The width of a rectangle is 15 cm less than the length. The perimeter is
8 cm. Find the rectangle's dimensions.

Answer:

$45

Step-by-step explanation:

Charles meets with customers on a daily basis. He uses the function f(x) = 5| x - 8| + 20 to calculate how many dollars he charges, per hour, for his time. How much does Charles charge per hour if a customer hires him for 3 hours?

f(x) = 5| x - 8| + 20

solve for when x = 3

f(3) = 5| 3 - 8| + 20

f(3) = 5| -5| + 20

f(3) = 25 + 20

f(3) = 45

Firstly, we want to start by drawing the triangles

We have this as follow;

For triangle HOT, we have;

We want to get the values of x and y firstly

Since both triangles are congruent, the order of the sides match

Hence, we have angle O and H equal

Thus, we have that;

Now, to find Y, we need the measure of angle N

Angle N is same as W which we already have as 5y+ 26

Substitute N for Y

Since all the angles of a triangle sum up to 180, we have it that;

Now, we want the measure of each of the angles;

1. W = N = 5y+ 26 = 5(13) + 26 = 91

2. H = O = 5x-1 = 5(9) - 1 = 44

3. Y = T = 4x + 9 = 4(9) + 9 = 45

Answer:

E' will be at (2, -6)

Step-by-step explanation:

Here we are given point E at (2, 6).

A reflection over the x-axis will keep the x coordinate the same while changing the y value to become the additive inverse (the number in which adding to the current value will get you zero). In this case, it is -6.

E (2,6) --> E' (2, -6)

Another way of thinking of it is reflecting on the x-axis while change the value from (x, y) to (x, -y).

Answer:

x = 5, y = 13

Step-by-step explanation:

Solve for x:
42 = 8x + 2

40 = 8x

x = 5

This is solved using the alternate interior angles theorem, which states that alternate interior angles (in this case, the 42-degrees and 8x + 2 degree angles) are the same.

Solve for y:

180 = 42 + 6(2y - 3)

180 = 42 + 12y - 18

180 = 24 + 12y

156 = 12y

y = 13

This is solved using the same-side interior angles theorem, which states that same-side interior angles (in this case, the 42-degrees and 6(2y-3)-degree angles) add up to 180 degrees.

We can conclude that the ascending to descending order of the given fractions are, 7/5, 3/2, 11/4, 15/4, and 13/3.

So, first, we need to find the LCM of all the denominators:

Now, the fractions will be:

So, ascending to descending order will be:

Therefore, we can conclude that the ascending to descending order of the given fractions are, 7/5, 3/2, 11/4, 15/4, and 13/3.

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when a number is power to a number a, and it is also power to another number b we can apply the property

apply this to the expression above

continue by applying the property of a product between the same number as a base but with a different exponent

apply this to the expression above

the value of p is equal to 43.

Okay, here we have this:

Considering the provided information, we are going to analize whether it is better to use a sample or the population in the proposed situation, so we obtain the following:

To know the most popular song in an entire country, it is necessary to use the entire population, since the result of the favorite song if only one sample is used will not give results with certainty, considering that the population that is not covered could generate changes in the result.

$17.85

Explanation

you can easily solve this by using a rule of three.

Let

x represents the maximum vale

then

if

Step 2

the proportion is the same, so

Answer:

The construction is a parallel line to a given line  from a point not on the line.

Step-by-step explanation:

For a given figure,

To construct a parallel line

Step 1 : Draw transversal line through any point not on line which is given.

Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.

Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line

Step-by-step explanation:

A cash flow statement is divided into three sections: operating activities, investments, and financial activities.

The net balance of money coming into and going out of a business at a particular period is referred to as cash flow. A firm constantly receives and expends cash. For instance, when a retailer buys merchandise, money leaves the company and goes to its suppliers.

According to question:

A cash flow statement is divided into three sections: operating activities, investments, and financial activities.

Operating activities: Cash flow activities that either produce income or keep track of the funds used to produce a good or service are referred to as operating activities. Inventory transactions, interest and tax payments, employee paychecks, and rent payments are all examples of operational business activity. This section does not cover any additional sources of cash flow, such as investments, debts, or dividends.

Investment activities: The cash flow statement's second column lists profits and losses resulting from investments in assets like property, plant, or equipment (PPE), demonstrating how the company's overall cash position has changed. Analysts look for changes on a cash flow statement when they want to determine the company's investment in PPE.

Financial activities: The cash flow between the company's owners and creditors is tracked in the third section of the cash flow statement. Transactions involving debt, stock, and dividends are all considered financial operations. In these transactions, the receipt of capital (from lenders or investors, for example) triggers the recording of incoming cash, and the payment of dividends triggers the recording of outgoing cash.

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Analia proposed the following two measures to determine which school had a better academic record:

B. Graduation rate and student budget

D. Average SAT score / Per-student budget

To specify a number that represents academic accomplishment;

We compare the budget per pupil for each school to a corresponding metric or parameter that measures the academic performance of the students in each school.

The following variables could be used to gauge academic achievement:

the success rate of every school.

The SAT score of each institution.

Consequently, the amount to assess academic success in relation to each student's budget may be represented as;

Graduation rate and student budget

Average SAT score / Per-student budget

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Answer:

47.900

Step-by-step explanation

45.50 plus 2.275 is 47.825 rounded is 47.9

Step-by-step explanation:

y = mX + c

3y = -3x - 1

divide by 3

y = -x -1/3

slope = -1 of this line and parallel lines

Answer:

-1 is the slope beause lines with the same slope are parallel.

The best estimate for the pigeon population is 540.

Finding an estimate or approximation—a value that may be used for a purpose despite the possibility of incomplete, ambiguous, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Counting a small sample of something and extrapolating that number to a wider population is how estimation is frequently done. Calculating how many sweets of a certain size are contained in a glass jar is an example of estimation.

380 x 27/19

= 540

So the answer is

540

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By using the method subtraction, the indicated Z score the graph depicts IS 0.30501

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given that,

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1 and it is given by the probability density function and distribution function

Areas of the normal distribution are often represented by tables of the standard normal distribution.

Shaded area is 0.80501 according to the attachment. Then the lookup area is

Find the indicated z score.

z=x-μ/ σ

where Z is the value on the standard normal distribution, X is the value on the original distribution, μ is the mean of the original distribution, and σ is the standard deviation of the original distribution.

According to the picture below z is

z=0.80501- 0.5/1 = 0.30501

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The value of x is (t - ab)/ad while taking the subject x.

So, t = a(b + dx):

Now, solve taking the subject 'x' as follows:

Therefore, the value of x is  (t - ab)/ad while taking the subject x.

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REmember that

in a parallelogram, consecutive angles are supplementary

that means

.mmmm

therefore

substitute

120-2x+70+x=180

solve for x

2x-x=190-180

After conducting some mathematical operations, we conclude that Lisa purchased 7 pounds of almonds.

So, pounds of Almonds Lisa purchased:

Now, calculate the pounds of almonds Lisa purchased as follows:

(Refer to the image attached below for calculation)

Therefore, after conducting some mathematical operations, we conclude that Lisa purchased 7 pounds of almonds.

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The correct question is given below:

Lisa purchased almonds for $3.50 per pound. She spent a total of $24.50. How many pounds of almonds did she purchase?

The answer to the equation is -3/2.

1.Remove parentheses from each side of the equation and combine similar phrases to make it simpler.

2.Identify the variable term on one side of the equation by adding or subtracting.

3.You can find the variable's value by multiplying or dividing.

Given equation is x²+ 3-2x= 1+ x² +5

Thus x² from both sides gets cancelled because x²-x²= 0

Now we get 3-2x = 6

-3 = 2x

On dividing by 2 we get,

-3/2 = x

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Answer: x = -1 y=3

Step-by-step explanation:

yeah just do AP algebra.2 then you'll know the answers

Solution:

Given the equation;

Now, distribute 2;

Then, step 3;

Divide both sides by 2;

CORRECT OPTION: 2 should be distributed as 2y + 12; y = 6

The correct equation to be written for 500 will be 5*100 = 500. This same can also be written as 50*10 = 500 in the equational form to represent 500.

A mathematical equation can be stated as a formula that uses the equals sign in order to represent the equality of two expressions. In other words, it's a statement that shows that the values of two mathematical expressions are equal.

The equality between the equations here is shown by the equals (=) sign

As an example, 3x + 5 = 14 can be stated as an equation, in which 3x + 5 and 14 are two expressions that are connected by an ‘equal’ sign, thus providing an equation form.

If you set on typing the actual types of equations, then you will just find many to categorize from.

But mainly the types of equations can be classified as:

1) Algebraic Equations (includes linear, quadratic, cubic, polynomial equations)

2) Radical Equations

3) Exponential Equations

4) Rational Equations

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The area of Desert A is 500,000 square miles and the area of Desert B is 100,000 square miles.

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Area of a square is side × side.

Let the area of Desert A = x square miles

and the area of Desert B = y square miles

Given that, the area of Desert A is five times the area of Desert B,

i.e. x = 5y                         ...(1)

and the sum of their areas is 600,000 square miles,

i.e.  x + y = 600,000  square miles                  ...(2)

Putting equation (1) in (2), we get

         5y + y = 600,000

or        6y = 600,000  or      y =  100,000  square miles

Using equation (1),

  x = 5 × 100,000 = 500,000  square miles

Hence, the area of Desert A is 500,000 square miles and the area of Desert B is 100,000 square miles.

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Step-by-step explanation:

................ N.....

Answer:

The polygon has 14 sides.

Explanation:

Given that the sum of the interior angles of the polygon is 2,160.

Recall that the sum of interior angles of a polygon can be calculated using the formula;

Substituting the value of T, to solve for n;

Therefore, the polygon has 14 sides.

The surface area of the triangular prism is 224 square units.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area. The measurement that expresses the size of a region on a plane or curved surface is called area. 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 form or planar lamina.

Given Data

Surface area = ( S₁ + S₂ + S₃) × Length

S₁ = 6

S₂= 8

S₃ = 2

L = 14

Surface area = ( 6+8+2)14

Surface area = 16(14)

Surface area = 224

The surface area of the triangular prism is 224 square units.

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We are asked to simplify the following expression

Recall the quotient rule of radicands given by

Applying the above rule to the given expression

Notice that the square root of 324 is equal to 18

Also, notice that we can break 405 into factors as

So, the expression becomes

Therefore, the simplified expression is

a = √5

b = 2

The variance of the number of male students is 7.42 if the university has 10,000 students of which 45% are male and 55% are female.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

P(male) = 45% = 0.45

P(female) = 55% = 0.55

Variance = SD²

Variance  = nP(male)xP(male)

Variance  = 30x0.45x0.55

Variance = 7.42

Thus, the variance of the number of male students is 7.42 if the university has 10,000 students of which 45% are male and 55% are female.

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Please, give me some minutes to take over your question

I am working on it

______________________________-

LG = 34

EH= 22

JL= 16

_______________________________

Pythagoras theorem

Hypotenuse = H

Side 1 = S1

Side 2 = S2

H^2 = S1^2 + s^2

__________________________

This is a triangle with multiple right triangles inside

JG

34^2 = 16^2 + JG ^2

JG = 30

_________________________________

LH

_________________________________

Answer

LH

EL

JG = 30

EK

KG​