One number is 6 3/4 while another number is 2 1/6 smaller. Find the sum of these numbers.

The value of the container's contents is approximately $983.25

To find value of the contents, we must calculate its volume first.

Volume = length x width x height

Volume = 4.5 ft x 11.5 ft x 10.5 ft

Volume = 534.375 cubic feet

The container is full and its contents have a volume of 534.375 cubic feet. If its contents weigh 0.4 pounds per cubic, then, total weight of the contents is:

= Volume x Weight per cubic foot

= 534.375 cubic feet x 0.4 pounds per cubic foot

= 213.75 pounds

If the contents are worth $4.60 per pound on average, then the total value of the contents is:

= Weight x Value per pound

= 213.75 pounds x $4.60 per pound

= $983.25.

Read more about rectangular prism

brainly.com/question/128724

#SPJ1

Answer:

y= 50x + 150

Step-by-step explanation:

Answer:

Here’s a piecewise function that represents the total cost C (in dollars) for a photoshoot that lasts h hours:

                     150            for 0<h≤1

C(h)= {150 +100⌈2(h−1) ⌉ for 1<h≤3​

Step-by-step explanation:

The first part of the function represents the cost for a photoshoot that lasts up to 1 hour. The second part represents the cost for a photoshoot that lasts more than 1 hour but no more than 3 hours. The ceil function rounds up to the nearest integer.

I hope this helps you! Have a nice day. (゜▽゜)つ Bye -

Answer:

it is a zero dimensional point

Step-by-step explanation:

points are an exact location represented by a dot.

points do not have dimension (length, width, or height)

The result of the row 1 multiplication by 1/4 is determined as  [¹/₂  0 ].

The resultant of the row multiplication in the Matrice is calculated by applying the following method;

row 1 in the given matrices = [2 0]

To multiply row by 1/4, we will multiply each entity by 1/4 as shown below;

[2 0] x 1/4 = 1/4(2 0)

= [¹/₂  0 ]

Thus, the result of the row multiplication is determined by multiplying each entry in row 1, that is 2, and 0 by 1/4.

Learn more about row multiplication here: https://brainly.com/question/31531585

#SPJ1

Open and clear communication is crucial when discussing estate planning and wills with family members to prevent misunderstandings and hurt feelings.

1. It is understandable that Brennan and Maureen feel shocked and disappointed with the reduced inheritance.

While it is not required for parents to disclose every detail of their estate planning to their children, it would have been helpful if they had discussed the impact of the gifts on their estate and their final inheritance.

Clear communication can prevent misunderstandings and hurt feelings in the future.

2. Brennan and Maureen have a responsibility to discuss the will with their parents. It is essential to have an open and honest conversation about their parents' wishes and intentions to avoid any confusion or disputes in the future.

While it can be uncomfortable to talk about death and inheritance, it is a crucial conversation to have.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

To know more about financial advisor based topics here

brainly.com/question/29767702

#SPJ1

Therefore, the coordinates of  [tex]S'[/tex] are  [tex](-2, -1)[/tex] .

A series of numbers called coordinates is used to describe a point's location in a two- or three-dimensional space.

Typically, coordinates in a two-dimensional space are expressed as a pair of integers (x, y), where x denotes the point's horizontal location (also known as the abscissa) and y denotes its vertical position (also known as the ordinate).

Coordinates are commonly expressed as a triplet of numbers (x, y, z) in a three-dimensional space, where x, y, and z stand for the locations along the x, y, and z axes, respectively.

In order to describe the location of objects or points in space, coordinates are often employed in a variety of disciplines, including mathematics, physics, engineering, and computer graphics.

To rotate a point 180° about the origin, we need to negate the x-coordinate and the y-coordinate of the point.

So to find the coordinates of S', we can apply this rule to the coordinates of S:

x-coordinate of   [tex]S' = -x-[/tex] coordinate of [tex]S = -(2) = -2[/tex]

y-coordinate of  [tex]S' = -y-[/tex]  coordinate of  [tex]S = -(1) = -1[/tex]

Therefore, the coordinates of S' are [tex](-2, -1).[/tex]

Learn more about coordinates here:

https://brainly.com/question/29120595

#SPJ1

Answer:

First problem: x = 5.7√2 = (57√2)/10

Second problem: x = 10√3

Answer:

shape

Step-by-step explanation:

Answer:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

The correct answer is D.

Answer: your answer would be A.

Answer:

B

Step-by-step explanation:

let the mid-point of DE be ( x , y )

x = (8+4)/2 = 6

y = (6+10)/2 = 8

the mid- point of DE is ( 6 , 8 )

If Allison jogs at the same rate for 1 and a half hours, the number of miles that she would jog is 6.75 miles.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time.

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Speed = 4.5/1

Speed = 4.5 miles per hour.

Making distance the subject of formula, we have:

Distance, d(t) = speed × time

Distance, d(t) = 4.5 × 1.5

Distance, d(t) = 6.75 miles.

Read more on speed here: https://brainly.com/question/19260635

#SPJ1

Answer:

yes

Step-by-step explanation:

the factor theorem says if (x + a) is a factor of a polynomial f(x) then f(- a) = 0

given (x+ 5) then if f(- 5) = 0 , (x + 5) is a factor

4[tex](-5)^{4}[/tex] + 16(- 5)³ - 6(- 5)² + 73(- 5) + 15

= 4(625)+ 16(- 125) - 6(25) - 365 + 15

= 2500 - 2000  - 150 - 350

= 500 - 500

= 0

then (x + 5) is a factor of the given polynomial

Using a normal distribution calculator and entering the mean as 300, the standard deviation as 30 and the range (300 to 390), the probability that a given tree has between 300 and 390 apples is 0.4987 or 49.87%.

Probability refers to the chance or likelihood that an expected event occurs out of many possible events.

Probability lies between 0 and 1, depending on the degree of certainty.

Mean = 300

Standard deviation = 30

Range = 300 to 390

Thus, the probability that a given tree has between 300 and 390 apples is 0.4987 or 49.87%.

Learn more about normal distribution probabilities at https://brainly.com/question/4079902.

#SPJ1

The dimensions that minimizes the perimeter are undefined and DNE

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

Base = w

Heights = h and T

Where

T = 1.6w

The area of the window is calculated as

A = 1/2Tw + hw

So, we have

A = 1/2 * 1.6w * w + hw

A = 0.8w² + hw

Differentiate with respect to w

A' = 1.6w + h

Set to 0

1.6w + h = 0

Solve for h

h = -1.6w

The above means that the perimeter cannot be minimized

This is because h and w cannot be negative

Hence, h = undefined and w = undefined

Read more about perimeter at

https://brainly.com/question/19819849

#SPJ1

It is to be noted that the volume of all the wooden figures will come to.

Each wooden figure as shown in the image is

L = 4ft

W = 4ft
H = 10ft

Where L = Length, w= Width and H = height.

The volume of a cuboid is  L x W x H

So we have

4 x 4 x 10

Since there are six of the figures, we restate the expression as:

6 x 4 x 4 x 10

= 960 Ft³

Thus, volume of all of the parts is 960 Ft³

Learn more about volume:
https://brainly.com/question/1578538

#SPJ1

Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

The events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.

To calculate the percentage of the student population being surveyed, you can use the formula:

Percentage = (Number of students surveyed / Total number of students) * 100

In this case, the number of students surveyed is 15 (girls' basketball team), and the total number of students is 1,000.

Percentage = (15 / 1,000) * 100 = 1.5%

So, the events committee is surveying only 1.5% of the student population by asking the girls' basketball team about the school dance.

Read more about surveys here:

https://brainly.com/question/14610641

#SPJ1

The events committee wants to survey students about a school dance. The committee is

meeting in the gym, where the girls' basketball team is practicing. They survey the

players on the girls' basketball team.

If there are 1,000 students in the school, and the girls' basketball team has 15 players, what percentage of the student population is being surveyed by the events committee about the school dance?

The inequality to represent the situation is 11x + 18 ≤  40.

The rental car company charges $22 per day to rent a car at 0.08 for every mile driven. Samuel wants to rent a car knowing that he plans to drive 450 miles he has at most to spend $80.

Therefore, the inequality to represent the situation of Samuel when x is the number of days can be represented as follows:

Hence,

22x + 0.08 × 450 ≤ 80

22x + 36 ≤  80

Divided both sides of the inequality by 2

11x + 18 ≤  40

Hence, the required inequality expression is 11x + 18 ≤  40

where

learn more on inequality here: https://brainly.com/question/28200159

#SPJ1

The equation that represent the number of bracelets b and the number of rings r is 6b + 8r > 600 and 2b + 4r < 275, hence, option A is correct.

Let b represent the number of bracelets and r represent the number of rings that Marisol makes. Marisol plans to sell each bracelet for $6 and each ring for $8. So the amount she earns from selling bracelets is 6b and the amount she earns from selling rings is 8r.

The craft fair committee charges a $25 fee to sell at the fair. So Marisol's total earnings after paying the fee is 6b + 8r - 25. It costs Marisol $2 to make a bracelet and $4 to make a ring. So the total cost of making b bracelets and r rings is 2b + 4r. To make a profit, Marisol's earnings must be greater than her costs,

6b + 8r - 25 > 2b + 4r

Simplifying this inequality, we get,

4b + 4r > 25

We also know that Marisol wants to sell at least $600 in jewelry. This can be expressed as,

6b + 8r > 600

Finally, Marisol wants to spend less than $300 for supplies and the fee. This can be expressed as,

2b + 4r + 25 < 300

Simplifying this inequality, we get,

2b + 4r < 275

Therefore, the system of inequalities that represents the situation is,

6b + 8r > 600

4b + 4r > 25

2b + 4r < 275

where b represents the number of bracelets and r represents the number of rings that Marisol makes.

To know more about inequalities, visit,

https://brainly.com/question/25275758

#SPJ1

Answer:

Step-by-step explanation:

(a)  Given:   r=4  h=3

Formula for cylinder:  V=Bh = [tex]\pi r^{2} h[/tex]  

Solution:

V= [tex]\pi r^{2} h[/tex]

V= [tex]\pi[/tex]4²(3)            >square

V= [tex]\pi[/tex] (16)(3)         >multiply numbers

V=48[tex]\pi[/tex]                >leave as pi

(b)  Given: 4  h=6

This volume will be greater because you are multiplying by 6 instead of 4

V=96[tex]\pi[/tex]

Answer:

[tex] {m}^{2} + 7m - 30 = [/tex]

[tex](m - 3)(m + 10)[/tex]

Answer:

  (x -6)² +(y +2)² = 128

Step-by-step explanation:

You want the equation of the circle centered at (6, -2) through point (14, 6).

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

For center (h, k) = (6, -2), we can find the value of r² knowing that it will be the value that lets the point (14, 6) satisfy the equation.

  (14 -6)² +(6 -(-2))² = r² = 8² +8² = 128

The circle equation is ...

  (x -6)² +(y +2)² = 128

Answer:A=OE+L

Step-by-step explanation:

880000=51000+L

Liabilities=370000

680000=2x

The amount of its equity of 340000 for the second problem

Answer:3,000

Step-by-step explanation:

Roger and Trish will have completed 11/30 of the homework if they work together for 1 hour.

First, we need to find their individual rates of work, which is the reciprocal of the time it takes for each to complete the homework:

Roger's rate: 1/6 of the homework per hour

Trish's rate: 1/5 of the homework per hour

When they work together, their combined rate of work is the sum of their individual rates:

Combined rate: 1/6 + 1/5 = 11/30 of the homework per hour

After working together for 1 hour, they will have completed:

11/30 * 1 = 11/30 of the homework

Therefore, Roger and Trish will have completed 11/30 of the homework if they work together for 1 hour.

Learn more about rate of work here : brainly.in/question/28897811

#SPJ1

Ilana ran a total distance of 23.725 miles during her first week of training for a half marathon.

Distance refers to the amount of space or physical separation between two points or objects. It is a measure of how far apart two objects or points are from each other.

Ilana will run 4.125 miles each day for the first three days, which gives a total distance of:

4.125 miles/day × 3 days = 12.375 miles

For the next two days, she will run 5.675 miles per day, which gives a total distance of:

5.675 miles/day × 2 days = 11.35 miles

To find the total distance that Ilana ran during her first training week, we simply add the distances from the first three days and the next two days:

12.375 miles + 11.35 miles = 23.725 miles

Therefore, Ilana ran a total of 23.725 miles during her first week of training.

To know more about distance visit:

brainly.com/question/29172881

#SPJ1

Answer:

I'm sorry, but there is no feature for this in this game.  But, there is a grid and a sizing tool.  You'll just have to make an educated guess based on the size of your character and your character's stage of life (baby, toddler, kid, teen, adult).  Hope I helped!  I once had the same question, but just did this.  I think each big grid square maybe is 3-5 ft?

The value of proᵥᵥv is (-30/37)i + (42/37)j and the decomposed vector v into v₁ and v₂ are  6 + 6j and -5i + j - 6 respectively.

a. To find the projection of w onto v (proᵥᵥw), we can use the formula,

proᵥᵥw = (w · ȳ)ȳ where ȳ is the unit vector in the direction of v.

First, let's find the unit vector in the direction of v,

|v| = √((-5)² + 7²) = √(74)

ȳ = v/|v| = (-5/√(74))i + (7/√(74))j

Next, let's find the dot product of w and ȳ,

w · ȳ = (-1)(-5/√(74)) + (-1)(7/√(74))

w · ȳ  = 12/√(74)

Finally, we can find the projection of w onto v,

proᵥᵥw = (w · ȳ)ȳ = (12/√(74))((-5/√(74))i + (7/√(74))j)

(w · ȳ)ȳ = (-60/74)i + (84/74)j

(w · ȳ)ȳ = (-30/37)i + (42/37)j

Therefore, the projection of w onto v is (-30/37)i + (42/37)j.

b. v₁ = ((v · w)/|w|²)w

v₂ = v - v₁ where |w| is the magnitude of w. First, let's find |w|,

|w| = √((-1)² + (-1)²)

|w| = √(2)

Next, let's find v · w,

v · w = (-5)(-1) + (7)(-1)

v · w = -12

Using the formula, we can find v₁,

v₁ = ((v · w)/|w|²)w = (-12/2)(-1 - j)

v₁ = 6 + 6j

Now, finding v₂,

v₂ = v - v₁

v₂ = (-5i + 7j) - (6 + 6j)

v₂ = -5i + (7 - 6)j - 6

v₂ = -5i + j - 6

As a result, the vector v can be divided into two parts: v₁ = 6 + 6j and v₂ = -5i + j - 6, where v₁ is parallel to w and v₂ is orthogonal to w.

To know more about orthogonal vectors, visit,

https://brainly.com/question/15587050

#SPJ1

Complete question - Given v = - 5i + 7j and w = - 1 - j.

a. Find proᵥᵥv

b. Decompose v into two vectors v₁ and v₂ where v₁ is parallel to w and v₂ is orthogonal to w.

Answer: 6/1

Step-by-step explanation: 2/1 x 3/1 = 6/1