3 times a number w is less than 18

The amount of coverage that you will have on the contents of your home would be = $68,750

The total amount of money that was insured for the house = $125,000

The percentage of insurance that was left for the contents of the house = 55% of insurance.

That is;

= 55/100 × $125,000

= 6875000/100

= $68,750.

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Answer:

31,250 meters

Step-by-step explanation:

The computation of the distance covered in meters is shown below

As we know that

Speed = Distance ÷ time

where,

Speed is 125 km/hr

And, the time is 15 minutes

so, the distance is

= 125 km / hr × 15 minutes

After converting into meters per second

= 31,250 meters

1. Time taken to fill one community pool is 2hours 24 minutes.

2. Time taken to audit 30 files is 4 hours 41 minutes.

3. The time taken to erect is 54/7 hours or 7 hours 43 minutes

Time and work is a branch of mathematics that deals with the calculation of the amount of time required to complete a job or task by a worker or a group of workers working at a certain rate.

1. Job: Fill one community pool       Rate        Time         Work Completed

  Reserve water tower                     1/6            x                  x/6

  City water pipes                             1/4            x                  x/4

Solution: Fill one community pool;   \(\frac{x}{6} + \frac{x}{4} = 1\)

Simplify, x = 12/5 hours or 2hours 24 minutes

Time taken to fill one community pool is 2hours 24 minutes.

2. Job: Work together       Rate        Time         Work Completed

  Mr. Dupree                       12/5           x                  12x/5

  Ms. Carmichael                16/4           x                  16x/4

Solution: If they work together, time taken to audit one file is

\(\frac{12x}{5} + \frac{16x}{4} = 1\)

Simplify, x = 5/32 hours

So, time taken to audit 30 file, (5/32)×30 = 75/16 hours or 4 hours 41 minutes

Time taken to audit 30 files is 4 hours 41 minutes.

3. Job: Work together            Rate         Time         Work Completed

  Macon Construction           100/8           x                100x/8

  Thomson Masonry              200/12        x                 200x/12

Solution: If they work together, time taken to complete a work

\(\frac{100x}{8} + \frac{200x}{12} = 1\)

Simplify, x = 6/175

Macon Construction 2 hours before so,

remaining work = 250 - (100×2hour/8) = 225 feet

then, the time taken to erect 225 feet rock facing by together is

6/175 × 225 = 54/7 hours or 7 hours 43 minutes

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1. Time taken to fill one community pool is 2hours 24 minutes. 2. Time taken to audit 30 files is 4 hours 41 minutes. and 3. The time taken to erect is 54/7 hours or 7 hours 43 minutes.

An audit is an independent review of financial statements and related documents in order to confirm their accuracy and compliance with relevant regulations.

1. Job: Fill one community pool       Rate        Time         Work Completed
 Reserve water tower                     1/6            x                  x/6
 City water pipes                             1/4            x                  x/4
Solution: Fill one community pool;  
Simplify, x = 12/5 hours or 2hours 24 minutes
Time taken to fill one community pool is 2hours 24 minutes.

2. Job: Work together       Rate        Time         Work Completed
 Mr. Dupree                       12/5           x                  12x/5
 Ms. Carmichael                16/4           x                  16x/4
Solution: If they work together, time taken to audit one file is
Simplify, x = 5/32 hours
So, time taken to audit 30 file, (5/32)×30 = 75/16 hours or 4 hours 41 minutes
Time taken to audit 30 files is 4 hours 41 minutes.

3. Job: Work together            Rate         Time         Work Completed
 Macon Construction           100/8           x                100x/8
 Thomson Masonry              200/12        x                 200x/12
Solution: If they work together, time taken to complete a work
Simplify, x = 6/175
Macon Construction 2 hours before so,
remaining work = 250 - (100×2hour/8) = 225 feet
then, the time taken to erect 225 feet rock facing by together is
6/175 × 225 = 54/7 hours or 7 hours 43 minutes

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Answer:

----------------------------

Divide the total amount by the cost per piece:

Since the carpenter can only buy whole pieces of wood, they can buy 30 pieces.

We are given the following equation :

\({:\implies \quad \sf P=2L+2w}\)

And we need to solve for w, so let's start :

\({:\implies \quad \sf P=2L+2w}\)

Now, transpose 2L to LHS ;

\({:\implies \quad \sf P-2L=2w}\)

\({:\implies \quad \sf 2w=P-2L}\)

\({:\implies \quad \boxed{\bf{w=\dfrac{(P-2L)}{2}}}}\)

Hence, Option a) is correct

Answer:

\(\bar x =2.53\) -- Mean

\(Median= 2\)

\(Mode = 2\)

\(Range = 8\)

\(Q_1 = 1\)

\(Q_3 = 3\)

\(IQR = 2\)

Step-by-step explanation:

Given

n = 30

Data: 2 3 1 2 6 4 2 1 5 3 2 3 1 2 2 1 3 1 2 2 4 2 1 2 9 3 2 1 1 3

Solving (a): The mean

This is calculated as:

\(\bar x =\frac{\sum x}{n}\)

\(\bar x =\frac{2 +3 +1 +2 +6 +4 +2 +1 +5 +3 +2 +3+ 1+ 2 +2 +1 +3 +1 +2 +2 +4 +2 +1 +2 +9 +3 +2 +1 +1 +3}{30}\)

\(\bar x =\frac{76}{30}\)

\(\bar x =2.53\)

Solving (b): The median

First arrange the given data

Arranged: 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 9

\(Median =\frac{1}{2}(n+1)\)

\(Median =\frac{1}{2}(30+1)\)

\(Median =\frac{1}{2}(31)\)

\(Median = 15.5th\)

This implies that the median is the average of the 15th and 16th item

\(Median = \frac{2+2}{2}\)

\(Median = \frac{4}{2}\)

\(Median= 2\)

Solving (c): The mode

From the given data; 2 has the highest frequency of 11.

So,

\(Mode = 2\)

Solving (d): The Range

\(Range = Highest\ Data - Lowest\ Data\)

The highest is 9 and the lowest is 1,

So:

\(Range = 9 - 1\)

\(Range = 8\)

Solving (e): Lower (Q1) and Upper (Q3) quartile.

Q1 is calculated as:

\(Q_1 = \frac{1}{4}(n+1)th\)

\(Q_1 = \frac{1}{4}(30+1)th\)

\(Q_1 = \frac{1}{4}(31)th\)

\(Q_1 = 7.75th\)

\(Q_1 = 8th\ item\)

\(Q_1 = 1\) -- from the arranged data

Q3 is calculated as:

\(Q_3 = \frac{3}{4}(n+1)th\)

\(Q_3 = \frac{3}{4}(30+1)th\)

\(Q_3 = \frac{3}{4}(31)th\)

\(Q_3 = 23.25th\)

\(Q_3 = 23rd\ item\)

\(Q_3 = 3\) -- from the arranged data

Solving (f): The interquartile range (IQR)

\(IQR = Q_3 - Q_1\)

\(IQR = 3-1\)

\(IQR = 2\)

Answer:

Step-by-step explanation:

There are 3 fish and you add f, the sum should be less than 5.

This is shown as:

Answer:

A) 5k

Step-by-step explanation:

anything near a number like that is usually times. Like 7g would be 7xg!

Answer:

25 hours

Step-by-step explanation:

119.5 yards divided by 4.78 yards per hour = 25 hours

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

The measure of length of YZ is 12.42 meters and the measure of XY is 20.87 meters.

Law of Sines In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

7) In triangle XYZ, XZ=29 meters, ∠X=22° and ∠Z=39°

By angle sum property, we get

∠X+∠Y+∠Z=180°

22°+∠Y+39°=180°

∠Y+61°=180°

∠Y=119°

Using sine rule, we get

sin22°/YZ=sin119°/XZ=sin39°/XY

sin22°/YZ=sin119°/29

0.3746/YZ=0.8746/29

0.3746×29=0.8746×YZ

YZ=10.8634/0.8746

YZ=12.42 meters

sin119°/29=sin39°/XY

0.8746/29=0.6293/XY

0.8746XY=18.2497

XY=18.2497/0.8746

XY=20.87 meters

8) In a triangle ABC, AB=21.9 cm, BC=10.4 cm and AC= 18 cm

Using cosine rule,

The formula for the cosine rule is c²=(a²+b²-2ab cosC)

18²=21.9²+10.4²-2×21.9×10.4cosC

324=587.77-455.52cosC

-263.77=-455.52cosC

cosC= -263.77/(-455.52)

cosC= 0.579

C=54.62°

Therefore, the measure of YZ is 12.42 meters and the measure of XY is 20.87 meters.

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The graph of the absolute value function y = -g(x) + 1 is shown in the image attached below.

The graph of the absolute value function y = 2h(x + 4) is shown in the image attached below.

In Mathematics, the translation a geometric figure or graph upward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

In this scenario, we can logically deduce that the equation of the first parent absolute value function is g(x) = |2x| and it would be reflected over the y-axis, and then translated by 1 units upward;

g(x) = |2x|

y = -g(x) + 1 = |2x| + 1

h(x) = |2x + 4| - 4

y = 2h(x + 4)

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There were approximately 6056 no votes.

Let's assume the number of yes votes is represented by the variable "5x," where x is a positive constant.

Similarly, the number of no votes can be represented by "8x" since the ratio of yes votes to no votes is 5 to 8.

The total number of votes is given as 9854, so we can set up the following equation:

\(5x + 8x = 9854\)

Combining like terms, we have:

\(13x = 9854\)

To solve for x, we divide both sides of the equation by 13:

\(x = \frac{9854 }{13}\)

\(x \approx 757.23\)

Since x represents a positive constant, we round it to the nearest whole number, giving us x = 757.

Now, we can find the number of no votes by multiplying x by the ratio of no votes:

No votes \(= 8x\)

\(= 8 \times 757\)

\(= 6056\)

Therefore, there were approximately 6056 no votes.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

\(\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}\)

i.e.

\(\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046\)

Hence, The height of the telephone pole = $15.046

The average speed formula is given by:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\)

Let's calculate the total distance first. The car travels 120 miles from point A to point B, and then returns the same distance. Therefore, the total distance is \(\displaystyle\sf 2 \times 120 = 240\) miles.

Now, let's calculate the total time. The time taken to travel from A to B can be calculated using the formula \(\displaystyle\sf \text{Time} = \frac{\text{Distance}}{\text{Speed}}\).

For the journey from A to B:

\(\displaystyle\sf \text{Time}_1 = \frac{120}{30} = 4\) hours

For the return journey from B to A:

\(\displaystyle\sf \text{Time}_2 = \frac{120}{40} = 3\) hours

The total time for the round trip is the sum of the individual times:

\(\displaystyle\sf \text{Total Time} = \text{Time}_1 + \text{Time}_2 = 4 + 3 = 7\) hours

Now, we can calculate the average speed:

\(\displaystyle\sf \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{240}{7} \approx 34.29\) miles per hour.

Therefore, the average speed for the round trip is closest to 34.29 miles per hour.

Answer:

bc if you have more to give

Step-by-step explanation:

Answer:

a b c d e f g h I j k l m n o p t u v w x y z

Step-by-step explanation:

He must give 720 dollars to get 400 euros

Answer:

1584$

Step-by-step explanation:

Original price is 1800$ (100%)

Discount percent: 12%

=> The price after discount is 100 - 12 = 88% of original price

=> The price after discount is 1800 x 88% = 1800 x 88/100 = 1584$

Answer:

13200

Step-by-step explanation:

12% - 1800

100% - x

X = (1800x100)/12 = 15000 - original price

15000-1800 = original price - discount = 13200 price after discount

Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

7 FLowers

Step-by-step explanation:

If you take away 3 from 12, you end up with 9, then you take 2 more away, leaving you with 7 flowers.

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Answer:

3 3/4

Step-by-step explanation:

5 x 9/12 is 45/12 which is 3 9/12 or 3 3/4.

The solution of the given expression is 5( ³/₄ ).

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 ( ¹ / ₃ ), where 2 is the quotient and 1 is the remainder. The mixed number is actually the combination of the whole number and the fraction.

Given fraction is 5 x (9/12). It is solved as below:-

5 x ( 9/12 ) = 5 x ( 3 / 4 )

                 = 15 / 4

When we divide the 15 by 4 the complete division is at 3 times and the remainder is 3 then the mixed number can be written as below:-

= 15 / 4

= 3 ( ³/₄ )

Therefore, the solution of the given expression is 5( ³/₄ ).

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Answer: 17

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A because a markup means the price times the number given which was 32% and 32% is the same as 0.32.

Answer:

11

Step-by-step explanation:

-7 to 4 is 11 Hoped that helped

The solution to the initial value problem is:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1

The solution to the initial value problem is given by:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + C

Where C is the constant of integration. To find C, we can use the initial condition y(0) = 2√{2}:

y(0) = √{16}/{8(0)-1}} + 3e^{-2(0)} + C = 2√{2}

Solving for C:

C = 2√{2} - √{16}/{-1}} - 3 = 2√{2} + √{16} - 3 = 2√{2} + 4 - 3 = 2√{2} + 1

So the solution to the initial value problem is:

y(x) = √{16}/{8x-1}} + 3e^{-2x} + 2√{2} + 1

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Answer:

i dont kown sorry i hope i helped :)

Step-by-step explanation:

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