The overall change in the stock's value is [tex]1\frac{13}{24}[/tex].
What is the overall change in the stock's value?A mixed fraction is a non-integer that is made up of a whole number, numerator and a denominator. An example of a mixed fraction is 1 3/4. 1 is the whole number, 3 is the numerator and 4 is the denominator.
An increase in the stock value would be represented with an addition sign whole a decrease in the stock value would be represented with a negative sign. This means that increases in stock value would be added and decreases in stock value would be subtracted.
The overall change in the stock value = increase in stock on Monday morning - decrease in stock value on Monday afternoon + increase in stock value on Tuesday morning
The overall change in the stock value :
[tex]1\frac{3}{4} - 1\frac{1}{3} + 1\frac{1}{8}[/tex]
[tex]1\frac{18 - 8 + 3}{24}[/tex] = [tex]1\frac{13}{24}[/tex]
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Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {4, 6, 8}, B = {3, 4, 7, 10}, and C = {1, 3, 7}. Find the following. (Enter your answers as a comma-separated list.)
A ∪ B
Answer:
A U B = {3,4,6,7,8,10}Step-by-step explanation:
Greetings !
Little explanation about union 'U'The union of two sets is a set containing all elements that are in A or in B (possibly both). For example, {1,2}∪{2,3}={1,2,3}. Thus, we can write x∈(A∪B) if and only if (x∈A) or (x∈B). Note that A∪B=B∪A.
Hope it helps!!
Say you are given the graph of the line y x. Write the equation of the line that is perpendicular to the given line and goes through the point (8, 2).
The equation of a line perpendicular to y = x that passes through the point (8,2) is y = -x + 10
How to find the equation of the perpendicular line?The equation of the line is given as
y = x
Rewrite the equation as
y = x
A linear equation is represented as
y = mx + c
Where
Slope = m
So, we have
m = 1
The slopes of perpendicular lines are opposite reciprocals
This means that
m2 = -1/m1
So, we have
m = -1/1
Evaluate
m = -1
The equation of the perpendicular line is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (8, 2)
This gives
y = -1(x - 8) + 2
Evaluate
y = -x + 8 + 2
Evaluate the sum and the difference
y = -x + 10
So, the equation of a line perpendicular to y = x that passes through the point (8,2) is y = -x + 10
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HELP ME OUT PLEASE!!!!
Answer: no
Step-by-step explanation: hope this helps
Help me I begging plsssssssssss sesssss
Answer:
2.29x8=18.32
20 an hour because 160÷8=20
31.16 more than part a+b
Step-by-step explanation:
hope this helps plus brainliest if u want have a good day! :)
Yancey Smith works part-time as a sales assistant. Last week he earned $240. This week he earned $325. Yancey is single and claims 2 allowances. Using the percentage method, how much more will be withheld this week for federal income tax?
The answer is 17/48
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 “%”.
based on the given conditions , formulates
1×(325-240)÷240
calculate the sum or difference 85/240
cross out the common factor 17/48
so therefore the answer will be 17/48
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literally the hardest question
The amount of money that is invested in the account that yields an 8% interest is $6,050.
The amount of money that is invested in the account that yields a 4% interest is $4,650.
How much was invested in each account?Given these two equations:
x = y + 1400
x - y = 1400 equation 1
0.08x + 0.04y = 670 equation 2
take the following steps to determine the amount of money invested at each interest rate:
Multiply equation 1 by 0.08
0.08x - 0.08y = 112 equation 3
Subtract equation 3 from equation 2
0.12y = 558
Divide both sides by 0.12
y = 558 / 0.12
y = $4,650
x = $4,650 + 1400
x = $6,050
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The length of a rectangular photograph is 9 in more than the width. If the area is 90 in2, what are the dimensions of the photograph?
Part 1 of 2
The photograph is
Part 2 of 2
The photograph is
in wide.
in long.
The photograph is 6 inches wide and 15 inches long.
On a plane trip to Hawaii, the baggage weight projected was 2,182 1/4 lbs. The actual weight of all bags totaled 2,095 1/3 lbs. By how much was the projected weight overstated?
The projected weight overstated is 86.92 lbs.
What is arithmetic operation?Arithmetic operations is a branch of mathematics, that involves the study of numbers, operation of numbers that are useful in all the other branches of mathematics.
Given:
Baggage weight projected was 2,182 1/4 lbs = 2182.25 lbs
The actual weight is 2,095 1/3 lbs = 2095.33 lbs
So, the overstated weight is
=2182.25 - 2095.33
=86.92 lbs
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At which value in the domain does:
Answer:
Step-by-step explanation:
The perimeter of a rectangle is 320 feet. Find the length and width if the length is an odd integer and the width is 5 times the next consecutive odd integer
The length of rectangle is 25 feet and the width of rectangle is 135 feet.
How can the perimeter be calculated?The perimeter of a rectangle can be calculated by making use of the formular that will be written below which is
P = 2(l + b)
But if we are to interpret the question, then we will have
2(L + W) = 320 after the simplification
and from the above simplification , we will have
L+ W=160
But according to the question, Odd integers that follow each other with a difference of 2, hence we will have x as the odd integer, then go in a consecutive odd integers manner we will have
W = 5(x+2)
Then if we substitute, we have
[x+5x+10=160]
Then simplify we have
6x=150
x=25
Then input x into the width equation, then, width will be 135 feet.
Therefore, The length of rectangle is 25 feet and the width of rectangle is 135 feet.
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Let [tex]F=\ \textless \ 7xy, 2y^2\ \textgreater \ [/tex] be a vector field in the plane, and [tex]C[/tex] the path [tex]y=8x^2[/tex] joining [tex](0,0)[/tex] to [tex](1,8)[/tex] in the plane.
Evaluate the following:
Given that F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.the line integral ∫F.dr = 355¹/₃ units
What are line integrals?Line integrals are integrals evaluated along a curve. It is given by I = ∫F.dr
where dr = dxi + dyj
How to find the given integral ∫F.dr?Given that F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.
So, we need to find the line integral ∫F.dr
Since
F = <7xy, 2y²> = (7xy)i + (2y²)j and dr = dxi + dyjSo, ∫F.dr = ∫[(7xy)i + (2y²)j.(dxi + dyj)] = ∫(7xydx + 2y²dy)
We integrate y from 0 to 8 and x from 0 to 1 and susbstitute y = 8x² into the equation. So, we have
∫F.dr = ∫(7xydx + ∫2y²dy)
= ∫(7x(8x²)dx + ∫2y²dy)
= ∫56x³dx + ∫2y²dy
= 56∫₀¹x³dx + 2∫₀⁸y²dy
= 56[x⁴/4]₀¹ + 2[y³/3]₀⁸
= 56[1⁴/4 - 0⁴/4] + 2[8³/3 - 0³/3]
= 56[1/4 - 0] + 2[512/3 - 0]
= 56[1/4} + 2[512/3]
= 14 + 1024/3
= (42 + 1024)/3
= 1066/3
= 355¹/₃ units
So, given that F = <7xy, 2y²> is a vector field in the plane, and C the path y = 8x² joining (0,0) to (1,8) in the plane.the line integral ∫F.dr = 355¹/₃ units
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Solve for x: -x+8=3
Answer:
x=5
Step-by-step explanation:
-x + 8 = 3
-x = 3 - 8
-x = -5
x = 5
Hope this helps :)
Have a nice day!
prime factorisation 545 divisible method
Answer:
Prime Factors of 545 are 5, 109, and usually expressed as 5 x 109. 4.
hope this is right! :) -liaa
Indiras spring garden has half as many tulips as daffodils and three times as many hyacinths as tulips. If there are a total of 204 flowers in indiras garden, how many of each flower does she have ?
Indira is having 34 tulips, 68 daffodils and 102 hyacinths , altogether 204 flowers in her spring garden.
Given, In Indira's springtime garden, there are three times more hyacinths than tulips and half as many daffodils as tulips.
let the number of tulips be = x
the number of daffodils be = y
the number of hyacinths be = z
hence according to the question,
tulips are (x) = 1/2 (y) = y/2
hyacinths are (z) = 3(x) = 3x
therefore, total flowers = 204
tulips ₊ daffodils ₊ hyacinths = 204
y/2 ₊ y ₊ 3x = 204
substitute x value in the above equation.
y/2 ₊ y ₊ 3(y/2) = 204
take LCM
y ₊ 2y ₊ 3y = 408
6y = 408
y = 408/6
y = 68
hence the number of daffodils is 68.
now substitute y value in x = y/2
x = 68/2
x = 34
now substitute x value in z= 3x
z = 3(34)
z = 102
hence we get the number of tulips,daffodils and hyacinths as 34 , 68 and 102 respectively.
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Eighty students and some adults went on a 3-day camping trip. Each adult was responsible for five students. How many people went on the trip?
Answer:
96 people
Step-by-step explanation:
Per 5 students 1 adult goes:
80÷5=16
So, 16 adults went.
Total number of Students and Adults combined=The number of people that went on the trip:
80+16=96
Drew dropped the thumbtack 225 times and found that it landed point up 62 times. Drew concluded that the probability the thumbtack lands points up is about what?
Based on the number of times Drew dropped the thumbtack and the number of times it landed point up, the probability that the thumbtack lands points up is 27.6%
How to find the probability?The probability that the thumbtack lands points up can be found by the formula:
= Number of times the thumbtack lands points up / Number of total times the thumbtack was dropped by Drew x 100%
Solving for the probability of a thumbtack landing points up gives:
= 62 / 225 x 100%
= 0.2755556 x 100%
= 27.6%
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The volume of a cone varies jointly as its height, and the square of its radius. If a cone with a height of 8 cm and a radius of 2 cm has a volume of 33.5 cm3 what is the volume of a cone with a height of 6 cm and a radius of 4 cm?
The volume of a cone with a height of 6 cm and a radius of 4 cm is:
V = 100.5 cm³
What is the volume of a cone with a height of 6cm and a radius of 4cm?
If the volume of a cone varies jointly as its height, and the square of its radius, then we can write the equation:
V = R²*H*k
Where:
R = radius
H = height
k = constant of the variation.
Here we know that if R = 2cm and H = 8cm, the volume is 33.5 cm³, then we can replace that to get:
33.5 cm³ = (2cm)²*8cm*k
The value of k is:
(33.5 cm³)/( (2cm)²*8cm ) = k = 1.046875
Then the formula for the volume is:
V = R²*H*1.046875
Now if the radius is 4cm and the height is 6cm, the volume will be:
V = (4cm)²*(6cm)*1.046875 = 100.5 cm³
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Niko has a collection of 60 stamps. Of these stamps, 30% are from New York, 25% are from California, and the rest are from countries outside of the United States. How many stamps in Niko’s collection are from countries that are outside of the United States?
i don’t understand pls help!!!
Write the sentence as an inequality. The sum of a number $v$ and $6.2$ is at least $-4.7$ .
The inequality will be:
6.2 + v ≥ -4.7
And it can solved to get:
v ≥ -10.9
How to write the inequality?Here we have the mathematical sentence:
"The sum of a number v and 6.2 is at least -4.7"
The sum is written as:
6.2 + v
And that is equal to or more than -4.7, then we need to use the symbol ≥, with that, we can write the inequality:
6.2 + v ≥ -4.7
Solving that four our number v, we get:
v ≥ -4.7 - 6.2
v ≥ -10.9
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5. The circle graph shows last year's ticket
sales with a total of 842 tickets.
4%
17%
55%
24%
Adults
Students
Children Under 12
Seniors
This year 22 more tickets were sold to
seniors. How many senior tickets were
sold this year?
A 36 tickets
B 39 tickets
C 143 tickets
D 165 tickets
The total ticket were sold this year is 39 tickets.
What is arithmetic?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
The circle graph shows last year's ticket sales with a total of 842 tickets.
Adults =4%
Students =17%
Children Under 12 =55%
Seniors =24%
This year 22 more tickets were sold to seniors.
According to given question we have
Ticket sold to the senior
=24% *842
= 202.08 tickets.
Tickets were sold this year
= 202.08/12 tickets.
=16.84 tickets.
This year 22 more tickets were sold to seniors
=16.84 tickets+22 tickets
=38.84 ≈39 tickets
Therefore, the total ticket were sold this year is 39 tickets.
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You have a square blanket that has an area of 64 square feet. What are the dimensions of the blanket (length x width)?
The each side of the square will be 8.
Therefore, the area of a rectangle with a height of 4 cm and a length of 16 cm is 64 cm². Since a square is a rectangle with equal height and width, we need to find a number that when multiplied by itself equals 64... which is the square root of 64. That's 8.8x 8 = 64.
A square is a two-dimensional planar object in geometry that has four equal sides and four equal but 90 degree angles. The characteristics of a rectangle and a square are fairly comparable, however a rectangle only has its opposing sides equal. Therefore, a rectangle is only referred to as a square if its four sides are of the same length.
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
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A person has a bag containing quarters and nickels. There are a total of 143 coins in the bag, and the total value of the coins is $17.75.
Answer: Maricella has a bag containing 35 nickels and quarters. The ...
Jun 11, 2018
Bag of Nickles and Quarters | Wyzant Ask An Expert
Step-by-step explanation:
what is -9(2)+10 with workout please
at the beginning of march, michelle had a balane of 887.43 in her checking account. during the month she wrote checks for 435, 58.27 and 127.96 she also deposited a check for 301.68. what was the balance in her account at the end of march
Answer:
$567.88
Step-by-step explanation:
Start with the beginning balance.
Add all the mounts of checks and subtract the total from the beginning balance.
Add the amount of the deposit to the balance.
Beginning balance: $887.43
Withdraw: $435, $58.27, $127.96
Total withdrawals: $435 + $58.27 + $127.96 = $621.23
Deposit: $301.68
Final balance = beginning balance - total of checks + amount of deposit
Final balance: $887.43 - $621.23 + $301.68 = $567.88
Answer: $567.88
Determine the number of proper subsets contained in P if P={x| x is an odd, negative integer and x > −20}.
The number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
How to illustrate the information?It should be noted based on the information, the value of P will be:
= P(x is an odd, positive integer and x < 20}
P = (1, 3, 5, ,7, 9, 11, 13, 15, 17, and 19)
Therefore, it should be noted that there are 10 numbers.
Therefore, the number of subsets will be:
= 2^n - 1
= 2^10 - 1
= 1023
Therefore, the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
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Determine the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20}.
The diameter of a human red blood cell is 0.000006 m. write the number using scientific notation, in the form of a x 10b
What is the order of magnitude for the following number 1.25 x 105 ?
A. 1.25
B. 10
C. 5
The order of the magnitude of the given number is a 5.
According to the statement
We have to find that the order of the magnitude.
So, For this purpose, we know that the
An order of magnitude is an exponential change of plus or minus 1 in the value of a quantity or unit. The term is generally used in conjunction with power-of-10 scientific notation.
From the given information:
The number are 1.25 x 105
To find the order firstly solve it then
1.25 x 105
1.25 x 105 = 131.25
And in this according to the definition of the order of the magnitude:
The order is of the 5 numbers.
So, The order of the magnitude of the given number is a 5.
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Chapter 7 of the Jiuzhang suanshu presents a problem of two linear equations involving acres of land and their respective prices. One of the two equations can be translated to:
300x + 300 x plus StartFraction 500 over 7 EndFraction left-parenthesis 87.5 right-parenthesis equals 10,000.y = 10000
If y = 87.5, what is the value for x?
The required value of x is 12.5 when y = 87.5
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
300x + 500/7y = 10,000
Now for the value of x put the value of y which is 87.5 in the given equation we get,
300x + 500/(7*87.5) = 10,000
Solving we get,
300x + 500/612.5 = 10,000
Simplifying the fraction we get,
300x + 43,750/7 = 10,000
Dividing the fraction we get
300x + 6,250 = 10,000
Subtract 6,250 from both sides
300x + 6,250 - 6,250 = 10,000 - 6,250
Solving we get,
300x = 3,750
Divide both sides by 300
x = 3,750/300
Solving we get
x = 12.5
this is the required value of x when y = 87.5
Thus, the required value of x is 12.5 when y= 87.5
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The correct question is attached.
Which is equivalent to 5/−3 ?
The fraction that is equivalent to the given fraction is -5/3
From the question, we are to determine the equivalent form of the given fraction
The given fraction is 5/-3
From one of the properties of fractions, we have that
-x/y = x/-y
Thus,
We can write that 5/-3 is equivalent to -5/3 by the above property.
Hence, the fraction that is equivalent to the given fraction is -5/3
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