Hey, guys! How is your day? (°ω°)
Wilson paints 40% of a bookcase in 20 minutes.

Write an equation using equal fractions to represent this situation. Use a box to represent the time it takes to paint the whole bookcase.

Answer: less than-7

Step-by-step explanation:

Jon spend 56 minutes in reading

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Jon spent 1 hour 17 minutes less than Camden

Camden spent 47 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Camaden spent

= 3 hours or (180 minutes) - 47 minutes

= 2 hours 13 minutes.

Now, Jon spent = 2 hrs 13 minutes - 1 hour 17 minutes

                         = 56 minutes

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ1

The correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

When a chocolate bar is cut in half, its density remains unchanged. Density is a physical property of a substance that is determined by its mass per unit volume. When the chocolate bar is cut in half, the mass is also divided into two equal parts, resulting in a reduction of the volume by half as well. Since both the numerator and denominator in the density formula change proportionally, the density remains the same.

For example, if the density of a chocolate bar is 1 gram per cubic centimeter, cutting it in half would result in two smaller bars, each with half the volume and half the mass. The density of each of the new bars would still be 1 gram per cubic centimeter, even though they are smaller in size.

Therefore, the correct answer is b) unchanged. Cutting a chocolate bar in half does not affect its density.

Learn more about density here:

https://brainly.com/question/6107689

#SPJ11

Answer:

\(d=10.8\)

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d=\sqrt{(6-(-3))^2+(-3-3)^2}\)

\(d=\sqrt{(6+3)^2+(-6)^2}\)

\(d=\sqrt{(9)^2+36}\)

\(d=\sqrt{81+36}\)

\(d=\sqrt{117}\)

\(d=3\sqrt{13}\)

\(d=10.8167\)

\(d=10.8\)

Answer:

Step-by-step explanation:

Given:

Find the value of the expression:

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

Step-by-step explanation:

He gets a new job and it pays him $60k each year.

Amount per year: 60,000

He gets a raise of $5k

Amount per year: 65,000

After 5 years of working there you times 5 by your amount you get per year.

5 x 65,000 = 325,000

Therefore you get...

$325k every five years

To know how much it is in ten years multiply 325k by 2

325,000 x 2 = 650,000

Salary after 5 years: 325,000

Salary after 10 years: 650,000

<3 Enjoy,

    Dea

Answer:

No.

In a right triangle one of the angles is right angle i.e 90° and, therefore, sum of other two angles will always be equal to 90°, which means the other two angles will be acute angles

Answer:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Step-by-step explanation:

The number 540 has the following divisors

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Therefore, the number 540 is not a prime number or a deficient number

A deficient number is one that is larger than the sum total of its possible dividing numbers less the number 540 itself that is we have;

1+ 2+ 3+ 4+ 5+ 6+ 9+ 10+ 12+ 15+ 18+ 20+ 27+ 30+ 36+ 45+ 54+ 60+ 90+ 108+ 135+ 180+ 270 = 1140.

Answer:

\(540 = 3 ^{3} \times 2 {}^{2} \times 5\)

so, it is 4*3*2= 24

Answer:

x = 9

Step-by-step explanation:

set a proportion: 8/12 = 6/x => 8x = 72 => x = 9

The statement "(X, T) is Hausdorff but not connected" is false. In the given set X = {1, 2, 3, 4, 5} and the topology T defined as T = {∅, X, {1}, {1, 4}, {1, 5}, {1, 4, 5}}, it can be observed that X with this topology is not Hausdorff.  

This is because there exist points in X that cannot be separated by disjoint open sets. For example, the points 4 and 5 cannot be separated by disjoint open sets since any open set containing 4 also contains 5, and vice versa.

Furthermore, X with the given topology T is also not connected. It can be partitioned into two non-empty disjoint open sets, namely {1} and {2, 3, 4, 5}, which demonstrates that X is not a connected space.

Therefore, the correct statement is neither "(X, T) is Hausdorff but not connected" nor "(X, T) is connected and Hausdorff"

To know more about Hausdorff click here: brainly.com/question/32507676

#SPJ11

Answer:

I think the constraint of proportionality is 25 because each dot it increases buy 25.

I also believe that at 10 the total should be at 225.

Answer:

Step-by-step explanation:

You already have the area for your triangle. Substract that from the entire area of the rectangle.

To get the area of the rectangle, multiply the length by the height.

15*20 = 300

Now substract your triangle from that :)

A conclusion about the value of a population parameter based on information from the corresponding sample statistics and the associated the associated probability distributions.

Statistical inference is the process of making conclusions or inferences about the characteristics of a population based on information obtained from a sample.

It involves using statistical techniques to draw generalizations or estimates about population parameters using sample data.

A conclusion about the value of a population parameter based on information from the corresponding sample statistics and the associated the associated probability distributions.

Statistical inference involves two main components:

1. Estimation: Estimation involves using sample data to estimate or approximate the value of a population parameter.

2. Hypothesis Testing: Hypothesis testing is used to make decisions or draw conclusions about the population based on sample data.

Learn more about Statistical inference on:

https://brainly.com/question/29843489

#SPJ4

Answer:

y= -1/3x-7

Step-by-step explanation:

Answer:

10/15, or 2/3

Step-by-step explanation:

To get common denominator multiply 2/5 by three: 6/15

4/15 + 6/15 = 10/15

divide by 5: 2/3

Hey there!

4/15 + 2/5

≈ 4/15 + 6/15

≈ 4 + 6 / 15 - 0

≈ 10 / 15

≈ 10 ÷ 5 / 15 ÷ 5

≈ 2/3

Therefore, your answer is: 2/3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

A) y = -1/2x + 2

Step-by-step explanation:

The line is negative, so you will have a negative slope

The line is crossing the y- axis at 2 so the y- intercept is 2.

Now do rise over run or rise/run

The lines rise is 2 and the run is 4

2/4 = 1/2 and since the line is negative the slope is negative -1/2

y = -1/2x + 2

Hope this helps ya!!

airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

What is a case?

In statistics, the word case is used to refer to the individual from which data is collected. For example, in a study about students' performance, the cases are each of the students.

What is the case in this situation?

Considering the administrators will need to weight and record each bag, the cases are each piece of baggage.

A. Number of bags weighing more than 75 pounds.

B. Average weight of the bags.

C. Each piece of baggage.

D. The airport administrators.

Hence airport administrators take a sample of airline baggage and record the number of bags that weigh more than 75 pounds. then In this situation of statistics , individual is the cases are the bags or each piece of baggage.

Learn more about statistics in

brainly.com/question/8058700

#SPJ4

A) we would send Order A to Factory 3.

B) we would send both Order B and Order C to Factory 3.

B 7,000 Factory 3

C 30,000 Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

To make decisions about which factory to send the orders to on Monday and Tuesday, we need to compare the costs per unit for each factory and consider the total number of units to be produced. Let's go through each day's scenario and make the production decisions.

a) Monday: Order A for 15,000 units

To decide which factory to send the order to, we compare the costs per unit for each factory. We select the factory with the lowest cost per unit to minimize the average cost per unit for the company.

Let's assume the costs per unit for each factory are as follows:

Factory 1: $10 per unit

Factory 2: $12 per unit

Factory 3: $9 per unit

To calculate the total cost for each factory, we multiply the cost per unit by the number of units:

Factory 1: $10 * 15,000 = $150,000

Factory 2: $12 * 15,000 = $180,000

Factory 3: $9 * 15,000 = $135,000

Based on the calculations, Factory 3 has the lowest total cost for producing 15,000 units, with a total cost of $135,000. Therefore, we would send Order A to Factory 3.

b) Tuesday: Order B for 7,000 units and Order C for 30,000 units

We have two options: sending each order to a separate factory or sending both orders to the same factory. We need to compare the average cost per unit for each option and select the one that results in the lowest average cost per unit.

Let's assume the costs per unit for each factory remain the same as in the previous example. We will calculate the average cost per unit for each option:

Option 1: Sending orders to separate factories

For Order B (7,000 units):

Average cost per unit = ($10 * 7,000) / 7,000 = $10

For Order C (30,000 units):

Average cost per unit = ($9 * 30,000) / 30,000 = $9

Total number of units produced for the company today = 7,000 + 30,000 = 37,000

Average cost per unit for all production today = ($10 * 7,000 + $9 * 30,000) / 37,000 = $9.43 (rounded to two decimal places)

Option 2: Sending both orders to the same factory (Factory 3)

For Orders B and C (37,000 units):

Average cost per unit = ($9 * 37,000) / 37,000 = $9

Comparing the two options, we see that both options have the same average cost per unit of $9. However, sending both orders to Factory 3 simplifies the production process by consolidating the orders in one factory. Therefore, we would send both Order B and Order C to Factory 3.

Production Report for Tuesday:

Order # of Units Factory

B   7,000      Factory 3

C  30,000    Factory 3

Total number of units produced for the company today: 37,000

Average cost per unit for all production today: $9.00

for more such question on production visit

https://brainly.com/question/31135471

#SPJ8

Given: Triangle ABC and its image A’B’C’ by dilation DO,2.5 To Prove: The dilation takes a line passing through the center of the dilation to the same line.Construction: Join AA’ and BB’.Proof:In ΔAOA’ and ΔBOB’, we have:∠OAB = ∠OBA’ (Vertically Opposite Angles)OA = 2.5 OA’ (Given)OB = 2.5 OB’ (Given)

Therefore, by AA similarity criterion, we getΔAOA’ ~ ΔBOB’ ………. (1)Also, it is given that the dilation center O lies on line AB. Therefore, OA = OB .Hence, ΔAOA’ and ΔBOB’ are congruent triangles.

(By SAS congruency criterion)Therefore, we have ∠AOA’ = ∠BOB’…………. (2)Now, in ΔAOA’ and ΔA’OB’, we have:∠A’OA = ∠BOA’ = 90° (Definition of Perpendicular lines)AO = 2.5 OA’ (Given)

BO = 2.5 OB’ (Given)Therefore, by AA similarity criterion, we getΔAOA’ ~ ΔA’OB’ ………. (3)Also, it is given that the dilation center O lies on line AB. Therefore, OA = OB

Hence, ΔAOA’ and ΔA’OB’ are congruent triangles. (By SAS congruency criterion)Therefore, we have ∠AOA’ = ∠A’OB…………. (4)From equations (2) and (4), we get∠BOB’ = ∠A’OB’ ………… (5)

Now, from equations (3) and (5), we get that line passing through center O will map to the same line under the given dilation.Thus, it is proved that the dilation takes a line passing through the center of the dilation to the same line.

For more question on Triangle

https://brainly.com/question/17335144

#SPJ8

Answer:

Please refer to the attachment

Hope it helps

Please mark me as the brainliest

Thank you

This is the answer to the question

Since x represents a length, we reject the negative solution. Therefore, the value of x is approximately 4.88 inches.

In math, an equation is a statement that shows the equality between two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), that are separated by an equals sign (=). For example, the equation 3x + 5 = 14 is an algebraic equation that states that the sum of three times a number x and five is equal to fourteen. Equations can have different types of expressions, including numbers, variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and more. Solving an equation involves finding the value of the variable that makes the equation true.

Here,

To find the value of x, we need to first determine the dimensions of the entire ad.

Let A be the area of the entire ad, and let P be the area of the photo. We are given that P = (1/2)A. We are also given that the dimensions of the photo are 7 inches by 9 inches, so P = 7 * 9 = 63 square inches.

Substituting P = 63 and P = (1/2)A into the equation P = (1/2)A, we get:

63 = (1/2)A

Multiplying both sides by 2, we get:

126 = A

So the area of the entire ad is 126 square inches.

Next, we need to find the dimensions of the entire ad. Let the length be L and the width be W. We know that L * W = 126. We are also given that the length of the photo is 7 inches, so L = 2x + 7.

Substituting L = 2x + 7 into the equation L * W = 126, we get:

(2x + 7) * W = 126

Dividing both sides by 2x + 7, we get:

W = 126 / (2x + 7)

We know that the width of the photo is 9 inches, so:

W - 9 = x

Substituting the expression for W from above, we get:

126 / (2x + 7) - 9 = x

Multiplying both sides by 2x + 7, we get:

126 - 9(2x + 7) = x(2x + 7)

Simplifying, we get:

93 = 2x² + 7x

2x² + 7x - 93 = 0

Using the quadratic formula, we get:

x ≈ 4.88, x ≈ -9.58

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Answer:

90 hope this helps~!

Step-by-step explanation:

Answer:theres no q

Step-by-step explanation:

Probability P(D and C) is (C) 1/2.

To find the probability P(D and C):

According to the task content;

On this note, the probability, P(D and C) is given as;

Therefore, probability P(D and C) is (C) 1/2.

Know more about probability here:

https://brainly.com/question/25870256

#SPJ4

The correct question is given below:
300 students in a high school freshman class are surveyed about what kinds of pets they have. Of the 300 students, 200 have a dog, 180 have a cat, and 150 have a cat and a dog. Using this information, answer each of the following questions.

Let D be the event that a randomly selected student has a dog and C be the event that a randomly selected student has a cat.

What is P(D and C), the probability that a student in the class has a dog and a cat?

A) 2/3

B) 3/5

C) 1/2

D) 5/6

Answer:

6 1/2

Step-by-step explanation:

Answer:6 1/2

Step-by-step explanation: do the math search it up

Answer:

they're not

Step-by-step explanation:

when you distribute the 2 into (x-3) you get 2x-6

and thats not equivalent to 2x-3  

Answer:

  540x⁴

Step-by-step explanation:

You want the 3rd term of the expansion of (x +6)⁶.

The k-th term of (a +b)^n is ...

   C(n, k)a^(n-k)b^k

where terms are numbered 0 to n.

The third term of (x+6)⁶ is the above expression with k=2:

  C(6, 2)a⁴b²

Where a=x and b=6, this is ...

  15x⁴6² = 540x⁴

__

Additional comment

C(n, k) is the function that represents the number of combinations of n things taken k at a time:

  C(n, k) = n!/(k!(n-k)!)

  C(6, 2) = 6!/(2!·4!) = 6·5/(2·1) = 15