A man bought a car for $8000 and sold it at a profit of 75%.calculate his selling price.

Answer:

C.

1/3

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line.

m  perpendicular = 1/3         Math.way

...............................................................................................................................................

Answer:

1/3

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

-1/-3 = 1/3

The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds

A fraction is defined as a part of a whole quantity.

1. Leftover pizza = 3/8

Pizza used as breakfast = 3/4 of left-over pizza

= 3/4 of 3/8

The of is calculated by the use of multiplication

The fractions are multiplied as follows:

Pizza used as breakfast = 3/4 * 3/8

= 3 * 3 / 4 * 8

= 9/32

2. 3/5 of bag of coffee weighs = 6/7 pounds

1 bag of coffee weighs = 6/7 ÷ 3/5

The fractions are divided as follows:

Thus, = 6/7 * 5/3

= 6 * 5 / 7 * 3

= 30/21

= 10/7 pounds

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Answer:

1  7 /25

Step-by-step explanation:

bc i did the math

Answer:

32/25

& Ig it's just cause math says so. I mean 24/25 then 3/4 then that divided by it

Step-by-step explanation:

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

7^9

Step-by-step explanation:

when dividing you take away powers.

Answer:

7 to the power of 9

Step-by-step explanation:

7 by it self is 7 to the power of 1, and when you are dividing a power to subtract the power on top, so 10-1=9 and the answer is 7 to the power of 9 or 7^9

Answer:

try mathpappa.com I love it so good.

Steps to solve:

(12x + 4) - 8 = 12

~Combine like terms

12x - 4 = 12

~Add 4 to both sides

12x = 16

~Divide 12 to both sides

x = 16/12 or x = 4/3

Best of Luck!

The needed number of days at 10 degrees is given as follows:

11 days.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:

m = -2/5

m = -0.4.

Hence the time needed for a temperature of 10 degrees is given as follows:

9 + 2 = 11 days.

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Answer:

-8, -11, -20. Anything negative will make it turn positive, so just do any negative number beyond -5.

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

The simplified form of the given logarithmic expression as required in the task content bis Choice B; 2log8.

It follows from the task content that the simplified form of the logarithmic expression is to be determined as a single log term.

On this note, since the given expression is;

2log2 + 2log4

It follows from factorisation that we have;

2 ( log 2 + log 4 )

Therefore, the expression in the parentheses can be simplified as a single log term using the sum of logarithms law as follows;

= 2 ( log ( 2 × 4 ) )

= 2 log 8.

Ultimately, the answer choice which represents the simplified form of the expression as a single log term is; Choice B; 2 log 8.

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Answer:

Actually, your equation represents something that doesn`t vary...

Step-by-step explanation:

Well, this equation represents a CONSTANT. Basically, regardless to the real

x

value you may choose

y

will always be

3

and never change...

Graphically:

graph{0x+3 [-10, 10, -5, 5]}

The equivalent of the expression 2³/2⁷ using the law of indices is (a) 1/2⁴

From the question, we have the following parameters that can be used in our computation:

2³/2⁷

The above expression can be solved using the law of indices

When the law of indices is applied, we have the following representation

2³/2⁷ = 2(³ ⁻ ⁷)

Remove the bracket in the above expression

So, we have the following representation

2³/2⁷ = 2³ ⁻ ⁷

Evaluate the difference

This gives

2³/2⁷ = 2⁻⁴

Rewrite as

2³/2⁷ = 1/2⁴

Hence, the solution is (a) 1/2⁴

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Answer:

C. is the correct answer

Answer:

Step-by-step explanation:

4. f(x) = √(x + 4)

f(5) = √(5+4) = √(9) = 3

5. g(x) = x^12 - x^5

  g(-1)=          (-1)^12 - (-1)^5

             1 - (-1) = 1 + 1 = 2

Answer:

4.) = 3

5.) = 2

Step-by-step explanation:

4.)

f(x) = √x + 4, f(5)

f(5) = √5 + 4 = √9 = 3

5.)

G(x) = x¹² - x⁰, G(-1)

G(-1) = (-1)¹² - (-1)⁰

G(-1) = 1 + 1 = 2

-TheUnknownScientist

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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Answer:

log xy3 the perimeter of the length in it multiply it 3 times you will get the answer. and try multiplying 6.1cm to 5kg

The rental cost for each movie and each video game is 2.25.

One month Trey rented three movies and five video games for a total of 35.

3 M + 5V = 33

6 M + 2 V = 24

Divides bottom equation by 2:

3 M + 5 V = 35

3 M + V = 20

subtracts:

 4V = 21

 V = 21/4 = $5.25

3 M + 5.25 = 12

3 M = 6.75

M = 2.25

Let x = cost to rent a movie and y = cost to rent a video game

3x + 5y = 33

6x + 2y = 24

Multiply the first equation by -2:

-6x - 10y = -66

6x + 2y = 24

Add the equations to get -8y = -42

So, y = 5.25 and x = 2.25.

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Central angle ∠C and circumscribed angle ∠S intersect the same arc, so the angles are supplementary. Central angle ∠C and inscribed angle ∠R intersect the same arc, so m∠R is half the measure of central angle ∠C.

Central angles are angles that have their vertex at the center of the circle. Circumscribed angles are angles that are formed by two tangents to a circle that intersect at a point outside the circle. Inscribed angles are angles that are formed by two chords in a circle that intersect at a point inside the circle.

The measures of central angles and circumscribed angles are always supplementary, which means that their measures add up to 180 degrees. Inscribed angles, on the other hand, are always half the measure of the central angle that intersects the same arc.

In the diagram, central angle ∠C and circumscribed angle ∠S intersect the same arc, so they are supplementary. Central angle ∠C and inscribed angle ∠R also intersect the same arc, so m∠R is half the measure of central angle ∠C.

Therefore, the correct answers are supplementary and half.

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The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer:

I'm pretty positive that the answer is A

The expression which shows how many grams of raisins are in the bowl will be

(0.01x) * 150 + (0.01y) * 250

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The expression which shows how many grams of raisins are in the bowl will be:

= (x% × 150) + (y% × 250)

= (0.01x) * 150 + (0.01y) * 250

This equation represents the total grams of raisins in the bowl by multiplying the weight of the Oreana's bag by the percentage of raisins in it, and adding that to the product of the weight of Brandon's bag and the percentage of raisins in it. The "0.01" is used to convert the percentages from x and y to decimal form.

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The relationship in the figure is a function because each input has only one output to which they are linked

A function is a definition or rule that maps each element in a set of input values to exactly one element in a set output values.

The data in the sets can be presented as follows;

x  \({}\)               f(x)

-1 \({}\)      →         2

0\({}\)        →        2

1\({}\)         →        -3

2\({}\)         →       -2

8\({}\)         →        3

The above table indicates that each x-value has only one f(x) value, which indicates that the relationship s a function. The relationship is still a function with the presence of an f(x) value, 2, having two x values, -1 and 0, as the condition satisfies the definition of a function.

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Answer:

The daily cost is $6 because that is being multiplied by the x which represents days. The 81 represents the flat fee.

Step-by-step explanation:

The ratio of the floor width to the side wall height that minimizes the total material cost of the tunnel is  (3/2)^(1/3) / (2π)^(2/3), by using lagrange multipliers.

Let the width of the floor be w and the height of the side walls be h. The volume constraint of the tunnel is V = al, where V is the volume of the tunnel. The total cost C of the tunnel is given by:

C = 2whP + 2lhP + πr^2LQ

where P is the price per unit area of the floor, L is the length of the tunnel, Q is the price per unit area of the ceiling, r is the radius of the cylindrical ceiling, and hP is the price per unit area of the side walls.

The Lagrangian is:

L = 2whP + 2lhP + πr^2LQ + λ(al - V)

Taking partial derivatives with respect to w, h, r, and λ, and setting them equal to zero, we get:

2hP + λa = 0

2wP + λa = 0

2πrLQ = λa

al - V = 0

Solving for w/h, we get:

w/h = (2πrLQ - 2hP) / (2hP - 2λa)

Substituting the values for P, Q, a, and L, and simplifying, we get:

w/h = (3/2)^(1/3) / (2π)^(2/3)

Therefore, the ratio of the floor width to the side wall height that will minimize the total material cost of the entire tunnel is (3/2)^(1/3) / (2π)^(2/3).

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Answer:

A

Step-by-step explanation:

Self explanatory

Answer: b

Step-by-step explanation: i just did this one on a algebra 1b assignment lol

Answer:

\(\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.\)

Step-by-step explanation:

\(\frac{2}{3} \ of \ a \ right \ angle \ = \frac{2}{3} \times 90^{\circ} = 60^{ \circ}\\\\A \ whole \ wheel \ is \ = 360^ {\circ}\\\\\)

Now to find what part of 360 is 60 :

\(Let \ it \ be \ x\\\\x \times 360 = 60 \\\\x = \frac{60}{360} = \frac{1}{6}\)

Therefore ,

          \(\frac{2}{3} \ part \ of \ right \ angle \ is \ \frac{1}{6} \ part \ of \ a \ whole \ wheel.\)