Solve following proportion. w/6.4v = 1/2

Answer:

Step-by-step explanation:

4/(8/9)-(1/2)=4

Answer:

6x - 2(x - 3) and x + 3(x - 2) - 6

The two expresaions that are quivalent are 6x - 2(x - 3) and x + 3(x - 2) - 6.

Step-by-step explanation:

First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.

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In rectangles P and Q, where the area of rectangle Q is 10% less than the area of rectangle P, we have the ratio of x:y = 25:18.

The area of a rectangle is the product of its length and its width.

In the question, we are given two rectangles:-

Rectangle P:

length = 40 cm,

width = x cm,

Thus, the area = length * width = 40x.

Rectangle Q:

length = 25% more than the length of P = 40 + 25% of 40 = 40 + 0.25*40 = 40 + 10 = 50 cm.

width = y cm,

Thus, the area = length * width = 50y.

Now, we are given that, the area of rectangle Q is 10% less than the area of rectangle P.

Thus, we can write that,

Area of rectangle Q = Area of rectangle P - 10% of the area of rectangle P,

or, 50y = 40x - 10% of 40x,

or, 50y = 40x - 0.10*40x,

or, 50y = 40x - 4x,

or, 50y = 36x,

or, y = 36x/50.

We are asked to find the ratio of x:y = x/y.

Substituting y = 36x/50, we get,

x/y = x/(36x/50) = 50x/36x = 25/18.

Thus, the ratio x:y = 25:18.

Thus, in rectangles P and Q, where the area of rectangle Q is 10% less than the area of rectangle P, we have the ratio of x:y = 25:18.

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Answer:

path =2m

Step-by-step explanation:

Answer:

I believe the answer should be 2m

Answer:

correct the answer is 7\(\frac{1}{2}\)

Step-by-step explanation:

The required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

Given that,
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches, how much flour does Nate need to make his cookies is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Amount of floor for each batch of cookie = 2 1/4
Total floor required to bake 3 1/3 batches = 9 / 4 × 10 / 3 = 7 1 / 2

Thus, the required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

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Answer:

Always

Step-by-step explanation:

Every square is a closed figure, and every square has 4 straight sides, so every square is a quadrilateral.

Answer:

The answer is ALWAYS

Answer:

Option (A) and Option (E)

Step-by-step explanation:

Length of a segment between two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,

Length = \(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)

Length of the segment between J(-8, 1) and K(-5, 5) will be,

JK = \(\sqrt{(-8+5)^2+(1-5)^2}\)

JK = \(\sqrt{9+16}\)

JK = 5 units

Length of segment between the points P(2, 8) and Q(7, 3) will be,

PQ = \(\sqrt{(2-7)^2+(8-3)^2}\)

PQ = \(\sqrt{25+25}\)

PQ = \(5\sqrt{2}\) units

Length of segment between the points S(-3, -10) and T(3, -2) will be,

ST = \(\sqrt{(-3-3)^2+(-10+2)^2}\)

ST = \(\sqrt{36+64}\)

ST = 10 units

Therefore, Option (A) and Option (E) are the correct options.

Answer:

(1.5 , -0.5)

Step-by-step explanation:

formula:

x_midpoint=(x1+x2)/2

y_midpoint=(y1+y2)/2

y coordinate: (-1 +4)/2

x coordinate: (-6+5)/2

Answer: The slope is 9.

Step-by-step explanation:

(y2 - y1)/(x2 - x1)

(-10 - -1)/(2 - 3)

-9/-1

9

The perimeter of the triangle is (30+x) cm

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Perimeter is the distance around the edge of a shape.

To find the perimeter of a triangle , we add all the sides together.

Two sides are 22 cm and 8cm

Represent the other sides of the triangle by x

therefore the perimeter will be calculated as:

22+8+x

P = (30+x)cm

therefore the perimeter of the triangle is( 30+x)cm for any value of x

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Answer:

90%

Step-by-step explanation:

1 = 10%

10 - 1 = 9

9 x 10 = 90

=90%

Answer:

3/6

Step-by-step explanation:

there are 3 possibilities to pick white shirts

Answer:

y = -4x + 3

Step-by-step explanation:

m = slop

b = y-int

y = mx + b

Answer:

Question 1) 6x+5

Question 2) Blank #1: sum. Blank #2: 5. Blank #3: 4

See work in the attachment. If you're still confused, read the step-by-step explanation for a more in-depth explanation of what exactly I did for my work. Let me know if you have any questions :>

Step-by-step explanation:

For question 1, it's important to know that the perimeter is equal to the sum of all the sides. Since the shape is a rectangle, the sides opposite of each other are the same length. Thus, the left and right sides are both 3x - 3. 2(3x - 3) = 6x - 6. The unknown value, which I called a, is the same for both the top and the bottom. To find it, you must first subtract 6x - 6 from the perimeter of 18x + 4. This equals 12x + 10. Then, divide that answer by 2 to get the unknown side. You then get 6x + 5 as the answer for the unknown side.

To make sure it's correct, you can plug in a random number for x. In this case, I checked my work by plugging 2 in for x.

Perimeter = 18(2) + 4 = 36 + 4 = 40

Perimeter = 6(2) + 5 + 6(2) + 5 + 3(2) - 3 + 3(2) - 3 = 12 + 5 + 12 + 5 + 6 - 3 + 6 - 3 = 24 + 10 + 12 - 6 = 40

For question 2, the main idea you need to know is that A = lw. The area of the first rectangle is 6 * 5 = 30. The area of the second rectangle is 6 * 4 = 24. When you add them together, you get 54. The area of the rectangle that is formed when you combine rectangle 1 and rectangle 2 is 6 * 9 = 54. This shows that 6(4) + 6(5) = 6(9)

When describing the central tendency for qualitative data, the measure that is commonly used is the mode.

Unlike quantitative data, where measures such as the mean or median can be used to describe central tendency, qualitative data consists of categories or labels rather than numerical values.

Therefore, the mode is the most appropriate measure for central tendency in this context.

The mode can be useful in summarizing qualitative data by identifying the most common category or response. It provides insight into the most prevalent characteristic or attribute among the data, allowing for a better understanding of the distribution and patterns within the dataset.


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Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

Therefore, the solution of the given IVP using Laplace transform is: y(t) = -e^(3t) + t e^(3t) + (t^2/2) e^(3t) u(t-3)

Taking the Laplace transform of both sides of the differential equation, we have:

L[y''(t)] - 6L[y'(t)] + 9L[y(t)] = L[e^(3t)u(t-3)]

Using the derivative property of the Laplace transform, we have:

s^2 Y(s) - s y(0) - y'(0) - 6[s Y(s) - y(0)] + 9Y(s) = e^(3t) / (s - 3)

Substituting y(0) = 0 and y'(0) = 0, we get:

s^2 Y(s) - 6s Y(s) + 9Y(s) = e^(3t) / (s - 3)

Simplifying, we get:

Y(s) = [e^(3t) / (s - 3)] / (s - 3)^2

Using partial fraction decomposition, we can write:

Y(s) = -1/(s-3) + 1/(s-3)^2 + 1/(s-3)^3

Taking the inverse Laplace transform of both sides, we get:

y(t) = -e^(3t) + t e^(3t) + (t^2/2) e^(3t) u(t-3)

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The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Answer:

Vertex is (-1/4, -81/8)

Step-by-step explanation:

Does that help any?

Answer:

When x = 2, f(x) = 63.

Step-by-step explanation:

In order to find the value of f(x), you have to substitute x = 2 into the function :

\(f(x) = - 3 {x}^{2} + 180x - 285\)

\(f(2) = - 3{(2)}^{2} + 180(2) - 285\)

\(f(2) = - 12 + 360 - 285\)

\(f(2) = 63\)

The relative wind speed will the person sense is -5.2mph.

Speed can be explained as the  distance traveled per unit of time which is how the object is moving, and it is a  scalar quantity  having magnitude of the velocity vector.

Speed of man  =2.95 mph

Speed of wind  =-2.25 mph

Relative wind speed V_R is mathematically given directly as

Vr= Vw-Vm

=-2.25 mph -2.95 mph

= -5.2mph

Therefore, relative wind speed will the person sense is -5.2mph.

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The Fees Receivable average account is used to record amounts due from Wilson Company for services provided by Tsang Company.

The Fees Receivable account is used to track amounts due from Wilson Company to Tsang Company for services that have been provided but not yet invoiced. The account is created when Tsang Company begins a contract to provide services to Wilson Company for six months at a total cost of $21,600. This amount is paid at the end of the six-month period, with equal services being provided each month. The Fees Receivable account is used to record the amount due each month, with the total balance of the account being equal to the total cost of the services provided. It is important to keep track of amounts due from customers so that the business can accurately track its accounts receivable and ensure that it is receiving payment for the services it has provided.

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The height of the new pasta box designed by Kevin is 9 in and the area of the base is 9 in². Kevin’s boss has said that there must be at least 2 in of space between the top of the pasta and the top of the box. Will the pasta fit in the new box with enough space at the top.

Kevin's boss has indicated that there should be at least 2 inches of space between the top of the pasta and the top of the box. This indicates that the maximum capacity of the box will be reduced by this amount.The volume of the pasta box can be calculated as the product of the height and the area of the base. Here's how:Volume of the box = Height × Area of the base Given that the height of the box is 9 inches and the area of the base is 9 square inches.

Thus, the volume of the box is:V = Height × Area of the baseV = 9 × 9V = 81 cubic inchesHowever, the boss has said that at least 2 inches of space must be left between the top of the pasta and the top of the box. This implies that the pasta must occupy a volume that is less than or equal to 81 − 2 = 79 cubic inches.Therefore, the pasta will fit into the new box with enough space at the top since 79 cubic inches are greater than or equal to the volume of pasta in the box.

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The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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If the scale factor of figure A to figure B is 3:8, the value of x is 9.

We are given Figure A and Figure B, along with their respective scale factors. To solve the problem, we must utilize the proportion rule. The ratio of the two figures is 3:8, so we can write the equation for proportion as follows -

3/8 = x/24

Applying the cross-multiplication rule, we get,

3 * 24 = 8 * x

Further solving for the value of x, we get,

x = (3 * 24) / 8

x = 9

Hence, the value of x is 9.

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The complete question is -

If the scale factor of figure A to figure B is 3:8 find the value of x.

Answer:

x=6.5

Step-by-step explanation:

7(x-2)=3(x+4)

Step 1. Distribute

7x-14=3x+12

Step 2. Combine like terms and calculate

4x=12+14

Step 3. Divide 4 on both sides

4x=26

Solution:

x=6.5

Hope this helps! :)

The balance of the account will be approximately $1061 at the end of the third year with a principal amount of $1000 at an annual interest rate of 2%.

So, the correct option is d) $1061.

Given, Principal amount, P = $1000

Interest rate, R = 2%

Time, T = 3 years

The formula to calculate simple interest is,Simple Interest = (P × R × T) / 100

Putting the values in the above formula, we get Simple Interest = (1000 × 2 × 3) / 100 = 60

Amount = Principal + Simple Interest

Amount = $1000 + $60 = $1060

So, the balance of the account will be approximately $1061 at the end of the third year (rounded off to the nearest dollar).

A recession causes a reduction in consumer spending. This reduces the profits made by many producers, causing the value of their stock to decline. This is an example of industry risk in the stock market.Industry risk refers to the risks associated with the performance of an industry in the stock market. These risks arise from factors that are specific to the industry of a company or a group of companies. These risks cannot be diversified away and they affect all companies operating in a specific industry sector. Thus, a recession causing a reduction in consumer spending is an example of industry risk in the stock market. Hence, the correct option is c) industry risk.

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