Answer:
375,000x0.05
Step-by-step explanation:
Multiply and it should be how much she receives
Amount of commission is $18,750
C = [Selling cost of house]rateGiven that;
Rate of commission = 5%
Selling cost of house = $375,000
Find:
Amount of commission
Computation:
Amount of commission
C = [Selling cost of house]rate
Amount of commission = [$375,000][5%]
Amount of commission = [$375,000][0.05]
Amount of commission = $18,750
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What number would you multiply the second equation by in order to eliminate the x terms when adding the first equation?
Multiplying the second equation by -4 eliminates the x terms when adding the first equation.The second equation is 4x + 5y = -8
In order to eliminate the x terms when adding the first equation, you need to multiply the second equation by -4. The formula and calculation steps are as follows:
Formula:
Equation 1 + (-4 x Equation 2)
4x + 5y = -8
-4(4x + 5y) = -4(-8)
-16x -20y = 32
Adding the two equations together gives:
0x + 25y = 24
Therefore, multiplying the second equation by -4 eliminates the x terms when adding the first equation.
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There are 20 pennies in a jar. If 16% of the coins in the jar are pennies, how many coins are in the jar?
Answer:
125 coins
Step-by-step explanation
realized that 25 coins would be 20% of the amount of coins in the jar. Multiply 5 on both and you see that 125 coins is 100% the amount that is in the jar.
hope this helps :)
reply If you need a more proper explanation.
The number of coins in the jar are 125 coins.
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. It is denoted using the symbol "%".
We know that 16% of the coins in the jar are pennies. Let's represent the total number of coins in the jar as "x".
Then, we can set up the following equation:
0.16x = 20
Solving for "x", we can divide both sides by 0.16:
x = 20/0.16
x = 125
Therefore, there are 125 coins in the jar.
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What are the 3 names of angles?
Angles are classified into three. They are acute angles, obtuse angle and right angle.
Therefore the three names of angles are - acute angles, obtuse angle and right angle.
Acute angles are angles that measure less than 90 degrees. They are smaller than a right angle and are often described as "sharp."
Right angles are angles that measure exactly 90 degrees. They are often represented by a square corner or the letter "L" shape.
Obtuse angles are angles that measure greater than 90 degrees but less than 180 degrees. They are larger than a right angle and are often described as "blunt."
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The staff at Larry's Lawns spends their workday mowing lawns, raking, and bagging leaves. They work an average of six hours per day. The mowing and raking typically takes four hours and an average of twenty-four bags of leaves are filled. Assuming the bags are filled at a constant rate, what is the average time it takes to fill one bag of leaves
Assuming the bags are filled at a constant rate, the average time it takes to fill one bag of leaves is 5 minutes.
To calculate the average time it takes to fill one bag of leaves, we need to know the total amount of time spent filling bags and divide that by the number of bags filled.
First, we know that the staff works an average of six hours per day. Since mowing and raking typically take four hours, we can assume that the remaining two hours are spent filling bags.
To find out how long it takes to fill one bag, we divide the total time spent filling bags by the number of bags filled. In this case, it would be:
(2 hours) / (24 bags) = 0.083 hours (or 5 minutes)
So the average time it takes to fill one bag of leaves is 5 minutes.
It's important to note that this is an average time and may not reflect the exact time it takes for each bag to be filled. Factors such as the size of the bag, the type of leaves being filled, and the skill level of the staff could all affect the time it takes to fill a bag.
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Find the area of the shaded region in terms of pi.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let’s find the area of the circle.
A = 3.14(7)^2 = 153.86
Now the area of the square:
14•14=196
Now we find the area of the shaded region:
196 - 153.86 = 42.14
the shaded region is 42.14 cm
HELp meh with this question it very hard
Answer:
AB = 7 cmStep-by-step explanation:
Use the law of cosines to find the side AB:
[tex]AB = \sqrt{(x + 3)^2+x^2-2x(x+3)cos (60)} =[/tex] [tex]\sqrt{x^2+6x+9+x^2-x^2-3x} = \sqrt{x^2+3x+9}[/tex]Use the Heron's area formula next:
[tex]A = \sqrt{s(s - a)(s-b)(s-c)}[/tex], where s- semi perimeters = 1/2[x + x + 3 + [tex]\sqrt{x^2+3x+9}[/tex]) = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex])s - a = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex] - 2x - 6) = 1/2 ([tex]\sqrt{x^2+3x+9 }[/tex] - 3)s - b = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex] - 2x) = 1/2 ([tex]\sqrt{x^2+3x+9}[/tex] + 3)s - c = 1/2 (2x + 3 + [tex]\sqrt{x^2+3x+9}[/tex] - 2[tex]\sqrt{x^2+3x+9}[/tex]) = 1/2 (2x + 3 - [tex]\sqrt{x^2+3x+9}[/tex])Now
(s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)Next
A² = 3/16(x² + 3x)(x² + 3x)300 = 3/16(x² + 3x)²1600 = (x² + 3x)²x² + 3x = 40Substitute this into the first equation:
[tex]AB = \sqrt{40 + 9} = 7 cm[/tex]Answer:
AB = 7 cm
Step-by-step explanation:
Sine Rule for Area
[tex]\sf Area =\dfrac{1}{2}ab \sin C[/tex]
where:
a, b and c are the sides opposite angles A, B and Ca and b are the sides and C is the included angleGiven:
Area = √(300) cm²a = (x + 3) cmb = x cmC = 60°Substitute the given values into the formula and solve for x:
[tex]\begin{aligned} \sf Area & = \dfrac{1}{2}ab \sin C \\\\\implies \sqrt{300} & = \dfrac{1}{2}(x+3)x \sin 60^{\circ}\\\\\sqrt{300} & = \dfrac{\sqrt{3}}{4}(x+3)x\\\\\dfrac{4\sqrt{300}}{\sqrt{3}} & = x^2+3x\\\\40 & = x^2+3x\\\\x^2+3x-40 & = 0\\\\ (x-5)(x+8)& = 0\\\\ \implies x & = 5, -8\end{aligned}[/tex]
As length is positive, x = 5 only.
Substitute the found value of x into the expressions for the side lengths:
a = 5 + 3 = 8 cmb = 5 cmCosine rule
[tex]c^2=a^2+b^2-2ab \cos C[/tex]
(where a, b and c are the sides and C is the angle opposite side c)
Substitute the found values into the formula and solve for AB:
[tex]\begin{aligned}c^2 & =a^2+b^2-2ab \cos C\\\implies AB^2 & =8^2+5^2-2(8)(5) \cos 60^{\circ}\\AB^2 & =89-40\\AB^2 & =49\\AB & =\sqrt{49}\\AB & = \pm 7\end{aligned}[/tex]
As length is positive, AB = 7 cm.
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A dealer gained a 10 percent profit by selling an article for birr 330.00 what was the original price of the article
Answer:
300
Step-by-step explanation:
330/110
=3=value of 1%
3*100
=300
or
x=(330*100)/110
=300
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answer:
x and y values are doubled; scale factor is 2
Step-by-step explanation:
(4,5) becomes (8,10)
(2,5) becomes (4,10)
(1,4) becomes (2,8)
find the volume of the given solid. bounded by the planes z = x, y = x, x + y = 5 and z = 0
The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.
what is volume ?The capacity of an object is expressed in terms of volume. The quantity of space a three-dimensional item takes up can also be referred to as volume. It is sometimes referred to as the vessel's "capacity" or "volume." infant milk bottle with milliliter measuring indications and juice bottle with a 1 liter capacity.
Given
The bounds for z are 0 ≤ z ≤ x.
The bounds in the xy-plane are x ≤ y ≤ 5 - x and x in [0, 5/2]
So, V = ∫∫ (x - 0) dA
= ∫(x = 0 to 5/2) ∫(y = x to 5 - x) x dy dx
= ∫(x = 0 to 5/2) x (5 - 2x) dx
= ∫(x = 0 to 5/2) (5x - 2x^2) dx
= (5x^2/2 - 2x^3/3) {for x = 0 to 5/2}
= 125/24.
The volume of the solid given is 125/24 and is constrained by the planes z = x, y = x, x + y = 5, and z = 0.
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PLS HELP MY WHOLE GRADE IS DEPENDING ON THIS QUESTION
A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the
wall is 6 feet.
What is the area A of the table after it is cut in half?
Give your answer in terms of pi.
А=____feet2
Answer:
4.5π ft.^2
Step-by-step explanation:
Please see the attached image.
The area of a circle is the radius of the circle squared times pi.
The diameter of the round top is 6.
The radius of a circle is equal to half the diameter, so 6/2=3.
Knowing the radius of the table is 3, we can find the area by doing
3^2π=9π
9π is the area of the table, so to get half of that, simply divide by 2.
9π/2=4.5π
Answer: 4.5π ft.^2
Answer:
14.1 ft^2 or In terms of pi: A = (1/2)(π)(3 ft)^2 = (9/2)π ft%2
Step-by-step explanation:
We're talking about a semicircle here. "semi-" indicates "half."
Here the cut edge along the wall is 6 ft, so the radius of the semicircle is half that, or 3 ft.
The area of the semicircle is A = (1/2)(pi)(3 ft)^2 = 14.1 ft^2
In terms of pi: A = (1/2)(π)(3 ft)^2 = (9/2)π ft%2
Please help! No links please! Will give brainliest to correct person!!
Answer:
About 50.14 Centimeters
Step-by-step explanation:
The formula for the volume of a cylinder is:
[tex]\pi(r^2)h[/tex]
Now, let's plug in the values. (We'll use 3.14 for pi.)
[tex]3.14(r^2)76 = 600,000[/tex]
All we do now, is solve for r. Divide 76 on both sides...
[tex]3.14(r^2) = 7894.74[/tex]
Divide 3.14 on both sides...
[tex]r^2 = 2514.25[/tex]
Lastly, find the square root on both sides.
[tex]\sqrt{r^2} = \sqrt{2514.25}[/tex]
[tex]r = 50.14[/tex]
Therefore, the r, or the radius, is around 50.14 centimeters. Hope this helps!
Is 0 in a closed interval?
So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers
the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).
Real intervals play an important role in the theory of integration, because they are the simplest sets whose "length" (or "measure" or "size") is easy to define. The concept of measure can then be extended to more complicated sets of real numbers, leading to the Borel measure and eventually to the Lebesgue measure.
Intervals are central to interval arithmetic, a general numerical computing technique that automatically provides guaranteed enclosures for arbitrary formulas, even in the presence of uncertainties, mathematical approximations, and arithmetic roundoff.
So the only boundary point of [0,∞) and (0,∞) is 0 itself. It is in [0,∞), so that set is closed. It is not in (0,∞), so that set is open.
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A certain psychological test measures empathy and
emotional intelligence. The score, S, of a randomly
selected senior student at a large university has a mean
of 123 and a standard deviation of 29. The score, F, of a
randomly selected first-year student at a large university
has a mean of 104 and a standard deviation of 34.
Suppose we randomly select one senior student and one
first-year student. We can consider Sand F to be
independent random variables.
As per the given standard deviation, the probability that the first-year student shows a higher emotional intelligence test score in a randomly selected senior/first-year pair is 0.72
Here we have given that the score, S, of a randomly selected senior student at a large university has a mean of 123 and a standard deviation of 29.
And the score, F, of a randomly selected first-year student at a large university has a mean of 104 and a standard deviation of 34.
Then the probability is calculated as,
=> 123/104
=> 1.182
Where as the based on the standard deviation, the value is calculated as
=> 29/34
=> 0.852
Then the total probability of the given situation is calculated as,
=> 0.852/1.182
=> 0.72
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x=
Length=
Width=
WILL GIVE BRAINLIEST + 5 star
Answer:
x = 20
Length = 20ft
Width = 12ft
Step-by-step explanation:
A = 240
x^2 - 8x = 240
x^2 - 8x - 240 = 0
x^2 - 20x + 12x - 240 = 0
x(x-20) + 12(x-20) = 0
(x+12)(x-20) = 0
x = 20
x = -12 (which we discard since x is a length)
So the dimensions are 20ft and 20-8 = 12ft
1. Combine the like like terms
14 + 8x + 2y -5x - 2
Answer:
12 + 3x + 2y
Step-by-step explanation:
14 + 8x + 2y -5x - 2
14 + -2 + 8x -5x + 2y
12 + 3x + 2y
Answer:
3x + 2y + 12
Step-by-step explanation:
In the photo.
The number of acres in a landfill is given by the function A=3000e−0. 05t, where t is measured in years. How many acres will the landfill have after 9 years? (Round to the nearest acre. )
Is this exponential growth or decay?
A function A = 3000 e^(-0. 05t) is an exponential decay function.
And the landfill after 9 years = 1912.8 acres
From given information, the number of acres in a landfill is given by the function A = 3000 e^(-0. 05t), where t is measured in years.
To find: the landfill after 9 years
Substitute t = 9 years in above function.
A = 3000 × e^(-0. 05t)
A = 3000 × e^(-0.05 × 9)
A = 3000 × e^(-0.45)
A = 3000 × 0.6376
A = 1912.8 .............(1)
Substitute t = 9 years in given function.
A = 3000 e^(-0. 05t)
A = 3000 × e^(-0.05 × 0)
A = 3000 × e^(0)
A = 3000 × 1
A = 3000
This means, initially a landfill was 3000 acres.
From (1) we can observe that after 9 years, the landfill is 1912.8 acres.
A landfill has been reduced.
So, a function is exponential decay function.
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if f(x)= mx+ c , f (1)=5 and f(-2)=-1
Answer:
[tex]y = 2x + 3[/tex]
Step-by-step explanation:
We can find the slope.
[tex] \frac{ 5 + 1}{1 + 2 } = 2[/tex]
so m is 2
[tex]y = 2x + c[/tex]
Plug one the equations in to find c.
[tex] - 1 = 2( - 2) + c[/tex]
[tex] - 1 = - 4 + c[/tex]
[tex]3 = c[/tex]
so the equation is
[tex]y = 2x + 3[/tex]
Use complete sentences to explain why .
Answer:
answer what
Step-by-step explanation:
(10 POINTS) ATTENTION! PLEASE HELP! WILL GIVE BRANLIEST TO ACCURATE ANSWER
Answer:
c. 9ft
Step-by-step explanation:
[tex]x^{2} + 12^{2} = 15^{2}[/tex]
[tex]x^{2}[/tex] + 144 = 225
[tex]x^{2}[/tex] = 81
x = 9
For the rhombus below, find the measures
Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
what is rhombus ?A parallelogram has a unique variation known as a rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal. A rhombus also has equal-length sides and diagonals that are at right angles to one another. The term "rhombus" can also refer to a diamond or rhombus. A rhombus has equal opposite angles. At a 90° angle, the diagonals split in half. 180 degrees is the sum of adjacent angles.
given
There is a line that passes through the parallel line; the alternate interior angles are 3 and 39.
The alternative interior angles are similar, hence Angle 3 = 39.
Since the upper left triangle is a triangle, angles 3, 4, and the center angle all add up to 180 degrees. The angle in the middle is 90 degrees. hence, we may locate angle 4.
angle 4=51.
Since Angle 1 and Angle 4 are alternate internal angles, Angle 1 also equals 51.Angles 1 and 2 of the rhombus are bisector by 51 and 2, respectively.
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Please help!!!!!!!!!!!
Answer:
9/4 *(x-2)
Step-by-step explanation:
Replace xa and y in the given function then solve for y
I just need somebody to explain how to do it step by step
Given m||n, find the value of x.
Answer:
x = 102°
Reason
They're both Alternate Exterior angles
ALTERNATE EXTERIOR ANGLES ARE EQUAL.
please help please please please please
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
May someone please help me with this :) I have to find the value of x
Answer:
the answer is 50 are you trying to find the answer
I'll mark you the brainliest
plzzzz help asap❤❤
if x+y+z=1 and 1/x+1/y+1/z=0
what is x²+y²+z²=?
A) 0
B) 1
C) 2
D) 3
and please tell me why?
Sienna goes to the mall with $56. She spends $13 on food and $24 on a book. How much money does Sienna have left?
Answer: 19
Step-by-step explanation:
56-13=43
43-24=19
Answer: 19
Step-by-step explanation: 13 + 24 = 37
so (56 - 37 = 19)
This question has two parts. First, answer Part A. Then answer part B. Part A Based on the text what inference can be made about laughter? Part B Drag "yes" or "no" to each box to show whether or not the piece of evidence supports the answer to part A
Part A: Based on the text, an inference that can be made about laughter is that it can be a positive response to a situation or a way of expressing joy.
What is inference?Inference is the process of drawing conclusions from given facts or evidence. It involves making a logical guess or assumption based on the available information. Inference requires the use of critical thinking to draw conclusions that are most likely to be accurate.
Part B:
Yes - Laughter is described as a response to a situation and can be a way of expressing joy.
No - There is no evidence that laughter is a negative response to a situation.
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What kind of triangle has 65 65 50?
Isosceles Triangle has 50°, 65°, 65°
An isosceles triangle is a triangle that has two sides of equal length. The two equal sides are called the legs and the third side is called the base of the triangle.
Properties of Isosceles Triangle:
The two equal sides of an isosceles triangle are known as ‘legs’, and the angle between them is called the vertex angle or apex angle.In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.The isosceles triangle has three acute angles, meaning that the angles are less than 90°.The sum of three angles of an isosceles triangle is always 180°. The side opposite the vertex angle is called the base and the base angles are equal, and perpendicular to the apex angle bisecting the base and the apex angle.To know more about Isosceles Triangle:
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help me find the measure
Answer:
the value of x is 40 degree and the value of (2x+11) is 91 degree.
Step-by-step explanation:
hope it helps you.
Can someone tell me what this is?
Answer:
there's one solution bc the lines have one point in common