Answer: about 260 Lb
Step-by-step explanation:
Nadia is a stockbroker. She earns 12% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Nadia made commission of $636 last week
She made $33072 commission in 2011.
What is percentage?In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given,
Weekly commission of Nadia = 12%
Cost of stocks Nadia sold last week = $5300
Commission made by Nadia last week = 12% of $5300
= (12/100) × 5300
= 12 × 53
Commission made by Nadia last week = $636
No. of weeks in 2011 = 52 weeks
If she averages that same amount each week
Then commission made by her in 2011 = 52 × $636
= $33072
Hence, $636 is the commission made by Nadia last week,
$33072 is the total commission made by Nadia in 2011.
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Please help me with my class work
Answer:
3/2m^5n
Step-by-step explanation:
9m^8n^5÷6m^3n^4
(9/6)(m^8/m^3)(n^5/n^4)
3/2m^5n
In two or more complete sentences explain how to balance the chemical equation and classify its reaction type.
_P₁+0₂_P₂03
Answer:
A balanced chemical equation is defined as the equation in which total number of individual atoms on the reactant side is equal to the total number of individual atoms on the product side. These equations follow law of conservation of mass.
the graph below represents a linear function. which of the following equations models the linear graph above?
y varies inversely with x. Write an equation relating x and y.
Then find the indicated value. Show your work.
y = 3 when x = 8. Find the value of y when
x = 6.
y = 9 when x = 6. Find the value of x when
y = 4.
y= 1.5 when x = 14. Find the value of y when
x = 9.
y = 20 when x = 10. Find the value of x when
y = 25.
The equation of variation is xy = k.
The required values are given below.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
y inversely varies as x.
That means, y ∝ 1/x.
So, y = kx, where k constant of variation.
Then, x × y = k
When y = 8, x = 3.
k = 3 × 8 = 24
So, the equation of variation is xy = 24.
When x = 6,
6y = 24
⇒ y = 4
When y = 9, x = 6.
k = 6 × 9 = 54
So, the equation of variation is xy = 54.
When y = 4,
4x = 54
⇒ x = 27/2
When y = 1.5, x = 14.
k = 1.5 × 14 = 21
So, the equation of variation is xy = 21.
When x = 9,
9y = 21
⇒ y = 7/3
When y = 20, x = 10.
k = 20 × 10 = 200
So, the equation of variation is xy = 200.
When y = 25,
25x = 200
⇒ x = 8
Therefore, the values are given above.
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can any one explain why you have to do Addition and Subtraction in Scientific Notation or how we will use it in the real world
We must remember to multiply each integer by a power of 10 while subtracting numbers in scientific notation.
what is significant figures ?A value's accuracy is influenced by the number of significant digits in the value, which is frequently a measurement. Count the significant digits starting with the first non-zero digit. All zeros are permitted in the decimal places to the right of the last non-zero place. Consider the five significant digits in the number 0.0079800. Any zeros to the right of the last non-zero digit, when they come from the measurement, are significant. rounding an integer to 3 significant digits and 3 decimal places is identical. Go up to three and begin counting at the first digit that is not zero. Remove the last digit after that. The final two digits to the right of the decimal point should be increased by zeros.
To make it simple to subtract these integers, they must all be in the same power, as demonstrated in the example below.
5×10^2−3×10^2=
5(100)−3(100)^2×10^2=
(500−300)^2×10^2
=200
However, before continuing, we must restate the numbers in similar powers of ten if the powers of ten for the numbers to be subtracted are not the same.
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What is the length of the hypotenuse of a 45 45 90 triangle?
The length of the hypotenuse of a 45 45 90 triangle with one side of length 8 is 8√2.
The length of the hypotenuse of a 45 45 90 triangle can be calculated using the Pythagorean Theorem. The Pythagorean Theorem states that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. This can be expressed mathematically as a2 + b2 = c2, where a and b represent the lengths of the two sides and c represents the length of the hypotenuse.
In a 45 45 90 triangle, both sides are equal in length. This means that the mathematical equation simplifies to a2 + a2 = c2 or 2a2 = c2. To calculate the length of the hypotenuse, we can solve for c by taking the square root of both sides, resulting in c = √2a.
In this particular example, if the length of one of the sides is 8, then the length of the hypotenuse can be calculated as c = √2(8) = 8√2. Therefore, the length of the hypotenuse of a 45 45 90 triangle with one side of length 8 is 8√2.
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Miss Howard is baking cookies for her friends. She buys 5 pounds of flour and spends a total of $11. What is the cost for each pound of flour?
Answer:
[tex]\huge\boxed{\sf \$ 2.2}[/tex]
Step-by-step explanation:
From the question,5 pounds of flour = $11
Divide both sides by 55/5 pound of flour = $11 / 5
1 pound of flour = $2.2[tex]\rule[225]{225}{2}[/tex]
What circles are drawn on a volleyball score sheet?
What shapes are the circles on the volleyball score A blanket, sheet, plastic sheet, or other similar item is used by each squad. Each team starts with one ball and tosses and catches the others' balls in the blanket.
Fouls. A foul is when a player engages in play that is not permitted by the rules. A double foul occurs when two opposing players violate the rules at the same moment. A double hit occurs when a player makes several, or multiple consecutive, unlawful contacts. If a player steps above the service counter or centerline, they have made a foot error. The play court, which is 18 metres long and 9 metres wide, is surrounded by a free space that is actually 3 metres wide. The area that is at least 7 metres above the playing field and designated as the free performance space.
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JK 12 and JN = 7
M
J
N
L
K
Suppose 10 people arrive at a bank at the same time. In how many ways can they line up to wait for the next available teller? a) O 10 b) O 362,880 c) O 40,320 d) O 100 e) 3,628,800 1) O None of the above.
None of the above. The answer is 10! (10 factorial) which number is 3,628,800.
The number of ways to arrange 10 people in a line is 10! (10 factorial). This is equal to 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
The answer to the question is 10! (10 factorial). This is because in order to determine the number of ways to arrange 10 people in a line, you must multiply the number of people by every number between that number and 1. In this case, it would be 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 which is 3,628,800.
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factor each expression. You can check your answer by distributing. 8d + 20e
The factorization of given expression is 4(2d+5e).
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
The given expression is 8d+20e.
In the given expression there are two terms and factors them are
8d= 2×2×2×d
20e= 2×2×5×e
So, the greatest common factor is 4
Now, 4(2d+5e)
Therefore, the factorization of given expression is 4(2d+5e).
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If the sum of 1/ of a number and 15 is 13.Find the number?
Answer:
-2
Step-by-step explanation:
Let's call the unknown number x.
We are given that:
1/x + 15 = 13
To find the value of x, we need to isolate x on one side of the equation.
To do this, we can subtract 15 from both sides:
1/x + 15 - 15 = 13 - 15
This gives us:
1/x = -2
To find x, we can multiply both sides by x:
x * (1/x) = x * (-2)
This gives us:
x = -2x
Therefore the number is -2
What is f1 and f2 in lens?
F1 and F2 refer to the two principal focal lengths of a lens.
The two main focal lengths of a lens are referred to as f1 and f2 in the field of optics. The first principal focal length, or f1, is the distance from the lens to the point where parallel light rays, which have already passed through the lens, condense into a single point known as the focal point.
The second principal focal length, or f2, is the distance from the lens to the point where light rays diverging from a single point will appear to converge after passing through the lens. The distance from the lens to the point at which the light rays converge or diverge is known as the focal length. The values of f1 and f2, respectively, depend on the shape and type of the lens.
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what is the square root 15v to the 4th power times square root of 2v
the square root 15v to the 4th power times square root of 2v to the 3rd power is 15v^2 x 2v^3, or 30v^5.
What is square root?The square root of a number is a value that, when multiplied by itself, produces the original number. For example, the square root of 16 is 4 because 4 x 4 = 16. In mathematics, the square root of a number is written as a radical symbol, with the number inside the radical symbol. The square root symbol is also known as the radical symbol or radix.
To calculate this, first take the square root of 15v to the 4th power, which is 3v. Then take the square root of 2v to the 3rd power, which is 2v.
Finally, multiply 3v and 2v together to get the final answer of 30v^5.
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Complete questions as follows-
What is the square root 15v to the 4th power times square root of 2v to the 3rd power?
True or false: when evaluating an argument, there are two questions we can ask: (1) are the premises true or reasonable to believe?, and (2) do the premises offer sufficient support for the conclusion? question: is it true or false that (1) and (2) are logically independent questions? ((a) true, (b) false)
So answer is true For deductive arguments, you answer true to the question “Do the premises provide enough logical support for the conclusion
A valid argument is a deductive argument that succeeds in providing decisive logical support.
A valid argument is thus a deductive argument an argument that attempts to establish conclusive support for its conclusion that succeeds.
An invalid argument is a deductive argument that fails in providing conclusive support.
For deductive arguments, you answer “yes” to the question “Do the premises provide enough logical support for the conclusion?” if the argument is valid, and you answer “no” if otherwise.
So answer is true For deductive arguments, you answer true to the question “Do the premises provide enough logical support for the conclusion
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HELP ME PLS
Choose the correct graph of the given systems of equations. y − 2x = −1 2y − x = 4 graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3 graph of two lines intersecting at zero comma negative one with text on graph that reads One Solution 0, negative 1 graph of two parallel lines with positive slopes with text on graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions
The correct graph of the given systems of equations include the following: A. graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3.
What is a graph?In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs (data points) on both the horizontal and vertical lines of a cartesian coordinate, which indicates the x-axis and y-axis respectively.
Next, we would use an online graphing calculator to plot the above system of equations with a point of intersection at (2, 3) as shown in the graph attached below.
By critically observing the graph of the given system of equations, we can logically deduce that it has only one solution, which is the ordered pair (2, 3);
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Drag each title
Match the mortgage types with their descriptions
Each of the mortgage types should be matched with the correct description as follows:
Government insured: it requires the buyer to make a 20% down payment.Balloon mortgage: a large portion of principal is paid in a single payment at the end of the loan.Fixed rate: it has the same interest rate for the life span of the loan.Conventional: it requires a lower down payment and allows buyers to have a lower credit score.Hybrid: it initially has a fixed rate for three to five years and then adjusts at a predetermined time.Adjustable: it starts with a low interest rate and then adjusts throughout the duration of the loan.What is mortgage brokering?Mortgage brokering can be defined as a strategic process which typically involves a mortgage broker acting as an intermediary between a financial institution such as a mortgage bank that is offering loans and an individual that seeks to collect (obtain) this loan.
What are the types of mortgage?Generally speaking, there are different types of mortgage and these include the following:
Government insured mortgage.Balloon mortgage.Fixed rate.Conventional mortgage.Hybrid mortgage.Adjustable mortgage.In conclusion, a government insured mortgage is a type of mortgage that requires a buyer making a 20% down payment.
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Complete Question:
Match the mortgage types with their descriptions. it requires the buyer to make a 20% down payment. a large portion of principal is paid in a single payment at the end of the loan. it has the same interest rate for the life span of the loan. it requires a lower down payment and allows buyers to have a lower credit score. it initially has a fixed rate for three to five years and then adjusts at a predetermined time. it starts with a low interest rate and then adjusts throughout the duration of the loan.
Which two points on the number line represent numbers that can be combined to make zero?
B and D
A and B
C and D
A and C
Answer:
B and D
Step-by-step explanation:
-2+2=0
Last week, Darell spent 5 hours doing homework. Bruce did homework for 1/5 as many hours as Darell did. How many hours did Bruce spend doing homework?
The number of hours Bruce spent doing homework last week if he spent 1/5 of Darell's time is 1 hour.
How to solve fractions?Time Darell spent doing homework last week = 5 hours
Time Bruce spent doing homework last week = 1/5 of Darell's time
= 1/5 of 5
= 1/5 × 5
= (1 × 5) / (5 × 1)
= 5/5
= 1 hour
In conclusion, given the fraction of time Bruce spent doing homework last week, that means, he spent 1 hour doing homework.
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If UV = x + 6 and UY = x - 1, find YV.
(WY INTERSECTS UV AT Y)
The length of YV is equivalent to 7.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that UV = x + 6 and UY = x - 1. Also, WY intersects UV at Y.
We can write that -
UV = UY + YV
YV = UV - UY
YV = (x + 6) - (x - 1)
YV = x + 6 - x + 1
YV = 7
Therefore, the length of YV is equivalent to 7.
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could someone pls help
Answer:
the answer is y = -4x + 5
Step-by-step explanation:
Im dum i cant explain it :D
please please
can someone give answers?
Answer:
1. A,2. C, 3. B.-------------------------------
Question 1Opposite leg / hypotenuse is the ratio for sine:
sin 40° = x/20Correct choice is A.
Question 2Opposite leg / adjacent leg is the ratio for tangent:
tan 53° = x/12Correct choice is C.
Question 3Adjacent leg / hypotenuse is the ratio for cosine:
cos 51° = 10/xCorrect choice is B.
The ratio for tangent is opposite leg/adjacent leg,tan 53° is x/12.
The opposing side's ratio to the hypotenuse is what?We'll use the term sine and the symbol sin to denote the ratio of a right triangle's opposing side to hypotenuse. The cosine, denoted by the symbol cos, is the ratio between the neighboring side and hypotenuse of a right triangle.
The cosine, denoted by the symbol cos, is the ratio between the neighboring side and hypotenuse of a right triangle.
Explanation:
The first question is:
Correct answer is A: sin 40° = x/20.
The ratio for tangent is opposite leg/adjacent leg:
tan 53° = x/12
C is the proper selection.
The cosine ratio is the adjacent leg to hypotenuse:
cos 51° = 10/x
B is the proper selection.
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Record each of the equations in slope intercept form ( y=Mx+b)
The equations are recorded in slope intercept form as below
equation slope intercept form
y + x = 3 y = -x + 3
2x + y = x + 4 y = -x + 4
x + y = -3 y = -x - 3
What is slope intercept form of linear equation?A linear function consists of functions where the variables has exponents of 1.
The graph of linear functions is a straight line graph and the relationship is expressed in the slope intercept form as shown below.
y = mx + b
definition of variable
y = output variable
m = slope
x = input variable
b = y intercept
The equation are written in the form y = mx + b as below
y + x = 3
rearranging the equation
y = -x + 3
2x + y = x + 4
rearranging the equation
y = -2x + x + 4
y = -x + 4
\
x + y = -3
rearranging the equation
y = -x - 3
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Is (3,8) a solution to this system of equations?
y=53x+3y=73x+1
yes or no
Answer:
[tex] \textcolor{green}{ \textbf{no}}[/tex]
[tex] x = \frac{1}{10} , y = \frac{83}{10} [/tex]
Step-by-step explanation:
y=53x+3
y=73x+1
Solve y = 53x + 3 for equ 2 | equ means equation
[tex] \sf \: 53x + 3 = 73x + 1[/tex]
Substract 73x from both sides
[tex] \sf \: 53x - 73x + 3 = 1[/tex]
Solve 53x - 73x
[tex] \sf - 20x + 3 = 1[/tex]
Substract 3 from both sides
[tex] \sf - 20x + 3 - 3 = 1 - 3[/tex]
Solve
[tex] \sf \: - 20x = - 2[/tex]
Divide both sides by -20
[tex] \sf \frac{- 20x}{ - 20}= \frac{ - 2}{ - 20} [/tex]
Solve
[tex] \sf x = \frac{1}{10} [/tex]
[tex] \sf ------------------------------------------------- [/tex]
Substitute x = 1/10 into equ 1
[tex] \sf y = 53x + 3[/tex]
Insert x = 1/10
[tex] \sf y = 53( \frac{1}{10} ) + 3[/tex]
multiply 54 by the numerator which is 1
[tex] \sf \: y = \frac{53}{10} + 3[/tex]
Turn 3 to 3/1
[tex] \sf \: y = \frac{53}{10} + \frac{3}{1} [/tex]
L.C.M = 10
[tex] \sf y = \frac{ \frac{53}{10} \times 10 \: + \: \frac{3}{1} \times 10 }{10} [/tex]
Simplify
[tex] \sf \: y = \frac{53 + 30}{10} [/tex]
Calculate 53+30
[tex] \sf \: y = \frac{83}{10} [/tex]
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Joe delivers newspapers. He earns a fixed salary for the first 30 hours and then additional
pay for any time over 30 hours. During one week, he worked 40 hours and earned $180.
Another week he worked 45 hours and earned $210. What was Joe's weekly salary and
overtime pay per hour?
Therefore ,the linear function that best describes the scatterplot relating the number of books in the library is y = 10 + 8x
What is linear function?Two separate but related concepts are referred to as linear functions in mathematics: A polynomial function of degree 0 or 1 is referred to as a linear function in calculus and related fields if its graph is a straight line.
Here,
The points given on the scatterplot are (0,10),(4,42),(8,74) & (12,106)
By putting in the points in the given linear functions
y = 8 − 10x
y = 8 + 10x
In mathematics, the term "linear function" refers to two distinct but related ideas: In calculus and related subjects, a polynomial function of degree 0 or 1 is referred to as a linear function if its graph is a straight line.
y = 10 − 8x
y = 10 + 8x
Thus ,the linear function which best satisfy the points given on the scatterplot is y = 10 + 8x
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p) find a1 for the geometric sequence
Sn = 46560 r = 4 n = 4
The first term of the Geometric Sequence will be 9,312.
What is Geometric Sequence?It is a sequence in which every term (except the first term, a) is multiplied by a constant number (common ratio, r) to get its next term. i.e., To get the next term in the sequence, we have to multiply with the common ratio, and to find the preceding term, we just have to divide the term by the same common ratio.
[tex]Sum = \frac{a(r^{n} - 1) }{r - 1}[/tex]
where;
Sn = 46560
r = 4
n = 4
[tex]46560 = \frac{a(4^{4} - 1) }{4 - 1}\\46560 = \frac{a(16 - 1) }{3}\\\\46560 = \frac{a(15\\) }{3}\\\\\\46560 = \frac{a(15\\) }{3}\\\\\\[/tex]
46560 = 5a
a = 9,312
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When a number greater than 1 is written in scientific notation the exponent is?
When a number greater than 1 is written in scientific notation, the exponent is positive.
Scientific notation is a way of expressing numbers that are very large or very small using a decimal number between 1 and 10, multiplied by a power of 10. For example, instead of writing the number 100,000,000 as 100,000,000, it can be written in scientific notation as 1 x 10^8.
The exponent of a number in scientific notation is the power of 10 that the decimal number is multiplied by, and it gives the number of places the decimal point is moved to the right or left to obtain the original number. In the example above, the exponent is 8, which indicates that the decimal point has been moved 8 places to the right to get the original number 100,000,000.
When the number is greater than 1, the exponent of scientific notation is positive and indicates that the decimal point is moved to the right.
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select all the irrational numbers, pls ive been stuck for like 20 minutes
Answer: 15
Step-by-step explanation:
15 can't be divided by two and make a non-repeating decimal.
One lap around the inide lane of a tandard track i equal to 400 meter. Brad jog one lap around a track in one minute 30 econd. Auming he can maintain thi pace, how long will it take him to run a mile? Round your anwer to the nearet tenth of a minute
Brad takes 6 minutes to run a mile assuming he can maintain the same pace.
Given that,
One lap around the inside lane of a standard track = 400m
Time taken for Brad to jog one lap around a track = 1 minute and 30 secs
We know that one mile = 1609.34 meters = 1600 meters (approximately)
Since Brad can jog 400m in 1 minute and 30 secs
1600 meters = 400*4 meters
Assuming that he can maintain the same pace:
so, the total time taken to run 1 mile = 1 minute 30 secs * 4 = 6 minutes
Hence, Brad takes 6 minutes to run a mile assuming he can maintain the same pace.
Correct question: One lap around the inside lane of a standard track is equal to 400 meters: Brad jogs one lap around a track in one minute and 30 seconds. Assuming he can maintain this pace, how long will it take him to run a mile? Round your answer to the nearest tenth of a minute.
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