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Algebra

Answer:

Part A:

The equation for the amount of money Nora would spend after the discount is applied on a shirt that costs d dollars is:

c = d - 0.05d

c = 0.95d

Part B:

Let x be the total value of the clothes Nora can buy before the discount is taken.

After the discount is applied, she can spend a total of $57, so we have:

0.95x = 57

x = 60

Therefore, Nora can buy a total of $60 worth of clothes before the discount is taken.

The diameter across this loop was 236.6 feet

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

However, if we assume that Evan ran around the loop's outer edge and not inside the loop,

we can use the formula for the circumference of a circle,

which is C = πd,

where C is the circumference, d is the diameter, and π is approximately 3.14.

We can rearrange the formula to solve for the diameter,

which is d = C/π.

Plugging in the given value for the circumference, we get:

d = 744/π ≈ 236.6 feet

Therefore, if Evan ran around the outer edge of the loop, the diameter of the circle is approximately 236.6 feet.

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In linear regression, one variable, called a dependent variable, is related to one or more independent variables by a linear equation.

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In the case of multiple inputs, all the inputs are independent variables.

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Answer:

8.417

Step-by-step explanation:

The amount of 101 inches is equal to 8.4167 feet.

To convert inches to feet, we divide the number of inches by 12, since there are 12 inches in 1 foot.

As 1 foot= 12 inches

Therefore, to convert 101 inches to feet, we divide 101 by 12:

= 101 inches / 12 inches/foot

= 8.4167 feet

So, 101 inches is equal to 8.4167 feet.

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The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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Answer:

x = 17/32

Step-by-step explanation:

Firstly, you want to simplify by combining like terms:

4x(3+5)—10 = 4 · 3 + 5 – 10

32x—10 = 7

Add ten to both sides:

32x - 10 = 7

+10             +10

32x = 17

Divide both sides by 32:

32x = 17

/32      /32

32 divided by 32x makes x

so we get x = 17/32

(we dont divide 17/32 since we would get an irrational number (0.53125))

Due to inflation, a fixed quantity of money can buy 5% less every year. If camille has enough in her wallet to buy 86 movie tickets right now, the same amount of money could buy 69 movie tickets in 4 years.

Inflation is the sustained increase in the general price level of goods and services in an economy over a period of time. When inflation occurs, each unit of currency buys fewer goods and services; consequently, inflation reduces the purchasing power of money. Here, inflation reduces the purchasing power of money by 5% every year.

Let's assume that Camille has enough in her wallet to buy 86 movie tickets right now. After 1 year, the same amount of money would be able to buy 86 * (100 - 5) / 100 = 81.7 movie tickets, since the purchasing power of the same amount of money would have decreased by 5%.

After 2 years, the same amount of money would be able to buy 81.7 * (100 - 5) / 100 = 77.6 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

After 3 years, the same amount of money would be able to buy 77.6 * (100 - 5) / 100 = 73.7 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

After 4 years, the same amount of money would be able to buy 73.7 * (100 - 5) / 100 = 69.9 movie tickets, since the purchasing power of the same amount of money would have decreased by another 5%.

However, since movie tickets cannot be bought in fractional amounts, we would round down to the nearest whole number, so the same amount of money could buy 69 movie tickets in 4 years.

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Answer:

24

Step-by-step explanation:

2x3=6

6x4=24

The value of p is 5/8

A complex fraction is a rational expression that has a fraction in its numerator, denominator or both. In other words, there is at least one small fraction within the overall fraction.

Examples of complex fraction include ½/¾, ⅚/½

⅚/p = ⅔/½

= 5/6 ÷ p = ⅔ ÷ 1/2

= 5/6 × 1/p = 2/3 × 2/1

= 5/6p = 4/3

15 = 24p

divide both sides by 24

p = 15/24

p = 5/8

therefore the value of p is 5/8

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Answer:

48 miles per hour

Step-by-step explanation:

To convert Aneesha's speed from miles per hour to feet per second, we can use the formula:

speed in feet per second = speed in miles per hour * feet per mile / seconds per hour

So, Aneesha's speed in feet per second is:

50 miles per hour * 5,280 feet per mile / 3600 seconds per hour = 792 feet per second

Morris is traveling 3 feet per second less than Aneesha, so his speed in feet per second is:

792 feet per second - 3 feet per second = 789 feet per second

To convert Morris's speed back to miles per hour, we can use the formula:

speed in miles per hour = speed in feet per second * seconds per hour / feet per mile

So, Morris's speed in miles per hour is:

789 feet per second * 3600 seconds per hour / 5,280 feet per mile = approximately 48 miles per hour.

The value of the angles x is 121 degrees

It is important to note that the sum of interior angles of a polygon takes the expression

(n -2) 180

Then, we have;

(6-2) 180

720

Then, add all the angles and equate to 720. we get;

105 + 88 + 142 + 140 + 124 + x = 720

Add the values

599 + x = 720

Collect the like terms

x = 720 - 599

x = 121 degrees

Hence, the value is 121 degrees

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You need to find a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This can be done using the extended Euclidean algorithm, and the resulting inverse is the residue of the coefficient modulo the modulus.

Finding the inverse of a modulo involves finding a number that, when multiplied by a given number modulo a certain value, produces a remainder of 1. This process is important in modular arithmetic, where calculations are performed with remainders of a fixed integer modulus.

To find the inverse of a modulo, you can use the extended Euclidean algorithm, which is a method for finding the greatest common divisor of two integers.

The steps for finding the inverse of a modulo are as follows:

1. Identify the number you want to find the inverse of (let's call it "a") and the modulus (let's call it "m").

2. Use the extended Euclidean algorithm to find the greatest common divisor of "a" and "m", and the coefficients x and y such that ax + my = gcd(a,m).

3. If gcd(a,m) = 1, then "a" has an inverse modulo "m" and the inverse is given by x mod m.

4. If gcd(a,m) is not equal to 1, then "a" does not have an inverse modulo "m".

In step 3, x mod m represents the residue of x modulo m, which is the unique non-negative integer less than m that is congruent to x modulo m. In other words, it is the remainder when x is divided by m.

For example, to find the inverse of 5 modulo 7, we can use the extended Euclidean algorithm to find that 2(5) + (-1)(7) = 1. Therefore, the inverse of 5 modulo 7 is 2.

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The total area of the US is equal to 3,537,438 square miles.

An equation is an expression shows the relationship between two or more numbers and variables.

A equation is a statement with two equal sides and an equal sign in between. An equation is, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the total land area of the United States is about 3,483,511 square miles more than the total land area of Tennessee, is about 53,927 square miles.  

We need to write and solve an equation to find the total land area of the United States.

Now, according to the given information,  

Total land area of the United States is 3,483,511 square miles more than the total land area of Tennessee, is 53,927 square miles  

Total land area = 3,483,511 + 53,927

= 3,537,438

Hence, the total area of the US =  3,537,438 square miles.

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The marginal benefit of selling one more bouquet within the range between 400 and 600 is $12.

To find the marginal benefit in this range, we need to calculate the additional benefit of selling one more bouquet within this range.

First, let's find the benefit per bouquet in the range between selling 400 and 600 bouquets:

Total benefit in the range = $7,200 - $4,800 = $2,400

Number of bouquets in the range = 600 - 400 = 200

Benefit per bouquet in the range = Total benefit / Number of bouquets = $2,400 / 200 = $12

So for each bouquet sold within the range between 400 and 600, the benefit is $12.

Therefore, the marginal benefit of selling one more bouquet within the range between 400 and 600 is $12.

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Let x be the number of toppings and y be the cost of the sundae. We know that a sundae costs $2 without any toppings, and each topping costs $0.50. Therefore, the equation that describes the relationship between x and y is:

y = 2 + 0.5x

This equation can be represented on a graph, with x on the horizontal axis and y on the vertical axis. As x increases, y increases by $0.50 for each additional topping. The graph will be a line with a slope of 0.5 and y-intercept of 2, meaning that the line passes through the point (0,2) and rises by $0.50 for each unit increase in x.

The function which would match the graph shown as in the task content is; y = -1/2 (x - 6) (x + 5).

It follows from the task content that; the zeroes of the parabola are; -5 and 6;

Therefore, we have that;

y = a (x - 6) (x + 5).

To determine the value of a; use the y-intercept such that we have; (0, 15).

15 = a (0 - 6) (0 + 5)

15 = -30a

a = -1/2.

Ultimately, the required function to match the graph is; y = -1/2 (x - 6) (x + 5).

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Answer:

Step-by-step explanation:

(5/3)[tex]d^{3}[/tex]*(-1/3)[tex]x^{3}[/tex]=(-5/9)[tex]d^{3} x^{3}[/tex]

Answer:

x=3/2

Step-by-step explanation:

(x+1)(x+2)(4) = (24x-1)
4(x^2+3x+2) = 24x-1
4x^2+12x+8 = 24x-1

4x^2-12x^2+9 = 0

(2x-3)^2 = 0

2x-3 = 0

x = 3/2

The possible values of variable {x] are -

{x} = 1.146   or   {x} = 1.854.

Given is that the dimensions of a rectangular prism are (x + 1) feet by (x + 2) feet by 4 feet.

We can write the volume of the rectangular prism as -

Volume = length x width x height

4(x + 1)(x + 2) = (24x - 1)

(x + 1)(x + 2) = 6x - 1/8

6x - (x + 1)(x + 2) = 1/8

Solving the equation graphically, we get -

x = 1.146   or   x = 1.854

Therefore, the possible values of variable {x] are -

{x} = 1.146   or   {x} = 1.854.

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Answer:

The second option!

Step-by-step explanation:

Sorry if i was wrong... :(

Answer:

36

Step-by-step explanation:

Answer:

f(n) = 23-5n

Step-by-step explanation:

The initial number everywhere is always 23, so that's the start number. Than for every "n" it subtracts 5.

Answer:

Step-by-step explanation:

2y>-5

y>-2.5

The number of quarters minted in 2018 is 2 and the mass of a quarter is 0.006 kg

The number of quarters minted in 2018 is 2 x 10°, which in standard form is simply 2. The mass of a quarter is 6 x 10^-3 kg, which in standard form is 0.006 kg. So, the number of quarters minted in 2018 is 2 and the mass of a quarter is 0.006 kg

A unit of mass is a unit used to measure mass. Mass is a physical property of an object that is used to explain various observed object behaviors.

In everyday life, mass is always synonymous with weight. But in reality, mass and weight are different. The weight is caused by the interaction between the mass and the Earth's gravitational field.

For example, an object with a weight on earth, when it is sent into outer space or to another planet, the object has no weight because there is no gravity. However, the object still has the same mass.

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Answer:

22yrs

Step-by-step explanation:

So, the money will grow to $600 in about$$ 22 years.

Counting to 20 in Spanish is a relatively straightforward process. The first step is to learn the numbers from 1 to 10, which are:

1 - uno

2 - dos

3 - tres

4 - cuatro

5 - cinco

6 - seis

7 - siete

8 - ocho

9 - nueve

10 - diez

Once you have these numbers memorized, it's easy to continue counting up to 20. Simply add the numbers from 11 to 19 to the base number, diez.

11 - once (diez + uno)

12 - doce (diez + dos)

13 - trece (diez + tres)

14 - catorce (diez + cuatro)

15 - quince (diez + cinco)

16 - dieciséis (diez + seis)

17 - diecisiete (diez + siete)

18 - dieciocho (diez + ocho)  

19 - diecinueve (diez + nueve)

20 - veinte

As you can see, the only exception is the number 15, which has its own unique word, "quince." Other than that, all of the numbers from 11 to 19 follow the same pattern of adding "diez" to the appropriate digit. And once you reach 20, you're done! It's important to note that Spanish has gendered nouns, so when counting objects, you will need to use the appropriate article and adjective to match the gender of the noun. For example, if you are counting "dogs," you would say "uno perro," but if you were counting "cats," you would say "una gata."

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Answer:

1  uno

2  dos

3  tres

4  cuatro

5 cinco

6 seis

7 siete

8 ocho

9 nueve

10 diez

11 once

12 doce

13 trece

14 catorce

15 quince

16 dieciséis

17 diecisiete

18 dieciocho

19 diecinueve

20 veinte

Step-by-step explanation:

Answer:

- 1/2< x ≤ 3

Step-by-step explanation:

The filled circle (at point 3) indicates that 3 is included in the inequality and the clear circle at -1/2 indicates that -1/2 is not included

The measurement of AB is given as follows:

AB = 16.23.

The three trigonometric ratios are defined as follows:

For the angle of 52º, we have that:

Hence the measurement of AB is obtained as follows:

cos(52º) = 10/AB

AB = 10/cos(52º)

AB = 10/0.616

AB = 16.23.

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The value of the hypotenuse x is 19.1

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

Rise = 17

Angle = 63 degrees

The hypotenuse, x is then calculated using the following laws of sines

sin(63) = 17/x

Make x the subject

So, we have the following representation

x = 17/sin(63)

Evaluate the expression

This gives

x = 19.1

Hence, the value of x is 19.1

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For a cardboard:

The area of the cardboard is:

Length = 1 m 5 cm = 105 cm

Breadth = 80 cm

Area = Length x Breadth = 105 cm x 80 cm = 8400 cm²

The area of the cardboard in square meters is:

1 m = 100 cm

Length = 1 m 5 cm = 105 cm = 1.05 m

Breadth = 80 cm = 0.8 m

Area = Length x Breadth = 1.05 m x 0.8 m = 0.84 m²

The area covered by the ribbons is the area of the cardboard that is not painted. From the previous calculations, we know that the area of the cardboard is 8400 cm² and the area that was painted is 4700 cm². Therefore, the area covered by the ribbons is:

Area covered by ribbons = Total area of the cardboard - Area that was painted

Area covered by ribbons = 8400 cm² - 4700 cm²

Area covered by ribbons = 3700 cm²

The area of the cardboard is (105 cm) x (80 cm) = 8400 cm².

The area covered by the ribbons is 3700 cm².

So, the area of the cardboard that was painted is 8400 cm² - 3700 cm² = 4700 cm².

The area of the cardboard is 8400 cm² or 0.84 m². The area covered by the ribbons is 3700 cm². So, the area that needs to be painted is the difference between the area of the cardboard and the area covered by the ribbons, which is:

8400 cm² - 3700 cm² = 4700 cm²

To convert to square meters, we divide by 10000:

4700 cm² ÷ 10000 = 0.47 m²

Therefore, the cost of painting the remaining area is:

0.47 m² × ₹25/m² = ₹11.75

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