.3 cm
AC=2×7.8
AC=15.6 cm
BD=2×6.3 =12.6 cm
We know that, area of rhombus is 1/2 ×(Product of diagonals)
Now, area= 1/2 ×15.6×12.6
= 98.28 cm²
Therefore, option C is the correct answer.
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Find the equation of the line containing the points (-3, 11)
and (-4,1).
Write the equation in slope-intercept form.
The equation in slope-intercept form is y = 10x + 41.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y are the points.Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (-3, -4).
Points on y-axis = (11, 1).
At point (-3, 11), a linear equation of this line can be calculated in slope-intercept form as follows:
y - 11 = (1 - 11)/(-4 + 3)(x + 3)
Y - 11 = 10(x + 3)
y = 10x + 30 + 11
y = 10x + 41.
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Write the equation of a line that is perpendicular to y= 3/2x - 4 and goes through the points (2,-2)
Answer:
The equation of the line that is perpendicular to y= 3/2x - 4 and goes through the point (2,-2) is y = -2/3x + 4.
Step-by-step explanation:
9,100 dollars is placed in a savings account with an annual interest rate of 5%. If no money is added or removed from the account, which equation represents how much will be in the account after 6 years?
1.) M=9,100(1 + 0.05)^6
2.)M=9,100(1 - 0.05)^6
3.)M=9,100(1 + 0.05)(1 + 0.05)(1 + 0.05)
4.)M=9,100(0.95)^6
Answer:
1.) M=9,100(1 + 0.05)^6
Step-by-step explanation:
Compound Interest Rate Formula:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
In this formula the "P" represents the principle amount, or the original amount. The "r" represents the interest rate in decimal form, while the "n" represents the number of compounds in the time unit (usually years), and the "t" represents the amount of time that has passed (usually years)
In this case it says annual interest rate of 5% and nothing of compound monthly, etc... so n=1, and r=0.05. We're also given the principle amount of 9,100 and the time passed is just 6 years, so t=6. Plugging all this information into the equation we get:
[tex]A=9,100(1+0.05)^6[/tex]
which makes the first option correct.
A company acquires equipment at a cost of $32,900 on January 3, 2004. Management estimates the equipment will have a residual value of $4,700 at the end of its 4-year useful life. Assume that the company uses the diminishing-balance method and that the diminishing-balance depreciation rate is double the straight-line rate. Calculate the depreciation expense for each year of the equipment’s life.
Answer:
Step-by-step explanation:
To calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method, we need to first find the straight-line rate, and then find the diminishing-balance rate by doubling the straight-line rate.
Step 1: Calculate the straight-line rate
The straight-line rate can be calculated as follows:
SLR = (Cost - Residual Value) / Useful Life
SLR = (32900 - 4700) / 4
SLR = $27,600 / 4
SLR = $6,900 per year
Step 2: Calculate the diminishing-balance rate
The diminishing-balance rate can be calculated as follows:
DBR = 2 * SLR
DBR = 2 * $6,900
DBR = $13,800
Step 3: Calculate the depreciation expense for each year
The depreciation expense for each year can be calculated as follows:
Year 1: Depreciation Expense = Cost * (DBR / 2)
Year 1: Depreciation Expense = $32,900 * ($13,800 / 2)
Year 1: Depreciation Expense = $32,900 * $6,900
Year 1: Depreciation Expense = $227,621
Year 2: Depreciation Expense = (Cost - Year 1 Depreciation) * (DBR / 2)
Year 2: Depreciation Expense = ($32,900 - $22,761) * ($13,800 / 2)
Year 2: Depreciation Expense = $10,139 * $6,900
Year 2: Depreciation Expense = $70,223
Year 3: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation) * (DBR / 2)
Year 3: Depreciation Expense = ($32,900 - $22,761 - $70,223) * ($13,800 / 2)
Year 3: Depreciation Expense = $10,016 * $6,900
Year 3: Depreciation Expense = $68,609
Year 4: Depreciation Expense = (Cost - Year 1 Depreciation - Year 2 Depreciation - Year 3 Depreciation) * (DBR / 2)
Year 4: Depreciation Expense = ($32,900 - $22,761 - $70,223 - $68,609) * ($13,800 / 2)
Year 4: Depreciation Expense = $21,307 * $6,900
Year 4: Depreciation Expense = $146,763
So, the depreciation expenses for each year of the equipment's life are:
Year 1: $22,761
Year 2: $70,223
Year 3: $68,609
Year 4: $146,763
This is how you can calculate the depreciation expense for each year of the equipment's life using the diminishing-balance method.
please help geometry asap giving brainliest for whoever gives me the correct answers!!
The value of the segment in the geometry of the triangle is 17.5.
What is triangle?A triangle is a sort of polygon with three sides, as was said in the introduction. The vertex of a triangle is where two of its sides meet at an angle. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
If a line is parallel to one side of the triangle and intersects the other two sides, then it divides the side into segments of proportional length.
Thus,
12 / (12 + 14) = 15 / (15 + x)
12(15 + x) = 15(26)
180 + 12x = 390
12x = 210
x = 17.5
Hence, the value of the segment in the geometry of the triangle is 17.5.
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Support for character vector or string inputs will be removed in a future release. Instead, use syms to declare variables and replace inputs such as dsolve('Dy = -3*y') with syms y(t); dsolve(diff(y,t) == -3*y).
The support vector of the input dsolve('Dy = -3*y') is "dsolve(diff(y,t) == -3*y)".
A symbol is a mathematical object that represents a mathematical entity, such as a number, a variable, or a function. In mathematical software, symbols are used to represent variables, which can be used in mathematical expressions to perform computations.
In the past, character vectors or strings were used to represent symbols in certain mathematical software programs.
In the future release of this software, support for character vectors or strings will be removed. Instead, the program will require users to use the "syms" function to declare variables as symbols.
As an example of how this might be used in practice, consider the differential equation
=> "dy/dt = -3y".
In the past, this equation might have been entered into a mathematical software program using a character vector or string to represent the variable "y".
However, in the future release of this software, the user will need to use the "syms" function to declare "y" as a symbol. The equation would then be entered using the "diff" function, like this:
=> "dsolve(diff(y,t) == -3*y)".
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50 3/5 ft subtract 48 1/3 =
The substraction of 50 3/5 ft and 48 1/3 can be expressed as34/15.
How can the substraction be determined?The concept that will be used here is substraction. One of the four operations used in mathematics, along with addition, multiplication, and division, is substraction. Removal of items from a collection is represented by the operation of subtraction. For instance, the adjacent image shows 5 2 peaches, which are 5 peaches with 2 peaches subtracted, for a total of 3 peaches.
50 3/5 ft - 48 1/3 =
this mixed numbers can be converted to fractions as
253/5 - 145/3
= 34/15
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Find the volume of the irregular figure. 1 cm 5 cm 1 cm 6 cm 4 cm 10 cm 12 cm [?] cm ³ Enter
The volume of the irregular figure is solved to be
78 cubic centimetersHow to find the volume of the irregular figureThe volume of the irregular figure is solved by the formula
= area of the figure * thickness
The area of the figure is solved by dividing the firue into regular shapes and this will result to two rectangles
Area of the first rectangle
= length x width
= 4 * (12 - 5)
= 4 * 7
= 28 square centimeters
Area of the second rectangle
= 10 * 5
= 50 square centimeters
Total area = 50 + 28 = 78
volume = 78 * 1 = 78 cubic centimeters
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In Year 1, Kim Company sold land for $80,000 cash. The land had originally cost $60,000. Also, Kim sold inventory that had cost $110,000 for $198,000 cash. Operating expenses amounted to $36,000. Find Sales revenue: Cost of goods sold: Gross margin; Expenses; Operating expenses; Operating income; Non-Operating Items; Gain on sale of land; Net income?
As per the question Sales revenue is $198,000 (from the sale of inventory)
What is Sales revenue?Sales revenue, which is sometimes referred to as revenue from sales or just sales, is the entire sum of money that a business makes from the selling of goods or services to clients. It is one of the main revenue streams for the majority of businesses and is frequently used as a key performance indicator (KPI) to gauge a business's success.
Calculating sales income involves multiplying the quantity sold by the cost per unit. As an illustration, if a business sells 1,000 pieces of a product at $100 each, its sales revenue would be $100,000 ($100 x 1,000).
Sales revenue is a crucial indicator for businesses to monitor since it indicates how much demand there is for a company's goods or services.
According to question:
Cost of goods sold = $110,000 (the cost of the inventory that was sold)
Gross margin = Sales revenue - Cost of goods sold = $198,000 - $110,000 = $88,000
Expenses = Cost of goods sold + Operating expenses = $110,000 + $36,000 = $146,000
Operating income = Gross margin - Operating expenses = $88,000 - $36,000 = $52,000
Non-Operating Items = Gain on sale of land = $80,000 (the difference between the selling price and the original cost of the land)
Net income = Operating income + Non-Operating Items = $52,000 + $80,000 = $132,000
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A(t) = 17t - 1/2 * t ^ 2 power lawn mowers, 10. Suppose that the factory's cost of manufacturing units is C(x) After hours of operation, an assembly line has assembled C(x) = 2772 + 110x (a)Express the factory's cost as a (composite) function of the number of hours of operation of the assembly line )What is the cost of the first 2 hours of operation?
The function of the number of hours of operation of the assembly line will be 2772 + 110[17t - 1/2t²].
The cost of the first 2 hours of operation will be $6292
How to calculate the functionFrom the information, A(t) = 17t - 1/2t² power lawn mowers, 10 and we suppose that the factory's cost of manufacturing units is C(x) after hours of operation, an assembly line has assembled C(x) = 2772 + 110x.
Therefore, the (composite) function of the number of hours of operation of the assembly line will be:
= 2772 + 110[17t - 1/2t²]
The cost of the first 2 hours of operation will be:
2772 + 110[17t - 1/2t²]
= 2772 + 110[17 × 2 - 1/2 × 2²
= 2772 + 110(34 - 2)
= $6292
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Find the surface area of the prism.
S.A.
?
cm²
5cm
4cm
7cm
Please hurryyyy
The Total Surface Area for given prism will be 166 [tex]cm^2[/tex].
How to calculate the total surface area of Rectangular Prism?The entire surface area of a rectangular prism may be computed by adding the areas of its six sides. A rectangular prism's surface area may be determined using the following formula:
[tex]Surface Area = 2(l*w) + 2(l*h) + 2(w*h)[/tex]
where:
l = length of the rectangular prism
w = width of the rectangular prism
h = height of the rectangular prism
Using this formula for given problem,
Given,
l=5cm
w=4cm
h=7cm
[tex]\text{Total Surface area}=2.(5.7)+2.(4.5)+2.(4.7)\\\\=70+40+56\\\\=166\;cm^2[/tex]
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The Zoo-venir Stand sells zoo-related souvenirs.
Use the stem-and-leaf plot to answer 14 and 15.
14. Interpret the mean of the Zoo-venir Stand sales.
15. Interpret the range of the Zoo-venir Stand sales.
14. The mean of the Zoo-venir Stand sales is of 23.9, representing the quotient between the sum of all the amounts and the number of observations.
15. The range of the Zoo-venir Stand sales is of 30, representing the difference between the highest number and the lowest number.
How to calculate the mean and range?Considering the key format of the stem-and-leaf plot, the observations are given as follows:
12, 13, 13, 13, 14, 15, 15, 16, 17, 20, 21, 21, 22, 22, 23, 24, 25, 25, 25, 26, 27, 27, 28, 29, 29, 32, 34, 34, 37, 41, 42.
The mean is given by the sum of all observations divided by the number of observations, hence it's value is of: 23.9.
The range is the difference between the highest observation and the lowest observation, hence it is of:
42 - 12 = 30.
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RECAP NEED HELP STILL
Using trigonometric functions and Pythagoras' theorem, the x value of different right-angled triangles is found.
What is a right-angled triangle?
A right triangle, also known as a right-angled triangle, is a triangle with one right angle, or two perpendicular sides. The sum of the other two angles is 90 degrees.
In all of these figures, one of the angles is 90°. So we can use Pythagoras' theorem and trigonometric relations, to solve the questions.
1) Opposite side = 5
sin 27° = Opposite side/ hypotenuse
0.45 = 5/x
x = 11.11
2) Hypotenuse = 16
cos 63 = adjacent side/hypotensue
0.45 = x / 16
x = 7.2
3) Hypotenuse = 29
sin 67 = opposite side/hypotensue
0.92 = x/29
x = 26.68
4) Opposite side = 27
tan 39° = opposite side/ adjacent side = 27/x
0.81 = 27/x
x = 33.33
5) sin Q = opposite side / hypotensue = 14/50 = 7/25
sin R = opposite side / hypotensue = [tex]\sqrt{50^2 - 14^2}[/tex]/50 = 48/50 = 24/25
cos Q = PQ/ 50 = 48/50 = 24/25
cos R = PR/50 = 14/50 = 7/25
tan Q = sin Q/cos Q = 7/24
tan R = sin R/cos R = 24/7
Therefore using trigonometric functions and Pythagoras' theorem, the x value of different right-angled triangles is found.
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help me pls and thank you :)
Answer:
350
Step-by-step explanation:
∑ (xy) means the sum of the products of x and y , that is
∑ (xy)
= (7 × 2) + (2 × 5) + (5 × 7) + (9 × 4) + (6 × 2) + (10 × 9) + (9 × 9) + (8 × 4) + (4 × 10)
= 14 + 10 + 35 + 36 + 12 + 90 + 81 + 32 + 40
= 350
Find the volume of the solid obtained by rotating about the x-axis the region enclosed by the curves y = 16 /(x^2 + 16) , y = 0, x = 0, and x = 4.
The answer is supposed to come out to pi + (pi^2)/2.
The volume of the solid obtained by rotating about the x-axis the region enclosed by the curves is 32π/5 cubic units.
In this problem, we are asked to find the volume of a solid obtained by rotating a region enclosed by curves about the x-axis. We will use integration to calculate the volume.
First, let's sketch the region and the solid we need to find the volume of.
The region is enclosed by the curves
=> y = 16 /(x² + 16), y = 0, x = 0, and x = 4.
When we rotate this region about the x-axis, we get a solid with a hole in the center, shaped like a donut.
To find the volume of this solid, we can use the method of cylindrical shells.
We start by taking a thin strip of the region, parallel to the y-axis, and of width dy. This strip has height y, and we rotate it about the x-axis to get a cylindrical shell of thickness dy and radius x.
The volume of this cylindrical shell is given by the formula V = 2πxy dy, where x is the distance from the y-axis to the edge of the shell.
To express x in terms of y, we can solve for x in the equation
y = 16 /(x² + 16).
y(x² + 16) = 16
x² = 16/y - 16
x = √(16/y - 16)
Now we can substitute x into the formula for V to get:
V = 2πx(16/(x² + 16)) dy
[tex]= 2\pi(16/y - 16)^{1/2}(16/y) dy \\\\= 32\pi(y - y^{3/2}) dy[/tex]
To find the total volume, we integrate this expression from y = 0 to y = 1 (since the maximum value of y is 16/16 = 1):
[tex]\int_0^1 32\pi(y - y{(3/2)}) dy = 32\pi/5[/tex]
Therefore, the volume of the solid obtained by rotating the region about the x-axis is 32π/5 cubic units.
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A line passes through the origin and (4, 6). What are two other points on this line?
Two other points on this line are (1, 1.5) and (2, 3)
How to determine the two other points on this line?From the question, we have the following parameters that can be used in our computation:
A line passes through the originAnd it passes through (4, 6).This means that the slope (m) of the line is
m = 6/4
Evaluate
m = 1.5
For the other points, we have
f(2) = 2 * 1.5 = 3
f(1) = 1 * 1.5 = 1.5
So, we have (1, 1.5) and (2, 3)
Hence, the points are (1, 1.5) and (2, 3)
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Need help quick pls and thanks
a) The average rate of change is -0.6333.
b) For $500 after the inflation rate from 1917 to 1920 the worth will be 242.20631771406.
What is Rate of Change?The rate of change (ROC) measures how quickly a variable alters over a predetermined amount of time.
Given:
a) The average rate of change
= (15.9- 17.8)/ (1920 - 1917)
= -1.9 / 3
= -0.6333
So, the equation can be
y = -0.6333x + b
and, 17.8 = -0.63333(1917)+ b
b= 1231.79
So, y= -0.6333x + 1231.79
b) For $500 after the inflation rate from 1917 to 1920 the worth will be 242.20631771406.
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Joe bought g gallons of gasoline for $2.85 per gallon and c cans of oil for $3.15 per can. Select all of the expressions representing the total amount Jorge spent on gasoline and oil that are equivalent when c = 2 and g = 5
Answers:
3.15g + 2.85c
2.85g + 3.15c
2.85c + 3.15g
7.00g + 7.00c
3.15c + 2.85g
I need help math asap algebra 2
Answer:
c = 8
Step-by-step explanation:
4x³ + cx² + x + 2 ÷ x + 2 = ...
first we divide
4x³ + cx² by x + 2
and that is by doing 4x³/x = 4x².
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
now we need to find the remainder, as with regular number divisions :
4x² × (x + 2) = 4x³ + 8x²
which we need to subtract from the left side
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
- 4x³ + 8x²
----------------
0 cx² - 8x²
now we pull down the next position (x) and divide that by x + 2
4x³ + cx² + x + 2 ÷ x + 2 = 4x² + 1
- 4x³ + 8x²
----------------
0 cx² - 8x² + x
and the same again, to find the remainder, we have to subtract 1×(x + 2) = x + 2 from the left side
4x³ + cx² + x + 2 ÷ x + 2 = 4x² ...
- 4x³ + 8x²
----------------
0 cx² - 8x² + x
- x + 2
-----------------------------
cx² - 8x² 0 0
the polynomial is divisible by x + 2, if the remainder is 0.
so,
cx² - 8x² = 0
cx² = 8x²
c = 8
The area of a rectangular living room is 192 square feet. The length of the room is 8 feet less than twice the width. What is the width of the living room in feet?
Answer:
The width of the living room is 10 feet.
Step-by-step explanation:
Let the width of the living room is w.
And the length of the room is 2w - 8 ft.
Given,
The area of the room is 192 feet^2, by using the formula of area of a rectangle we get,
A = l × w
192 = (2w - 8) × w
Now,
192 = 2w^2 - 8w ( By expanding)
200 = 2w^2 (By adding 8w to both sides)
100 = w^2 (Dividing both sides by 2)
If we take square root on both sides,
w = 10
So,
The width of the living room is 10 feet.
3y - 2x = -9 y = -2x +
5 A system of linear equations is given by these equations:
On solving the provided question, we can say that the linear equation are 3y - 2x = -9 and y = -2x +5 => 3(-2x +5) - 2x = -9 => x = 3
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
the linear equation are
3y - 2x = -9 and y = -2x +5
3(-2x +5) - 2x = -9
-6x + 15 -2x = -9
-8x = -24
x = 3
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1.28/2.26 step by step explanation
Answer:
approximately 0.567088608.
Step-by-step explanation:
The division of 1.28 by 2.26 can be done as follows:
Divide the whole number part of the dividend (1) by the whole number part of the divisor (2): 1 ÷ 2 = 0 with a remainder of 1.Write the remainder (1) over the dividend, keeping the same decimals: 1.28 ÷ 2.26.Multiply the whole number part of the divisor (2) by the result of the division in step 1 (0) to get 0.Subtract this result (0) from the whole number part of the dividend (1) to get 1.Write the result of step 4 (1) as a decimal over the same number of decimals as the dividend: 1.Repeat steps 3 to 5 using this new number (1) as the dividend until you reach the desired precision.To get the final result, place the decimal point in the result according to the number of decimals in the dividend.helpppp geometry 8th grade
The length of the segment QV is 9.2 units
What is a square?
Regular quadrilaterals, such as a square, have four equal sides and four equal angles (right angles, 90-degree angles, or angles of /2 radian). It is also known as a rectangle with two neighbouring sides of identical length. It is the only regular polygon whose internal angle, central angle, external angle, and diagonal length are all equal (90°).
diagonal length, d=a√2 , where, d--> diagonal length , a= side length
So, d= 13* 1.4142 = 18.3847 units
Diagonals bisect each other
QV = d/2 = 18.3847/2 = 9.1923
Rounding to 1 decimal place
QV = 9.2 units
The length of the segment QV is 9.2 units
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SOMEONE PLEASE HELP ME I'M SO LOST
According to the diagram, angle JKL is
C. JKLHow to solve for angle JKLAdjacent angles are angles that share a common vertex and a common side, but do not overlap. In a trapezoid, adjacent angles can be any pair of angles that share a common vertex and a common side.
angle JKL and angle MKL are adjacent angels having same vertex at k
angle JKM = angle JKL angle MKL
94 = angle JKL + 47
angle JKL = 94 - 47
angle JKL = 47
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9.5 less than a number n equals 27
Answer:
N-27 = 9n + 5
Step-by-step explanation:
write equation to the word sentence 9.5 less than a number n equals 27 the answer n-27 = 9n + 5 that is posted to this question on your website is wrong according to my homework check.
For example:The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5
Given that,
A statement,
"9.5 less than a number n equals 27"
To solve for the value of "n",
we can start by subtracting 9.5 from both sides of the equation,
9.5 less than a number n = 27
So, it can be written as,
n - 9.5 = 27
n = 36.5
Therefore, 9.5 less than a number n equals 27 the answer n-27 = 9n + 5
The registration fee for a used car is 0.6% of the sale price of 5200$. How much is the fee?
Answer: $31.20
Step-by-step explanation:
0.6% = 0.006
.: fee = 0.006 x 5200 = $31.20
