The single fraction in its lowest terms will be;
⇒ - 7(2x - 1)/2
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
The fraction is,
⇒ 3 (2x - 1)/5 - 2 (4x - 2)/2
Now,
Solve the fraction as;
The fraction is,
⇒ 3 (2x - 1)/5 - 2 (4x - 2)/2
⇒ 3 (2x - 1)/5 - (4x - 2)
⇒ 3 (2x - 1)/5 - 2 (2x - 1)
⇒ (2x - 1) (3/5 - 2)
⇒ (2x - 1) (3 - 10)/2
⇒ (2x - 1) (- 7/2)
⇒ - 7(2x - 1)/2
Thus, The single fraction in its lowest terms will be;
⇒ - 7(2x - 1)/2
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Jessica and her family bought five tickets to a music concert tickets for adults cost $5.10 and tickets for children cost $3.60 Jessica and her family spent a total of $21 how many tickets for adults and how many tickets for children did they buy
Answer: 2 Adult 3 Kid
Step-by-step explanation:
5.10 x 2 = 10.2
3.60 x 3 = 10.8
10.8 + 10.2 = 21
select shapes which have one line of symmetry
Answer:
A semicircle has 1 line of symmetry.
Step-by-step explanation:
3. Lois Denominator, a mathematics examiner, receives £514.80 after tax has been deducted at 22% for marking papers. Calculate Lois’ pay before the tax had been deducted.
Lois’ pay before the tax had been deducted is £660.
Given:
Lois Denominator, a mathematics examiner, receives £514.80 after tax has been deducted at 22% for marking papers.
22% = 514.80
divide by 22 on both sides
22%/22 = 514.80/22
1%= 23.4
= 514.8/0.78
= 5148/10/78/100
= 5148*100/10*78
= 66*100/10
= 66*10
= £660.
Therefore Lois’ pay before the tax had been deducted is £660.
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Ted invests in an annuity which earns 6.2% annual interest and he contributes $250 per month for 30 years. If Ted wants to perform some calculations to determine his future value, what formula would Ted use?
The future value of the annuity investment is expressed in option A
Future ValueThe future value formula is used to calculate the future value (FV) of an investment with given inputs of compounding periods (N), interest/yield rate (I/Y), starting amount, and periodic deposit/annuity payment per period (PMT).
The formula can be expressed as
FV = [MP(1 + r/n)^nt - 1] / [r/n]
FV = future valuemp = monthly paymentr = rate n = number of times compoundedWe can substitute the values into the equation;
FV = 250[(1 + 0.062/12)^12 * 30] / 0.062 /12
The answer to this question is option A
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The three angles of a triangle measure x,y and 39. What is the equation to solve ?
The equation to solve when the three angles of a triangle measure x,y and 39 is x + y + 39 = 180°.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
It is important to note that the total angles in a triangle is 180°.
Therefore, in this case, the angles will be illustrated thus:
x + y + 39 = 180. This illustrates the equation.
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Which of the following is the formula for the solutions of a quadratic equation ax2 + bx + c = 0?
What is the answers please
The answer of the given multiplication is 19.2, 1.7, 15.93 and 0.0512 respectively.
To find the answer, we will simply multiply the given numbers.
i) 3.2 × 6 = 19.2
ii) 8.5 × 0.2 = 1.7
iii) 2.7 × 5.9 = 15.93
iv) 0.32 × 0.16 = 0.0512
Hence, the answers is 19.2, 1.7, 15.93 and 0.0512 respectively.
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damian bought a new game station for $774 using the stores zero intrest finace plan. He will pay$43 a month for 18 months. Which equation csn he use ti fund out how much money he still owes
The equation Damian can use to found out how much money he still owes is -
y = - 43x + 774
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
We have the following problem -
Damian bought a new game station for $774 using the stores zero interest finance plan. He will pay $43 a month for 18 months.
We can represent the equation he can use to found out how much money he still owes using a straight line as follows -
y = 774 - 43x
y = - 43x + 774 [x] is the number of month
Therefore, the equation Damian can use to found out how much money he still owes is -
y = - 43x + 774
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help please i am stuck on this problem ??
Answer:
Evaluating the function [tex]f(x)=2x^2[/tex] for the first five positive integers of [tex]x[/tex]:
[tex]f(1)=2(1)^2=2(1)=2[/tex]
[tex]f(2)=2(2)^2=2(4)=8[/tex]
[tex]f(3)=2(3)^2=2(9)=18[/tex]
[tex]f(4)=2(4)^2=2(16)=32[/tex]
[tex]f(5)=2(5)^2=2(25)=50[/tex]
Which graph represents a system of equations that has no solution?
Answer:
It is A
Step-by-step explanation:
I have brainly tutor and had that exact question
I need help with this geometry question
The value of x will be 9.8 m.
The value of y will be 11.2 m.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The two triangles are similar.
Now,
Since, The two triangles are similar.
So, We get the sides are proportional to each other.
Hence, We can formulate;
⇒ 4/5.6 = 7/x
Solve for x as;
⇒ x = 7 × 5.6 / 4
⇒ x = 9.8 m
And, 4/5.6 = 8/y
Solve for y;
⇒ y = 8 × 5.6 / 4
⇒ y = 11.2 m
Thus, The value of x will be 9.8 m.
The value of y will be 11.2 m.
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solve ABC given BC= 61cm, AB=57cm and B= 190 degree.
Answer:
Your question is missing some parts
and the degree seems off is it 90⁰
Find the measure of EACH numbered angle. m
The value of x in the given triangle is x = -8 .
Angle Sum Property of the Triangle states that the sum of measure of all three sides of the triangle is 180° .
In the question ,
a triangular figure is given
in which , the measure of first angle is 51°
the measure of second angle is 83°
the measure of third angle is (x + 54)°
So , By Angle sum property ,
we get
first angle [tex]+[/tex] second angle [tex]+[/tex] third angle [tex]=[/tex] 180°
substituting the values of angles
we get
51° + 83° + (x + 54)° = 180°
134 + x + 54 = 180
188 + x = 180
x = 180 - 188
x = -8
Therefore , the value of x in the triangle is -8 .
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The cost of a jacket increased from $75.00 to $84.75. What is the percentage increase of the cost of the jacket?
A.
1.3%
B.
87%
C.
13%
D.
9.75%
Answer:
c) 13%
Step-by-step explanation:
Given information,
→ The cost of a jacket increased from the price $75.00 to $84.75.
Now we have to,
→ find the % increase of cost of jacket.
Let's solve the problem,
→ ((84.75 - 75)/75) × 100
→ (9.75/75) × 100
→ 0.13 × 100
→ 13%
Hence, the answer is 13%.
Leg A of a right triangle is 12 inches long, and the hypotenuse, C, is 13 inches long. How long is the other leg, B?
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The valid equations are written below. Then the correct options are C, D, and E.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The sum of the two interior angles is equal to the exterior angle of the third angle.
The sum of the supplementary angle will be 180°.
From the diagram, the equations are written as,
m∠5 + m∠6 = 180° (Supplementary angle)
m∠2 + m∠3 = m∠6 (Exterior angle)
m∠2 + m∠3 + m∠5 = 180° (Angle sum of triangle)
Then the correct options are C, D, and E.
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The complete question is attached below.
caliper assessment Choose the answer that best completes the visual analogy #64
The answer that best completes the visual analogy of caliper is the first option (picture attached)
How to get the next movement of the caliperInformation given in the question
A polygon of 5 sides
Visual analogy refers to using the power of sight to detect of feel things
A polygon of 5 sides is called pentagon is used to describe the caliper
The movement is forecasted by:
Firstly, the question mark symbol "?" the line mark will go the spot the symbol ? appearedSecondly, the dot at the center will not be dark but remain a hollow spotconsidering these the first option become the best option
The line mark will align where the ? was positioned and the center will not be a dark spot
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Find a formula for the nth term in this
arithmetic sequence:
a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...
an =?n+
Answer: an=4n+5
Step-by-step explanation:
a1 = 9, a2 = 13, a3 = 17, a4 = 21, ...
A formula for the nth term of the arithmetic sequence:
[tex]a_n=a_1+d(n-1)[/tex]
where: a₁ - is the first term of the arithmetic sequence
d - is the difference between the terms of the arithmetic sequence
d=a₂-a₁=a₃-a₂=a₄-a₃= ...
d=13-9=17-13=31-17= ...
d=4
n - is the number of the arithmetic sequence term
[tex]a_n=9+4(n-1)\\\\a_n=9+4n-4\\\\a_n=4n+5[/tex]
Eve needed to collect the eye color of 50 random people for a high school statistics project. Being shy, she felt more comfortable collecting the data from 20 arbitrary classmates, 12 arbitrary neighbors, and 18 arbitrary members of her bible study group. Upon hearing of her data collection process, her project partner, Adam, stated that all the data was useless. His rationale was that the data was not truly random since Eve knew the people in her sample. Adam believed random data must come from strangers. Do you believe Adam is correct or is Eve's data actually random? Explain your position.
Eve's data is a random sampling since she picked the participants randomly.
What is a random sampling?A simple random sample is a subset of a population chosen at random. This sampling strategy gives each person of the population an exact equal chance of being chosen, reducing the likelihood of selection bias.
To be considered a truly random sample, every subject in your target demographic must have an equal chance of being chosen. Conducting a study to estimate the length of time college students workout at your campus each week is an example of breaking this assumption.
In this case, Eve needed to collect the eye color of 50 random people for a high school statistics project and she felt more comfortable collecting the data from 20 arbitrary classmates, 12 arbitrary neighbors, and 18 arbitrary members of her bible study group. In this case, she picked them randomly. In Adam's case, it doesn't necessarily have to be strangers.
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I need help with this problem
Answer:
whats the problem
Step-by-step explanation:
The next model of a sports car will cost 13.6% less than the current model. The current model costs $42,000. How much will the price decrease in dollars? What
will be the price of the next model?
Decrease in price:
Price of next model:
The decrease in price in dollars of the next model of the car is $5712 and the price of next model is $36288.
According to the question,
We have the following information:
The next model of a sports car will cost 13.6% less than the current model. The current model costs $42,000.
We will find the 13.6% of 42,000 to find the decrease in the price of the next model:
(13.6*42000)/100
$5712
Now, the price of next model will be:
42000-5712
$36288
Hence, the decrease in price in dollars of the next model of the car is $5712 and the price of next model is $36288.
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Select the correct answer.
Which set of absolute values is compared correctly?
A. -71 <181<|9|<1-10|
B.1-41 <1-3/<13<|4|
C. 1211-51> |-7|>1-81
D. 1-41>19> |-31 >|-10|
Answer: A
Step-by-step explanation:
The absolute value of a number is its relative distance from zero, so it doesn't matter if it is negative. For example, -3 and 3 are both 3 units away from zero on the number line.
If the sales tax rate is 5% in Texas, then how much sales tax would you pay in Houston for a $52 bag of dog food?
Please answer quickly!
Thank you ^^
The cost of the sales tax in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The sales tax percentage in Texas = 5 %
= 5 / 100
= 0.05
The cost of 1 bag of dog food in Houston = $ 52
Now ,
The sales tax cost is calculated by the equation ,
The sales tax cost =
Sales tax percentage in Texas x cost of 1 bag of dog food in Houston
The sales tax cost = $ 52 x 0.05
= $ 2.60
And , the total cost of 1 bag of dog food = cost of 1 bag of dog food in Houston + sales tax cost
Total cost of 1 bag of dog food = $ 52 + $ 2.60
= $ 54.60
Therefore , the sales tax cost is $ 2.60
Hence , the sales tax cost to pay in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60
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The monthly cost of operation at a company, C, given in dollars as a function of the number of units produced per month, u, is given below.
C = $3,173 + $31u
If the company wants to keep the cost of operation under $14,000 per month, what is the maximum number of units they can produce?
A. 3,490
B. 350
C. 3,491
D. 349
If the company wants to keep the cost of operation under $14,000 per month, The maximum number of units they can produce is: D. 349.
How to find the number of units?Given function:
C = $3,173 + $31u
Hence,
Let u represent number of units
Let c represent the operation cost
Where c = $14,000 per month
$14,000 = $3,173 + $31u
Combine like terms
$14,000 - $3,173 = $31u
$10,827 = $31u
Divide both side by $31u
u = $10,827 / 31
u = 349 units
Therefore the correct option is D.
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The triangle and the square shown have the same perimeter. Solve the equation 3x+4x+5x=4(x+2)
The solution of the linear equation:
3x+4x+5x=4(x+2)
is x = 1
How to solve the linear equation?Here we need to solve the following linear equation:
3x + 4x + 5x = 4*(x + 2)
First, we should expand the right side to get:
3x + 4x + 5x = 4x + 8
Now we group like terms:
3x + 4x + 5x - 4x = 8
Taking x as a common factor in the left side:
(3 + 4 + 5 - 4)*x = 8
(3 + 5)*x = 8
8x = 8
x = 8/8
x = 1
The solution is x = 1.
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Two student groups went to an amusement park on the same day. Group 1 bought 9 tickets and received a $120 discount. Group 2 bought 3 tickets and received a $30 discount. Both groups spent the same total amount of money on tickets. The price of each ticket was the same. What was the cost of each ticket?
The cost of each ticket of the amusement park is $15.
What is the system of equation?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Two student groups went to an amusement park on the same day.
Group 1 bought 9 tickets and received a $120 discount.
Group 2 bought 3 tickets and received a $30 discount.
Let x be the amount of one ticket and y be the total amount.
According to the question:
We have system of equation,
y = 9x - 120 equation1
y = 3x - 30 equation 2
Subtract the equation 2 to equation 1.
So, 6x = 90
x = 15
Therefore, $15 is the cost of each ticket.
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The side length of a square is √8, find the perimeter.
is the number rational or irrational?
Step-by-step explanation:
Square has perimeter 4a because every side is equal,
so :
if a=√8 , then 4a = 4*√8 or 11.313708499
and the number is rational
x-6=-[tex]\frac{1}{6}[/tex]y²
2x+y=6
Solve algebraically
PLEASE ANSWER AS SOON AS POSSIBLE WITH EXPLANATION!!!!! THANK YOU!!!
Solve using substitution.
x = –6
x − y = –5
looooooooooooooooootttttttsss offffffffffffffffffff pointtttttttttttttttttttssssssssssssssssssssssssss
Line AD and line EG are parallel line, Transversal CH < ABC and EFH are same side exterior angles
What are same side exterior angles?The presence of two parallel lines and a transversal line leads to some important theorem used in geometry
Some of the theorems include
alternate interior anglesalternate exterior anglescorresponding angles same side exterior anglesThe exterior angles refers to angles above line AD and below line EG, which are the parallel lines. These angles according to the figure are 4 and they include
< ABC< CBD< EFH< GFHThe exterior angles to the left of the transversal line forms a pair of same side exterior, similarly, to the right of the transversal line forms another pair of same side exterior angles.
The question is asking of same side exterior angles to < ABC, which is to the left of the transversal line. The pair that are same side exterior angles to the left of the transversal line are
< ABC< EFHHence < EFH and < ABC are same side exterior angles
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