The property of the equality is a method to perform a operation both sides of the equal sign which will not affect the equation. Property of equality which is needed to isolate a variable and solve a given equation is use inverse relationships to "undo" the operation. Thus the option A is the correct option.
Property of equality
The property of the equality is a method to perform a operation both sides of the equal sign which will not affect the equation.
Inverse means to revere something which has been done earlier. An undo operation in mathematics is the operation of undoes what was done by the previous operation.
For example suppose the given expression is no 5. Then by adding 4 and again subtracting 4 keeps the system isolate.
Hence the property of equality which is needed to isolate a variable and solve a given equation is use inverse relationships to "undo" the operation. Thus the option A is the correct option.
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2+2+2+2+2+2+2+2+2+0+0+0+0+0+0
Answer:
18
Step-by-step explanation:
18
step by step explanation: you literally add them up
Work out an estimate for the mean time some people spent mowing their lawn
The mean time some people spent mowing their lawn is 1.01
Mean
Mean refers the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.
Given,
Here we have the table of data.
Now, we need to estimate for the mean time some people spent mowing their lawn.
According to the given problem, the mean is calculated for each time interval, then we get,
For the time period 0 ≤ t < 10, then the mean is,
=> 3/(3 + 11 + 14 + 2)
=> 3/30
=> 0.1
For the time period 10 ≤ t < 20, then the mean is,
=> 11/(3 + 11 + 14 + 2)
=> 11/30
=> 0.37
For the time period 20 ≤ t < 40, then the mean is,
=> 14/(3 + 11 + 14 + 2)
=> 14/30
=> 0.47
For the time period 40 ≤ t < 60, then the mean is,
=> 2/(3 + 11 + 14 + 2)
=> 2/30
=> 0.07
So, the mean time is obtained by adding the values,
=> (0.1 + 0.37 + 0.47 + 0.07)
=> 1.01
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please help
Given △ C AT ≅ △DOG, m∠C = 25° , and m∠O = 37° , what is the measure of ∠G?
enter your answer in the box.
m∠G = __°
Answer:
m∠G = 118°
Step-by-step explanation:
The congruence statement that says:
△CAT ≅ △DOG,
says not only that the triangles are the same shape and size, it also says //which// angles (and sides) are conguent.
Angle C and Angle D are the same. Angle A and Angle O are the same. And Angle T and Angle G are the same.
So in △CAT, Angle C is 25° and Angle A (same as O) is 37°.
Also, all the angles in a triangle add up to 180°.
25° + 37° + T = 180°
62° + T = 180°
T = 118°
And T corresponds to G, so AngleG is also 118°.
What is the degree of the polynomial? 3pq⁴-2p²q+q³
The degree of that polynomial is 5
What is the Degree of Polynomial?
The degree of polynomial is the highest degrees of individual term.
The first is to find each term.
The term is 3[tex]p[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q[/tex], and [tex]q^{3}[/tex] (or can also be written as 3[tex]p^{1}[/tex][tex]q^{4}[/tex], 2[tex]p^{2}[/tex][tex]q^{1}[/tex], and [tex]p^{0}[/tex][tex]q^{3}[/tex]
The next step is to add up the exponents for each term and select the highest result.
3[tex]p^{1}[/tex][tex]q^{4}[/tex] : 1+4 = 5
2[tex]p^{2}[/tex][tex]q^{1}[/tex] : 2+1 = 3
[tex]p^{0}[/tex][tex]q^{3}[/tex] : 0+3 = 3
Therefore the degree of polynomial is 5
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A rectangle is drawn so that the width is 5 feet shorter than the length. The area of the rectangle is 6 square feet. Find the length of the rectangle.
Answer:
Step-by-step explanation:
v1 v2
x1
- x2
Answer: 6, the answer is 6
Step-by-step explanation:
ANSWERS LESS THAN , GREATER THAN , SAME . PLEASE HELP WILL MARK BRAINLYEST IF YOU REMIND ME AND GIVE ME THE CORRECT ANSWER!!!!!
Answer:volume of pyramid is equal to the volume of prism
Step-by-step explanation:
(2.979 x 10^3) - (9.9 x 10^2)
Answer: -39.57
Step-by-step explanation:
Mark says that the expression 2+3 is a binomial since it had two terms. Layla says that it is a monomial since 2+3=5,and 5 is just one term. Who is correct
The given expression in monomial. 2+3 is a monomial as it will give 5 which has only one degree. Layla is correct
What is monomial?
When an expression has only one similar like term of all the terms are of same degree then it is known as Monomial. When there are two distinct terms then it is said to be binomial.
We Are given an expression 2+3
Now both the number 2 and 3 have degree 0
Hence we can add them directly hence it become 5 which again has a degree 0 only
Hence it is a monomial term
Therefore Layla is correct
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11 ) (−11,−11) with slope 5 5
Slope-intercept form:
y= 8/5x+3
Point-slope form:
y+5= 8/5 • (x+5)
Which functions have a horizontal asymptote? check all that apply.
Answer:
This is a incomplete questions.
Step-by-step explanation:
So, is there options or do you do a graph.
Feel free to ask
Answer:
B, C, and E for Edge
Step-by-step explanation:
did it and got it right lol :)
a) How many edges does a triangular-based pyramid have?
b)
How many faces does a triangular prism have?
c) How many vertices does a cuboid have?
Triangular pyramids contain four sides, six edges, and four vertices.
What is a pyramid?
A pyramid is a structure with triangular exterior surfaces that converge to a single step at the summit, giving the form the shape of a pyramid in the geometric sense. A pyramid's base can be cooperation agreement, quadrilateral, or any polygon form. As a result, a pyramid has at least three triangular surfaces on its outside (at least four faces including the base). A typical alternative is the squares pyramid, which has a square shape and four triangular exterior surfaces. The design of a pyramid, with the majority of the weight closer to the bottom and the select at the apex, means that less material will be pushed from above. This center of mass enabled early civilizations to build sturdy massive constructions.
Triangular pyramids contain four sides, six edges, and four vertices.
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Please help!!!
Write the compound inequality for the graph.
Answer:
-8 < x ≤ 0
Step-by-step explanation:Let's remember what open and closed circle mean:
Open Circle:
Less than ( < ) / Greater than ( > )
Closed Circle:
Greater than or equal to ( ≥ ) / Less than or equal to ( ≤ )
Now, let's review this graph:
Let's call this unknown value 'x'
Reading the graph left to right:
x is greater than -8, but is less than or equal to (Remember!! Closed circle!)
We can right this as:
-8 < x ≤ 0
And that is our answer! If your problem wants a different variable (y, z, q, etc) just put that in place of 'x'
Let me know if this helped!
Trey believes that 1/3 written as a decimal is the terminating decimal 0.3. Lilly believes that 1/3 written as a decimal is is the repeating decimal 0.33333…. Who is correct?, explain your reasoning.
Answer:
Lily is correct.
Step-by-step explanation:
Because 0.3 is out of a part that is split into 10 parts.
211 children went on a picnic. Each child drank 400 milliliters of pineapple juice. How many liters were consumed altogether?
84.4 liters were consumed.
Step-by-step explanation:211 x 400 = 84400
In total 84400 milliliters were consumed
1000 milliliters are in one liter
So that means 84.4 liters were consumed.
A teacher tells her students she is just over 1 and 1/2 billion seconds old.
A.) Right her age in seconds using scientific notation?
B.) How old is she in years?
Answer
47.56468797565 in years
Step-by-step explanation:
im not sure what her age is in seconds with scientific notation though sorry :(
What is the solution to the system of equations y 1 3x 10 2x y 4?.
The solution to the system of equations y = 1/3x - 10 and 2x + y = 4 is (6, -8).
What is the system of equations ?A system of equations is a collection of two or more equations with a same set of unknowns.
What is a Subsitution method ?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
The given system of linear equations are :
y = 1/3x - 10 and 2x + y = 4
On solving two equations by using substitution method, It is given that
[tex]y = \frac{1}{3}x-10[/tex] … (1)
2x + y = 4 … (2)
Substituting (1) in (2)
⇒ [tex]2x + (\frac{1}{3}x-10) = 4[/tex]
By further calculation
⇒ [tex]2x + \frac{1}{3}x - 10 = 4[/tex]
⇒ [tex]2x + \frac{1}{3} x = 4 + 10[/tex]
⇒ [tex]2x + \frac{1}{3} x = 14[/tex]
Taking LCM
⇒ [tex]\frac{(6+1)}{3}x = 14[/tex]
⇒ [tex]\frac{7}{3}x = 14[/tex]
By cross multiplication
⇒ 7x = 14 × 3
⇒ 7x = 42
Divide both sides by 7
⇒ x = 6
Substitute the value of x in equation (1)
[tex]\Rightarrow\ y = (\frac{1}{3} \times (6) - 10)[/tex]
So we get
⇒ y = (2-10)
⇒ y = -8
Therefore, the solution to the system of equations is (6, -8).
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All numbers that round to 400 when rounded to the nearest hundred
The table represents the amount of money in a bank account each month.
Month Balance ($)
1 3,600.00
2 2,880.00
3 2,304.00
4 1,843.20
5 1,474.56
What type of function represents the bank account as a function of time? Justify your answer.
This is a linear function because there is a common difference in the balance between the months.
This is a linear function because there is a common ratio in the balance between the months.
This is an exponential function because there is a common difference in the balance between the months.
This is an exponential function because there is a common ratio in the balance between the months.
The type of function that represents the bank account as a function of time is: this is an exponential function because there is a common ratio in the balance between the months.
How to determine the type of function?In order to determine the type of function that models or represents the bank account as a function of time, we would check whether or not there is a common difference or common ratio.
In Mathematics, a linear function is used to model a situation when there exist a constant or common difference between its consecutive terms. On the other hand, an exponential function there is used to model a situation when there exist a constant or common ratio between its consecutive terms.
For the common difference, we have:
d = 1,474.56 - 1,843.20 = -368.64
d = 1,843.20 - 2,304.00 = -460.8
Therefore, the bank account as a function of time is not a linear function.
For the common ratio, we have:
r = 1,474.56/1,843.20 = 0.8
r = 1,843.20/2,304.00 = 0.8
Therefore, the bank account as a function of time is an exponential function.
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Answer:
the bank account as a function of time is an exponential function.
Step-by-step explanation:
Find the equation of the line passing through the given point and parallel to the given line.
( 1 , 9), y = 4
(-1 ,-3), y= 2
(4, -6), y = -5
Answer:
y = 9, y = - 3 and y = - 6
Step-by-step explanation:
a line with equation y = c is a horizontal line parallel to the x- axis.
c is the value of the y- coordinates the line passes through.
Thus parallel lines must also be horizontal with equation y = c
a line parallel to y = 4 passing through (1, 9 ) with y- coordinate 9 is
y = 9
a line parallel to y = 2 passing through (- 1, - 3 ) with y- coordinate - 3 is
y = - 3
a line parallel to y = - 5 passing through (4, - 6 ) with y- coordinate - 6 is
y = - 6
Flaming Fish Emporium sold 15 fish on Monday and then received a shipment of 15 fish on Tuesday. If they started with an inventory of 365 fish on Monday morning, how many fish did they have at the end of the day on Tuesday?
Answer:
365
Step-by-step explanation:
As the amount of fish the emporium sold and received are the same, the inventory of fish has not changed. Therefore, the emporium has 365 fish at the end of the day on Tuesday.
Monday morning: 365 fish
After Monday's sales: 365 - 15 = 350 fish
Tuesday morning: 350 fish
After Tuesday's shipment: 350 + 15 = 365 fish
Answer:
End of Tuesday = 365 fishes
Step-by-step explanation:
Fishes in inventory,
→ n = 365 fishes
Let's take it as,
→ Monday (x) = 15
→ Tuesday (y) = 15
Forming the expression,
→ (n - x) + y
Let's solve the expression,
→ (n - x) + y
→ (365 - 15) + 15
→ 350 + 15
→ 365 fishes
Hence, there are 365 fishes.
Find the slope and y-intercept of each graph
Answer:1. m=1 3. m=1/3
Step-by-step explanation: your slope on number one was wrong it is 1. the slope on question 3 is 1/3. subtract two of the x-values. then subtract two y-values. they do not have to correspond with the x-values. the x will be your numerator the y your denominator. simplify the fraction
the width of a rectangle is half the length g. write and simplify an expression that represents the perimeter and area of the rectangle
The perimeter 2a+g unit and area a*g/2 unit² of the rectangle.
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral,
The area of rectangle is A = a*b
here given is b = g/2unit
The area will be a*g/2 unit²
The perimeter of the rectangle is 2(a+b)
perimeter will be 2(a+g/2) = 2a+g unit
hence the perimeter and area of the rectangle are a*g/2 unit² and 2a+g unit respectively.
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i’ll give out sm points if u do this for me with the work!!
The value of "x" in the given triangles is 17.
We are given a triangle, ΔABC. The midpoint of the side AC is denoted by D. The midpoint of the side BC is denoted by E. The midpoints D and E are joined by a line segment. The line segment DE is parallel to the side AB. The triangles ΔABC and ΔDEC are similar triangles. The lengths of the sides of the triangle ΔDEC are half those of ΔABC. The ratio of the lengths of DE and AB is 1/2.
DE/AB = 1/2
(3x - 4)/(9x - 59) = 1/2
6x - 8 = 9x - 59
51 = 3x
x = 17
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Sam ran 63,756 feet in 70 minute. What i am' rate in mile per hour? (There are 5,380 feet in one mile. )
The rate of Sam in miles per hour is 10.13.
Based on the relation between the units feet and mile, firstly converting the distance in miles.
5380 feet = 1 mile
So, 63,756 feet = 63,756 ÷ 5380
Performing division to calculate the distance in miles
63, 756 feet = 11.85 miles
Now converting the time in hour. As per the known fact, 60 minutes = 1 hour
So, 70 minutes = 70÷60
70 minutes = 1.17 hours
Now, finding the rate in miles per hour = number of miles ÷ amount of time
Rate in miles per hour = 11.85 ÷ 1.17
Performing division on Right Hand Side of the equation
Rate in miles per hour = 10.13
Thus, the rate is 10.13 miles per hour.
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find the critical value za/2 needed to construct a confidence interval with level 82%. round the answer to two decimal places.
Using the z table, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
In the given question,
We have to find the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82%.
The confidence interval is 82%.
We can write 82% as 82/100 and 0.82.
Now the value of
[tex]\alpha[/tex]=1−0.82
[tex]\alpha[/tex]=0.18
Now finding the value of [tex]\alpha[/tex]/2
[tex]\alpha[/tex]/2=0.18/2
[tex]\alpha[/tex]/2=0.09
Now finding the value of [tex]z_{a/2}[/tex].
[tex]z_{0.82}[/tex] = 1.34
Hence, the critical value [tex]z_{a/2}[/tex] needed to construct a confidence interval with level 82% is 1.34.
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In a drawer, there are 10 pairs of socks, 6 of which are white. If you randomly select two pairs of socks,
what is the probability that both are white? Express your answer as a reduced fraction.
The probability that both selected pairs of socks are white is 1/3.
We have a drawer. The drawer contains 10 pairs of socks. Six out of ten pairs of socks are white. We randomly selected two pairs of socks. We need to find the probability that both selected pairs of socks are white. Let the probability be represented by the variable "P". To select the first pair of white socks, the chances are six out of ten. Once the first pair is selected, the chances of selecting the second white pair of socks are five out of nine.
P = (6/10)*(5/9) = 1/3
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A cell phone is on sale at $35 more than half of the regular price. The sale price is $140. Determine the regular price.
The regular price for the cell phone is $210
How to calculate the price?From the information given, the cell phone is on sale at $35 more than half of the regular price and the sale price is $140.
Let the regular price be represented as x.
This will be illustrated as:
1/2x + 35 = 140
0.5x + 35 = 140
Collect like terms
0.5x = 140 - 35
0.5x = 105
Divide
x = 105 / 0.5
x = 210
The regular price is $210.
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A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books. There were twice as many small boxes sent as large boxes, which altogether can hold 225 books. Determine the number of small boxes sent and the number of large boxes sent.
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 35 books.
The system of equation will be x+y = 7 and 20x+35y = 225.
Let x be the no of small boxes and y be the no. of large boxes.
Given here each small box can hold 20 books and each large box can hold 35 books.
A total of 7 boxes were sent.
So, x+y = 7.......equation 1
Also given that 7 boxes can hold 225 books altogether.
So, 20x+35y = 225.....equation 2
Hence the system of equation will be x+y = 7 and 20x+35y = 225.
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Write an equation of a line that is
parallel to y = 1/3x + 5 and goes
through (3,5)
A) y = -3x + 14
B) y = 1/3x + 4
C) y = 1/3x + 4/3
D) y = 3x + 1
E) y = 1/2x + 7/2
Answer:
Step-by-step explanation:
We'll look for an equation in the format y = mx + b where m is the slope and b the y-intercept. A characteristic of parallel lines is that they have the same slope. That means the same value of m for both equations.
The reference equation is y = 1/3x + 5, It has a slope of (1/3). This means the new line will also have a slope of (1/3), and so we can write:
y = (1/3)x + b
Any value of b will result in a parallel line to y = 1/3x + 5. But the new line comes with the requirement that it go through point (3,5). That's easily done if we choose the correct value for b, the y-intercept. We could graph the line to visually determine what value of b will make the line go through this point, or we can simply enter the given point in the above equation and solve for b:
y = (1/3)x + b (for point (3,5)
5 = (1/3)(3) + b
5 = 1 + b
b = 4
A b value of four will shift the line so that it intersects (3,5). See the attached graph.
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