When two expressions are joined by an equal sign, a mathematical statement is called an equation.
What is meant by equation?When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable. Expressions that equal one another are the building blocks of an equation. There is an equation: 4x2+3x = 22. A formula is an equation that has at least two variables and depicts the relationship between them. Molecular, structural, projection formulas, as well as empirical forms, are frequently used. Symbols for the components that make up a compound, like Na for sodium and Cl for chlorine, are used in empirical formulas, together with subscripts that show how many atoms are present in each constituent element.Let h be the number of hours for which the two costs would be the same.
PP charges $2220 + ($45/hr)*h
D&S charges $1850 + ($65/hr)*h
Note that the ($/hr)*hours gives $, because hours cancel out
Set the expression equal and solve for h (this is called the "break even point"):
2200 + 45h = 1850 + 65h
370 = 20h (subtract 1850 from both sides)
18,5 = h
At 18.5 hours, the companies would charge the same amount.
18 1/2 hours is 18 hours 30 minutes.
The complete question is,
Write and solve an equation to determine the number of hours for which the two costs would be the same.
Ms. Silver wants to hire a painter to paint her house. Painters Plus charges $2,220 plus $45 per hours. Davis & Sons charges $1,850 plus $65 per hour. Write and solve an equation to determine the number of hours for which the two costs would be the same.
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!15 POINTS!
For questions 1-2 add or subtract the equations
1. 7x - y = -1 PLUS -7x + 3y = -25
2. 7x - y = -1 MINUS (7x + 3y = -25)
The solutions to both simultaneous equations are;
1) x = -2 and y = -13
2) x = -1 and y = -6
How to find the solution to simultaneous equations?Simultaneous equations are defined as two or more algebraic equations that share variables e.g. x and y
1) The simultaneous equations we have are;
7x - y = -1
-7x + 3y = -25
Using elimination method, add both equations to get;
2y = -26
divide both sides by 2 to get;
y = -13
7x - (-13) = -1
7x + 13 = -1
7x = -14
x = -2
2) The simultaneous equations we have are;
7x - y = -1
7x + 3y = -25
Using elimination method, subtract eq 1 from eq 2 to get;
4y = -24
divide both sides by 4 to get;
y = -6
7x - (-6) = -1
7x + 6 = -1
7x = -7
x = -1
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how many inches are in 134 miles? arrange these equalities and then solve the problem. not all the cards will be used.
The number of inches in 134 miles is 8,490,240.
Inches and miles are the units that can be used for calculating the length and distance respectively. Generally inches are used to represent small lengths while miles represents long distances. If we relate the two units, the relationship will be -
1 mile = 63,360 inches
So, calculating inches in mentioned number of miles.
134 miles = 63,360 × 134
Performing multiplication on Right Hand Side of the equation
134 miles = 8,490,240 inches
Thus, the representation in inches will be 8,490,240 inches.
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ginger wants to join a gym she goes to the local gym and is told that there is a one time fee of 100$ to join and then a monthly fee of 30$ write an agebraic expression to represent the total cost of joining the gym using "m" as a variable
The expression to represent the total cost of joining the gym using m as a variable is 100 + 30m.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Local gym:
one time fee = $100
Monthly fee = $30
The total cost for m months.
= 100 + 30m
Thus,
The total cost for m months is 100 + 30m.
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5 2/3 + 7 5/9 I really do not know the awnser !!!!!
Answer: 13 2/9 or 13.23
Step-by-step explanation:
5 2/3 + 7 5/9 = 119/9= 13 2/9
1. a number x divided by 7
Answer:
1/7
Step-by-step explanation:
A number is 1/7 of another number the sum of the number is 24
Answer:
3
Step-by-step explanation:
y=7x
x+y=24
x+7x=24
8x=24
x=3
mark brainliest
i think this may be easy for yall but
Can you find the area of this triangle?
Hi! This looks like homework...
so I can help!
What you would need to do first is find the height of the triangle, you know, the dashed line. 15 is the hypotenuse side length. Now we need to solve for a^2 + b^2 = c^2 (hypotenuse formula) a^2 = 10^2, and c^2 = 15^2. So now..
if a^2 + b^2 = c^2, then c^2 - a^2 = b^2. Just moving stuff around. :D
That would be 15^2 - 10^2 = b^2, which is 225 - 100 = b^2. The result is 125 = b^2.
ehaggghh it's a decimal
b^2 is 125... and b is 11.1803398875. So I can see a snippet of your paper that says round to the nearest tenth. Yay.
that would be 11.2. :>
The height is 11.2!! So now... oh noes you have to do it again.
Except this time, you're solving for a^2!
Switch the formula like this: c^2 - b^2 = a^2
13^2 - 11.2^2 = a^2 (base)
43.56 = a^2
6.6 = a
So now, the base is 6.6 + 10, which is 16.6 in total. 13 and 15 are the two side lengths. But you don't need those. You only need the height, 11.2. So multiply 16.6 x 11.2, and you get 185.92, or 185.9. Then divide that by two, since it's a triangle, not a square. That's 92.96. Yay you have the area!
Hypotenuse formula: a^2 + b^2 = c^2
Use this if you don't have the given height, so you can solve for it. The dashed line separated the triangle into two parts, so you could find the needed sides of both triangles. Later, when you get into triangle proofs, you could use the "by construction" postulate to be able to find the similarity or congruence done here.
Have a good day!
let d be the difference in the number of puzzles solved by two randomly selected subjects in a five-minute period. what's the standard deviation
The standard deviation of d is 1.27, which is the measure of the variability of a set of data. It tells us how much variation or dispersion exists from the average or mean value.
In other words, it reveals the degree to which the data points deviate from the mean. In this instance, the standard deviation of 1.27 means that, on average, the number of puzzles solved in a 5-minute period by two randomly selected participants differs by 1.27 puzzles. Accordingly, the majority of individuals ought to deviate by an amount that is within 1.27 puzzles of the mean.
Additionally, this implies that some subjects will have differences larger than 1.27 and some lower. We may quantify the level of variability in a data set using the standard deviation, which is a useful measure of variability.
Your question is incomplete but most probably your full question was A psychologist studied the number of puzzles that subjects were able to solve in a 5-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by randomly chosen subject. The psychologist found that X had the following probability distribution_ Value Probability 0.2 0.4 0.3 0.1 Let D be the difference in the number of puzzles solved by two randomly selected subjects in a 5-minute period. What is the standard deviation of D? 0.81 1.8 1.27
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5. A tree planted today has a height of 5 feet and grows one foot each month.
Is the height of the tree a function of the number of months? If so, is it a linear or a
nonlinear function? Explain your reasoning.
Yes, the height of the tree is a function of the number of months and it is a linear function x = 5 + n.
In Mathematics, a linear function is described as a function that has either one or two variables without exponents. It is a function that has a graph in a straight line. In case, if the function includes more variables, then the variables should be constant, or it might be the known variables for the function to remain in the same linear function condition.
Height of tree = 5 ft
Grow per month = 1 ft
Assume;
The new height of the tree = x
Number of months = n
x = 5 + 1(n)
x = 5 + n
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suppose that such a system happens to be consistent. explain why there must be an infinite number of solutions.
If the system is consistent, then the equations must be simultaneously solvable, meaning that there is at least one solution. However, it is possible that there are multiple solutions.
If the system is consistent, then there must be an infinite number of solutions. This is because if a system is consistent, then any values that satisfy the equations can be a valid solution. Therefore, if there is at least one solution, then there must be an infinite number of solutions since there are an infinite number of values that can satisfy the equations.
Furthermore, if the system is consistent, then the equations do not contradict each other and therefore can be solved with any combination of values. Therefore, the system must have an infinite number of solutions.
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Li-mei thinks she can save money on electricity by changing all her bulbs from incandescent bulbs to fluorescent bulbs. Based on the following energy cost table, how much can she save each year if she replaces 8 bulbs?.
She can save $432 each year.
Now, According to the question:
Li-Mei thinks she can save money on electricity by changing all her bulbs from incandescent bulbs to fluorescent bulbs.
Incandescent bulb - 150 hours monthly use $.05 per hour Fluorescent bulb - 150 hours monthly use $.02 per hour.
We have to following statement.
Incandescent: 0.05 × 150 × 12 × 8=720
Fluorescent: .02 × 150 × 12 × 8=288
720-288=$432 less per year
Hence, She can save $432 each year.
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The complete question is this:
Li-Mei thinks she can save money on electricity by changing all her bulbs from incandescent bulbs to fluorescent bulbs. Based on the following energy cost table, how much can she save each year if she replaces 8 bulbs? Incandescent bulb - 150 hours monthly use $.05 per hour Fluorescent bulb - 150 hours monthly use $.02 per hour
How do you find the equation of a logarithmic graph?
The equation y=logb(x+h)+k shifts the logarithmic function, y=logb(x), by k units vertically and h units horizontally.
What is equation of a logarithmic function?
Generally speaking, the formula logbn = an is equal to the formula ba = n. In other words, the result you get when you raise b to the power of an is n, where the base is b, the exponent is a, and the exponent is the exponent. You'll see that an expression highlights its power when written in exponential form, whereas it emphasises its exponent when written in logarithmic form.
According to question:Any function's inverse function graph is a mirror of the function's graph around the line y=x.
The equation y=logb(x+h)+k shifts the logarithmic function, y=logb(x), by k units vertically and h units horizontally.
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In Hoop Fever, a player has 60 seconds to make as many baskets as possible. Morgan and Tim play head-to-head every Tuesday. Let M = the number of baskets made by Morgan and T= the number of baskets made by Tim in a randomly selected match. Based on previous matches, we know that ow = 5.7 and or = 10.3. Assume that these two random variables are independent. Define D= M - T. Earlier, we found that up = 8.6. Calculate and interpret the standard deviation of D.
The standard deviation of D= M - T is the measure of the spread of the distribution of D. It is calculated by subtracting the mean of D (uD = 8.6) from each observed value of D and then squaring the result.
The variance is then calculated by summing up all of these squared deviations and dividing by the number of observations. The standard deviation is simply the square root of the variance. In this case, the standard deviation of D is 9.5.
This means that the spread of the values of D is 9.5, which means that Morgan and Tim’s scores are spread out over a range of 19 points. This implies that when Morgan and Tim play Hoop Fever, the difference between their scores is usually around 8.6 points, but on occasion can be much higher or lower.
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j (-3 7) and k (4 -2) are endpoints for a line segment find the coordinates of the midpoint m. find the distance between the endpoints of jk
Given points for a line two points j and k
Point j=(-3,7) and point k=(4,-2)
For find the mid point between two points
Formula for midpoint m(X,Y)= [tex](\frac{x_{1} +x_{2} }2,\frac{y_{1} +y_{2}}2)[/tex]
m=[tex](\frac{-3+4}{2} ,\frac{7-2}{2} )[/tex]
m=[tex](\frac{1}{2} ,\frac{5}{2} )[/tex]
Therefore ,the mid point of j and k points are m=[tex](\frac{1}{2} ,\frac{5}{2} )[/tex]
For find the distance between two points
Formula distance=[tex]\sqrt{( y_{2}-y_{1})^{2}+ ( x_{2}-x_{1})^{2} }[/tex]
Distance of jk=[tex]\sqrt{( -2-7)^{2}+ ( 4-(-3))^{2} }[/tex]
Distance of jk =[tex]\sqrt{( -2-7)^{2}+ ( 4+3))^{2} }[/tex]
Distance of jk=[tex]\sqrt{( -9)^{2}+ ( 7))^{2} }[/tex]
Distance of jk =[tex]\sqrt{81+ 49 }[/tex]
Distance of jk=[tex]\sqrt{130\\}[/tex]
Therefore, the distance between the endpoints of jk is [tex]\sqrt{130}[/tex]
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200 decreased by 30%
200 decreased by 30% is 140 for the given question.
What is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%". For example, 45% can be written as 0.45 or 45/100. Percentage is used to express how large or small one quantity is relative to another quantity. For example, if a student scores 45 out of 50 on a test, the student's score can be expressed as a percentage by dividing 45 by 50 and then multiplying by 100, which equals 90%.
Given data,
200
It decreased the price the price by 30%.
=30/100*200
=0.3*200
=60
= 200-60
=140.
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What is the slope of the line?
m
Answer: 1/3
Step-by-step explanation: In order to find the slope, you need two points.
(0, 2) and (3, 3). To find the slope, you need to use
Difference of Y values
---------------------------------
Difference of X values
3 - 2 / 3 - 0
1/3
Answer: Slope = 1/3 or .333
Step-by-step explanation:
Resources:
Desmos Calculator
Math Consultant
Options
1.no
2. Horizontal and vertical
3. Vertical
4.horizontal
The Ying-yang symbol has rotational symmetry, the flag has radial symmetry, and the three-leg figure has radial symmetry.
What is symmetry?The word symmetry refers to the characteristic of figures being the same in terms of proportion and shape.
What are the types of symmetry?Bilateral symmetry: This means the two sides of a shape are the same.
Radial symmetry: This implies that there are symmetric sections if lines are drawn from the radius or center.
Rotational symmetry: This implies two sides are the same but they are rotated.
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What is the equation of the line with slope 3 and y-intercept 6?
The equation of line with slope 3 and y-intercept 6 is y = 3x + 6.
In the given question, we have to find the equation of the line with slope 3 and y-intercept 6.
The slope-intercept version of the line's equation is what we need. In other words, we want y=mx+b in the form of ax+by=c. M is the slope and b is the y-intercept in the slope-intercept form.
From the given question, m = 3 and c = 6.
Now putting the value in the equation y = mx +c
y = 3x + 6
Hence, the equation of the line with slope 3 and y-intercept 6 is y = 3x + 6.
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REASONING You borrow bookcases like the one shown to display 943 books at a book sale. You plan to put 22 books on each shelf. No books will be on top of the bookcases.
A drawing of a bookcase, with 5 shelves.
a. How many bookcases must you borrow to display all the books?
You need
bookcases.
b. You fill the shelves of each bookcase in order, starting with the top shelf. How many books are on each shelf of the last bookcase?
Top shelf:
books
Second shelf:
books
Third shelf:
books
Fourth shelf:
books
Bottom shelf:
books
For a book sale, you rent bookcases like the one in the picture to exhibit 943 volumes. On each shelf, you intend to place 22 books. The tops of the bookcases won't contain any books. 19 shelves, 9 bookcases, and.
How many bookcases to you borrow to display the books?It is necessary for you to borrow nine bookcases in order to display all of the books.
42.91 / 22 = 42.9 / 43 shelves.
43/5 = 8.6 + 1 = 9 bookcases.
Nineteen volumes will be on the third shelf of the final bookcase. Deductive, inductive, abductive, and analogous reasoning will be the four types of reasoning we will be concentrating on in this article.
Analytical and logical reasoning problems make up the two main categories of reasoning tests. There are two subcategories of logical reasoning: verbal and nonverbal. Fixing issues Candidates will be given a variety of questions in the logical reasoning section of the test, and they will need to conduct a variety of operations, such as addition, division, greater than, less than, etc., are interchanged or substituted to discover the right answer.
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PLS HELP IT IS DUE TOMORROW!!! PLSSS
Answer:
System A to System B
Option 3 and the answer in the box is [tex]\boxed{-2}[/tex]
System B to System C
Option 4 and the answer in the box is [tex]\boxed{-2}[/tex]
Step-by-step explanation:
Only showing work for correct options:
System A to System B
Correct choice: Option 3 with -2 as multiplier
[tex]\bold{-2}[/tex] x Equation [A1] :
[tex]\implies -2(-7x + 2y = 13)\\\\\implies 14x - 4y = -26\\[/tex]
[tex]\bold{-2}[/tex] x Equation [A1] + Equation [A2]
[tex]14x - 4y = -26 + (-8x +5y = 4)\\\\14x -8x -4y +5y = -26 + 4\\\\6x + y = -22\\\\\textrm{This is equation B2}[/tex]
-----------------------------------------------------------------------------------------
System B to System A
Correct choice: Option 4 with [tex]\boxed{-2}[/tex] as multiplier
[tex]\bold{-2}[/tex] x Equation [B2]:
[tex]\implies -2(6x + y = -22)\\\\\implies -12x -2y = 44\\\\[/tex]
[tex]\bold{-2}[/tex] x Equation [B2] + Equation [B1]:
[tex]-12x -2y = 44 + (-7x + 2y = 13)\\\\\implies -12x -7x -2y + 2y = 44 + 13\\\\-19x = 57\\\\[/tex]
A bakery makes the same number of cupcakes each hour, as shown on the graph below.
What does the point (2, 40) represent on the graph?
A.
40 cupcakes made in 2 hours
B.
2 cupcakes made in 40 days
C.
40 cupcakes made in 2 days
D.
2 cupcakes made in 40 hours
Find the measure of the arc or angle indicated. Assume that lines which
appear tangent are tangent.
W
850
1450
T
A) 40°
C) 30°
B) 44°
D) 38°
The measure of arc or the angle indicated in the following questions where lines that appears are tangents is given by :
a. Measure of the external angle is equal to 60°.
b. The angle subtended by the given arc VS is equal to 121°.
As given in the question,
Diagram is attached.
In the given arc and tangents formed by the circle ,
Half of the difference of the angle subtended by the arc of a circle is equal to the measure of the external angle.
a. Measure of external angle ∠C = x°
Measure of the angles subtended by the arc are :
Major arc angle = 161° and Minor arc angle = 41°
x° = ( 161° - 41° ) / 2
⇒ x° = 60°
Measure of ∠C = 60°
b. Measure of external angle =31°
Measure of the angles subtended by the minor arc = 59°
Measure of the angles subtended by the major arc = y°
( y° - 59° ) / 2 = 31°
⇒ y° =( 62 + 59 )°
⇒ y° = 121°
Therefore, the measure of the arc or the angle indicated is given by :
a. Measure of the external angle is equal to 60°.
b. The angle subtended by the given arc VS is equal to 121°.
The above question is incomplete , the complete question is:
Find the measure of the arc or angle indicated. Assume that lines which
appear tangent are tangent.
Diagram is attached.
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Please help i need this done like within at least an hour
Answer:
2.475
Step-by-step explanation:
12 divide into 29.7 goes 2.475 times
use the illustration from the other example and you should be able to do it
12 into 29 goes twice
subtract 29-24 to get 5
bring down the 7 to get 57
12 into 57 goes four times
57-48 = 9
bring down a zero to get 90
12 into 90 goes seven times
90-84 = 6
12 into 60 is 5
18÷29.70= 0.40
that should be right
dimensionless analysis is base on: question 2 options: a) froude numbers b) pi buckingham theorem c) reynolds numbers d) none of the above
Froude numbers are used to compare the inertial force to the gravitational force, allowing for dimensionless analysis.
(Option A) Froude numbersUtilizing Froude Numbers for Dimensionless AnalysisFroude numbers are used to compare the inertial force to the gravitational force, allowing for dimensionless analysis. In this way, the same model can be used to represent different real-world systems, as the parameters that affect the performance of the model can be scaled up or down. This type of analysis allows for the study of a wide range of physical phenomena, from the motion of ships and aircraft to the flow of fluids through pipes and valves.
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What is the value of log 7 base 10?
The value of log7 base 10 is 0.84509804.The logarithm of a number is the exponent to which another fixed number (in this case 10) must be raised to produce that number.
The logarithm of a number is the exponent to which another fixed number (in this case 10) must be raised to produce that number. So to find the logarithm of 7 base 10, we must find the exponent to which 10 must be raised to produce 7. This can be solved using a calculator by taking the logarithm of 7 (log 7) and setting the base to 10 (log 10). The answer is 0.84509804. This means that 10 must be raised to the power of 0.84509804 to produce 7.
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What is AC?
Enter your answer in the box.
AC =
-
units
A
4x + 4
A
6x - 14
B
2x + 7
C
Answer:
40 units
Step-by-step explanation:
AB = AC as the opposite angles are equal.
4x + 4 = 6x - 14
2x = 18
x = 9 units
Therfore, AC = 6 x 9 - 14 = 54 - 14 = 40 units
A grain bin has a radius of 20 feet. Calculate the approximate distance the grain bin. Use 3.14 for n
The circumference of the grain bin with radius 20 feet is 125.6ft.
What is the distance around the boundary of the grain bin?The distance around the boundary of a circular object is referred to as a circumference.
The formula for calculating circumference is expressed as;
C = 2 × π × r
Given the data in the question;
Radius r = 20 feetPi π = 3.14Circumference C = ?Plug in the given values into the above formula
C = 2 × π × r
C = 2 × 3.14 × 20ft
C = 125.6ft
Therefore, the circumference is 125.6ft.
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How do you simplify the quotient?
Dividend ÷ Divisor = Quotient and Remainder
When a dividend is divided by a divisor, we get the value of the quotient in the result.
The result of dividing one integer by another is the quotient. For example, in 8 ÷4 = 2, the division result is 2, hence the quotient is 2. The dividend is eight, while the divisor is four.
The derivative of a quotient is the denominator times the numerator's derivative minus the numerator times the denominator's derivative, all divided by the denominator's square, according to the Quotient Rule.
When dividing one exponential equation by another, we use this rule. We must subtract the exponent in the denominator from the exponent in the numerator using the quotient formula, but the bases must be the same.
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What is the derivative of log7 X?
Derivative of given logarithmic function [tex]log_7x[/tex] is [tex]\frac{1}{xlog(7)}[/tex].
Logarithmic differentiation is a method for figuring out the derivatives of some difficult functions. In some cases, it is simpler to distinguish between a function's logarithm and function itself. The derivatives are made simple with the right application of logarithm characteristics and chain rule discovery. Nearly any non-zero functions with differentiable nature can be applied with this approach.
Thus, in calculus, some complex functions are differentiated by calculating logarithms, and these complex functions are subsequently solved using the logarithmic derivative.
[tex]y=log_7x[/tex]
[tex]y'=\frac{1}{xlog(7)}[/tex]
Here, differentiation of logarithmic function for different base is different.
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A plant measures x inches this week, and had grown 8 times as the height from last week. 45 points
Answer: the plant has grown 8x inches
Step-by-step explanation:
The plant has grown 8 times more than it's height last week so,
8 x [tex]x[/tex] = 8x
Answer:
8x
Step-by-step explanation:
Plant inches: x
Amount it has grown: 8 times x (original height)
8 times x
simplify as
8x