Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch.
(1 point) help me pls D;
please D:​

Answer: To find the points where the two skaters might collide, we need to find the values of x and y that satisfy both equations:

y = -3x + 8

y = -2x^2 + 7x

We can set the two equations equal to each other and solve for x:

-3x + 8 = -2x^2 + 7x

This simplifies to:

2x^2 - 10x + 8 = 0

Dividing both sides by 2, we get:

x^2 - 5x + 4 = 0

Factoring the left side, we get:

(x - 1)(x - 4) = 0

So the solutions for x are x = 1 and x = 4.

To find the corresponding values of y, we can substitute these values of x into either equation. Let's use y = -3x + 8:

When x = 1, y = -3(1) + 8 = 5

When x = 4, y = -3(4) + 8 = -4

Therefore, the two skaters might collide at the points (1, 5) and (4, -4).

Step-by-step explanation:

Given:

P = 34 [Perimeter]

W = 6.5 {let's use W and L to make it easy to read]

Also known:

P = W + L + W + L = 2(W+L)

Fill in values:

34 = 2(6.5+L) [NOTE: This is an equation to determine the length (L) of the rectangle."]

17 = 6.5 + L [NOTE: This is a simplified form of the above equation.]

10.5 = L [NOTE: This is the solution (the value of L)]

Answer:

Step-by-step explanation:

Let x be the cost per pound of the cinnamon tea and y be the cost per pound of the spice tea.

From the first mixture, we have:

12x + 3y = 39

From the second mixture, we have:

16x + 6y = 58

We can solve this system of equations by elimination. Multiplying the first equation by 2 and subtracting it from the second equation gives:

16x + 6y = 58

(24x + 6y = 78)

-8x = -20

Dividing both sides by -8 gives:

x = 2.5

Substituting this value of x into the first equation, we get:

12(2.5) + 3y = 39

Simplifying, we get:

30 + 3y = 39

Subtracting 30 from both sides gives:

3y = 9

Dividing both sides by 3 gives:

y = 3

Therefore, the cost per pound of the cinnamon tea is $2.50 and the cost per pound of the spice tea is $3.

Answer:

Without a graph provided, it's difficult to determine which of the given functions represents the graph on the right. However, we can analyze each function to see if it has any characteristics that match the shape of the graph.

f(x) = x(x – a)(x – b)2

This function has one x-intercept at x = 0 and a double root at x = b. If b > a, then the function will have a local maximum at x = a and a local minimum at x = b. This function may represent a graph with a single x-intercept, a double root, and a local maximum and minimum.

f(x) = (x – a)(x – b)2

This function has one x-intercept at x = a and a triple root at x = b. If b > a, then the function will have a local minimum at x = a and a local maximum at x = b. This function may represent a graph with a single x-intercept, a triple root, and a local minimum and maximum.

f(x) = x(x – a)³(x – b)

This function has one x-intercept at x = 0 and a triple root at x = a. If a < b, then the function will have a local minimum at x = b. This function may represent a graph with a single x-intercept, a triple root, and a local minimum.

f(x) = x²(x – a)²(x – b)²

This function has two x-intercepts at x = 0 and x = a and a double root at x = b. If b > a, then the function will have a local maximum at x = a and a local minimum at x = b. This function may represent a graph with two x-intercepts, a double root, and a local minimum and maximum.

Based on these analyses, it's unclear which function represents the graph on the right, as all four functions have characteristics that could match the shape of the graph.

Answer:

It's A

Step-by-step explanation:

2023 edge

yw

Alen has read 60% of a book in which there are 80 pages in the book.

The term "total number" typically refers to the complete quantity or count of something. It can refer to the number of items in a set, the number of people in a population, the total sales of a company, or any other numerical quantity that represents a whole.

Let's say the total number of pages in the book is "x".

According to the problem, Alen has read 60% of the book, which means he has completed 0.6x pages.

He still has 32 more pages to finish, so the number of pages he has left to read is (x - 0.6x) = 0.4x.

We can set up an equation:

0.4x = 32

Solving for x:

x = 80

Therefore, there are 80 pages in the book.

To know more about total number visit:

https://brainly.com/question/28850076

#SPJ1

Answer:

Step-by-step explanation:

To calculate the company's debt ratio, we need to know its total liabilities and total assets. We can use the total assets turnover ratio to calculate the company's total assets:

Total assets turnover = Sales / Total Assets

1.04 = R6,500,000 / Total Assets

Total Assets = R6,500,000 / 1.04 = R6,250,000

Since the company is financed entirely with debt and common equity, its total liabilities are equal to its total debt. We can use the return on equity (ROE) formula to calculate the company's total equity:

ROE = Net Income / Total Equity

0.14 = R217,000 / Total Equity

Total Equity = R217,000 / 0.14 = R1,550,000

Now, we can calculate the company's debt ratio:

Debt Ratio = Total Debt / Total Assets

Debt Ratio = (Total Assets - Total Equity) / Total Assets

Debt Ratio = (R6,250,000 - R1,550,000) / R6,250,000

Debt Ratio = R4,700,000 / R6,250,000

Debt Ratio = 0.752 or 75.2%

Therefore, the company's debt ratio is 75.2%.

The geometric mean of the given numbers 8 and 6 is [tex]\sqrt{14}[/tex].

The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the collection of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers collectively and calculate their nth root, where n is the total amount of data values.

In other terms, the geometric mean is the product of n numbers divided by the nth root. As a result of the fact that in mathematical mean, the data values are added before being divided by the total number of values. However, when calculating the geometric mean, we add the provided data values before taking the root of the total number of data values using the radical index.

A number's square root is a value that, when multiplied by itself, yields the initial number. The opposite way to square an integer is to find its square root. Squares and square roots are therefore connected ideas.

The geometric mean of the given number is given by the formula

GM=[tex]\sqrt{\\a+b}[/tex]

      =[tex]\sqrt{8+6}[/tex]

      =[tex]\sqrt{14}[/tex]

To know more about geometric mean, visit

https://brainly.com/question/8934175

#SPJ1

Answer:

To find the interest rate, we can use the formula for simple interest:

I = Prt

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate

t = Time

We are given that P = $100, t = 3 years, and I = $15. Substituting these values, we get:

15 = 100 * r * 3

Solving for r, we get:

r = 15 / (100 * 3) = 0.05

Therefore, the interest rate on the savings account is 5%.

The values represents the linear function are:

x y

0 1

1 5

2 9

3 13

4 17

What is linear function ?

A linear function is a mathematical function that can be represented by a straight line on a graph. It has the form of:

y = mx + b

where m is the slope of the line, which determines how steeply the line rises or falls, and b is the y-intercept, which is the point where the line crosses the y-axis.

According to the question:
The table of values that represents the linear function y=4x+1 is:
x y

0 1

1 5

2 9

3 13

4 17
To generate these values, we can substitute different values of x into the equation y=4x+1 and solve for y.

To know more about linear function visit:
https://brainly.com/question/29281420
#SPJ1

Q) which table of values represents the linear function y=4x+1 ?

Answer:  mBED = 2(42°) = 84°

Step-by-step explanation:
  We are asked to find the measure of the central angle ∠BED in the circle given that the measure of the minor arc BD is 42°.

We can use the formula that states that the measure of a central angle is equal to twice the measure of its intercepted arc. That is,

m∠BED = 2*mBD

We can substitute the value of mBD, which is 42°, into our equation.

m∠BED = 2*42°

m∠BED = 84°

Therefore, the measure of the central angle ∠BED is 84°.

Answer:

Step-by-step explanation:

An example of an expression with 4 terms where 3 of them are like terms is:

$5x^2 + 7x - 2x^2 + 3x$

To rewrite this expression by combining like terms, we add the coefficients of the terms with the same variables raised to the same power. In this case, the two terms with $x^2$ are like terms, so we can add their coefficients:

$5x^2 - 2x^2 + 7x + 3x = 3x^2 + 10x$

The resulting expression has 2 terms.

Answer: Physical weathering, more specifically, ice wedging

Step-by-step explanation:

:D

Answer:

Step-by-step explanation: To find (f+g)(x), we simply add the two functions:

(f+g)(x) = f(x) + g(x)

= (3x - 5) + (7x - 3)

= 10x - 8

Therefore, (f+g)(x) = 10x - 8.

To find (f-g)(x), we subtract g(x) from f(x):

(f-g)(x) = f(x) - g(x)

= (3x - 5) - (7x - 3)

= -4x - 8

Therefore, (f-g)(x) = -4x - 8.

The specified central angle is 170 degrees since the figure is 17/36 of a full circle.

A central angle is an angle with endpoints on the perimeter and a vertex in the centre of a circle. An arc is defined by the angle in the centre of a circle.

Since the figure represents 17/36 of a full circle, the central angle that it subtends is also equal to 17/36 of 360 degrees (the measure of a full circle).

We can calculate this as follows:

Central angle = (17/36) x 360 degrees

Central angle = 17 x 10 degrees

Central angle = 170 degrees

Therefore, the measure of the marked central angle is 170 degrees.

To learn more about the central angle, refer:-

https://brainly.com/question/15698342

#SPJ1

Answer:

Step-by-step explanation:

To find:-

Answer:-

As we know that the measure of complete angle about any point is 360° = 2π rad .

Also we are given that the given circle is 17/36 of full circle. So the angle substended too be will be equal to 17/36 of the complete angle.

So that , we have;

==> Angle = 17/36 * 360°

==> Angle = 170°

Hence the value of central angle is 170° .

The area of the shaded region under normal distribution is: 3.51

The standard normal distribution is defined as the normal distribution with a mean of 0 and a standard deviation of 1.

The z-table or the  standard normal table is one that provides the area under the standard normal curve to the left of a specified value, or "z-value". The value for the area is also the probability that the variable is less than the specified z-value.

To the right of -2.25 and to the left of -0.35

From standard normal table, we have the p-values as:

Area to the left of -0.35 = 0.3632

Area to the left of -2.25 = 0.0122

Area of the shaded region = 0.3632 - 0.0122 = 0.351

Read more about Normal Area Distribution at: https://brainly.com/question/27275125

#SPJ1

Fabric cost ($15 per yard) and curtain making and hanging ($250). x represents the total cost of the fabric and Mrs. Andretti can use the formula 15x to calculate the fabric cost and add the $250 fixed charge to get the total cost of the curtain. 

Cost computation helps in deciding on pricing, manufacturing output, and sales. It also helps in figuring out the costs of the products and services the company sells.

X does not represent the cost of fabric. X represents the number of yards of fabric used.

15x + 250

Could be read as ($15 × # of yards) + $250

She must therefore pay $15 per yard of cloth in addition to the $250 base cost of having them produced and hung.

She may indicate the price of fabric with an additional variable.

Example: Y

Y= 15x

Cost of fabric is equal to $15 per yard × # of yards.

To know more about cost visit:

brainly.com/question/25109150

#SPJ1

Answer:

1 American pt equals approximately 568.261 mL

OR

1 British Imperial pt is approximately 473 mL

I recommend choosing the answer that better relates to where you are from.

Step-by-step explanation:

There seem to be TWO kinds of pint sizes. A US pint is 16 ounces and an Imperial pint is 20 ounces.

We may conclude after answering the presented question that None of the given quotient equations are true.

What is an equation?

A formula is a statement that two expressions are equal. An equation consists of two sides separated by an algebraic equation (=).  

For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the number "9."

The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements.

[tex]x^2 + 2x - 3 = 0.[/tex] Lines are utilized in many different areas of mathematics, such as algebra, calculus, and geometry.

None of the given quotients are true.

A. 1/2 ÷ 2 = 1/4, not 4.

B. 1/3 ÷ 4 = 1/12, not 4/3.

C. 1/2 ÷ 6 = 1/12, not 1/6.

D. 1/5 ÷ 2 = 1/10, not 10.

E. 1/8 ÷ 3 = 1/24, not 1/3.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

The average rate of change representing the state whose temperature is decreasing slower is given as follows:

-1.5ºF/day.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

For Maine, in 9 days, the temperature fell by 13.5ºF, hence the rate is given as follows:

-13.5/9 = -1.5ºF/day.

For Connecticut, in 2.5 days, the temperature fell by 6.25ºF, hence the rate is given as follows:

-6.25/2.5 = -2.25 ºF/day.

A slower decline is in Maine, as it has a lower rate of change.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

The ship that can last forever for the given parallelogram is REHIFSDPI.

A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighbouring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Hence, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.

The letter corresponding to each answer is:

1. congruent - R

2. parallelogram - E

3. pair - N

4. Bisect - H

5. sometimes - I

6. Sum of angles of parallelogram is 360, also opposite angles are equal, thus,

72 + 72 + 2x = 360

x = 108 - F

7. Sum of angles of parallelogram is 360, also opposite angles are equal, thus,

89 + 89 + x + x = 360

178 + 2x = 360

x= 91 - S

8. Diagonals of parallelogram bisect each other CO = 16. - D

9. Opposite sides of parallelogram are congruent thus,

4x + 2 = 5x - 3

x = 5 - P

10. Opposite sides are equal,

2x + 1 = x + 8

x = 7 - I

Hence, the ship that can last forever for the given parallelogram is REHIFSDPI.

Learn more about parallelogram here:

https://brainly.com/question/19187448

#SPJ1

You could try factoring.

[tex]6x^2-x-1=(2x-1)(3x+1)\\3x^2+25x+8=(x+8)(3x+1)\\x^2+4x-32=(x+8)(x-4)\\2x^2+7x-4=(x+4)(2x-1)[/tex]

So your expression becomes...[tex]\frac{(2x-1)(3x+1)}{(x+8)(3x+1)}*\frac{(x+8)(x-4)}{(x+4)(2x-1)}=\frac{x-4}{x+4}[/tex].

Answer:forgot the explanation

Step-by-step explanation: give me a equation to solve

Answer:

Dan eat 2 2/3 of a pizza

Step-by-step explanation:

the answer is above

Let

x-----> amount of pizza Jay ate

y-----> amount of pizza Dan ate

we know that

----> equation A

-----> equation B

substitute equation A in the equation B and solve for y

Convert to mixed number

Answer:

The Gordon's should buy TV2

Step-by-step explanation:

To determine which TV the Gordons should buy, we need to compare the total cost of each TV over the 8-year period. Let's define some variables:

- Let x be the number of years the TV is used.

- Let y1 be the total cost of TV 1 over x years.

- Let y2 be the total cost of TV 2 over x years.

- Let P1 be the purchase price of TV 1.

- Let P2 be the purchase price of TV 2.

- Let O1 be the annual operating cost of TV 1.

- Let O2 be the annual operating cost of TV 2.

Using these variables, we can write the following equations:

y1 = P1 + x * O1

y2 = P2 + x * O2

To compare the total cost of each TV over 8 years, we need to find y1 and y2 when x = 8. Plugging in the given values, we get:

y1 = 330 + 8 * 14 = 462

y2 = 369 + 8 * 9 = 441

Therefore, the total cost of TV 1 over 8 years is $462, and the total cost of TV 2 over 8 years is $441. Since TV 2 has the lower total cost, the Gordons should buy TV 2.

From a mathematical standpoint, we can also use rational functions to analyze this problem. The total cost of each TV is a linear function of x, so we can write:

y1(x) = P1 + x * O1

y2(x) = P2 + x * O2

The ratio of these functions is:

y1(x) / y2(x) = (P1 + x * O1) / (P2 + x * O2)

To determine which TV is cheaper over 8 years, we need to compare the ratios when x = 8:

y1(8) / y2(8) = (330 + 8 * 14) / (369 + 8 * 9) ≈ 1.051

Since this ratio is greater than 1, TV 1 is more expensive than TV 2 over 8 years. Therefore, the Gordons should buy TV 2.

Answer:

1. is 10

2. is 4

3. is 2

?= is 2

A triangle must have a third side that is bigger than the sum of any two of its sides. There cannot be a triangle with these side lengths because in this instance, 5 + 15 = 20 is not greater than 250.

To check whether the given lengths can form the sides of a right triangle, we need to check if they satisfy the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Let's label the sides of the triangle as a, b, and c, where c is the hypotenuse. Then, the Pythagorean theorem can be written as:

a^2 + b^2 = c^2

Plugging in the given values, we get:

5^2 + 15^2 = (√250)^2

Simplifying the left-hand side, we get:

25 + 225 = 250

This is not true, since 25 + 225 = 250 does not hold. Therefore, the given lengths cannot form the sides of a right triangle.

In fact, we can see that the given lengths violate the triangle inequality, which states that the sum of any two sides of a triangle must be greater than the third side. In this case, 5 + 15 = 20 is not greater than √250, so a triangle with these side lengths cannot exist.

Learn more on Pythagoras theorem here: https://brainly.com/question/231802

#SPJ1

One solution: (6,2)

Systems of equations are a set of equations that share variables.

Number of Solutions

There are multiple ways to find the number of solutions to a system of equations. Firstly, if 2 lines are parallel, then there will never be a point that satisfies both equations. This means that there will be no solutions. If 2 equations create the same line, then there will be infinitely solutions. Lastly, if there are 2 linear lines that are not parallel or the same, then they will have exactly one solution.

Solving Systems of Equation

The solution to a system of equations is the point that makes both equations true. When looking at a graph, the solution to a system of equations will be where the lines intersect. In this question, the lines intersect at (6,2). This means the solution to the system of equations is (6,2).

Answer:4

Step-by-step explanation:4