After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given that ,
7/ 8 * 14 / (3/8 * 6 ) + 2 1/5
= (7/8 * 14 )/ ((18 / 8) + 11/5)
= (98/ 8 ) / (90 + 88) / 40
= (98/ 8 ) / (178/ 40)
= (98 * 40) / (8* 78)
= 245/89
Hence the final value could be 245/53.
7/ 8 + (6*7/8 - 4 * 3/16 ) / (3/4 )
(7/8 + (21/4 - 3/4 ) ) / (3/4)
(7/8 + 18/4) / (3/4)
(43/8) / (3/4)
43/6
Hence the final value could be 43/6.
3 1/7 * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)
11/7 * (10/6 - 5/18) / (17/7)
(11/7 )* (27/ 18) /( 17/7)
(11* 27/18 )/ (17)
33/34.
Hence the final value could be 33/34.
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Jacob Hernandez invests $25,000 in a CD for 5 years. The CD earns interest at an annual rate of 5.5% compounded quarterly. What is the annual percentage yield to the nearest hundredth of a percent?
Answer:
Below
Step-by-step explanation:
Each PERIOD is 3 months there is 4 periods per year
periodic interest = .055/4
effective interest per year would then be
(1 + .055/4)^4 - 1 = .056144 = ~ 5.61%
Need help I can’t solve it
Answer:
Coupon A is better by $2.80.
Step-by-step explanation:
You want to know how much better the best price is between coupon A's $55 rebate on $87 worth of pants, or coupon B's 60% off.
ReductionThe price reduction offered by coupon B is ...
0.60 × $87 = $52.20
ComparisonClearly, the $55 reduction offered by coupon A is a greater reduction than the $52.20 reduction offered by coupon B. The difference in value is ...
$55.00 -52.20 = $2.80
Coupon A gives the lower price by $2.80.
At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year
By working a full year, you may expect to earn a total of $19,646.25 in earrings.
Explain about the expression?This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
= Total overtime pay of $2,193.75 (first 6 months)
Add the regular and overtime pay after that:
= $7,312.50 + $2,193.75
= $9,506,25 in total income (first 6 months)
$7,800.00totalregularpay(last6months)
Overtime pay:(26weeks in a half year) \=$8\times
7.57.5\times1.51.5\times
$ 26
= Total overtime pay of $2,340.00 (last 6 months)
Add the regular and overtime pay after that:
= $7,800.00 + $2,340.00
= $10,140.00 in total income (last 6 months)
In the end, add the combined earnings from the two half years:
= $9,506.25 + $10,140.00
= Total annual profits of $19,646.25 (expected)
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please help asap
will give brainliest
Answer:
15
Step-by-step explanation:
Opposite angles in a parallelogram are equal. (this is a parallelogram because it has 2 pairs of parallel sides.)
So
3x+2=47
3x=45
x=45/3
x= 15
The Chess Club president brought donuts to the club meeting each week. As the club grew, more donuts were needed so that each member could have a donut. The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Determine which table has the correct values for A, B, and C.
Donuts 3 4 5 7
Cost 13.80 27.60 34.95 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.95 55.20
Donuts 3 4 5 6
Cost 13.80 27.60 34.50 55.20
Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
We have to given that;
The table below shows the ratios of boxed donuts to the cost.
Donuts A 4 5 C
Cost 13.80 27.60 B 55.20
Now, By definition of ratio, we get;
⇒ A / 13.80 = 4 / 27.60
⇒ A = 13.80 × 4 / 27.60
⇒ A = 2.00
And,
⇒ 4 / 27.60 = 5 / B
⇒ B = 5 × 27.60 / 4
⇒ B = 34.5
⇒ 4 / 27.60 = C / 55.20
⇒ C = 55.20 × 4 / 27.60
⇒ C = 8
Thus, The table with correct values of A, B and C is,
⇒ Donuts 2 4 5 8
Cost 13.80 27.60 34.50 55.20
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Answer:
a
Step-by-step explanation:
i took the test :)
Work out the circumference and area of the circular piee of glass needed for the top of a display cabinet which has a diameter of 1.8m. Use #=3.14? Circumference = in m and Area = in m2
Hello there!
Answer:
Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]
Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]
Step-by-step explanation:
We should know 2 important formulas:
Circumference: [tex]l = 2\pi r[/tex]
Area: [tex]S = \pi r^{2}[/tex]
So we need to find the value of r (radius) which equal to a half of diameter:
[tex]r = d/2[/tex]
[tex]r = 1.8/2 = 0.9(m)[/tex]
Circumference: [tex]l = 2\pi r = 2*3.14*0.9 = 5.652 (m)[/tex]
Area: [tex]S = \pi r^2 = 3.14 * 0.9^2 = 2.5434(m^2)[/tex]
What is the slope of the line that passes through the points (-6, -6) and
(-9, -5)? Write your answer in simplest form.
So basically what I do is find the formula for slope.
M= y2-y1/x2-x1
So I got
-5-(-6)/-9-(-6) = 1/3
answer = 1/3
:)
The water depth in a harbor rises and falls over time. The function f(t) = 4.1 sine (StartFraction pi Over 6 EndFraction t minus StartFraction pi over 3 EndFraction) + 19.7 models the water depth, in feet, after t hours.
During the first 24 hours, at what times does the water depth reach a maximum?
Answer:
Below
Step-by-step explanation:
f(t) = 4.1 (sin pi/6 t - pi/3) + 19.7 <===will be a maximum when the sin portion is equal to 1
so sin ( pi/6 t - pi/3) = 1 given that sin is equal to one at 0 and pi and 2 pi and 3 pi and 4 pi etc
pi/6 t - pi/3 = 0 or pi , 2 pi, 3 pi , 4 pi
then t = 2 and 8 and 14 and 20 hrs ( every 6 hrs starting with t = 2)
Quintin raked his customer’s lawn for 1.2 hours. If Quintin charges $20 per hour, how much money did he make?
23.9 dollars I believe (I needa waste characters thi)
martha has 17 043 943 957 points. 16 000 points equivilates to 50 $ off. How much money does Martha save?
Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.
How did Martha make her money?Martha Stewart is a lot of things, including a person who built a nativity during her time in jail. Snoop Dogg's close friend. somebody with a large number of peacocks. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line She was, in reality, America's first woman billionaire who had achieved success on her own.Now that Martha is no longer a billionaire (more on why in a bit), it is time to analyze her wealth.Celebrity In 1999, Martha Stewart and her business partner Sharon Patrick combined all of their endeavours into Martha Stewart Living Omnimedia (MSLO), which they then listed on the New York Stock Exchange. By the time trading ended, the stock had increased from $18 per share to $38 per share, making Martha practically instantly worth $1 billion.To more Learn about Martha Stewart Refer To:
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Draw a diagram of x + 2 and a separate diagram of 3x when x is 2.
The graph of the equation x + 2 would be a straight line that starts at the point (-2, 0) and goes up 2 units on the y-axis. So, the line would pass through the point (0,2) and would be parallel to the x-axis.
The graph of the equation 3x when x is 2 would be a straight line that starts at the point (0,0) and goes up 6 units on the y-axis for each 1 unit on the x-axis. So, the line would pass through the point (2,6) and would have a slope of 3.
What is diagram in mathematics?In mathematics, a diagram is a visual representation of mathematical concepts or ideas. Diagrams can take many forms, such as graphs, charts, illustrations, and figures, and can be used to help explain or understand mathematical concepts.
For example, a graph is a type of diagram that is used to represent the relationship between two variables. It is commonly used in algebra and calculus to show the relationship between an independent variable (x-axis) and a dependent variable (y-axis).
A chart is a type of diagram that is used to organize and present data. It is commonly used in statistics to show the distribution of data or to compare different sets of data.
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An Example of a caravan is
A. eight covered wagons travelings together on the trail
B. one covered wagon traveling by itself
C. a covered wagon passing a horse
D. a covered wagon traveling at top speed
An Example of a caravan is eight covered wagons traveling together on the trail. Meaning, option A is correct.
What is caravan?A caravan, travel trailer, camper, tourer, or camper trailer is a trailer towed behind a road vehicle to provide a more comfortable and secure sleeping space than a tent.
It allows people to have their own home on a trip or vacation without relying on a motel or hotel, and it allows them to stay in places where none are available. However, in some countries, campers are restricted to designated sites where fees must be paid.
Caravans range from basic models that are little more than a tent on wheels to those that have several rooms with all of the furniture, furnishings, and equipment of a home. The solid-wall trailers can be made of metal or fibreglass.
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A 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29. How much can be saved per ounce by guiding the larger box
The amount of money that can be saved per ounce by guiding the larger box is $0.009.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that a 38 ounce box of cat food costs $1.69 and a 24 ounce box costs $1.29.
For the larger box -
38 ounce box of cat food costs $1.69
1 ounce of this box will cost $(1.69/38) = $0.045
For the smaller box -
24 ounce box of cat food costs $1.29
1 ounce of this box will cost $(1.29/24) = $0.054
Money that can be saved per ounce by guiding the larger box -
0.054 - 0.045
0.009
Therefore, the amount of money that can be saved per ounce by guiding the larger box is $0.009.
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Malcom wrote the equivalent ratios shown below. Find the scale factor he used to write the equivalent ratios
9/40 and 54/240
In this question, we're looking for the number Malcom used to scale the two numbers. We can see there's a pattern, 9 is 1/6 of 54 and 40 is 1/6 of 240!
(54 divided by 9 is 6 and 240 divided by 40 is 6!)
therefore, the scale factor must be 6
the instructions are on the image please help me and please hurry!
The elements in matrix X is attached below
What is MatrixMatrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.
In this problem, we can easily find x by reversing the variables and solve.
A - X = B
X = A - B
The elements in the matrix can be solved easily using an online calculator.
The value of x is attached below
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hello i need help with my math question one only pease and thank you
a) The after-tax cost of the vehicle Rachel is buying is $29,368.70.
b) The part of the after-tax cost that Rachel will finance after making the down payment is $25,118.70.
c) The total payments after 5 years are $30,659.60.
d) The total interest Rachel paid is $1,290.90.
What is the interest payment?The interest payment represents the difference between the total monthly payments and the financing part of the after-tax cost of the vehicle.
The total monthly payments ($26,409.60) are obtained by multiplying the monthly payments ($440.16) by the number of payment periods (60).
Value of vehicle = $25,990
Harmonized sales tax (HST) = 13%
After-tax cost of the vehicle = $29,368.70 ($25,990 x 1.13)
Down payment = $4,250
Financing part = $25,118.70 ($29,368.70 - $4,250)
Monthly payments = $440.16
Financing period = 60 months (5 years x 12)
Total monthly payments = $26,409.60 ($440.16 x 60)
The total amount paid for the car = $30,659.60 ($26,409.60 + $4,250)
Total interest = $1,290.90 ($26,409.60 - $25,118.70)
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how long will it take me to finish 25 episodes anime with over 24 minutes each episode?
Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
The composite number 50 is between what two prime numbers?
Answer:
47 and 53
Step-by-step explanation:
list of prime numbers to 100:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97
50 is between 47 and 53
Ben has 50 toys. 15 of them are new and 9 are his favorites; 2 are new and favorites.
Ben is giving away all the toys that are neither new nor favorites. How many toys
does Ben give away?
Answer:
28 toys
Step-by-step explanation:
Ben has 50 toys, of which 15 are new, 9 are favorites, and 2 are new and favorites. You want to know the number that are neither new nor favorite.
GroupingsThe number of new toys includes (new and favorite) and (new and not favorite). That is ...
15 = 2 + new and not favorite
So ...
new and not favorite = 15 -2 = 13
Likewise, the number of favorite toys includes (new and favorite) and (not new and favorite). That is ...
9 = 2 + not new and favorite
not new and favorite = 9 -2 = 7
Donated
The total of 50 toys includes ...
total = (new and favorite) + (new and not favorite) + (not new and favorite) + (not new and not favorite)
50 = 2 + 13 + 7 + (not new and not favorite)
Then the number of (not new and not favorite) is ...
not new and not favorite = 50 -2 -13 -7 = 28
These are the toys that Ben gives away.
Ben gives away 28 toys.
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? Question
Drag the tiles to the correct boxes to complete the pairs.
Solve each equation using the square root property. Then, match the solutions to the equatio
Tiles
Help please
The solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,
x = [tex]\sqrt{13}[/tex] , - [tex]\sqrt{13}[/tex] , x = [tex]\sqrt{14}[/tex]i , - [tex]\sqrt{14}[/tex]i .
Given equations ,
[tex]x^{2}[/tex] + 81 = 0 ,[tex]x^{2}[/tex]-22 = -26 , 3[tex]x^{2}[/tex]-18=21 ,2[tex]x^{2}[/tex] +15 = -13
What is Quadratic equation ?
quadratic equation can be defined as the equation which is in the form of a[tex]x^{2}[/tex]+bx + c = 0 .
where a,b,c are constants .
By solving we get ,
[tex]x^{2}[/tex] +81 = 0
[tex]x^{2}[/tex] = -81
x = 9i , -9i
[tex]x^{2}[/tex] - 22 = -26
[tex]x^{2}[/tex] = -26 + 22
[tex]x^{2}[/tex] = -4
x = 2i,-2i
3[tex]x^{2}[/tex] - 18 = 21
3[tex]x^{2}[/tex] = 18+21
3[tex]x^{2}[/tex] = 39
[tex]x^{2}[/tex] = 13
x = [tex]\sqrt{13}[/tex] , - [tex]\sqrt{13}[/tex]
2[tex]x^{2}[/tex] +15 = -13
2[tex]x^{2}[/tex] = -13-15
2[tex]x^{2}[/tex] = -28
[tex]x^{2}[/tex] = -14
x = [tex]\sqrt{14}[/tex]i , - [tex]\sqrt{14}[/tex]i
Hence the solutions for the given equations are x = 9i , -9i , x = 2i,-2i ,
x = [tex]\sqrt{13}[/tex] , - [tex]\sqrt{13}[/tex] , x = [tex]\sqrt{14}[/tex]i , - [tex]\sqrt{14}[/tex]i .
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area of a parallelogram help wanted ty
The area of the parallelogram is 72 square units. Option B
How to determine the area of the parallelogramThe formula for calculating the area of a parallelogram is expressed as;
A = bh
Given that;
A is the area of the parallelogramb is the base of the parallelogramh is the height of the parallelogramFrom the information given, we have that;
The base of the parallelogram = x + yThe height of the parallelogram = hNow, substitute the values
x + y = 8 + 4
add the values
x + y = base = 12 units
h = 6 units
Now, substitute the values into the formula, we get;
Area, A = 12(6)
multiply the values
Area, A = 72 square units
Hence, the value is 72 square units
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What is the difference between 28%and 18%of 4900
Answer:
Step-by-step explanation:
Find the slope of the line.
Answer:
-5/4
Step-by-step explanation:
slope(m)= y2-y1/x2-x1
from the graph 5-0/-2-2
=5/-4
answer = -5/4
in the past year, a veterinarian finds a 35% of animals she treats are cats. Assuming the pets are brought to the vet randomly, what is the probability that exactly 2 of the next 5 animals brought in will be cats?
ax + by = 6000 and a + 5 = b are two equations that might be used to calculate how many soup cans and frozen dinners were purchased.
What is an equation?There are several methods to define a formula. A mathematical statement that establishes the equivalence of two mathematical expressions is the definition of an equation in algebra. This is best shown by the formula 3x + 5 = 14. In this instance, the word equal comes between the phrases 3x + 5 and 14. Even the most basic algebraic equations include the usage of mathematical variables.
X now has 300 mg of sodium in it.
[tex]x = 300[/tex]
Y also has 450 mg of sodium in it.
[tex]y = 450[/tex]
Samuel reportedly buys five more frozen dinners than soup cans, and they all have a combined salt content of 6000 mg.
Let the number of frozen dinners be "b," and the number of soup cans be "a."
ax + by = 6000
a(300) + b(450) = 6000 .
Samuel bought 5 more frozen dinners than soup cans, according to the inquiry, which results in equation
[tex]a + 5 = b \\a(300) + (a + 5)(450) = 6000\\300a + 450a = 6000 - 2250\\ 750a = 3750\\ a = 3750/750\\ a = 5\\5 + 5 = b\\ b = 10[/tex]
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The solution set of 12 x squared minus 14 x equals 10 is
The given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
What is a quadratic equation?A quadratic equation is a equation that is of the form -
y = f{x} = ax² + bx + c
Given is the statement as -
"12 x squared minus 14 x equals 10"
The given function can be written as -
f(x) = 12x² - 14x - 10
Refer to the graph attached. The x - intercepts show the solution of the given quadratic equation. So, we can write -
(x + 1/2)(x - 1.667) = 0
(x + 1/2) = 0 and (x - 1.667) = 0
x = -1/2 and x = 1.667
Therefore, the given quadratic equation has two possible roots as -
{x} = -1/2 and {x} = 1.667.
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The stranger decides to tell the captain his story. From the look on the stranger's face in Frankenstein, what kind of a story does the captain think he will hear?
A. A love story
B. A strange and harrowing story
C. A story that is funny and entertaining
D. A story that is boring and he really is not interested in hearing it
Answer: B strange and harrowing story.
Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.
The equation below represents the amount of work required to complete a project, where x represents the number of hours each group member must contribute to the project. How many hours does each group member work on the project? x+45/4=4x 2 hours 4 hours 16 hours 3 hours
The number of hours does each group member work on the project is 4 hours. Therefore, the correct answer is option B.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x+45/4=4x.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
4x-x=45/4
3x=45/4
x=15/4
x=3.75
x≈4 hours
Therefore, option B is the correct answer.
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Latoya's Coffee Shop makes a blend that is a mixture of coffee types A and B. In one bag of the blend, there are 6 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag?
The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg
What is a mixture?A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.
The coffee blend of LaToya shop = Type A and B
A bag of the coffee blend = 6kg of Type A.
4 bags of coffee blend = 36kg
Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A
Type B in each bag = 36 - 24 = 12/4 = 3kg.
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A giant satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the surface for the dish and are reflected to the focus, where the receiver is located. The satellite dish has a diameter of 300 feet and. depth of 44 feet. How far from the base of the dish should the receiver be placed? Round your answer to the nearest foot.
The answer of given parabola question is 6.125ft.
The definition of a parabola?a curve produced by the intersection of a cone's surface with a plane perpendicular to a straight line; a curve produced by a moving point whose distance from a fixed point is equal to its distance from a fixed line.
x² = 4py
x=radius which can be found by dividing d=14ft by half
x = d/2 = 11/2 = 7ft
y=2ft is the depth
p is the vertex of the parabola
finding p;p = x²/4y
p = 7²/4×2
p=6.125ft
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What is 2/3 plus 1/5 equal
Answer: 13/15
Step-by-step explanation: Hope this helps, please mark brainliest and give thanks!
2/3+1/5
15÷3*2+15÷5*1
10+3/15
13/15