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:

wait I will edit and answer it in a few minutes

By the formula d = rt, we obtain that the speed of John is 46 miles per hour.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, John drove 138 miles in 3 hours.

The speed of John can be obtained by dividing the total distance covered by the amount of time.

Also given, The formula to find John's rate of speed is, d = rt.

Therefore,

138 = 3r.

r = 138/3.

r = 46 miles per hour.

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Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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9514 1404 393

Answer:

  5.  (d) 8

  6.  (c) 120°

Step-by-step explanation:

5. OC is a radius, just like BO is. The angle at B is a right angle, so the Pythagorean theorem can be used to find BO.

  AO² = BO² +BA²

  BO² = AO² -BA² = 17² -15² = 289 -225 = 64

  BO = CO = √64 = 8

__

6. The measure of arc IK is the same as the measure of the central angle. If we name the circle center X, then arc IK = ∠IXK = ∠HXL because those angles are vertical angles.

  arc IK = 120°

Answer:

Last one at the bottom

Step-by-step explanation:

Because all of those diagonals are equal to each other. So that would mean those diagonals are equal in legnth.

BD is perpendicular to AC Because; all of those diagonals are equal to each other that would mean those diagonals are equal in length.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Remember that the parallelogram in which adjacent sides are perpendicular to each other is called a rectangle.

The diagonals of the parallelogram are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

BD is perpendicular to AC Because; all of those diagonals are equal to each other that would mean those diagonals are equal in length.

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Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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When solving for the volume of the oblique cone, the segment that you would use to substitute in the formula for the volume is D. slant height and radius

A right angle is always present in a cone. To calculate the volume of a cone, we must first determine its radius and height. The radius of a cone is the line drawn from the center of the circle to the circle's edge. The height of the cone is measured from its pointy tip downward.

The axis of a right circular cone or regular cone is perpendicular to its base, whereas the axis of an oblique cone appears tilted and is not perpendicular to the base.

The following formula is used to calculate the volume of an oblique cone with height h, which is the distance from the apex to the base of the cone, and base radius r: (1/3)r²h = volume.

In conclusion, the correct option is D.

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Step-by-step explanation:

an example is if he went 20mph to work and the drive back he goes 60mph.

a) To find the fraction of 1 hour that is 25 minutes, we need to express 25 minutes as a fraction of 1 hour. There are 60 minutes in 1 hour, so we can write:

25/60

This fraction can be simplified by dividing both the numerator and the denominator by 5:

25/60 = 5/12

Therefore, 25 minutes is equal to 5/12 of 1 hour.

b) Sally bought 2 kg of chicken, and she used 3/5 of it. To find out how much of the chicken she used, we can multiply the amount she bought by 3/5:

(3/5) x 2 kg = 1.2 kg

Therefore, Sally used 1.2 kg of the chicken.

To find out how much chicken she had left, we can subtract the amount she used from the amount she bought:

2 kg - 1.2 kg = 0.8 kg

Finally, we can convert 0.8 kg to grams by multiplying by 1000 (since there are 1000 grams in 1 kilogram):

0.8 kg x 1000 = 800 grams

Therefore, Sally had 800 grams of chicken left.

Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:

R = { ( 3 , 1 ) , (4 , 1) , (4 , 2) }

Step-by-step explanation:

Which ordered pairs are in the relation {(x, y) | x > y + 1} on the set {1, 2, 3, 4}

Assuming that:

R should be the set of real numbers such that:

R = { (x,y) | x > y + 1}  on the set {1, 2, 3, 4}

Then:

The ordered pairs for the relation can be computed as:

R = { ( 3 , 1 ) , (4 , 1) , (4 , 2) }

The characteristics that describe the function correctly would be B. The function is decreasing and has a y - intercept at ( 0, - 2 ).

When looking at a linear function as the one shown in this graph, you can tell when it is increasing if the line is moving such that the value of y is increasing. This means that the slope would be diagonal and trending up.

In this case, the diagonal is trending down so this function is decreasing. This rules out C and D.

The y - intercept is the point where the line crosses the y - intercept and as we can see on the graph, this is at point ( 0, - 2 ).

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The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Answer:

correct answer is 456 sq units.

Step-by-step explanation:

Let us have a look at the formula for Surface Area of a prism:

\(A =p \times h+2 \times B\)

Where p is the perimeter of base

h is the height of prism

and B is the base area of prism.

Given that:

h = 7.5 units

Hypotenuse of prism's base = 20 units

One of the Other sides = 12  units

Pythagorean theorem can be used to find the 3rd side of right angled base.

Square of hypotenuse = Sum of squares of other two sides

\(20^2=12^2+side^2\\\Rightarrow 400=144+side^2\\\Rightarrow side =\sqrt{256}\\\Rightarrow side =16\ units\)

Area of base = area of right angled triangle:

\(B = \dfrac{1}{2} \times \text{Base Length} \times \text{Perpendicular Length}\\\Rightarrow B = \dfrac{1}{2} \times 16\times 12 = 96\ sq\ units\)

Perimeter \(\times\) height = (12+20+16) \(\times\) 7.5 = (48) \(\times\) 7.5 = 360 sq units

Now putting the values in formula:

Surface area, A = 360+96 = 456 sq units

So, correct answer is 456 sq units.

Answer:

− √ ( 9 + y ) 2 > 1

Explanation:

− √ ( 9 + y ) 2 , where  y < − 10

Simplify the expression,

− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y

When  y < − 10 , − y > 10

Subtract  9  from both sides,

− 9 − y > 1  Hence,

− √ ( 9 + y ) 2 > 1

The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ -√(9 + y)²

Simplify the expression, then we have

-√(9 + y)² = 0

(9 + y) = 0

9 + y = 0

y = - 9

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The function f(x) is represented by the graph attached below. The domain of the graph is given by [-5,5] or {x | -5 ≤ x ≤ 5 ,x ∈ R} .

A function's domain in mathematics is the set of potential inputs that it can take. It can also be written as b, where f is the function.

Formally speaking, X is the domain of f given a function. It is important to note that, in terms of contemporary mathematics, a function's domain is a part of its definition rather than a property.

The function f can be graphed in the Cartesian coordinate system in the uncommon case where X and Y are both subsets of. In this instance, the function's graph, which is projected onto the graph's x-axis, serves as a representation of the domain.

A real function, f, may not be defined for all possible values of the variable if it is specified in a formula. The natural domain, also known as the domain de definition of f, is the set of real numbers to which the formula in this case can be evaluated to either a real number. It is common to refer to a partial function as just a function and its natural domain as just a domain.

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Answer:

1/2

Step-by-step explanation:

See the steps below:)

Answer:

Step-by-step explanation:

The computer hardware company requires all of the chips purchased from its supplier of computer chips to meet the specification of 1.2 centimeters, with error margins of -0.1cm and +0.1cm

This means that the required length of computer chips is between 1.1cm - 1.3cm

Where 1.1cm = [1.2 - 0.1]

1.3cm = [1.2 + 0.1]

Based on the computer chips supplied last month, mean length was 0.9cm. This means that most of the chips were (in length) less than the lower boundary of 1.1cm.

The element that the production manager should consider in determining his company's ability to produce chips that meet specification is:

- The length of the chips.

The length of the chips his production team produces should be tailored to meet the length specification of his client.

Answer:

I think 3lb is greater

Step-by-step explanation:

Answer:

X = 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5 + 2x = 3

2x = 3 + 5

2x = 8

x = 8 / 2

x = 4

answer is A. x = 4

Step-by-step explanation:

brainliest plz

cos 28 = 0.8829 approximately 0.88

tan87 = 19.081 approximately 19.08

sin59 = 0.8572 approximately 0.86

divdelo

5/160.62

npome corona

Answer:

C. the probability of it not happening is 0.3.

Step-by-step explanation:

Probability of event happening is of 0.7.

Either it happens, or it does not. The sum of these probabilities is 100%.

0.7 probability of happening, so 1 - 0.7 = 0.3 probability of not happening, and the correct answer is given by option C.

A is wrong as the probability is not 1, and B is wrong as the probability is higher than 0.5.

Answer:

interval?

Step-by-step explanation:

I'm not sure. I think so....hope its correct :)

The expected value of the game is $1.83.

The congruent reason for the triangles is (b) HL theorem

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

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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