Which word in Maths Topic Percentage Increase and Decrease spell R_d_c_

Answer:

$250.00

Step-by-step explanation:

twenty $1 bills- 20 x 1 = 20

six $5 bills- 6 x 5 = 30

four $10 bills- 4 x 10 = 40

five $20 bills- 5 x 20 = 100

thirty $1 bills- 30 x 1 = 30

four $5 bills- 4 x 5 = 20

five $10 bills- 5 x 10 = 50

one $20 bill- 1 x 20 = 20

Add the bold totals together and get the final answer of $250.00

Answer:

Step-by-step explanation:

Let the unknown number be x

\(75 \% \times x = 240 \\ \frac{75x}{100} = 240\)

Cross Multiply

\(75x \times 1 = 100 \times 240 \\ 75x = 24000\)

Divide both sides of the equation by 75

\( \frac{75x}{75} = \frac{24000}{75} \)

Simplify

\(x = 320\)

Answer:

320

Step-by-step explanation:

you would do \(\frac{75}{100}\)*x=240

then you would multiply both sides by 100 and then divide both sides by 75 which woud give you x=240*\(\frac{100}{75}\)

which would give you \(\frac{24000}{75}\)=x

which then simplifies down to 320

Answer:11

Step-by-step explanation:

There are approximately 2.97 billion droplets per acre being sprayed.

To calculate the number of droplets per acre, we need to first convert the diameter of the droplets from microns to inches (since we are using acres as our unit of area). There are 25,400 microns in one inch, so the diameter of the droplets in inches is 250/25,400 = 0.0098 inches.

Next, we need to calculate the area of one droplet. The formula for the area of a circle is A = πr², so the area of one droplet is A = π(0.0049)² = 0.0000754 square inches.

Finally, we can calculate the number of droplets per acre by dividing the total area of one acre (43,560 square feet) by the area of one droplet: 43,560 / 0.0000754 = 2.97 billion droplets per acre.

Learn more about the area

https://brainly.com/question/25292087

#SPJ4

In a political study, 28 out of 157 current representatives of a state's legislature are surveyed. The sample size is 28 and the population size is 157.

Sample size and population size are two important elements of statistics.

In a survey, a sample refers to a subset of people or items from a larger population.

Researchers select samples because it's impossible to conduct a study on the whole population due to time, cost, and other factors.

A sample is considered representative of the population if it is chosen randomly and if the sample size is large enough.

The population is the entire collection of people, items, or data that the researcher wants to analyze.

In the study, it is the total number of current representatives in the state's legislature.

Sometimes it is challenging to access the population. The sample is then obtained from the population.

The sample size and population size are two important elements of statistics.

Sample size is the number of individuals in a study, while the population size is the total number of individuals who could be studied.

To know more about size visit:

https://brainly.com/question/31259901

#SPJ11

Answer: 8

Step-by-step explanation:

Answer: 8

Step-by-step explanation: If you do the same process you are still going to get 8 because there is no remainder like in some other fractions like 4/3

Answer:

\(C=10000(0.852)^t\)

Step-by-step explanation:

Let the exponential function be,

\(C=a(b)^t\)

Here, C = cost of the car

t = Duration or period in years

From the given table,

Two points representing cost of the car and time are (10000, 0) and (8520, 1),

For (10000, 0),

\(10000=a(b)^0\)

a = 10000

For (8520, 1)

8520 = \(10000(b)^1\)

\(b=\frac{8520}{10000}\)

b = 0.8520

Therefore, exponential equation will be,

\(C=10000(0.852)^t\)

Answer:

400 total .... 120 officers

Step-by-step explanation:

.7 X = 280

x=400

Answer:

30% of 280 is 84.

What I did to find the answer was multiply 280 by 3 then divide by 10.

I checked it with a calculator and got the same result being 84.

Answer:

girl = 7

boy = 5

Step-by-step explanation:

Answer:

boy = 5

girl = 7

Answer:

((3 1/5)/5) √(-96) =

6.27069374 i

Step-by-step explanation:

The greatest possible value of $xy$ is $17\times5=\boxed{85}$. To get the greatest possible value of $xy$, we need to maximize the values of $x$ and $y$. We can start by rearranging the equation $5x+3y=100$ to solve for one of the variables in terms of the other:

$5x+3y=100 \implies 5x=100-3y \implies x=\frac{100-3y}{5}$
Since $x$ must be a positive integer, $100-3y$ must be divisible by 5. The largest multiple of 3 less than 100 is 99, so we can try values of $y$ starting from 1 and working up to 33 (because if $y\geq34$, then $5x\leq0$, which is not positive).
When $y=1$, we get $x=\frac{100-3}{5} = 19.4$, which is not an integer.
When $y=2$, we get $x=\frac{100-6}{5} = 18.8$, which is also not an integer.
When $y=3$, we get $x=\frac{100-9}{5} = 18.2$, still not an integer.
When $y=4$, we get $x=\frac{100-12}{5} = 17.6$, still not an integer.
When $y=5$, we get $x=\frac{100-15}{5} = 17$, which is an integer.
From here, we can continue to increase $y$ and see that the values of $x$ will only decrease. Thus, the greatest possible value of $x$ is 17 and the corresponding value of $y$ is 5.

Learn more about possible value here, https://brainly.in/question/12676364

#SPJ11

Answer:

r≈3.39cm

Step-by-step explanation:

Using the formula

V=πr2h/3

r=3V

πh=3·72

π·6≈3.38514cm

Keiko purchased a prepaid phone card for $25 . long distance calls cost 9 cents a minute using this card. If the remaining credit on her card is $23.92 , then the call lasted for 12 minutes.

When Keiko made her call, she used some of the credit on her prepaid phone card. To find out how many minutes her call lasted, we need to determine the cost of the call and divide that by the cost per minute.

First, we find the difference between the original value of the card ($25) and the remaining value ($23.92), which gives us the cost of the call: $25 - $23.92 = $1.08.

Next, we need to determine the cost per minute for the long distance calls made with the card. We know that the calls cost 9 cents per minute, so we convert this to dollars: 9 cents * $0.01/cent = $0.09/minute.

Finally, we divide the cost of the call by the cost per minute to get the number of minutes: $1.08 / $0.09/minute = 12 minutes. So, Keiko's call lasted for 12 minutes.

To learn more about credit click on,

https://brainly.com/question/1547545

#SPJ4

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%.

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%. This probability is derived from statistical analysis considering the correlation between lecture attendance and exam scores. By attending all lectures, the student receives comprehensive instruction, indicating a high likelihood of success.

The calculated probability implies a 97.13% chance of achieving the desired score. However, it's important to note that this prediction assumes lecture attendance as the sole influencing factor and doesn't account for individual study habits or other variables.

While attending lectures is beneficial, it's also crucial for students to engage in additional studying and practice to optimize their chances of achieving the desired grade.

Learn more about Probability click here : brainly.com/question/30034780

#SPJ11

Answer:

10.7

Step-by-step explanation:

use

a^2+b^2=c^2

...........

Answer:

x ≈ 10.72

Step-by-step explanation:

Use the Pythagorean Theorem, or

a² + b² = c²

to find x.

a² + b² = c²

9² + x² = 14²

81 + x² = 196

Subtract 81 from both sides.

x² = 115

Take the square root.

x = √115

When rounded to the nearest hundredth as a decimal, the answer is

x = 10.72.

The turning point of a parabola, also called the vertex, is the point on the parabola where the graph changes from increasing to decreasing, or from decreasing to increasing.

What is parabola?

A parabola may be a formed plane curve wherever any point is at an equal distance from a fixed point (known because the focus) and from a fixed line that is known because the directrix.

Main BODY:

When a graph is rising from left to right, we say that it is increasing. When a graph is falling from left to right, we say that it is decreasing. The points at which this trend changes in a graph are called the turning points of the graph. Since a parabola has the shape of a U or an upside down U, it has exactly one turning point, which we can identify using the following facts:

Hence ,The turning point of a parabola is called the vertex.

to know more about vertex  , visit:

https://brainly.com/question/21191648

#SPJ1

There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

To know more about natural numbers, refer here:

https://brainly.com/question/16978976

#SPJ4

Answer:

Its B

Step-by-step explanation:

Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test

The correct option that accurately classifies each angle as acute, right, obtuse, or straight is:

A. LKN = 45°, acute;

HKL = 135°, obtuse;

HKN = 180°, straight

It should be noted that acute angles are the angles that are less than 90°. Therefore, in this case, LKN has 45° and is therefore an acute angle.

It should be noted that an obtuse angle is the angle that is greater than 90° and less than 180°. Therefore, HKL is 135° and is therefore an obtuse angle.

A straight angle is an angle that the sides lie in opposite directions for the vertex and it equals two right angles which will be 180°. Therefore, HKN is a straight angle.

Learn more about acute angles on:

brainly.com/question/6979153

#SPJ1

Answer

x = 12, y = 5

x = -13, y = -20

Step by step explanation:

You have two equations, and you have to find a way to merge them.

x - y = 7 —— {1}

From {1}, y = x - 7 —— {2}

x² + y = 149 —— {3}

Rep {2} in {3}

x² + y = 149

x² + (x-7) = 149

x² + x - 156 = 0

(x-12) (x+13) = 0

x = 12 and x = - 13

When x = 12, y = 12 - 7 = 5

(12, 5)

When x = - 13, y = - 13 - 7 = - 20

(-13, - 20)

The required area of the tessellation is 1152 sq inches.

Region is the proportion of a locale's size on a surface. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

We have

given tessellation consist of squares and rectangle.

From the diagram, we get;

Dimensions of square are 6 by 8 and that of rectangle 12 by  8 in.

Then

total area = area of square + area of rectangle

total area = area of two triangles + area of 11 rectangle

total area = 2(6*8) + 11(12*8)

total area = 96 + 1056

total area = 1152 sq inches.

Thus required area of the tessellation is 1152 sq inches.

T know more about Area visit:

brainly.com/question/27683633

#SPJ1

The factors of the given expression are 2av² and (2av³-9).

The given expression is 4a²v⁵-18av².

The factors are the polynomials which are multiplied to produce the original polynomial.

2av²(2av³-9)

Therefore, the factors of the given expression are 2av² and (2av³-9).

To learn more about the factorisation of polynomial visit:

https://brainly.com/question/16789195.

#SPJ1

We need to determine a few characteristics of the following linear equation:

The first step we need to take is to isolate the "y" variable on the left side.

Now we need to analyze this function and provide the necessary characteristics.

First is the Domain. The Domain of a function is the group of all numbers that can be used as an input (x), in this case the Domain is the whole Real group.

Second is the Range, which is the group of numbers that can be the output of the function (y), for this case we also have the whole Real group as Range.

Then we need to find the "Zero". Which is the value at which the function crosses the x-axis, to calculate it we must make "y=0" and solve for x.

The zero is equal to 12.

The slope of the function is the number multiplying "x", in this case it is -1/2.

The slope is negative, decrescent.

To find the value of f(8), we need to replace x by 8 and solve for y.

The value of f(8) = 2.

To determine the value of x where f(x) is equal to 5, we need to replace f(x) by 5 and solve for x.

The value of x for which f(x) is equal to 5, is 2.

Now we need to graph the equation, for that we have to use two of the points we found before, we will use (8, 2) and (2,5). We need to mark these points at the coordinate plane and draw a line between them:

Answer:

D. 14.4

Step-by-step explanation:

In similar polygons, corresponding sides are proportional. We can write the proportion:

\(\frac{l-A}{l-B} =\frac{w-A}{w-B}\)

l-A is the length of A, l-B is the length of B, w-A is the width of A, and w-B is the width of B. We are given the ratio of the lengths is 2:5, so we can substitute it in:

\(\frac{2}{5} =\frac{w-A}{36}\)

We can cross multiply:

72 = 5w-A

w-A = 14.4

Answer:

Step-by-step explanation:

Let the height of their oldest sister isabella be z centimeters. Roger is x centimeters tall and Olivia is y centimeters tall.

If their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia's height, this can be expressed as shown;

First let us get the sum of Roger and Olivia's height;

The sum of Roger and Olivia's height = (x+y)cm

The double of the sum of their ages = 2* (x+y)cm = 2(x+y)cm

Now if Isabella, is 25 centimeters shorter than the double of the sum of their ages, the expression will be [2(x+y)-25]

Since the height of isabella is z, the expression that model isabella's height will be expressed as z =[2(x+y)-25]cm

Answer:

Step-by-step explanation:

a) E = UΣV^T, b) Generate a vector of independent standard normal random variables, z = (z1, z2)^T, c) x1 = μ + E^(1/2)z1, x2 = μ + E^(1/2)z2, d) the factor loading is the square root of 1.586 multiplied by the vector (0.924, -0.383), e) 1 - (0.924^2 * 1.586), f) X1 = μ1 + (factor loading for X1) * F1, X2 = μ2 + (factor loading for X2) * F2.

(a) The singular value decomposition (SVD) expression for the covariance matrix E can be written as: E = UΣV^T, where U is an orthogonal matrix consisting of the eigenvectors of E, Σ is a diagonal matrix with the square roots of the eigenvalues of E on the diagonal, and V^T denotes the transpose of the matrix V.

(b) To generate random vectors from the multivariate normal distribution N(0, E), where a = (0, 0)^T and E is given, you can follow these steps:

1. Compute the matrix square root of E, denoted as E^(1/2), by performing the eigenvalue decomposition of E: E = QΛQ^T, where Q is a matrix of the eigenvectors of E and Λ is a diagonal matrix with the eigenvalues of E on the diagonal.

2. Generate a vector of independent standard normal random variables, z = (z1, z2)^T.

3. Compute the random vector x = μ + E^(1/2)z, where μ is the mean vector (0, 0)^T.

(c) Using the provided N(0, 1) random numbers (-0.626, 0.184, -0.836, 1.5), and assuming these correspond to z1, z2, z3, and z4 respectively:

1. Take the first two values (-0.626 and 0.184) as z1 and z2, and compute the random vector x1 = μ + E^(1/2)z1.

2. Take the next two values (-0.836 and 1.5) as z3 and z4, and compute the random vector x2 = μ + E^(1/2)z2.

(d) When using only the second eigenvalue and eigenvector (A2 and e2) for factor analysis, the factor loadings can be calculated as the square root of the eigenvalue multiplied by the corresponding eigenvector. In this case, the factor loading is the square root of 1.586 multiplied by the vector (0.924, -0.383).

(e) The specific variances for the two random variables can be obtained by subtracting the squared factor loadings from their respective eigenvalues. For the first random variable (X1), the specific variance is 4 - (0.383^2 * 1.586). For the second random variable (X2), the specific variance is 1 - (0.924^2 * 1.586).

(f) The random variables X1 and X2 can be expressed in terms of the obtained factor loadings as:

X1 = μ1 + (factor loading for X1) * F1,

X2 = μ2 + (factor loading for X2) * F2,

where μ1 and μ2 are the means of X1 and X2 respectively, and F1 and F2 are the latent factors associated with X1 and X2, respectively.

Learn more about random vectors here: brainly.com/question/33060090

#SPJ11