Both the methods can be used to solve a mixed fraction including a whole number and a fraction or solving the difference of a whole number and a fraction.
What is Mixed Fraction?Mixed fractions are type of fractions which involve a whole number and a fraction. This is of the form a [tex]\frac{b}{c}[/tex]. This is actually a + [tex]\frac{b}{c}[/tex].
You can use either methods when solving a whole number and a fraction.
Let us take a whole number 3 and a fraction [tex]\frac{2}{10}[/tex] for instance.
First Method :
Solve it by cross multiplication.
Let the denominator of the whole number 3 be 1.
[tex]\frac{3}{1}[/tex] ± [tex]\frac{2}{10}[/tex] = [(3 × 10) ± (2 × 1)] / (1 × 10) = [30 ± 2] / 10
If the question is for adding, we get, [tex]\frac{3}{1}[/tex] + [tex]\frac{2}{10}[/tex] = (30 + 2) / 10 = 32/10
If the question is finding difference, we get, [tex]\frac{3}{1}[/tex] - [tex]\frac{2}{10}[/tex] = (30 - 2) / 10 = 28/10
Second Method :
Again let the denominator of the whole number be 1.
Find the LCD (Least Common Denominator) of 1 and 10.
This is 10.
So we have to make the denominator of [tex]\frac{3}{1}[/tex] to 10.
Multiply both numerator and denominator with 10, we get 30/10.
A normal multiplication of fractions, if the denominator is same add or subtract the numerators let the denominator be as such.
Now add or subtract [tex]\frac{30}{10}[/tex] ± [tex]\frac{2}{10}[/tex] = (30 ± 2) / 10.
Hence both the methods can be used.
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Elroy bought a $4210 custom video gam e/ virtual sound system on a special no-interest plan. He made
The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.
How is the last payment determined?The last payment amount is the result of the mathematical operations of subtraction and multiplication.
The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.
Using multiplication, the monthly payments are determined to be $3,400 for 17 months. This is subtracted from the remaining balance to obtain the last payment amount.
The cost of a custom video game/virtual sound system = $4,210
Down payment = $100
The remaining balance for monthly payment = $4,110 ($4,210 - $100)
Payment period = 18 months (1¹/₂ years)
Monthly payments = $200
Payment for the first 17 months = $3,400 (17 x 200)
Last payment = $710 ($4,110 - $3,400)
Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.
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Question Completion:He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?
Everv goat has eaten a wolf: There is a wolf who has eaten every goat; Every goat is eaten by a wolf Some goat was eaten by wolf: Question 6 (1 point) Let A - { 1,2,3 and B = { 5,4,2,3 }. Select all that are true from below: A U B = {5,3,2,4] A 0 B = { 2 , 3 } A - B = { 1,3 } B - A = {4,5 }'
All of the statements are true.
Here is a breakdown of the set operations:
A U B (the union of A and B) is the set of all elements that belong to either A or B or both. In this case, the elements that belong to
A U B are {5, 3, 2, 4}, as these are the elements that belong to either A or B.A ∩ B (the intersection of A and B) is the set of all elements that belong to both A and B. In this case, the elements that belong to
A ∩ B are {2, 3}, as these are the elements that belong to both A and B.A - B (the difference between A and B) is the set of all elements that belong to A but not to B. In this case, the elements that belong to
A - B are {1}, as 1 belongs to A but not to B.B - A (the difference between B and A) is the set of all elements that belong to B but not to A. In this case, the elements that belong to
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It is a popular misconception that nuclear fusion power is free of radioactivity; in fact, the deuterium-tritium reaction that nuclear scientists are currently exploring with such zeal produces both alpha particles and neutrons. (The neutrons are used to produce tritium from a lithium blanket surrounding the reactor.) Another common misconception is that nuclear fusion power is a virtually unlimited source of energy because of the enormous quantity of deuterium in the sea. Actually, its limits are set by the amount of available lithium, which is about as plentiful as uranium in the Earth's crust. Research should certainly continue on controlled nuclear fusion, but no energy program should be premised on its existence until it has proven practical. For the immediate future, we must continue to use hydroelectric power, nuclear fission, and fossil fuels to meet our energy needs. The energy sources already in major use arc in major use for good reason.
The primary purpose of the passage is to caution against uncritical embrace of nuclear fusion power as a major energy source.
Why is nuclear fusion important?Nuclear fission generates a significant amount of radioactive waste, which can be hazardous and needs to be stored securely for a long period of time. Nuclear fusion waste has a lower radioactivity and decays significantly more quickly. Fossil fuels like gas and oil are not required for nuclear fusion.
What is radioactivity?Radiation that is released voluntarily is referred to as radioactivity. An atomic nucleus that is unstable for some reason accomplishes this by "wanting" to give up some energy in order to change its configuration to one that is more stable.
The passage begins by classifying as misconceptions favorable views about nuclear fusion power and finishes by recommending the use of current energy sources going forward rather than nuclear fusion power. All of this adds up to the text trying to warn against uncritically embracing nuclear fusion power as a major source of energy.
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f(x)=3x²+42-6
g(x)=62-5²-2
Find (f+g)(x).
O A. (f+g)(x) =-628+82 +42-4
O B. (f+g)(x) = 6r³-2r² +42-8
O c. (f+g)(x) = 9r³-2-8
OD. (f+g)(x) = 6x³+3x²-2-8
The composite function (f + g)(x) is (f + g)(x) = 9x² - x - 8
How to determine the composite functionFrom the question, we have the following parameters that can be used in our computation:
f(x)=3x²+42-6
g(x)=62-5²-2
Express properly
So, we have the following representation
f(x) = 3x² + 4x -6
g(x) = 6x² - 5x - 2
The composite function is then calculated as
(f + g)(x) = f(x) + g(x)
So, we have
(f + g)(x) = 3x² + 4x -6 + 6x² - 5x - 2
Evaluate
(f + g)(x) = 9x² - x - 8
Hence, the function is (f + g)(x) = 9x² - x - 8
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The area of a rectangle is 9/10 square meter. The width is 2/5 meter. b. How many times greater is the length than the width? Write your answer in simplest form.
Answer:
Step-by-step explanation:
a = lw
l = a/w
l = (9/10)/(2/5) = (9/4)
l/w = (9/4)/(2/5) = 5 5/8 times greater
Answer:
4.5/2 = 2.25
Dif: 2.25/0.4 = 5.625 times greater
Hope this helps
a volunteer group decided to pick up trash along a stretch of road measuring five and one third miles. the group divided into five teams to cover an equal distance. What distance will each group have to cover?
Answer: 1 [tex]\frac{1}{15}[/tex] miles
Step-by-step explanation:
We will divide the length of the road, five and one-third miles by the number of groups, five teams, to find the answer to this question.
(5 1/3) / 5 = (16/3) / 5 = (16/3) * (1/5) = 16/15 = 1 1/15 miles
* Note: We can use "keep change flip" when multiplying with fractions. Keep the first number, change to multiplication, flip to the reciprocal of the second number
Alexandra and Maris are playing a game where they guess how many sides the regular polygon the other is holding has. Alexandra says her regular polygon has exactly 12 lines of symmetry. Maris says her regular polygon has an angle of rotational symmetry of 24°. How many sides does each regular polygon have?
The number of sides of Alexandra's regular polygon is 12.
The number of sides of Maris's regular polygon is 15.
What is a regulars polygon?
A regular polygon is denoted a area. The area bounded by equal length of arms. The angel between any two consecutive arms will same any other pair of consecutive arms.
The number of line of symmetry of a polygon is the same is the number of arm or sides of that polygon.
Thus the number of sides of a polygon that has 12 lines of symmetry is 12.
The angle of rotational symmetry of a polygon is 360°/n, where n is the number of arms.
Therefore,
Angle of rotational symmetry = 360°/n
Putting Angle of rotational symmetry = 24°:
24° = 360°/n
Multiply both sides by n
24n = 360
Divide both sides by 24:
n = 360/24
n = 15
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i literally don’t know
Answer:
Reason 5.
All right angles are congruent.
Reason 6.
ASA
(You have 2 angles and the included side of the two triangles, so by ASA (angle-side-angle) the triangles are congruent.)
If the 8th term of a sequence is 256, and the 5th term of the sequence is 32, the common ratio is:
The geometric sequence have a common ratio of 2
Geometric SequenceGeometric progression (GP) is a type of sequence where each next term is gotten by multiplying each previous term by a fixed number, which is called a common ratio.
In this problem, we must write out two equations to find the common ratio.
Let;
r = common ratioa = first termThe nth term of a GP is given as;
Tn = arⁿ⁻¹
T₈ = ar⁷
256 = ar⁷ ...eq(i)
T₅ = 32
32 = ar⁴ ...eq(ii)
Dividing equation (i) by equation (ii)
256 / 32 = ar⁷ / ar⁴
8 = r⁷⁻⁴
8 = r³
r = ∛8
r = 2
The common ratio of the geometric sequence is 2
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Consider the differential equation dy/dx = 1/3x(y-2)^2.
(a) A slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point (0, 2), and sketch the solution curve that passes through the point (1, 0).
(b) Let y = f(x) be the particular solution to the given differential equation with initial condition f(1) = 0. Write an equation for the line tangent to the graph of y = f(x) at x = 1. Use your equation to approximate f(0.7).
(c) Find the particular solution y = f(x) to the given differential equation with initial condition f(1) = 0.
The graph is given below and the value of the function is -0.4 at x = 0.7.
What is a differential equation?Any equation with a variable difference in it is a difference equation. The following variables affect how different equations are categorized. • The equation's order. The highest order of difference in the equation is represented by the order.
y = Mt (x - 1) + 0
Where Mt = 1/3* 1(0-2)²
Mt = 1/3*4
Mt = 4/3
From equation 1
y = (4/3)(x - 1)
Function at x = 0.7
f(0.7) = 4/3(0.7 -1 )
= 4/3(-0.3)
F(0.7) = -2/5
Let, u = y - 2
du = dy
[tex]\int\limits {1/(y-2)^2} \, dy = \int\limits {x/3} \, dx \\\int\limits{du/ u^2} \, du = 1/3 \int\limits{x} \, dx[/tex]
-1/u = 1/3( x²/2) + c
-1/(y+2) = x²/6 + c
At point(1 , 0 )
c = 2/6
Thus
-1/(y-2) = x²/ 6 - 1/3
y = -6/(x² + 2) + 2
Therefore, value of the function is -0.4 at x = 0.7.and function at x = 1 is
y = -6/(x² + 2) + 2
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someone mind helping me in the question......thank you :) ....
Answer:
NY: 4cm + 3cm = 7cm
XY: 8cm + 3cm = 11cm
Step-by-step explanation:
1. find the difference between XN and MN
2. use the difference to add to the value LN and LM
A manufacturer puts tires on two cars (four tires each). Each tire has a 10% probability of being flat. Assume the manufacturer puts four tires on one car first and then another four on the next car second. What's the probability that there is at least one car that has no working tires?
The probability that there is at least one car that has no working tires is given as follows:
0.0002 = 0.02%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.For each car, the parameters are given as follows:
p = 0.9, n = 4.
Hence the probability that a car has no working tires is given as follows:
P(X = 0) = (1 - 0.9)^4 = 0.0001.
Hence the probability that two cars have working tires is given as follows:
P(X = 2) = (1 - 0.0001)² = 0.9998.
The probability that at least one has no working tires is given as follows:
P(X < 2) = 1 - 0.9998 = 0.0002 = 0.02%.
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may someone give me the answer
Answer:
x represents the number of hours.
(y) distance because the distance depends on the number of hours traveled.
H(x) = 50x
H(5) = 50(5)
H(5) - 250 miles
After 5 hours of driving at 50 miles per hour, the car has traveled 250 miles.
Step-by-step explanation:
describe a procedure that you would use to localize the protein dynein in tissue sections of esophagus and trachea. indicate the results that you would expect from such an analysis.
Therefore, the five steps are taken to localize the protein dynein in tissue sections of the esophagus and trachea.
What is localization?Any procedure that involves moving, attaching to, or otherwise maintaining a cell, substance, or cellular entity in one place, like an organelle or protein complex. Substance localisation can also be accomplished through selective degradation.
In this case,
the steps that are done in order to localize the protein dynein in tissue sections of the esophagus and trachea are as follows:
1. Histoclear removes the medium to enable the labeling of the antibodies
2. to rehydrate the sample, add water.
3. Using BSA blocking solution after Triton X- 100, which ruptures membranes and makes antigens more accessible to antibodies
(4) Add the dynein antibody.
5. include a secondary antibody that is likewise peroxidase-active (adds specificity)
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What is the y-value of the solution for this system of equations:
4x - y = 10
x - 4 = y
The required value of y is obtained as -2.
What are the types of a system of equations?The given system of equation can either have a unique solution, more than one solutions or no solution.
On this basis they are divided into two parts consistent and inconsistent.
A consistent system has one or more solutions while for an inconsistent system there are no solutions.
The given system of equations is as below,
4x - y = 10 (1)
x - 4 = y (2)
Substitute the value of y from equation (2) into equation (1) to get,
4x - (x - 4) = 10
=> 3x + 4 = 10
=> 3x = 6
=> x = 2
Then, substitute x = 2 in x - 4 = y to get,
y = 2 - 4 = -2
Hence, the value of y for the given system of equations is -2.
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one and three fifths plus three and two thirds equals blank
Answer: 5 4/15
Step-by-step explanation:
1 3/5 + 3 2/3 = 8/5 + 11/3
Find the common denominator (5 and 3) = 15
So 8/5 equals to 24/15 because if 5 x 3 = 15 , 8 must also multiply by 3.
11/3 equals to 55/15 because if 3 x 5 = 15 , 11 must also multiply by 5.
Thus 24/15 + 55/15 = 79/15
This is an improper fraction, so converting to mixed number:
79/15 = 5 4/15 because 5 x 15 + 4 = 79
17.
Last week, the price of apples at a grocery store was $1.60 per pound. This week, apple:
at the same grocery store are on sale at a 10% discount. What is the total price
1
of 4.
2
pounds of apples this
week at the grocery store?
A
$4.77
B
$6.48
$6.75
D
$6.93
Answer:
Totally It Would Be 6.48
vi
18,500
-how did you divide this? 1,295 divided by 18,500
Answer:
0.07
Step-by-step explanation:
evaluate f(x)=-25x^4+3x^2+2
f(x)=-25x^4+3x^2+2 = f'(x)=-100x^3+6x
Take derivation
f'(x)=d/dx(-25x^4+3x^2+2)
Formula
d/dx(f+ g)=d/dx(f) + d/dx(g)f'(x)=d/dx(-25x^4)+d/dx(3x^2)+d/dx(2)
Formula
d/dx(x^a)=ax^(a-1)f'(x)=-25(4x^3)+3(2x)+0
f'(x)=-100x^3+6x
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For the given probability distribution, what is P(X<4) ?
Step-by-step explanation:
5. the most significant challenge that small businesses face is financial problems.
If 3(x+1)=4x-1, then x=
Answer:
X = 4Step-by-step explanation:
To solve the equation 3(x+1) = 4x-1, we need to use the rules of algebra to isolate the variable "x" on one side of the equation and simplify the other side.
First, we can distribute the 3 on the left side of the equation to obtain 3x + 31 = 4x-1. This gives us 3x + 3 = 4x-1.
Next, we can subtract 3x from both sides of the equation to obtain 3 + 3 = 4x-1-3x. This simplifies to 3 = x-1.
Now we can add 1 to both sides of the equation to obtain 3+1 = x. This gives us the final solution x = 4.
Therefore, the solution to the equation 3(x+1) = 4x-1 is x = 4.
Is (2, 10) a solution to this system of equations?
y = x + 8
y = 10x + 3
yes
Submit
no
Point (2,10) is not satisfying the linear function y = 10x + 3 thus it will be not the solution of the system of equations.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given point (2,10)
Put it into y = x + 8
10 = 2 + 10 = 10 (satisfy)
Put it into y = 10x + 3
10 = 10 x 2 + 3 = 23 ≠ 10 (Not satisfy)
Hence "Point (2,10) will not be the system of equations' solution since it does not fulfill the linear function y = 10x + 3".
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Answer the following questions.
1) Choose the equation of a line parallel to the given equation and passing through a point P.
x+2 y=5 ; P=(2,-5)
y=-1/2 x-1
y=2 x-4
y=-2 x-1
y=-1/2 x-4
2) Choose the equation of a line parallel to the given equation and passing through a point P.
-3 x-y=-4 ; P=(1,4)
y=-3 x+5
y=-3 x+7
$y=1/3 x-3
$y=1/3x+7
The linear functions in this problem are given as follows:
1. y = -x/2 - 4.
2. y = -3x + 7.
How to define the linear functions?Considering the options in these problems, the linear functions are defined in slope-intercept format, given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope.b is the y-intercept.The slope-intercept definition of the two equations presented in this problem are given as follows:
y = -0.5x - 5.y = -3x + 4.When two linear functions are parallel, they have the same slope, hence the two functions will be given as follows:
y = -0.5x + b.y = -3x + b.For item 1, when x = 2, y = -5, hence the intercept b is calculated as follows:
-5 = -0.5(2) + b
b = -5 + 1
b = -4.
For item 2, when x = 1, y = 4, hence the intercept b is calculated as follows:
4 = -3(1) + b
b = 7.
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A company is painting the exterior walls of a warehouse. find the lateral surface are of the walls in square feet if the walls are 100 ft., 200 ft, and 30 ft
The lateral surface area of the walls of the warehouse is 18,000 sq ft.
Area is a measure of the size of a surface or the amount of space that a two-dimensional shape occupies. It is typically measured in square units, such as square feet or square meters. The area of a shape is calculated by multiplying the length and width of the shape together.
To find the lateral surface area of the walls of the warehouse, you need to find the combined area of all the exterior walls. To do this, you can use the formula for lateral surface area, which is:
Lateral Surface Area = 2 * (l * h + w * h)
where l is the length of the wall, w is the width of the wall, and h is the height of the wall.
Using this formula, we can find the lateral surface area of each wall and add them together to get the total lateral surface area:
Wall 1: Lateral Surface Area = 2 * (100 ft * 30 ft) = 6,000 sq ft
Wall 2: Lateral Surface Area = 2 * (200 ft * 30 ft) = 12,000 sq ft
Total Lateral Surface Area = 6,000 sq ft + 12,000 sq ft = 18,000 sq ft
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Naill was trying to find the value of
1+2+3+4+5......+2020
but forgot one number. His result was a multiple of 2015. Which number did he forgot?
Answer:
please set me in star
find the measure of m
Answer:
47*
Step-by-step explanation:
Each corner of the square is 90*
angle CBE + angle ABE = 90*
fill in the blanks
43 + x = 90
subtract 43 from both sides
x = 47*
what is the probability distribution that has a mean of 1 and a standard deviation of 0?
The required explanation of probability distribution that has a mean of 0 and a standard deviation of 1 is describe below.
What is probability distribution?Probability distributions help to show our reality, empowering us to get evaluations of the likelihood that a specific occasion might happen, or gauge the inconstancy of event. They are a typical method for depicting, and potentially foresee, the likelihood of an occasion
According to question:The mean of the z-scores is dependably 0. The standard deviation of the z-scores is dependably 1. The chart of the z-score dissemination generally has a similar shape as the first conveyance of test values. The amount of the squared z-scores is dependably equivalent to the quantity of z-score values.
Thus, it is dependable.
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Correct question:
A normal probability distribution can have any value of the mean or must have a standard deviation of 1 and a mean of 0?
WHAT IS THE M(X) IN THE REGRETION EQUATION Y=20.23*X+516.1
The M(x) or the estimate slope is 20.23X
What is the regression equation?A regression equation is used in stats to find out what relationship, if any, exists between sets of data. For example, if you measure a child’s height every year you might find that they grow about 3 inches a year. That trend (growing three inches a year) can be modeled with a regression equation.
[tex]Y_i=f(X_i, \beta)+e_i[/tex] [tex]Y_i[/tex] = dependent variable
[tex]X_i[/tex] = independent variable
[tex]\beta[/tex] = unknown parameters
[tex]e_i[/tex] = error terms
Given here, Y=20.23*X+516.1
Thus comparing it with the equation above we can deduce that
M(x) = 20.23x
Hence The M(x) or the estimate slope is 20.23X
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PLEASE HELP!!!!
Jamal works as a valet and a waiter at a restaurant. As a valet, Jon made $10.25 an hour and an additional $50.10 in tips, while at the restaurant he made $6.75 an hour and an additional $125 in tips. He made the same amount of money at both jobs last week.
Part A: Select the equation that can be used to determine the number of hours Jamal worked last week.
Part B: The total amount of money that Jamal made when both paychecks were the same is $
Since ,the amount is same in both jobs as valet and waiter thus the total amount of money he made is $538.9
What is equation?Equation: a claim that two expressions with variable- and/or number-filled expressions are equivalent. Mathematical development has been sparked by the desire to find solutions to equations, which are really just questions.
Here,
Part A:
Jamal works as a valet made $10.25 an hour and an additional $50.10 in tips,
Thus number of hours be x
equation : 10.25x + 50.10 =0
or
Jamal works as a waiter made $6.75 an hour and an additional $125 in tips
equation : 6.75x + 125 = 0
Part B:
The total amount he made when both paychecks are same
=> 6.75x + 125 = 10.25x + 50.10
=> 10.25x-6.75x = 125-50.10
=>3.5x = 74.9
=>x=74.9/3.5 =21.4
Thus the total amount he made
10.25(21.4) + 50.1 = 269.45
and
Total amount = 2* 269.45=538.9
Since ,the amount is same in both jobs as valet and waiter thus the total amount of money he made is $538.9
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Using the quadratic formula to solve 2x² = 4x-7, what are the values of x?
O2+√101
2±
O 1± 101
2± √/10/
2
O 1± √√51
Answer:
x would be equal to 5 and the other one to your right would be 3 because O1t is aka known as a linear expression so you would have the multiply by 2 and use and exponent square