Therefore , the solution of the given problem of unitary method comes out to be Mr. Tan makes a total of $30 Plus $18 = $48.
An unitary method is what?To finish the job using the unitary technique, the equation from this nano section should be multiplied by two. In essence, when a wanted object is present, both the characterised by either a group and the pigment sections are omitted from the unit method. A variable fee of Inr ($1.01), for instance, would be paid for 40 pens. It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.
Here,
Let's name the CDs' pre-tax cost "x" for simplicity. The overall cost of the CDs before tax is two times because Lena purchased two of them for the same price. The cost of the Discs, with the addition of the $1.80 sales tax, is:
=> 2x + $1.80
Given that we know the final price, including tax, was $23.40, we can create the following equation:
=> 2x + $1.80 = $23.40
By deducting $1.80 from each half, we arrive at:
=> 2x = $21.60
When you divide both parts by 2, you get:
=> x = $10.80
As a result, each Disc cost $10.80 before taxes.
We can create another equation now that we know his revenues from selling apple juice are $12 higher than his profits from selling lemon juice:
=> 30n - 18n = 12
=> 12n = 12
=> n = 1
As a result, Mr. Tan sells 2n + 5n = 7n = 7 glasses of juice, for a total profit of 30n = $30 from the sale of apple juice and 18n = $18 from the sale of lemon juice.
Therefore, Mr. Tan makes a total of $30 Plus $18 = $48.
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Help pls pls pls pls pls pls, I need help quick
Answer:
D
Step-by-step explanation:
The country of Sylvania has decided to reduce the number
3
of its illiterate citizens by
5 each year. This year there are
9000 illiterate people in the country.
Write a function that gives the number of illiterate people in Sylvania, P(t), t years from today.
The functiοn that gives the number οf illiterate peοple in Sylvania is
[tex]\mathrm{P(t) = 9000(2/5)^t}[/tex]
What are functiοns in mathematics?A functiοn is defined as a relatiοn between a set οf inputs, each with an οutput. Simply put, a functiοn is a relatiοnship between inputs, each assοciated with exactly οne οutput. Each functiοn has a dοmain and cοdοmain οr scοpe.
Hοw tο identify relatiοn and functiοn?Tο identify a functiοn frοm a relatiοn, check if any οf the x values are repeated. If it's nοt repeated, it's a functiοn. If the x values are repeated and the cοrrespοnding y values are different, it's nοt a functiοn but a relatiοn.
Sοlutiοn accοrding tο the questiοn:
Given, Tοtal number οf illiterate peοple = 9000
Amοunt = 3/5
Fοr the first year = 9000 × (1 - 3/5) = 9000(2/5)
Nοw, fοr "t years":
P(t) = 9000(2/5)
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Mr. Cho reached his office at 9:10 am. He took 37 minutes to check his emails and 1 hour and 38 minutes to write a report. Then he attended a meeting until he left for lunch at 12:30pm. How long did the meeting last?
Answer: the meeting lasted for an hour and 5 min.
Step-by-step explanation:
9:10am + 37min = 9:47am9:47am + 1hour = 10:47am10:47am + 38min = 11:25am12:30pm - 11:25am = 1hour, 5minTherefore, the meeting lasted for an hour and five minutes.
What is the lateral and total surface area
Answer:A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
Step-by-step explanation:A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]
what is the square root of 11 help me please note put the calculation please
Answer: 3.31662479036.
Isha is a pet sitter.
She earns $5 for each cat.
She earns $12 for each dog.
Last week, Isha pet sat for 11 cats and 7 dogs.
How much money did Isha earn pet sitting last week?
139
because you do 5 dollars times 11 cats equals 55 and 12 dollars times 7 dogs equals 84 add it together is 139
Jim gives the cashier $20 bill at the pharmacy
Answer: bro hear me out rq in the explanation
Step-by-step explanation: Jim hands the cashier the $20 bill and, if necessary, provides his identification to purchase the item. The cashier will then record the purchase, give Jim his change, and thank him for his business.
This question has two parts. Use the information to answer Part A and Part B.
The table shows function f(x).
x f(x)
1 6
2 36
3
216
41296
Part A
What type of function is f (x)?
A. exponential
B. linear
C. quadratic
Part B.
Which statement supports the correct answer from Part A?
A. As x increases by 1, the value of f (x) is squared.
B. As x increases by 1, the value of f (x) increases by a factor of 6.
C. As x increases by 1, the value of f (x) increases by a constant value.
Part A: The function f(x) is an exponential function.
Part B: As x increases by 1, the value of f(x) increases by a factor of 6.
How to explain the functionIt is an exponential function because the function is of the form f(x) = a^(x-1), where a is a constant. We can see that when x increases by 1, the exponent in the function increases by 1 as well. So we have:
f(x+1) = a^x * a
f(x) = a^(x-1)
Therefore, the ratio of f(x+1) to f(x) is:
f(x+1)/f(x) = (a^x * a) / (a^(x-1)) = a
This means that as x increases by 1, the value of f(x) increases by a factor of a, which in this case is 6. Therefore, statement B supports the correct answer from Part A.
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cos[tex]\alpha[/tex]=[tex]\frac{5}{13}[/tex] where [tex]270\leq \alpha \leq 360[/tex].
Find cos 2[tex]\alpha[/tex]
Answer:
-119/169
Step-by-step explanation:
You want cos(2α) where cos(α) = 5/13 and 270° < α < 360°.
Cosine identityThe desired function is ...
cos(2α) = 2cos²(α) -1
ApplicationIn the given quadrant, sin(α) < 0. Since the sine is squared in the double-angle identity, whether it is positive or negative is irrelevant.
[tex]\cos(2\alpha)=2\cos^2(\alpha)-1=2\left(\dfrac{5}{13}\right)^2-1=\dfrac{2(25)-169}{169}\\\\\boxed{\cos(2\alpha)=-\dfrac{119}{169}}[/tex]
Kenneth is making a shelf that requires 2 & 7/10 feet of lumber. He has 5/8 feet of lumber. How much more lumber does he need?
If Kenneth has 5/8 feet of lumber, then he need 83/40 feet of lumber to make the shelf.
First we convert the length of lumber in improper fraction form,
So, we convert 2(7/10) feet to an improper fraction,
⇒ 2(7/10) = (2×10 + 7)/10 = 27/10,
To find the length of lumber required we need to subtract the amount of lumber Kenneth has from the total length required,
Kenneth has a total of 5/8 feet of lumber,
Length of lumber required is = 27/10 - 5/8,
Taking LCM of 10 and 8 as 40 , and simplifying further,
We get,
⇒ 108/40 - 25/40
⇒ 83/40
Therefore, Kenneth needs 83/40 feet more lumber to make the shelf.
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The question "Most people liked this chocolate bar, do you?"
is:
Select one:
a. A leading question
b. A question which contains jargon
c. Two questions in one
d. A hypothetical question
The correct answer is a. A leading question.
A leading question is one that is designed to elicit a specific response or to influence the answer given by the respondent. In this case, the question is designed to lead the respondent to agree that they also liked the chocolate bar, as "most people" did. This type of question is often used in surveys and research studies to obtain desired results.
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The amount of radioactive element remaining, r, in a 100-mg sample after d days is represented using the equation . What is the daily percent of decrease?
The daily percent οf decrease is 12.94%.
Sο the cοrrect οptiοn is: 12.94%.
What is the percentage decrease?Percentage decrease is the percentage by which a quantity οr value has decreased cοmpared tο its οriginal οr previοus value. It is calculated by taking the difference between the οriginal value and the new value, dividing that difference by the οriginal value, and then multiplying by 100 tο cοnvert the result intο a percentage. The fοrmula fοr percentage decrease is:
Percentage decrease = [(Original value - New value) / Original value] x 100%
The fοrmula fοr the amοunt οf radiοactive element remaining, r, in a 100-mg sample after d days is given as:
[tex]r = 100(1/2)^{(d/5)[/tex]
Tο find the daily percent οf decrease, we need tο find the difference between the amοunt οf the element at the start οf a day and the amοunt at the end οf that day, and then express this as a percentage οf the starting amοunt.
Let's assume that we start with 100 mg οf the radiοactive element. After οne day, the amοunt remaining is:
[tex]r = 100(1/2)^{(1/5)[/tex] ≈ 87.06 mg
The difference between the starting amοunt and the amοunt at the end οf the day is:
100 - 87.06 = 12.94
Tο express this as a percentage οf the starting amοunt, we divide this difference by the starting amοunt and multiply by 100:
12.94/100 * 100% = 12.94%
Therefοre, the daily percent οf decrease is 12.94%.
Sο the cοrrect οptiοn is: 12.94%.
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Calculate the fluid intake in milliliters for the following meal
(assume a cup = 6oz and a glass = 8oz)
1/3 glass of orange juice
1/2 cup of tea
1/2 pt milk
1 tuna fish sandwich
1 popsicle (3oz)
TOTAL = _____ mL
*I need this answered quickly please and thank you.*
The total fluid intake for the meal is 493.04 mL.
How to find the total fluid intake for the meal?We first need to convert the volume of each beverage to ounces, and then to milliliters.
1/3 glass of orange juice = (1/3) x 8 oz = 2.67 oz = 79.01 mL (assuming 1 oz = 29.57 mL)
1/2 cup of tea = (1/2) x 6 oz = 3 oz = 88.72 mL
1/2 pt milk = (1/2) x 16 oz = 8 oz = 236.59 mL (assuming 1 pt = 16 oz and 1 oz = 29.57 mL)
1 popsicle (3oz) = 3 oz = 88.72 mL
The total fluid intake for the meal is
79.01 mL + 88.72 mL + 236.59 mL + 88.72 mL = 493.04 mL
Therefore, the fluid intake for the meal is approximately 493.04 mL.
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10. In how many different ways can 9 people be seated at a round table? 11. In how many ways can 7 keys be arranged on a key ring?
9 people can be seated at a round table is 8! = 40,320.
When people are seated at a round table, the number of arrangements is given by (n-1)!, where n is the number of people. This is because one person can be considered as fixed, and the remaining (n-1) people can be arranged in (n-1)! ways. So for 9 people, the number of arrangements is (9-1)! = 8! = 40,320.
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1. Line AD is parallel to line BC and Line AB is
perpendicular to line BC. Find the value of x.
A (6x +30)°
B
2. Draw two parallel lines and a transversal such
that angle 1 and angle 2 are alternate exterior
angles, angle 2 and angle 3 are vertical angles,
and angle 3 and angle 4 are alternate interior
angles. What type of angle pair is angle 1 and
angle 4?
3. Given two parallel lines cut by a transversal, find
the measure of
4.
A( 8x+28)
D (10x + 4)
B
4. Given two parallel lines cut by a transversal, find
the measure of Z ABC.
A (3x-45)
B(2x+15)
When lines A and B are cut by a transversal, then ∠1 and ∠4 fοrm a pair οf vertical angles.
What is transversal?In geοmetry, a transversal line intersects twο lines in the same plane at twο different lοcatiοns. In the Euclidean plane, transversals help establish the parallelism οf twο οr mοre οther straight lines. It crοsses twο lines at separate lοcatiοns. Transversal intersectiοn results in numerοus angles.
Twο parallel lines are A and B are drawn.
They are cut by a transversal C.
The angles ∠1 and ∠2 are fοrming a pair οf alternate exteriοr angles.
The angles ∠3 and ∠4 are fοrming a pair οf alternate interiοr angles.
The angles ∠2 and ∠3 are verticals angles.
Similarly, the angles ∠1 and ∠4 fοrm a pair οf vertically οppοsite angles.
Therefοre, the angles fοrm vertical pair.
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[(0)/(1) Points ] DETAILS PREVIOU. Simplify the compound fractional expression (1+(1)/(x+8))/(1-(1)/(x+8))
The simplified the compound fractional expression (1+(1)/(x+8))/(1-(1)/(x+8)) is (x+9)/(x+7).
To simplify the compound fractional expression (1+(1)/(x+8))/(1-(1)/(x+8)), we can follow the following steps:
Step 1: Find the common denominator for the fractions in the numerator and denominator. In this case, the common denominator is (x+8).
Step 2: Multiply the numerator and denominator of the expression by the common denominator to get rid of the fractions. This gives us:
((x+8)(1+(1)/(x+8)))/((x+8)(1-(1)/(x+8)))
Step 3: Simplify the numerator and denominator by distributing and combining like terms. This gives us:
((x+8+1)/(x+8-1))/(x+8)
Step 4: Simplify the expression further by canceling out any common factors. In this case, we can cancel out the (x+8) terms in the numerator and denominator to get:
(x+9)/(x+7)
Therefore, the simplified expression is (x+9)/(x+7).
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The employees of a company have different hobbies.
14 men who like playing golf
6 women who like playing golf
2 men who like running
18 women who like running
Which statement is correct?
A.
For every woman who likes running, 9 women like playing golf.
B.
For every man who likes running, 3 men like playing golf.
C.
For every woman who likes running, 7 women like playing golf.
D.
For every man who likes running, 7 men like playing golf.
Answer:
To answer this question, we need to compare the number of men and women who like playing golf to the number of men and women who like running.
There are 14 men who like playing golf and 2 men who like running, so the ratio of men who like playing golf to men who like running is:
14 men / 2 men = 7 men who like playing golf for every man who likes running
There are 6 women who like playing golf and 18 women who like running, so the ratio of women who like playing golf to women who like running is:
6 women / 18 women = 1/3 or 0.333 women who like playing golf for every woman who likes running
Therefore, the correct statement is:
C. For every woman who likes running, 7 women like playing golf.
PLEASE HELP WILL GIVE BRAINLIEST!!!!
proof attached in image !!
The proof that ∠B ≅ ∠C is:
D is the midpoint of of BC - Given...................(1)
Thus
BD = DC ................................................................(2)
∠EDC ≅ ∠FDB - Given......................................(3)
DE ⊥ AB - Given...................................................(4)
DF ⊥ AC - Given ..................................................(5)
∠AED = ∠DEB = 90° - perpendicular bisector theorem ....(6)
∠AFD = ∠DFC = 90° - perpendicular bisector theorem ....(7)
∠EAF = ∠EDF = 90° - Properties of the angles of a Quadrilateral
Since ∠EDC ≅ ∠FDB, as in (3) above, and
Both comprise of ∠EDF,
thus,
(∠EDC - ∠EDF) ≅ (∠FDB - ∠EDF)
Since
∠EDB = (∠FDB - ∠EDF); and
∠FDC = (∠EDC - ∠EDF)
Thus,
∠EDB ≅ ∠FDC
thus,
∠EDB = ∠FDC = 45° (Sum of Angles on a Straight line) that is
∠EDB = ∠FDC = (180° -∠EDF)/2
Since ∠EDF = 90°
∠EDB = ∠FDC = (180° -90°)/2
∠EDB = ∠FDC = 90/2
∠EDB = ∠FDC = 45°
Since
∠DEB = 90° (5); and
∠DFC = 90° (7)
ΔBED ≅ ΔDFC
Thus, by Sum of Angles in a Triangle,
∠B ≅ ∠C.
The perpendicular bisector theorem states that if a point lies on the perpendicular bisector of a line segment, then it is equidistant from the endpoints of the segment.The sum of angles theorem, also known as the triangle sum theorem, states that the sum of the interior angles of a triangle is always 180 degrees.The angles on a straight line theorem states that the sum of the angles formed by a straight line is always 180 degrees.The properties of the angles of a quadrilateral are: the sum of the angles is always 360 degrees, opposite angles are equal, and adjacent angles add up to 180 degrees.
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The Student Council is having an election for its executive board, which consists of 3 positions—president, vice president, and secretary. If there are 10 members on the Student Council, how many different possibilities are there for selecting an executive board?
120
720
1,000
3,628,800
There are 720 different possibilities for selecting the executive board from a Student Council with 10 members. An answer is option (B) 720.
What is the permutation?A permutation is to select an object then arrange it and it cares about the orders while a Combination is about only selecting an object without caring about the orders.
The number of ways to select the executive board is the number of permutations of 10 items taken 3 at a time.
That is:
P(10, 3) = 10!/(10-3)! = 10x9x8 = 720
Therefore, there are 720 different possibilities for selecting the executive board from a Student Council with 10 members. An answer is option (B) 720.
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Which point has coordinates (4.9, 3.9)?
Answer:
C
Step-by-step explanation:
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)
Answer is in a picture, so zoom in!
But overall, the answer is below!
Find the length of the third side. If necessary right i. Simplest radical form
[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{2\sqrt{41}}\\ a=\stackrel{adjacent}{10}\\ o=opposite \end{cases} \\\\\\ o=\sqrt{ (2\sqrt{41})^2 - 10^2}\implies o=\sqrt{ (2^2)(\sqrt{41})^2 - 100 } \implies o=\sqrt{ (4)(41)-100 } \\\\\\ o=\sqrt{164-100}\implies o=\sqrt{64}\implies o=8[/tex]
Use the Distributive Property to simplify 2(3x2 – 4x + 7)
Answer:
4x + 14
Step-by-step explanation:
2 (3x2 - 4x + 7)
= 2 ( 6x - 4x + 7)
= 2 ( 2x + 7)
= 4x + 14
expand and simplify (root 12 - root3)^2
The (√12 - √3)² = 6 according to the provided assertion.
Why do you use the word "binomial"?
A Binomial is a name for an algebraic equation with only two elements. It is a polynomial with two terms. It is also referred to as the total or difference of two or more binomials. It is a polynomial's most basic shape.
To expand and simplify the expression (√12 - √3)², we can use the formula for the square of a binomial:
(a - b)² = a² + b² - 2ab
In this case, a = √12 and b = √3, so we have:
(√12 - √3)² = (√12)² - 2(√12)(√3) + (√3)²
To simplifying, we have:
(√12 - √3)² = 12 - 2√36 + 3
Since √36 = 6, we can simplify further:
(√12 - √3)² = 12 - 2(6) + 3 = 6
Therefore, the expanded and simplified equation (√12 - √3)² = 6.
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Two parallel lines are cut by a transversal as shown below. Suppose m∠1=63°. Find m∠6 and m∠7.
Answer: Since lines l and m are parallel, we can use the fact that corresponding angles are congruent. Therefore:
m∠1 = m∠6 (corresponding angles)
m∠6 + m∠2 = 180° (supplementary angles, as angles 6 and 2 form a straight line)
m∠2 = m∠7 (corresponding angles)
m∠3 = m∠7 (alternate interior angles)
m∠1 + m∠4 = 180° (supplementary angles, as angles 1 and 4 form a straight line)
m∠3 + m∠4 = 180° (supplementary angles, as angles 3 and 4 form a straight line)
We know that m∠1 = 63°, so we can use the equations above to find m∠6 and m∠7:
m∠1 = m∠6, so m∠6 = 63°.
m∠6 + m∠2 = 180°, so m∠2 = 180° - m∠6 = 180° - 63° = 117°.
m∠2 = m∠7, so m∠7 = 117°.
m∠3 = m∠7, so m∠3 = 117°.
m∠1 + m∠4 = 180°, so m∠4 = 180° - m∠1 = 180° - 63° = 117°.
m∠3 + m∠4 = 180°, so m∠3 + 117° = 180°, which means m∠3 = 63°.
Therefore, the measures of the angles are:
m∠1 = 63°
m∠2 = 117°
m∠3 = 63°
m∠4 = 117°
m∠6 = 63°
m∠7 = 117°
Step-by-step explanation:
Determine the LCM of the given polynomials: Enter your answer in factored form. \[ \begin{array}{l} x^{2}+8 x y+12 y^{2} \\ x^{2}-36 y^{2} \end{array} \]
The LCM of the given polynomials is \[ (x+6y)(x+2y)(x-6y) \].
The LCM (Least Common Multiple) of two polynomials is the smallest polynomial that is a multiple of both of the given polynomials. To find the LCM, we need to factor the given polynomials and then take the product of the highest power of each factor.
Factoring the first polynomial: \[ x^{2}+8 x y+12 y^{2} = (x+6y)(x+2y) \]
Factoring the second polynomial: \[ x^{2}-36 y^{2} = (x+6y)(x-6y) \]
Now, we can take the product of the highest power of each factor to find the LCM:
\[ LCM = (x+6y)(x+2y)(x-6y) \]
So, the LCM of the given polynomials in factored form is \[ (x+6y)(x+2y)(x-6y) \].
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The population of bears in a national forest is changing according to the function N(t) = 850(0.96)*, where t is the time in years and N(C) is the number of bears.
Which statement explains how the bear population is changing?
A. The population is decreasing by 4% per year.
B. The population is increasing oy voro per year.
C. The population is increasing by 4% per year.
D. The population is decreasing by 96% per year.
The statement that explains how the bear population is changing is A. The population is decreasing by 4% per year.
How to determine the change in the populationFrom the question, we have the following parameters that can be used in our computation:
N(t) = 850(0.96)^t
The rate factor of the above function is
Rate factor = 0.96
This is less than 1
So, we have
Rate = 1 - 0.96
Evaluate
Rate = 4%
Hence, the rate is 4%
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Which fraction is equivalent to negative 2 over 3 ? (1 point)
A. 2 over negative 3
B. negative 3 over 2
C. negative 2 over negative 3
D. 2 over 3
Answer: A
Step-by-step explanation: 2/-3 means that the - sign should be brought up. So, A is correct.
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P
are (-1, -3) and the coordinates of Q are (-1, 2). Each unit on the
coordinate plane represents 1 centimeter, and the perimeter of
rectangle PQRS is 20 centimeters. Find the coordinates of points R and
S given these conditions:
a) Points R and S are to the left of points P and Q.
PLS HELP I NEED IT TO HE SMPLE
[tex]PQ = 2 - (-3) = 2 + 3 = 5 \ cm[/tex]
[tex]RS = PQ \implies RS = 5 \ cm[/tex]
the perimeter of rectangle PQRS is 20 centimeters ⇒
[tex]QR = SP = 5 \ cm[/tex]
⇒ PQRS is square
[tex]x_{R} = x_{Q} - 5 = -1-5 = -6[/tex]
[tex]y_{R} = y_{Q} = 2[/tex]
[tex]\implies R(-6,2)[/tex]
[tex]x_{S} = x_{R} = -6[/tex]
[tex]y_{S} = y_{P} = -3[/tex]
[tex]\implies Q(-6,-3)[/tex]
Find the indicated angle measures.
A
m
64°
F
B
26°
m
O
Will mark brainiest
Answer:
m<BFC= 64°; m<AFB= 116°
Step-by-step explanation:
Using the Vertical Angle Theorem, in which "the opposing angles of two intersecting lines must be congruent, or identical in value"
m<AFE is congruent to m<BFC, therefore m<BFC is 64°
You can also use the straight angle theorem where BE is a straight line, and is therefore 180°. so subtracting 180° from 64° will result in m<AFB being 116°, you second answer. You can take it a step further without using the vertical angle theorem to get our first answer by using the same rules for the straight angle theorem again, knowing that AC is a straight line and that m<AFB is 116°, subtract 180° by 116° to get m<BFC, 64°.