1. What is the ratio of 10 notebooks to 5 ballpens in simplest form?​

The length KL is 8 units

The value of x is undefined

The length KL is 12 units

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

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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Answer:

C. 120 m²

Step-by-step explanation:

The surface area is equal to the area of 4 rectangles + area of 4 triangles + area of base.

Area of 4 rectangles:

4(5 × 4)

4(20) = 80

Area of 4 triangles:

4(3 × 4 × 1/2)

4(6) = 24

Area of base:

4² = 16

Add the areas.

16 + 24 + 80

= 120

The surface area of the composite solid is 120 m².

The surface area of this composite solid would be, 136 m². Hence, option D is true.

Used the formula for the surface area of the cuboid and the surface area of the 4 triangles,

The surface area of the cuboid = 2 (LW + LH + HW)

And, The surface area of the 4 triangles = 4 (1/2 × Base × Height)

Given that,

In a triangle,

Base = 4 m

Height = 3 m

And, In a Cuboid,

Length = 4 m

Width = 4 m

Height = 5 m

Hence, we get;

The surface area of the 4 triangles = 4 (1/2 × Base × Height)

= 4 (1/2 × 4 × 3)

= 4 × 6

= 24 m²

The surface area of the cuboid = 2 (LW + LH + HW)

= 2 (4 × 4 + 4 × 5 + 5 × 4)

= 2 (16 + 20 + 20)

= 112 m²

Therefore, The surface area of this composite solid would be,

24 m² + 112 m² = 136 m²

So, Option D is true.

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The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

We have,

In set theory, a proper class is a class that is not a set.

A class is a collection of objects, and a set is a class that can be a member of other classes.

On the other hand, a proper class cannot be a member of another class.

The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

This means that V cannot be an element of any other class or set within the context of the set theory being considered.

The concept of proper classes is used to prevent paradoxes and contradictions that can arise when unrestricted comprehension is allowed in set theory.

Thus,

The statement "the universal class V is a proper class" means that class V, which represents the universal set that contains all sets, is not itself a set but rather a proper class.

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Answer:

Opal saves more

Step-by-step explanation:

Answer:

A. He will have to work 40 hours to buy the headphones

B.  1200 ≤ 10.25x ≤ 2000    where x is # of hrs worked

He can work anywhere between 118 and 196 hours.

Step-by-step explanation:

A. Divide 399.95 by 10.25 to get 39.01 hours. But since you cant work 0.01 of an hour, you have to round up to the next hour

B. You want to make more than or equal to 1200, so put that in the inequality. You want to make less or equal to 2000, so you put that in the inequality. In the middle, you put 10.25 an hour multiplied by the number of hours, which is a variable.

To solve, I made 10.25x = 1200, and x equaled 117.07, which rounds up to 118 hours because you cant work a 0.07 of an hour. 118 hours is the low number of the spectrum.

To solve for the highest number on the spectrum, you do 10.25x = 2000, and x equals 195.12, but since you cant work 0.12 of an hour, it rounds up to 196 hours.

Answer:

chemical energy to produce light energy

Check the picture below.

Answer:

Students understand the value of a ratio A: B is A/B. ... If two ratios are equivalent, they have the same value. Grade 6, Module 1, Lesson 8: Classwork. Recall that when given a ratio A: B, where B ≠ 0, we call the quotient, A/B, the value of the ratio.

Step-by-step explanation:

For example, the most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6." Finally, we could write this ratio using a colon between the two numbers, 3:6. Be sure you understand that these are all ways to write the same number.

Answer:

less then a month

Step-by-step explanation:

3.75% of 16800 is 6300 wich + 16800 = 23100

Answer:

less then a month

Step-by-step explanation:

3.75% of 16800 is 6300 wich + 16800 = 23100

Answer:

8x-6y

when x=5 and y=4

=8(5)-6(4)

=40-24

=16

The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.

20 x 12

20 x 12= 240

12 x 12=144

So the first one will be:

240 x 144

Second:

96 x 96

Third:

96 x 114

Fourth:

240 x 196

Fifth:

240 x 240

Sixth:

120 x 240

Answer:

The top middle, top right, and bottom left shapes all have obtuse angles.

Step-by-step explanation:

Obtuse angles are greater than 90 degrees, so just look for the angles that don't look like 90 degrees.

I hope this helps!

Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²

Answer:

20.75 pints

Step-by-step explanation:

Check attachment

Answer: (41/4) US cup =

5.12500 US pints

Step-by-step explanation:

A field that stores the value of a mathematical operation is calculated Field.

What does a mathematical operation mean?

The term "operation" in mathematics refers to the process of calculating a value utilizing operands and a math operator.

                       For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. They are: multiplication, division, addition, and subtraction.

What does the term "mathematical operator" mean?

In mathematics, an operator is typically a mapping or function that works on components of one space to produce elements of an other space (possibly and sometimes required to be the same space).

                              The most frequent operations are add, subtract, multiply, and divide (+,,, ). However, there are other others, like squaring, taking the square root, logarithms, etc. It is most likely an operation if it isn't a number.

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Answer:

No. Since the value of the ratio

is not the same for each pair of​ values, the relationship is not proportional.​ So, an equation cannot be written for the situation. its c

Step-by-step explanation:

Answer:

90 years

Step-by-step explanation:

Equation =

200 - 2x = 20

2x = 200 - 20

2x = 180

x = 180 / 2

x = 90

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

The light bulb will reach the ground 1.25 seconds after it is dropped.

Step-by-step explanation:

We know that for an object that is in the air, the only force acting on it will be the gravitational force (where we are ignoring the air resistance)

Then the acceleration of the object is the gravitational acceleration, 32.17 ft/s^2

Then the acceleration of the light bulb is:

A(t) = (-32.17 ft/s^2)

Where the negative sign is because the acceleration is downwards.

Now, to get the velocity equation, we need to integrate the acceleration over time, we will get:

V(t) = (-32.17 ft/s^2)*t + V0

Where V0 is the initial velocity of the light bulb. Because it is dropped, the initial velocity will be zero, then V0 = 0m/s, then the velocity equation is:

V(t) =  (-32.17 ft/s^2)*t

Finally, to get the position equation we need to integrate again, we will get:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + P0

Where P0 is the initial height of the object, and in this case, we know that it is equal to 25 ft.

Then the position equation is:

P(t) = (1/2)*(-32.17 ft/s^2)*t^2 + 25ft

The object will hit the ground when P(t) = 0 ft, then we need to solve that equation for t:

P(t) =  (1/2)*(-32.17 ft/s^2)*t^2 + 25ft = 0 ft

          25 ft =  (1/2)*(32.17 ft/s^2)*t^2

         2*25ft = (32.17 ft/s^2)*t^2

           50ft =  (32.17 ft/s^2)*t^2

         √( 50ft/(32.17 ft/s^2)) = t = 1.25 s

The light bulb will reach the ground 1.25 seconds after it is dropped.

Answer:

-10a - 7b

Step-by-step explanation:

Solving

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The width of the mat around the photo is 3 inches

The combined area of the of the photo and math = 224 square inches

The combined area is represented as:

(2w +8)(2w + 10) = 224

Expand the equation using the distributive rule

\(4w^2+20w+16w+80=224\\\\4w^2+36w+80-224=0\\\\4w^2+36w-144=0\)

Divide through by 4

\(w^2+9w-36=0\)

Factorize the resulting quadratic equation to solve for w

\(w^2-3w+12w-36=0\\\\w(w-3)+12(w-3)=0\\\\(w-3)(w+12)=0\)

w  -  3  =  0

w   =  3

w  +  12  =  0

w   =  -12

The width of the mat around the photo is 3 inches

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The width of the mat around the photo is 3 inches

Combined area:

2w +8)(2w + 10) = 224

where,

w = width of the mat around the photo

(2w +8)(2w + 10) = 224

open parenthesis

4w² + 20w + 16w + 80 = 224

4w² + 36w + 80 - 224 = 0

4w² + 36w - 144 = 0

divide through by 4

w² + 9w - 36 = 0

solve quadratic equation using factorization method

w² + 12w - 3w - 36 = 0

w(w + 12) - 3(w + 12) = 0

(w + 12) (w - 3) = 0

w + 12 = 0 or w - 3 = 0

w = -12 or w = 3

The width of the mat around the photo cannot be a negative value.

Therefore, the width of the mat around the photo is 3 inches

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Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

The final image is similar to the original image because the dilation changes the size of the image by a factor of 2.

What is sequence of transformation?

When two or more transformations are combined to form a new transformation, the result is called a sequence of transformations, or a composition of transformations.

Translation (x - 1, y + 2): This transformation shifts the image one unit to the right and two units up.

Dilation with scale factor -2: This transformation reflects the image across the origin and changes the size of the image by a factor of 2.

Rotation 90° counterclockwise: This transformation rotates the image 90 degrees counterclockwise about the origin. Since rotation preserves shape and size, it does not affect whether the final image is congruent or similar to the original image.

Therefore, the final image is similar to the original image because the dilation changes the size of the image by a factor of 2.

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Greetings from Brasil...

Angle W

Here we have Opposite Angles by Vertex, so

W = 14

According to the attached figure, the angle W is also corresponding, so in the triangle CEG one of the angles will be 14°

Angle Z

The sum of the interior angles of a triangle is 180°, so for triangle CEG:

Z + W + 78 = 180

Z + 14 + 78 = 180

Z = 88

Angle X

Z and 4X are complementary angles, then

Z + 4X = 180

88 + 4X = 180

___________________________________

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Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:66.4

Step-by-step explanation:

\(A_{semicircle} =\frac{1}{2} \pi r^2=\frac{1}{2} \pi (\frac{13}{2} )^2= 66.36614 \approx66.4\)

Answer:

Step-by-step explanation:

28 x 14 equals 392 so the answer is 392

Answer:

\(3x + y = - 17 - - - eqn(i) \\ 5x - 2y = 13 - - - eqn(ii) \\ by \: elimination \\ (2 \times eqn(i)) + eqn(ii) \\ (6 + 5)x + (2 - 2)y = ( - 34+ 13) \\ 11x = - 21\\ x = - \frac{21}{11} \\ substitute \: for \: x \: in \: eqn(i) \\ - \frac{ 63}{11} + y = - 7 \\ y = - 7 + \frac{63}{11} \\ y = - \frac{ 14}{11} \)