A distribution center is redesigning two of its shipping boxes. The volume of these two boxes need
shown
4x
x + 1
x + 2
Х
3x - 1
4x
Write a system of equations to represent the volume of each box, y. Which statement describes the number and viability of the system's
solutions?
ОА
The system has two solutions, and both are viable because they result in positive side lengths.
Ов,
The system has two solutions, but only one is viable because the other results in negative side lengths.
The system has only one solution, and it is viable because it results in positive side lengths.
Ос.
OD
The system has only one solution, but it is not viable because it results in negative side lengths.

Answer:

1. the set of all real numbers from 0 to 80.

2.  {80, 81, 82, 83, ..., 360}

Step-by-step explanation:

So we know based on the number of days the crew works, a certain amount of road will be completed. The amount of road is dependent on the number of days the crew works.

So, number of days crew works = independent variable =  D

amount of road completed = dependent variable = L

Since the crew can work for at most 80 days, they can work from 0  to 80 days.

The first answer is the set of all real numbers from 0 to 80.

The length of roads is the function L = 2D + 200. You plug in the D variable as it asks for it. D's domain is from (0, 80).

So,

L = 2(0) + 200 = 200

L = 2(80) + 200 = 360

The answer is {80, 81, 82, 83, ..., 360}

Answer:

A number less than 45 would be

n<45

n=the number, and the sign is less than

Answer:

20 is my answer and the question is somehow confusing

Answer:77

Step-by-step explanation:Talk to 8 customers per hour, work 8 hours, so:Talk to 8*8 = 64 customers.

Has to increase by 20%, so 64 is multiplied by 1 + 0.2 = 1.2. Then64*1.2 = 76.8Rounding up, 77 is the answer.

Answer:

Hmmmm, very tricky question but I'll figure it out and type it in the comments

Answer:

Yes

Step-by-step explanation:

Answer:

8,3

Step-by-step explanation:

The Bedroom is in the Shape of Rectangle

Area of Rectangle = LW

Perimeter of Rectangle = 2(L+W)

Since the Area = 24

Then LW=24                                   --->1

Since the Perimeter = 22

Then 2(L+W)=22, Then L+W=11        --->2

Substitute by L=11-W from Equation 2 into Equation 1

(11-W)*W=24

[tex]11W-W^{2} =24[/tex]

[tex]W^{2} -11W+24=0[/tex]

(W-3)(W-8)=0

W=3  or W=8

Substitute in Equation 1 to Find L

at W=3 , L=24/3=8

at W=8 , L=24/8=3

so the Dimension of the Door is 8 and 3 feet

Step-by-step explanation:

hello I hope this will help you.

Answer:

Step-by-step explanation:

The length of the diagonal BC is equal to 18.47in

Data;

   m∠ABD = 30°

   BC = ?

   AC = 16 in

Length BC

Since the length of AC = 16in and angle m∠ABD = 30°, let us consider that the edges form a right angle triangle.

We can use trigonometric ratio to find the length BC since it is the length of the diagonal.

Since we have the value of opposite and angle, we can find the hypothenuse using sine angle.

The length of the diagonal BC is equal to 18.47in

Answer:

I did not mean to send this blank

Step-by-step explanation:

Answer:

as the following table?y 4 32 7 56 8 64. Choose 3 answers: 1.Step-by-step explanation:

The volume of 20,000 m³, and the cost of $40/m², $100/m², and

$200/m², give the dimensions that give minimum cost as follows;

The dimensions of the cistern = L × W × H

L = 2·H

L × W × H = 20000

2·H² × W = 20000

[tex]W = \mathbf{ \dfrac{20000}{2 \cdot H^2}}[/tex]

Therefore;

A = 40·L·W + 200·L·W + 100·2·L·H + 100·2·W·H

A = 400·H² + 680·W·H

Given that the leading coefficient is positive, the function has a minimum point.

[tex]A = \dfrac{400 \cdot H^4 + 6800000 \cdot H}{H^2}[/tex]

[tex]\dfrac{d}{dH} A = \mathbf{\dfrac{d}{dH} \left( \dfrac{400 \cdot H^4 + 6800000 \cdot H}{H^2} \right)} = 0[/tex]

Which gives;

800·H⁵ - 6800000·H² = 0

800·H⁵ = 6800000·H²

H³ = 6800000 ÷ 800 = 8500

H ≈ 20.4 m

Which gives;

L ≈ 2 × 20.4 m =  40.8 m

[tex]W = \dfrac{20000}{2 \times 20.4^2} \approx \mathbf{24.029}[/tex]

The interior dimensions of the cistern are;

Learn more about minimum value of a function here:

https://brainly.com/question/73849

Answer:

35 students

And 8 tables

So you jsut divide

35/8 = 4.375

So you have 4.375 tables but you can’t have .375 of a table so

You really need 5 tables to seat all the students.

Answer:

52

Step-by-step explanation:

Answer: Okay first think back you surely have divided whole numbers by 10 it is the same with decimals for each 0 in the thing you are dividing it by you move the dot one to the left. So if you divide it by 10 it is 5.356 by 100 it would be 0.5356.

Hence the answer is 5.356.

Step-by-step explanation:

Hope it helps

Answer : It Is B Reflection Across The Y Axis

Explanation : The Triangles Are At The Exact Same Spot On The Negative And Positive Sides

Hope This Helps

◊ YusuCr ◊

Answer:

A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:
I just took the test

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

Ratio of $1.50 to $1.20

=[tex]\frac{1.50}{1.20}[/tex]=[tex]\frac{1.5}{1.2}[/tex]=[tex]\frac{15}{12}[/tex]=[tex]\frac{5}{4}[/tex]

Ratio will be [tex]\frac{5}{4}[/tex]

Hope it helps ~

Answer:

x=24

Step-by-step explanation:

i cant quite explain how i did it

Answer:

[A] $1500

[B] 1/4

[C] 375

Step-by-step explanation:

Given:

Priced at $1499.80

Sale for 25% off

Solve:

[A] Rounded MacBook Price:

$1499.80 → $1500

Hence, Rounded MacBook Price is $1500

[B] Estimated Discount Price:

25% ⇒ 25/100

Simplify

1/4

Hence, Estimated Discount Price: 1/4

[C] Estimated Sale Price AFTER DISCOUNT ( Do NOT include tax):

$1500 x 1/4 = 375

Hence, Estimated Sale Price after discount( not include tax) is 375.

[RevyBreeze]

R=

[tex]{ [/tex]

(x,y):y=

[tex] {x}^{2} [/tex]

[tex]}[/tex]

Step-by-step explanation:

Amongal medhanite motwal

Answer:

b. 1296 in^2

Step-by-step explanation:

The area of a rectangle is calculated by multiplying width and length:

The length of the QRST is 144 since its width is given as 8 to find the length:

144/8 = 18 is the length of the QRST

it is stated that the two rectangles are similar so their widths and lengths are proportional.

Let x represent the width of WXYZ:

8/24 = 18/x cross multiply expressions

8x = 432 divide both sides by 8

x = 54 now we can calculate area of WXYZ

24*54 = 1296

Answers:

=======================================================

Explanations:

Problem 1

A = (4,4)

B = (-12,8)

Vector u starts at A and ends at B. The arrow points to B.

Subtract x coordinates: xB - xA = -12-4 = -16

Subtract y coordinates: yB - yA = 8-4 = 4

The vector is u = <-16, 4> which is in quadrant Q2.

Use the pythagorean theorem to find the length of the vector.

a^2 + b^2 = c^2

c = sqrt( a^2 + b^2 )

||u|| = sqrt( (-16)^2 + 4^2 )

||u|| = 16.492

Now compute the angle

theta = arctan(b/a)

theta = arctan(4/(-16))

theta = -14.036

Add on 180 degrees so the angle lands in Q2.

-14.036+180 = 165.964

The angle is roughly theta = 165.964 degrees

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

Problem 2

A = start point = (4, 3)

B = end point = (-4, -1)

Subtract x coordinates: xB - xA = -4 - 4 = -8

Subtract y coordinates: yB - yA = -1-3 = -4

v = <a, b> = <-8, -4> which is in Q3

Use the pythagorean theorem to find the length of the vector.

a^2 + b^2 = c^2

c = sqrt( a^2 + b^2 )

||v|| = sqrt( (-8)^2 + (-4)^2 )

||v|| = 8.944

And,

theta = arctan(b/a)

theta = arctan(-4/(-8))

theta = 26.565

We need to add on 180 so we move from Q1 to Q3

26.565+180 = 206.565

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

Problem 3

The notation <-3, 4> means "move 3 units left, 4 units up".

Only vector r fits the description as we move from the initial point (5,3) to the terminal point (2,7)

Answer:

$7,185 see below ↓

explanation:

With median, it is about the number that appears the most, and since the closest it gets is between $7,071 and $7,195, we have to pick the number that averages in-between which in this case is 7,185.

Below, this ↓ array proves the logic.

[tex]\left[\begin{array}{ccc}7195&7185&7071\end{array}\right][/tex]

Answer:

Yes, they paid the same price per each ticket.

Step-by-step explanation:

You will have to find each of their individual prices per ticket. For Diego it would be 47/3 or $15.67 per ticket. For Andre it would be 141/9 or $15.67 per ticket. This means that they paid the same price per ticket so they are paying at the same rate for their tickets.

Answer:

options. X -120 27 -110 2 y -100 -95 -90 27 227627 х - 120 -110 27 y 2 100 27 -95 227 -90 ... - did not match any news results.

Step-by-step explanation:

Based on the tables given and the functions represented, the two functions that are inverses of each other are tables 3 and 4. Therefore, the options 3 and 4 are correct answers.

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

When two functions are said to be inverses of each other, it means that the value of x is one is the corresponding value of y in the other function.

For instance, when the point is (5, 16) in one function, the other function's point would be (16,5).

Therefore, the options 3 and 4 are correct answers.

Learn more about the inverse function here:

https://brainly.com/question/2883051.

#SPJ7

Answer:

2. 131

3. 8

4. 69

Step-by-step explanation:

2.

√5607

=131

3.

10cm, √9cm, 8cm

4.

372−1300

=1369−1300

=69

Step-by-step explanation:

Volume of cube = 6 × 6 × 6 cm³

= 216 cm³