Following are three steps 1. Isolate the variable: First, identify the variable you are trying to solve for and use the other terms in the equation to isolate that variable. This means using inverse operations to move any terms containing the variable to one side of the equation and any terms without the variable to the other side of the equation.
2. Simplify the equation: Once the variable is isolated, use the properties of equality and inverse operations to simplify the equation, if needed.
3. Solve the equation: Finally, use the inverse operations to solve the equation and find the value of the variable.
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would you earn a greater total commission with Sara or Ravi?
The current ratio of Sara's sales to Ravi's sales is 100:2
Sara's pieces of art sell for $25 each your commission is 60%
Ravi's pieces of art sell for $2000 each your commission is 25%
as a professional artist assume you will make pieces of art that sell at the same sales ratio as the artist with whom you apprenticed. would you earn more as a professional after apprenticed for Sara or Ravi?
As a professional artist and judging from the current sales ratio and commission rates, one would earn more if one apprenticed for Sara.
Which of Sara and Ravi guarantees more earnings after apprenticeship?As evident in the task content; the current ratio of Sara's sales to Ravi's sale is 100 : 2.
Since Sara's pieces of art sell for $25, the total earnings is; 25 × 100 = $2500.
Hence, since the commission rate is 60%, it follows that the commission earned on sales of Sara's pieces is; 60% of 2500 = 0.6 × 2500 = $1500.
Also, since Ravi's pieces each cost $2000, it follows that for 2 pieces, the total earnings is; 2 × $2000 = $4,000.
Hence, since the commission rate for Ravi's pieces is 25%, the commission earned is therefore; 25% of 4000 = 0.25 × 4000 = $1000.
On this note, one would earn more if one apprenticed for Sara.
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Find the rate of change for this linear function.
y = 5x - 1
Find the initial value of the linear function
Y=5x+2
rate of change for this linear equation, y = 5x - 1 is +5
the initial value of the linear equation, y = 5x + 2 is +2.
What is linear equation?A linear equation is an algebraic equation of the form y = mx+c, where m is the slope and c is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.
Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.
Given that,
y = 5x - 1 is a linear equation.
As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.
Therefore, for the given equation, rate of change is 5 and initial value is -1.
Given that,
y = 5x + 2
is a linear equation.
As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.
Therefore, for the given equation, rate of change is 5 and initial value is + 2.
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You found that the area of the quarter circle is 78.50 cm squared. You are right. How was this answer found?
Please help me! It's basically asking how to find the area of this quarter circle. I also have to show how I know that the answer is correct by using these steps to get the area of 78.50 cm squared.
The area of the quarter of the circle is 78.50 squared centimeters.
How to find the area of quarter of a circle.A circle is a 2 dimensional plane shape that is bounded by a curve. Its area can be determined by;
area of a circle = [tex]\pi r^{2}[/tex]
where r is the value of the radius of the circle.
The radius of a circle is given as the half of its diameter.
Thus, a quarter of a circle is the 4th part of a given circle. This implies of fraction selected when a circle is divided into 4 equal part.
So that;
area of quarter of a circle = area of a circle/ 4
= [tex]\pi r^{2}[/tex]/ 4
The area of quarter of then given circle = ((22/7)*(10)^2)/ 4
= 78.50 squared centimeters
Therefore, the answer to the area of the quarter circle was found as explained above.
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What are the zeros of the quadratic 3(x+4)(x − 12) = 0?
Answer:
-4 and 12 are the zeros of the quadratic.
Step-by-step explanation:
What value does X need to be so (x+4) is 0? -4
What value does X need to be so (x-12) is 0? 12
Pleaseeee help asapppppp
Simplifying
0.75x + 1.2 = 0
Reorder the terms:
1.2 + 0.75x = 0
Solving
1.2 + 0.75x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.2' to each side of the equation.
1.2 + -1.2 + 0.75x = 0 + -1.2
Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 0.75x = 0 + -1.2
0.75x = 0 + -1.2
Combine like terms: 0 + -1.2 = -1.2
0.75x = -1.2
Divide each side by '0.75'.
x = -1.6
Karen made 5 less than 4 times the number of free
throws that Kimi made. Write an expression in
simplest form that represents the total number of free
throws made by both players.
I don’t understand how to get my answer
answer:
5x-5
step-by-step explanation:
from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!
prove that the value of the expression does not depend on the value of x. (x-5)(x+8)-(x+4)(x-1)
The value of the expression is -44 and thus does not depend on the value of x
What are algebraic expressions?An algebraic expression can be described as a mathematical expression made up of variables, terms, factors, coefficients and constants.
They are also made up of mathematical or arithmetic operations, which includes;
MultiplicationSubtractionAdditionBracketParenthesesDivision, etcFrom the information given, we have that;
(x-5)(x+8)-(x+4)(x-1)
expand the bracket
x² + 8x - 5x - 40 - (x² -x + 4x - 4)
x² + 8x - 5x - 40 - x² + x - 4x + 4
collect like terms
3x - 3x - 40 - 4
add or subtract like terms
0 - 44
Hence, the expression does not depend o x
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Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related ?
O The locations of A' and B' are A' (0, 2) and B' (6, 0); lines f and f' intersect at point A.
O The locations of A' and B' are A' (0, 6) and B' (2, 0); lines f and f' intersect at point B.
O The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
O The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
To explain this using a formula, we can use the dilation formula. This formula states that for any point (x,y) on the original line (f), when dilated with a scale factor of k and the center of dilation is the origin (0,0), the coordinates of the point on the new line (f') would be (kx, ky).
For point A, which has coordinates (2,0) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point A' on line f' would be (3 * 2, 3 * 0) = (6, 0).
Similarly, for point B, which has coordinates (0,2) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point B' on line f' would be (3 * 0, 3 * 2) = (0, 6).
Since the two lines have the same slope, line f and line f' are parallel.
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A triangle ha an area of 142. 74 quare feet and a height of 18. 3 feet. What i the length of the bae?
A triangle having an area of 142. 74 ft^2 and a height of 18. 3 ft, has a base of 15.6 ft.
What is the area of a triangle?
In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.
The area of the triangle is 142.74 ft^2.
The height of the triangle is 18.3 ft.
Let the base of the triangle be x.
The formula for area of a triangle is -
Area = (height × base)/2
Plugging in the values in the equation -
142.74 = (18.3 × x)/2
142.74 = 18.3x/2
18.3x = 285.48
x = 285.48/18.3
x = 15.6
Therefore, the base of the triangle measures 15.6 ft.
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The game starts at 1830. They play four eight minute quarters, and half-time lasts for thirty minutes. What time should you tell your parents to pick you up? Give your answer in both 12 and 24 hour clock notation
Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.
What is time?the idea that time was the fourth dimension and that space and time were therefore inseparably connected. According to his general theory of relativity (opens in new tab), the mass and momentum of adjacent matter influence how much space-time enlarges and compresses.
Here,
Given : The game starts at 18:30
Thus,
They play for eight minutes quarters and half time last for 30 minutes.
So,
To find the time to pick up by your parents:
=> 8*4 + 30
=> 32 + 30
=> 62
Thus time after 62 minutes is 7:32
Therefore , the solution to the given problem of time comes out to be the time to pick up by your parents is 7:32.
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Which situation results in a final value of zero?
Answer:
The total profit made when a person buys an item for $2.25 and then sells the item for $2.25.
Step-by-step explanation:
The item is bought for $2.25 and sold for the same rate. There is no profit.
Final value is 0.
What is the value of x? (HINT: find the sum of the
interior angles of the pentagon first)
Answer:
(2x+10°) + (x°) +(2x-20°) = 540°
540 is the sum angle of the polygon
collect like terms
2x+x+2x+10°-20°=540°
5x-10°=540°
5x=540°+10°
5x=550°
x=550°/5
x=110°
(2(110)+10)+(110)+(2(110)-20)=540°
Compute $17^{-1}\pmod{83}$. Express your answer as a residue from $0$ to $82$, inclusive.(You may find it helpful to consider the fact that $17\cdot 5
The residue from $0 to $82 is 44 ≡ x(mod83)
17−1≡x(mod83)
17∗17−1≡17x(mod83)
5∗1≡5∗17=85(mod83)
5≡2x(mod83)
42∗5=210≡2∗42x=84x≡x(mod83)
44 ≡ x(mod83).
A mathematical operations that performs a calculation on two numbers is known as an arithmetic provider. They are used in everyday arithmetic, and most computer languages include a set of such operators that can be used within equations to perform a variety of sequential calculations. The following are examples of basic arithmetic operations are:
(+) Addition
Subtraction (-) (-)
() Multiplication
() division
In programming, computers use different symbols to represent multiplication (*) and division (/). More complex operators, such as
Let's look at an ice cream multiplication example.
There are two groups, each has its own ice cream.
The total number of ice creams is 2x3=6
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cam someone please help me with this I don't know how it has to be reflection translation rotation pre image (By the way I said it out of order)
Answer:
it looks like a reflection or translation but my gut is saying translation
2x+2y=-6 what is it solved into a y=Mx+b
The equation 2x + 2y = -6 in the form of y = mx + b is y = -x - 3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
2x + 2y = -6
Subtract 2x on both sides.
2y = -6 - 2x
Divide both sides by 2.
y = -3 - x
y = -x - 3
This is in the form of y = mx + b
Now,
m = -1 and b = -3.
Thus,
y = -x - 3 is the equation.
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Help! What’s the expression of m more than 2
Answer:
2 + m
Step-by-step explanation:
150% ×_____ = $6.75 find the unknown
Answer:
The answer is $4.50.
Step-by-step explanation:
To solve this problem, divide the result ($6.75) by the percentage (150%). This gives you the original number which was multiplied by the percentage. So,
$6.75 / 150% = $4.50.
Answer:
$4.50
Step-by-step explanation:
150% × □ = $6.75
First, we can rewrite 150% as the fraction 3/2.
[tex]\dfrac{3}{2} \times \square = \$ 6.75[/tex]
Then, we can also rewrite 6.75 as the fraction 27/4.
[tex]\dfrac{3}{2} \times \square = \$ \, \dfrac{27}{4}[/tex]
Next, we can isolate the unknown by multiplying both sides by 2/3 (the reciprocal of 3/2).
[tex]\left(\dfrac{2}{3} \right)\left(\dfrac{3}{2} \times \square \right) = \left(\$ \, \dfrac{27}{4}\right)\left(\dfrac{2}{3} \right)[/tex]
After that, simplify by multiplying out the numerators and denominators on the right side of the equation.
[tex]\square = \$ \, \dfrac{27 \times 2}{4 \times 3}[/tex]
[tex]\square = \$ \, \dfrac{54}{12}[/tex]
Finally, simplify the expression on the right side to a decimal form.
[tex]\square = \$ \, \dfrac{54 \div 2}{12 \div 2}[/tex]
[tex]\square = \$ \, \dfrac{27 \div 3}{6 \div 3}[/tex]
[tex]\square = \$ \, \dfrac{9}{2}[/tex]
[tex]\square = \$ 4.50[/tex]
What does r equal?
Answer: r = ________
Answer:
[tex]r=\sqrt{\frac{3V}{\pi h} }[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{3} \pi r^2h[/tex]
Lets solve for [tex]r[/tex].
Multiply both sides of the equation by 3.
[tex]3V=\pi r^2h[/tex]
Divide both sides of the equation by [tex]\pi h[/tex].
[tex]\frac{3V}{\pi h} =r^2[/tex]
Take the square root of both sides.
[tex]\sqrt{\frac{3V}{\pi h} } =r[/tex]
What is Y + 4 = 3x + (-5) as a y = mx + b equation??
What are polynomials and its different types explain with examples?
Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.
A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.
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How do you draw an acute angled isosceles triangle?
Answer:
To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.
Step-by-step explanation:
Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.
Put the letters into the correct order to make worlds. Then match them to the definitions
oiffce psorin hlostipa ctotgae fcatyor gtues-hsoue
1. A room or building where people work at desks……..
2. A small hotel that is not very expensive………
3. A building where people are sent if they have committed a crime……..
4. A building where people go if they ill……..
5. A building where people make things, often using machines………
6. A small attractive house in the country……….
*************
1. A: Excuse me, can you tell me (1) the way to how far for the station?
B: Yes, sure. (2) Take/Turn left at the traffic lights and you'll see the station (3) in front / by
front of you.
2. A: Excuse me, (4) is it far / can you direct to the museum?
B: No. Just go (5) straight off / straight on for about half a kilometre and the museum is
(6) on / at your right.
Answer:
Step-by-step explanation:
Consider the triangle to the right. a. Write an equation that can be used to find the value of y b. What is mZK? a. Write the equation below. (Do not simplify. Do not combine like terms.) K L (5y - 19)˚. M COLELER
The value of y is 15 and angle is 68°
What is a triangle?A triangle is a polygon with three edges and three vertices.
Given that, a triangle KLM
We have, KL = MK
We know that, In a triangle, sides opposite to equal angles are equal, therefore,
∠ M ≅ ∠ L
5y-19 = 56
5y = 75
y = 15
We know, Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
∠ M + ∠ L + ∠ K = 180°
56° + 56° + ∠ K = 180°
∠ K = 180° - 112°
∠ K = 68°
Hence, the answers are; ∠ K = 68° and y = 15
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Lori's bookcase has 5 mystery novels and 8 romance novels. She randomly picks out 2 mysteries and 3 romances. How many different sets of 5 novels could Lori pick out?
Answer:
I would say 6 sets
Step-by-step explanation:
Mystery = 5 | Romance = 8
0 5
1 4
2 3
3 2
4 1
5 0
each time she picks out 5 novels. There is only 5 mystery novels so you cant go past that
....but that's just me personally
Answer:
Step-by-step explanation:
560
Which of the following 3 lengths can be combined to form a right triangle?
A. a = 1, b = 2, c = 3
B. a = 7, b = 12, c = 13
C. a = 9, b = 20, c = 21
D. a = 8, b = 15, c = 17
The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The Pythagoras theorem formula is given as
H² = P² + B²
If the Pythagoras theorem is satisfied then the dimension is the dimension of the right triangle.
Let's check option D, then we have
17² = 8² + 15²
289 = 64 + 225
289 = 289
The 3 lengths that can be combined to form a right triangle will be 8, 15, and 17. Then the correct option is D.
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make a the subject
2a+9b=4c
Answer:
This equation involves three variables: a, b, and c. Each variable is multiplied by a coefficient and then added together to equal a constant. To solve the equation, we must first determine what the value of the three variables are. To do this, we must use the coefficients to isolate each variable. We can start by isolating c. Divide both sides of the equation by 4 to get 2a + 9b = c. Now we can isolate b by subtracting 2a from both sides to get 9b = c - 2a. Divide both sides by 9 to get b = (c - 2a)/9. Finally, we can isolate a by subtracting 9b from both sides to get 2a = 4c - 9b. Divide both sides by 2 to get a = (4c - 9b)/2. Once we have the values of the three variables, we can substitute them into the original equation to check our work.
Step-by-step explanation:
Answer:
a=\frac{4c-9b}{2}
hat is the product of the least common multiple and the greatest common factor of $22$ and $48$?
Answer:
1056
Step-by-step explanation:
You want the product of the LCM and the GCF of 22 and 48.
ProductOne way to find the LCM of two numbers is to start with their product, then divide out the extra factor:
LCM(A, B) = (A×B)/GCF(A, B)
Since we want the product of the LCM and the GCF, we can start with this and multiply by the GCF:
LCM(A, B) · GCF(A, B) = ((A×B)/GCF(A, B)) · GCF(A, B)
LCM(A, B) · GCF(A, B) = A×B
Using this for the given numbers, we get ...
LCM(22, 48)·GCF(22, 48) = 22·48 = 1056
__
Additional comment
If you want to go to the trouble of finding the LCM and GCF, you get ...
22 = 2·11
48 = 2·24
LCM(22, 48) = 2·11·24 = 528
GCF(22, 48) = 2
LCM·GCF = 2·528 = 1056
In the model, a hundreds grid represents 1 whole. Which decimal is represented by the shaded portion of the model?
The decimal that is represented by the shaded portion of the model is 0.45
How can we express numbers belonging to decimal numeral system?Suppose that the number is abcd.efg and belongs to the decimal numerical system.
Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.
Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.
We are given In the model, a hundreds grid represents 1 whole.
Since 45 out of the 100 squares are shaded,
This means the fraction would be 45/100
45/100 = 0.45.
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Meada scored 24 points. If this was 4 less than the number
of points scored Jill scored, how many points did Jill score?
Define a variable. Then write an equation that could be
used to solve the problem.
Answer:
the answer is 28
Step-by-step explanation:
Maeda scored 24 points and if 4 less then jill
x is variable
x-4=24 add 4 on both sides
x=28
L)
express the given in terms os sin x or cos x
sin ( 4pi - x )
how
The value of sin(4π-x) is -sinx
What are trigonometric functions?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Given that, express the given in terms of sinx or cosx sin (4π-x)
sin(4π-x) = sin(2π+2π-x)
We know, that, sin(a+b) = sina·cosb+sinb·cosa
Here, a = 2π and b = 2π-x
Therefore,
sin(2π+2π-x) = sin2πcos(2π-x)+sin(2π-x)cos2π
Now, sin2π = 0 and cos(2π) = 1
Therefore,
sin2πcos(2π-x)+sin(2π-x)cos2π
= sin(2π-x)
As we know that, sin(2π-x) = -sinx
Hence, sin(4π-x) = -sinx
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