A rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle? The change in the area of the rectangle is square feet. Reset Next​

Answer:

$10.80

Step-by-step explanation:

$2.40 + $2.80(3)

$2.40 + 8.40

Answer:

$10.80

Step-by-step explanation:

Video game: $2.40 x 1 = $2.40

DVD: $2.80 x 3 = $8.40

$8.40 + $2.40 = $10.80

The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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Answer:

x = 0; y = 5

Step-by-step explanation:

-5x + 3y = 15

2x - 3y = -15

Add the equations to eliminate y.

3x = 0

x = 0

Now plug in 0 for x in the first equation to solve for y.

-5(0) + 3y = 15

3y = 15

y = 5

Answer: x = 0; y = 5

start bringing to the right side the constant portion

find the square root on both sides

let all constant numbers to one side

simplify for both solutions

approximate the answers

Answer:

750 decimeters

Step-by-step explanation:

1 meter is equal to 10 decimeters.

so 75 times 10 equals your answer: 750 decimeters

Hope that helps!

Answer:

It would be C and E

Step-by-step explanation:

I know I'm extremely late but for anyone else who needs to know here you go :)

Answer:

The question isn't clear. Can you provide more information or context? What is A? Is it a set or a number? Without this information, I can't provide a meaningful answer.

   The probability that the sample mean will be within ±5 of the population mean is 0.6826

If the population is normally distributed, the sample means will be normally distributed even with smaller samples. [This is known as the Central Limit Theorem, which states that when a large number of random samples are drawn from a population, the means of these samples will be normally distributed.]

Z=X-μ/σ

Given here, σ = 50 , μ =200 , σₓ = 5 , n = 100 ,                                                                      

                     z = 205-200/5    z = 195-200/5

we get z= ±1

From the z table, we get P( z= -1)  = 0.1587

From the z table we get P( z= 1)  = 0.8413

Thus the final answer is = 0.8413- 0.1587

                                        =  0.6826

Hence,  the probability that the sample mean will be within ±5 of the population mean is  0.6826

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The coordinates of point H' will be: H'(3, 9)

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

The original object's dimensions, orientation, or shape are unaffected by translation.

Translating a point P(x, y) 1 unit up means we need to add to use P'(x, y+1), that is adding 1 unit to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 1 unit up. So, use the formula

P(x, y) → P'(x, y + 1)

Thus, the coordinates of point H' will be:

H( 3, 8) → H'( 3, 8+1) → H'(3, 9)

Therefore, the coordinates of point H' will be: A'(3, 9).

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The slope of a horizontal line is always zero.

What is slope?

The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:

m = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are any two points on the line.

The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.

By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:

slope = change in y / change in x = 0 / (any non-zero value of x) = 0

So, the slope of a horizontal line is always zero.

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This axiom says that there is no upper bound to the number of elements that a set can have, thus, sets with infinite elements do exist.

First, we need to give the definition of an axiom. This is a proposition that is assumed to be true, and don't need a demonstration.

Axioms are the logical base of mathematics, so these are usually used to define concepts or basic rules.

In set theory,  the axiom of infinity just claims (and because it is an axiom, it must be true) that there are sets that have a infinite number of elements.

A trivial case is the set of real numbers, which we know has infinite elements because there are infinite real numbers.

So there is not a maximum for the number of elements that a set can have.

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When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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In temperatures between -4°F and 113°F, Layla should refrain from using her phone.

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The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

Answer:

i think it is 15 for x

and i think it's 10 for y

Step-by-step explanation:

tell me if i'm wrong

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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Step-by-step explanation:

First, let's calculate the amount that Eleanor would need to finance after the down payment:

$1,987.00 - $87.00 = $1,900.00

Option 1: Financing through the dealer

Finance charge:

Total amount paid - amount financed = finance charge

$169.00 x 12 months = $2,028.00

$2,028.00 - $1,900.00 = $128.00

APR:

We need to use the following formula to calculate APR:

APR = ((finance charge / amount financed) x (12 / loan term in months)) x 100

APR = (($128.00 / $1,900.00) x (12 / 12)) x 100

APR = 0.0674 x 100

APR = 6.74%

Total amount paid:

Amount financed + finance charge = total amount paid

$1,900.00 + $128.00 = $2,028.00

Option 2: Credit union loan

Finance charge:

Total amount paid - amount financed = finance charge

$114.19 x 18 months = $2,055.42

$2,055.42 - $1,900.00 = $155.42

APR:

We can use the same formula as before to calculate APR:

APR = ((finance charge / amount financed) x (12 / loan term in months)) x 100

APR = (($155.42 / $1,900.00) x (12 / 18)) x 100

APR = 0.0458 x 100

APR = 4.58%

Total amount paid:

Amount financed + finance charge = total amount paid

$1,900.00 + $155.42 = $2,055.42

The credit union loan is the better deal. Here's why:

The finance charge is lower for the credit union loan ($155.42 vs. $128.00).

The APR is also lower for the credit union loan (4.58% vs. 6.74%).

The total amount paid is higher for the credit union loan, but this is because it has a longer repayment period (18 months vs. 12 months). If we look at the total amount paid per month, the credit union loan is still the better deal ($114.19 vs. $169.00).

Therefore, Eleanor should choose the credit union loan.

Answer:

15 pieces of pineapple

Step-by-step explanation:

Answer:

\( \boxed{x = 4.0497}\)

Step-by-step explanation:

\( \boxed{question \: \underline{4}.} \\ 5 {x}^{2} - 7(9.5 + 3) = - 5.5 \\ 5 {x}^{2} - 66.5 - 21 = - 5.5 \\ 5 {x}^{2} = - 5.5 + 87.5 \\ 5 {x}^{2} = 82 \\ {x}^{2} = \frac{82}{5} \\ {x}^{2} = 16.4 \\ x = \sqrt{16.4} \\ \boxed{ x = 4.0496913463}\)

♨Rage♨........if you still need my help with the rest....then post each question seperatly.♨

Answer:

\(b=15.6\)

Step-by-step explanation:

\(4\frac{1}{3}*b+b=6b-10.4\)

Convert the fraction to an improper fraction (\(a\frac{b}{c}= \frac{ac+b}{c}\)):

\(\frac{13}{3} *b+b=6b-10.4\)

Simplify multiplication:

\(\frac{13b}{3}+b=6b-10.4\)

Now simplify addition (\(x=1x\)):

\(\frac{13b}{3}+1b\\\\\frac{13b}{3}+\frac{1b}{1}\\\\\frac{13b}{3}+\frac{3b}{3} \\\\\frac{16b}{3}=6b-10.4\)

Undo the fraction by multiplying both sides by 3:

\(3(\frac{16b}{3})=3(6b-10.4)\\\\16b=18b-31.2\)

Subtract 18b from both sides:

\(16b-18b=18b-18b-31.2\\\\-2b=-31.2\)

Divide both sides by -2 to isolate the variable b:

\(\frac{-2b}{-2}=\frac{-31.2}{-2} \\\\b=15.6\)

The value of b is 15.6.

:Done

Answer: x+x+10+2x−3=503

Step-by-step explanation:

Let's define 3 variables:

S = # of stuffed envelopes by Sarah.

X = # of stuffed envelopes by Lacey.

M = # of stuffed envelopes by Mark.

S = 10 + X.

M = 2*X - 3.

X + S + M = 503.

Now we can replace the first two equations into the third equation:

X + (10 + X) + (2*X - 3) = 503.

Then the correct option is: x+x+10+2x−3=503

Now we can also solve the equation, just because it is fun:

X + 10 + X + 2*X - 3 = 503

4*X + 7 = 503

4*X = 503 - 7 = 496

X = 496/4 = 124

Lacey stuffed 124 envelopes.

Answer: 15:13

Step-by-step explanation: 7/7=3500

Answer:

4/5

Step-by-step explanation:

m=y2-y1/x2-x1

=6-2/6-1

4/5

The value of y is 48

y= kx

let's solve for k which is the constant

y= 8 , x= 4

k= 8/4

k= 2

Next is to calculate the value of y when x is 24

y = 2 × 24

y= 48

Hence the value of y is 48

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Answer:

Refer to the step-by-step explanation.

Step-by-step explanation:

Come up with a monomial expression and solve it.

A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.

Here are a few examples of an monomial expression:

\(\hrulefill\)

Let's work with the monomial expression, 3x²y³z.

To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.

Plug these values into the expression:

3x²y³z

=> 3(3)²(2)³(1)

=> 3(9)(8)(1)

=> 27(8)(1)

=> 216(1)

=> 216

Thus, the expression is solved.

Answer:

\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)

Step-by-step explanation:

We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:

\(a^2 + b^2 = c^2\)

↓ plugging in the given values

\(a^2 + 2^2 = 14^2\)

↓ subtracting 2² from both sides

\(a^2 = 14^2 - 2^2\)

\(a^2 = 196 - 4\)

\(a^2 = 192\)

↓ taking the square root of both sides

\(a = \sqrt{192\)

↓ simplifying the square root

\(a = \sqrt{2^6 \cdot 3\)

\(a = 2^{\, 6 / 2} \cdot \sqrt3\)

\(a = 2^3\sqrt3\)

\(a = 8\sqrt3\)

Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.

\(a = \dfrac{1}{2}x\)

↓ plugging in the a-value we solved for

\(8\sqrt3 = \dfrac{1}2x\)

↓ multiplying both sides by 2

\(\boxed{x = 16\sqrt3}\)

The area of the shaded region is expressed as a polynomial in standard form as:  14x² - 6x - 2.

The area of the shaded region in the image attached below = area of the larger rectangle - area of the smaller/white rectangle.

Area of a rectangle = (length)(width).

Dimensions of the larger rectangle:

Length = 3x - 1

Width = 5x + 2

Area of the larger rectangle = (3x - 1)(5x + 2)

Expand, (3x - 1)(5x + 2):

Area of the larger rectangle = 15x² + x - 2

Dimensions of the smaller/white rectangle:

Length = x + 7

Width = x

Area of the smaller/white rectangle = (x + 7)(x) = x² + 7x

Area of the shaded region = (15x² + x - 2) - (x² + 7x)

Area of the shaded region = 15x² + x - 2 - x² - 7x

Area of the shaded region = 14x² - 6x - 2

Therefore, the area of the shaded region is expressed as a polynomial in standard form as:  14x² - 6x - 2.

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Based on the information provided, it seems that Shelby has taken out a closed-end credit for her car, which includes all interest. The schedule of her payments for the first 4 years is shown in a table, and the total amount of the credit (including all interest) is $9,478.58.

How to calculate the problem?

A closed-end credit is a loan that has a fixed repayment term and a set number of payments. It is often used to finance a specific purchase, such as a car or a home. In the case of Shelby, the closed-end credit was used to purchase her car.

The table showing the schedule of Shelby's payments for the first 4 years is important because it provides information on the amount of each payment, the interest rate, and the length of the repayment term. This information can be used to calculate the total amount of the credit, which is $9,478.58.

To calculate the total amount of the credit, you would need to add up all of the payments that Shelby will make over the entire repayment term. This would include the principal amount of the loan, as well as any interest that is charged on the loan. The interest rate is typically expressed as an annual percentage rate (APR), and it is used to calculate the amount of interest that is charged on the loan each year.

Once you have added up all of the payments, you can arrive at the total amount of the credit. This figure represents the total cost of the loan, including all interest charges and fees.

In conclusion, based on the information provided, Shelby's total closed-end credit for her car (including all interest) is $9,478.58. This figure was calculated by adding up all of the payments that Shelby will make over the entire repayment term of the loan.

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Your complete question is :-Shelby’s total closed-end credit for her car (including all interest) The table shows the schedule of her payments for the first 4 years. $9,478.58.

Answer: 1.5

Explanation: I'm sorry, I can't rlly get into to much details bc i have an assignment thats do in a couple of minutes but hopefully this helps!

Answer:

4/3, or 1 1/3

Step-by-step explanation:

For a whole number, 1 is always the denominator. It would look like 4/1 x 3/8. Then you would multiply both the numerators and denominators. That would get you 12/8. Simplify it, to get 4/3. If you want to simplify it even more, you would get 1 1/3.