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Related Questions
What is the area of a circle with a diameter of 12.6 in.?
Use 3.14 for pi and round your final answer to the nearest hundredth
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What is the area of the kitchen floor in this floor plan?
A-24 sq meters
B-28 sq meters
C-35 sq meters
D-42 sq meters
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Answer: The correct option is (C) 35 sq. meters.
Step-by-step explanation: We are given to find the area of the kitchen floor in the floor plan shown in the figure.
From the figure, we see that
the kitchen is in the form of a rectangle with length 7 meters and breadth 5 meters.
We know that
the area of a rectangle with length l units and breadth b units is given by
[tex]A=l\times b.[/tex]
For the rectangular kitchen, we have
length, l = 7 meters
and
breadth, b = 5 meters.
Therefore, the area of the kitchen floor in the floor plan is given by
[tex]A=l\times b=7\times 5=35~\textup{sq. meters}.[/tex]
Thus, option (C) is CORRECT.
Use the Remainder Theorem to determine if [tex]x-2[/tex] is a factor of the polynomial [tex]f(x)=3x^5-7x^3-11x^2+2[/tex].
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Therefore it is not a factor.
Is (2,5) a solution of y=3x-10?
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No, (2,5) is not a solution of y = 3x-10
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, an equation y = 3x-10, we need to check whether (2,5) is solution of the give equation or not,
For that put x = 2 in 3x-10 and check whether it equals to 5 or not, if not then (2,5) is not a solution of the equation,
= 3×2-10
= 6-10
= -4
∵ -4 ≠ 5
Hence, No, (2,5) is not a solution of y = 3x-10
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Find an equation of a line whose graph intersects the graph of the parabola y=x^2 at (a) two points, (b) one point, and (c) no point.
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(b) y = 2x - 1
(c) y = 2x - 3
The transitive property of equality states that:
if a = b, then b = a
if a = b, then ac = bc
if a = b and b = c, then a = c
if a = b and c = c, then a + b = b + c
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hope that helps, God bless!
Answer: The correct option is
(C) if a = b and b = c, then a = c.
Step-by-step explanation: We are given to select the correct statement for the transitive property of equality.
We know that
if x, y and z are three real numbers, then the transitive property of equality states that
if x = y and y = z, then x = z.
So, for reals a, b and c, the property states that
if a = b and b = c, then a = c.
Option (C) is CORRECT.
What is the equation of the line that is parallel to the line 5x+2y=12 and passes through the point (-2, 4)?
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The equation of the line parallel to [tex]\(5x + 2y = 12\)[/tex] and passing through the point (-2, 4) is given as [tex]\(y = -\frac{5}{2}x - 1\).[/tex]
To find the equation of a line parallel to [tex]\(5x + 2y = 12\)[/tex] and passing through the point (-2, 4), we need to follow these steps:
1. Convert the given equation[tex]\(5x + 2y = 12\)[/tex] into slope-intercept form [tex]\(y = mx + b\).[/tex]
2. Determine the slope of the given line.
3. Use the slope and the given point to find the equation of the parallel line using the point-slope form.
4. Convert the equation into slope-intercept form if needed.
Let's start with step 1:
1. Convert [tex]\(5x + 2y = 12\)[/tex] into slope-intercept form [tex]\(y = mx + b\):[/tex]
Subtract [tex]\(5x\)[/tex] from both sides:
[tex]\[2y = -5x + 12\][/tex]
Divide both sides by 2:
[tex]\[y = -\frac{5}{2}x + 6\][/tex]
Now, we know that the slope of the given line is [tex]\(-\frac{5}{2}\)[/tex] . Since the line we're looking for is parallel to this line, it will have the same slope.
2. The slope [tex](\(m\))[/tex] of the parallel line is [tex]\(-\frac{5}{2}\).[/tex]
Next, we use the point-slope form[tex]\(y - y_1 = m(x - x_1)\),[/tex]where [tex]\((x_1, y_1)\)[/tex] is the given point (-2, 4) and [tex]\(m\)[/tex] is the slope.
3. Substitute the values into the point-slope form:
[tex]\[y - 4 = -\frac{5}{2}(x - (-2))\][/tex]
[tex]\[y - 4 = -\frac{5}{2}(x + 2)\][/tex]
Now, distribute[tex]\(-\frac{5}{2}\):[/tex]
[tex]\[y - 4 = -\frac{5}{2}x - 5\][/tex]
4. Convert to slope-intercept form:
Add 4 to both sides:
[tex]\[y = -\frac{5}{2}x - 5 + 4\][/tex]
[tex]\[y = -\frac{5}{2}x - 1\][/tex]
So, the equation of the line parallel to [tex]\(5x + 2y = 12\)[/tex] and passing through the point (-2, 4) is [tex]\(y = -\frac{5}{2}x - 1\).[/tex]
Complete question:
What is the equation of the line that is parallel to the line 5x+2y=12 and passes through the point (-2, 4)?
Please help!!
4) Use the figure below to answer parts A and B. Show your work. (4 Points)
A.)Explain, in words, a series of rigid motions that would map ∆MJS onto ∆DWP.
B.)Write the ordered-pair rule for each transformation in the sequence
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The series of rigid motions that would map ∆MJS onto ∆DWP are:
a.) A rotation of 90 degrees about the point J in the clockwise direction.
b.) A translation of 1 units to the right and 5 units up.
Part B:
The ordered-pair rule for each transformation in the sequence are:
a.) R (J, 90 degrees)
b.) (x, y) → (x + 1, y + 5)
original cost: 1.25; Markup %:80
Answers
To find out 80% of 1.25, you need to convert 80(%) to a decimal. You can do this by dividing 80 by 100.
80/100 = 0.8
Add this to the original cost.
1.25 + 0.8 = 2.05
Your total cost in the end would be $2.05
80/100=0.8
1.25x0.8=1
1.25+1=2.25
The new price would be $2.25
Hope this helps!
suppose you planted 3 trees around the north and west sides of one of the houses worth $100,000 on the map. You have increased he property value of the house by $10,000. In addition, the owner will save an average of$50 per year in heating costs. Assuming that the homeowner lives in the house for another 20 years, what is the total dollar value of the trees to the homeowner and the community?
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The total dollar value of the trees to the homeowner and the community will be $11,000.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Suppose you planted 3 trees around the north and west sides of one of the houses worth $100,000 on the map. You have increased the property value of the house by $10,000. In addition, the owner will save an average of$50 per year in heating costs.
Assuming that the homeowner lives in the house for another 20 years.
Then the total dollar value of the trees to the homeowner and the community will be
⇒ 10,000 + 50 x 20
⇒ 10,000 + 1,000
⇒ $11,000
The total dollar value of the trees to the homeowner and the community will be $11,000.
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Help I can’t answer this math question!!!
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The probability is 6 out of 16
Martin drew a pair of perpendicular lines and a pair of parallel lines.which of these statements best compares the pairs of perpendicular and parallel lines?
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Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108
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-8x - 8y = -16
6x - 9y = -108
Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)
In matrix form, the equations are
[tex] \begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}[/tex]
The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5
Use Cramer's Rule.
[tex]x = \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) = \frac{1}{-5} (-6+36) = -6[/tex]
Similalrly,
[tex]y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8[/tex]
Answer: (-6, 8) or x = -6, y = 8
What is 997,000 rounded to the nearest 10 thousand?
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My number has nine digits it is evenly divisible by 100 the value of one of the digits is 700,000 the digit in the millions place is both even and prime the digit in the hundreds place is the temperature at which water freezes the digit in the ten millions place is triple the number in the millions place the digit in the thousands place is the number of fluid ounces in a cup the digit in the hundred millions place is a special number because it is a factor of every number.
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Nine digits: nnn,nnn,nnn
Divisible by 100 = last two digits are 00
hundred thousands place = 7
one millions place is even and prime = 2 [the only prime even number]
hundreds place = 0 [water freezes at 0 °C]
Ten millions place is triple one millions place = 6 [2x3]
one thousands place = 8 [8 ounces in one cup]
Hundred millions place = 1 [only number that's a factor of every number]
162,708,000
What are the missing parts that correctly complete the proof?
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3. AXP and AXQ ----------- Definition of perpendicular.
4. AXP=AXQ ------------- All right angles are congruent.
6. AXP=AXQ ------------ SAS congruence
7. AP=AQ -------------Corresponding parts of congruent triangles
Just took the test!!!!
The missing parts of the question is required.
The blanks are
2 Definition of bisector
3 Definition of perpendicular
4 [tex]\angle AXP=\angle AXQ[/tex]
6 SAS congruence postulate
7 Corresponding parts of congruent triangles
In the given figure.
Line AX is a perpendicular bisector of PQ.
This means [tex]PX\cong QX[/tex]
[tex]\angle AXP=\angle AXQ=90^{\circ}[/tex]
[tex]AX\cong AX[/tex] because it is the same side.
[tex]\triangle AXP\cong \triangle AXQ[/tex] because of the above three points SAS congruence.
[tex]AP\cong AQ[/tex] because they are corresponding parts of congruent triangles
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Multiply or divide as indicated 10x^5/2x^2
Answers
10/2 and x^5/x^2
5 and using the exponential laws of division X ^m/X^n = X ^ m-n
The second part evaluates to X^3.
Putting the terms together we get the final answer, which is 5x^3.
The expression [tex]10x^5/2x^2[/tex] simplifies to [tex]5x^3[/tex] by dividing the coefficients (10/2) to get 5 and subtracting the exponents (5 - 2) in [tex]x^5[/tex] and[tex]x^2[/tex]to get 3.
Explanation:To solve the given expression, [tex]10x^5/2x^2[/tex], you would first divide the coefficients and then deal with the bases (x) separately.
The coefficients (numbers without variables), 10 and 2, divide to give you: 10/2 = 5.
For the part that includes x, [tex]x^5/x^2[/tex], you subtract the lower exponent from the higher exponent because when you divide powers with the same base you subtract the exponents. So 5 - 2 = 3.
Thus, the final answer is: [tex]5x^3[/tex].
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Convert into mixed number 81/3 and -29/2
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how many times 3 goes into 81? well, 27 times, with a remainder of 0, thus [tex]\bf 27\frac{0}{3}[/tex]
how many times does 2 go into 29? well 14 times, with a remainder of 1, thus [tex]\bf -14\frac{1}{2}[/tex]
81/3 is 27
-29/2 is -14.5
sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. on sunday sam hopes to make at least $150 painting rooms and can work for exactly 12 hours. which of the following sets represents the range of rooms(r) that sam can paint without violating either his monetary or time restriction?
A. r={3,6}
B. r={6,10}
C. r={3,5}
D. r={3,10}
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the answer would be A because 3 rooms would equal 150 and that would only take 6 hours to complete.
You have 120 pieces of fabric to make a blanket. Each piece of fabric is a square with a side length of 6 inches. you can use as many pieces of fabric as possible to create a square blanket. What is the area of the blanket? How many pieces of fabric or left over. How many more pieces of fabric what you need to increase the size of the blanket
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A scale model of a merry-go-round and the actual merry-go-round are similar.
a. How many times greater is the base area of the actual merry-go-round than the base area of the scale model? Explain. The ratio of the corresponding lengths is : 1. So, the ratio of the areas is : 1 and the base area of the actual merry-go-round is times greater than the base area of the scale model.
b. What is the base area of the actual merry-go-round in square feet? The base area of the actual merry-go-round is square feet.
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The base area of the actual merry-go-round is the same as the model due to the 1:1 scale. Without further information, the actual base area of the merry-go round cannot be calculated.
Explanation:To understand this, we need to know a key principle of scale models. In a scale model, when the ratio of the lengths is 1:n, the ratio of the areas is square of that, or 1:n2. Hence, if the scale of models is 1:1 as given, the base area of the actual merry-go-round is equal to the base area of the scale model, meaning the ratio is also 1:1.
For part b, without the specific measurements of the base area of the scale model or the scale used, it is impossible to calculate the base area of the actual merry-go-round in square feet. We need one or the other to make this calculation.
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The base area of the actual merry-go-round is 16 times greater than the base area of the scale model. The base area of the actual merry-go-round in square feet can be calculated using the base area of the scale model.
Explanation:The base area of the actual merry-go-round is 16 times greater than the base area of the scale model. This is because the ratio of the corresponding lengths is 1:4, so the ratio of the areas is 1:16.
To find the base area of the actual merry-go-round in square feet, you will need to know the base area of the scale model in square feet. If you provide the base area of the scale model, I can help you calculate the base area of the actual merry-go-round.
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5. 7x + 2 + 4y Identify the terms
I'm sorry... I'm a dumb person and these confuse me the most
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I hope that's what you were looking for
How to write 0.924 in two other forms
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Your question:
How to write 0.934 in two other forms?
My answer:
Since 0.924 is a decimal, the two other ways are going to be a fraction and a percent. To make it a fraction you are going to find out what it's out of. in this case, it's 1,000.
The answer is: 924/100 and 92.4%
A train travels 128 km in 2 hours and 30 minutes. What is its average speed in km/min?
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1 hour = 60 minutes
2 hours = 120 minutes +30 = 150 minutes total
128 / 150 = 0.853 km/min
Solve for x.
x+8-3=19
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x + 5 = 19
x + 5 (-5) = 19 (-5)
x = 14
hope this helps
x is 14.
Do the problem backwards.
19 - 8 + 3 = x
11 + 4 = x
14 = x
TWO EASY QUESTIONS 8TH GRADE MATH
9. Complete the missing steps in the paragraph proof of Theorem 3-8.
11. Solve for the value of x in the triangle shown below. Show your work! (1 point for equation, 1 point for answer)
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<2 and <6 are right angles by the definition of perpendicular lines.
Since corresponding angles are congruent, m || n.
11.
In a triangle, the measures of the three angles add to 180 degrees.
If one angle is a right angle, then that angle measures 90 degrees. The other two angle measures plus 90 degrees add to 180 degrees, so the other two angle measures add to 90 degrees. In a right triangle there is a right angle and two other angles that are complementary.
Now look at your problem.
One angle is a right angle.
The other two angles are complementary, so their measures add to 90 deg.
8x + 2 + 9x + 3 = 90
17x + 5 = 90
17x = 85
x = 5
1/4 (4r - 8) = r - 2
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Use distributive property.
4/4r - 8/4 = r - 2
4/4 can be written as 1 and -8/4 can be written as -2.
r - 2 = r - 2
You have an infinite amount of solutions.
Hope this helps!
1. Mrs.vega brought a new aquarium for her turtles. How much space will the turtles have in the aquarium if the length is 3.2 ft, the width is 1.5 ft and the height is 27 ft?
2. What is the volume of a cylinder that has a radius of 6 inches and height of 8 inches?
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Which mathematical symbol would best fill in the blank to compare the two real numbers?
square root of 7 blank 14 over 5
<
>
=
≈
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14 over 5 is rounded to 2.8
square root of 7 < 14 over 5
Answer: The correct option is (A) < .
Step-by-step explanation: We are given to select the correct mathematical symbol that would best fill in the blank to compare the following two real numbers :
[tex]\sqrt7~~~?~~~\dfrac{14}{5}.[/tex]
First , we need to find the values of both the real numbers in decimal form.
We have
[tex]\sqrt7=2.64575...,\\\\\dfrac{14}{5}=2.8.[/tex]
Since, [tex]2.64575<2.8,[/tex] so we get
[tex]\sqrt7<\dfrac{14}{5}.[/tex]
Thus, the correct mathematical symbol is <.
Option (A) is CORRECT.
What is the solution of the system of equations?
-3x-4y-3z=-7
2x-6y+2z=3
5x-2y+5z=9
Answers
Let's begin with eliminating the y's in equations 1 and 3, then in equations 2 and 3:
[tex]-3x-4y-3z=-7 [/tex] times -1⇒ [tex]3x+4y+3z=7 [/tex]
[tex]5x-2y+5z=9[/tex] times 2⇒ [tex]10x-4y+10z=18[/tex]
ADD the two equations: 13x + 13z = 25
[tex]2x-6y+2z=3[/tex] times -1⇒[tex]-2x+6y-2z=-3[/tex]
[tex]5x-2y+5z=9[/tex] times 3⇒ [tex]15x-6y+15z=27[/tex]
ADD the two equations: 13x+13z=24
Subtract the two resulting equations and you get 0 = 1 which is false so there is no solution for the system.
Answer:
Given equations have no solution
Step-by-step explanation:
Given -
Three set of equations -
[tex]-3x-4y-3z=-7\\2x-6y+2z=3\\5x-2y+5z=9[/tex]
We will now equate "x" in the first equation in terms of "y" and "Z" and put it in second equation -
[tex]-3x-4y-3z=-7\\x = \frac{1}{3} (-4y -3z+7)\\\frac{2}{3}(-4y -3z+7) -6y+2z=3\\-8.667 y = -1.667\\y = 0.192\\[/tex]
We will substitute the value of y in the under given equation-
[tex]x = \frac{1}{3} (-4y -3z+7)\\x = \frac{1}{3} (-4*0.192 -3z+7)\\x= 2.077-z[/tex]
substituting the derived values in last equation, we get -
[tex]5x-2y+5z=9\\5(2.077-z)-2(0.192)+5z=9\\10.385-5z-0.384+5z=9\\0=-1[/tex]
Hence, the given equations have no solution