At the end of August, a store is trying to get rid of their swimsuits to make room for fall clothes. The price of a swimsuit is reduced $5 each week for 6 weeks. By how much did the price of the swimsuit change during this time? Can someone please help me with these?

Answer:

d

Step-by-step explanation:

the total of two packages (2b) is less than 22

Multiply first then divide:

7*1893 = 13251

13251/2 = 6625.5

Answer: 6625.5

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

So the second one is 3

The first one is 3

Step-by-step explanation:

You just divide the first one 4.02/1.34

The second one

1) 2x-5=1

2) add  5 on to both sides= 6

3) divide 2 by 6 = 3

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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Answer

x = 5/4

Step-by-step explanation:

Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer:

the conclusion is not valid

Answer: The conclusion is valid by the law of syllogism

The law of syllogism follows the basic form:

If P, then Q

If Q, then R

Therefore, if P then R

We can write it like this

\(P \to Q \\\\Q \to R\\\\\therefore P \to R\)

We can think of it like starting at town P, moving to Q, then to R. Or we could go from P directly to R if we aren't worried about the town in the middle (town Q).

Answer:

\(Volume = 314500cm^3\)

Step-by-step explanation:

Given

\(Length = 125cm\)

\(Width = 37cm\)

\(Height = 68cm\)

Required

Determine the volume

Volume is calculated as:

\(Volume = Length * Width * Height\)

Substitute values for Length, Width and Height

\(Volume = 125cm * 37cm * 68cm\)

\(Volume = 314500cm^3\)

Hence, the volume of the box is \(314500cm^3\)

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".

Hypotheses: M(Penelope), D(Penelope)

Conclusion: M(Penelope)

Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:

From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)

From D(Penelope), we have M(Penelope)

So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".

Hypotheses: A(Penelope), ~D(Penelope)

Conclusion: ~M(Penelope)

Using modus tollens, which states that if P implies Q and Q is false, then P must be false,

we can conclude that M(Penelope) is false:

From A(Penelope) and "Every student who missed class or got a detention did not get an A",

we have ~M(Penelope) & ~D(Penelope)

From ~D(Penelope), we have ~M(Penelope)

So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

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Answer:

X = 33.3 percent

Step-by-step explanation:

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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Answer:

y=17/2

Step-by-step explanation:

correct me if im wrong

Answer:

C = 17/2

Step-by-step explanation:

7y - 4 = 9y + 13 - 4y

7y - 9y + 4y = 13 + 4

2y = 17

y = 17/2

Answer:

1) 128

2)-16

3)24

4)5

5)3

6)14

7)-m4

8)75

9)

10)10

There are a total of 175,760,000 different license plates

We know that the license plates are of one number followed by 3 letters followed by 3 numbers.

We need to count the number of options for each of these elements:

The total number of combinations is given by taking the product between these numbers of options, we will get:

C = 10*26*26*26*10*10*10 = 175,760,000

There are a total of 175,760,000 different license plates

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The false statement is option (C) A graph with more than two odd vertices will never have an Euler Path or Circuit

A) Euler Paths exist when there are exactly two vertices of odd degree: This statement is true. In a graph, if there are exactly two vertices with an odd degree, then an Euler Path exists that starts at one of the odd-degree vertices and ends at the other.

B) Euler circuits exist when the degree of all vertices are even: This statement is true. In a graph, if the degree of all vertices is even, then an Euler circuit exists, which is a closed path that visits every edge exactly once and starts and ends at the same vertex.

C) A graph with more than two odd vertices will never have an Euler Path or Circuit: This statement is false. A graph with more than two odd vertices can have an Euler path but not an Euler circuit. For example, in a graph with vertices A, B, C, D, and E, where A, B, and C have odd degree, the path ABCDE is an Euler path.

D) A graph with one odd vertex will have an Euler Path but not an Euler Circuit: This statement is true. In a graph with only one vertex of odd degree, an Euler path exists that starts at the odd-degree vertex and ends at another vertex. However, there cannot be an Euler circuit since the starting and ending points would have different degrees.

Therefore, the correct option (C) A graph with more than two odd vertices will never have an Euler Path or Circuit

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Answer:

x² + x + 3 = 0

Step-by-step explanation:

To use the distributive property, we want to multiply the coefficient (the number directly outside the parentheses) with each term within the parentheses.

x(x + 1) = -3

Distributive property:

x • x = x²

x • 1 = x

This results in:

x² + x = -3

Add 3 to both sides.

x² + x + 3 = 0

This is the equation simplified.

Hope this helps!

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

Answer:

$22.37

Step-by-step explanation:

Answer:

$22.37

Step-by-step explanation:

6.99(3.2)

Answer:

x=9

Step-by-step explanation:

Substitution and solving

\(2x+3y=36\\2x+3(6)=36\\2x+18=36\\2x+18-18=36-18\\36/2=2x/2\\x=9\)

Answer:

+52

Step-by-step explanation:

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

\(\mathbf{Task.} ~ \mathrm{For~5,~use~the~square~root~method~to~solve~the~quadratics.}\)

\(5) ~ 7 - 3x^{2} = -20;\)

\(\mathrm{Subtract~7~from~both~sides~of~the~equation.}\)

\(7 - 3x^{2} - 7= -20 - 7;\)

\(\mathrm{Let's~calculate~the~difference.}\)

\({-3x^{2}} = -27;\)

\(\mathrm{Divide~both~sides~of~the~equation~by~}{-3}.\)

\(\dfrac{{-3x^{2}} }{-3} = \dfrac{-27}{-3} ;\)

\(\mathrm{Find~the~quotient.}\)

\(x^{2} = 9;\)

\(\mathrm{Extract~the~arithmetic~square~ root~of~both~sides~of~the~equation.}\)

\(\sqrt{x^{2}} = \sqrt{9};\)

\(\mathrm{Use~the~rule\colon} \sqrt{a^{2}} = |a|.\)

\(|x| = 3;\)

\(\mathrm{An~equation~of~the~form~} |f(x)|=a, \ a \geq 0, ~\mathrm{is~equivalent~to~a~union\colon} \displaystyle\left [ {{f(x)=-a,} \atop {f(x)=a.~~}} \right.\)

\(\displaystyle \left [ {{x_{1} = -3,} \atop {x_{2} = 3. ~~}} \right.\)

\(Answer\colon ~{-3}; ~ 3. ~ \blacktriangle\)

Answer:

Step-by-step explanation:

Answer:

symmetric

Step-by-step explanation:

The percentage of the people surveyed that had a cell phone will be 38.9%.

A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The percentage of the people surveyed that had a cell phone will be;

= 236 / (317 + 236 + 263) × 100

= 236 / 816

= 28.9%

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Answer:

2029

Step-by-step explanation:

We can write an equation:

0.28+0.006x=0.51

A few things explained:

The constant 0.28 comes from the fact in 1990, 28% of babies were born to parents who were not married. 28%=0.28

0.006 represents 0.6% and x represents the number of years will pass until 49% of babies will be born out of wedlock

0.51 represents 51%. 51% represents the percentage of babies who will be born to parents not married (100% - 49%=51%). You want to use 51% instead of 49% because the right side represents the babies born to parents not married.

We can solve the equation:

0.28+0.006x=0.51

0.006x=0.23

x=38.33

Since you can't have 38.3333 years, we'll say that 39 will pass until 49% of babies are born out of wedlock.

So, we add 39 years to 1990.

1990+39=2029

Hope this helps!