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The expression 4x + 3y - 16 has three terms. The terms are:

4x (the term with the coefficient 4 and the variable x)

3y (the term with the coefficient 3 and the variable y)

-16 (the constant term with the coefficient -16)

There are 3 terms. The 2 terms are 4x, 3y, and -16. They’re the invidual expressions separated by a + or - sign.

Answer: The original box is 180 Inches², the new box is 330 inches²

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Step-by-step explanation:

Answer:

slope= -7/21

Go down by 7

go right by 21

Answer: slope= -7/21

Go down by 7

go right by 21

Step-by-step explanation: slope ratio means that for every two inches of rise, you would need one foot of ramp

Answer: k = 12

Step-by-step explanation:

2k–14 ≤ 10

1. Remove the 14 from the equation by adding it to the 10 (10 + 14)

2k ≤ 24

2. Get k to be by itself by dividing the 2 from 24

24/2 = 12

k = 12

Answer:

Step-by-step explanation:

Length of the object = 4 ft

Breadth of the object = 4 ft

Height of the object = 3 ft

Volume / Area of the object = Length * Breadth * Height

                                                = 4 * 4 * 3

                                                = 48 ft³

Length of the cubical hole = 2 ft

Breadth of the cubical hole = 2 ft

Height of the cubical hole = 3 ft

Volume / Area of the cubical hole = Length * Breadth * Height

                                                          = 2 * 2 * 3

                                                          = 12 ft³

Remaining Area of the object = Area of the object - Area of the cubical hole

                                                    = 48 - 12 ft

                                                    = 36 ft

We can’t tell any area of a 3d object without it’s SA formulas.

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Answer:16

Step-by-step explanation:

150/100=1.5

16x1.5=24

Answer:

34.54

Step-by-step explanation:

 C = πd

C = 11 in * 3.14 = 34.54

Answer:

B

Step-by-step explanation:

According to your question B is answer

The inequality x ≤ 20 has 20 positive whole-number solutions. These solutions are the whole numbers from 1 to 20, inclusive.

In mathematics, a relation that makes a non-equal comparison between two numbers or other mathematical expressions is called an inequality. It is used to compare two numbers by their size on the number line most often. Following are several notations that are used to represent different types of inequalities:

a < b: a is less than b.

a > b: a is greater than b.

a ≤ b: a is less than or equal to b.

a ≥ b: a is greater than or equal to b.

a ≠ b: a is not equal to b.

Inequalities can be solved using similar methods as equations but with some additional rules. For example, when multiplying or dividing both sides of an inequality by a negative number, the direction of the inequality sign must be reversed.

According to the question, x is lesser than or equal to 20.

We have to only find the positive whole-number solutions.

Therefore, x values start from 1 and end at 20, including 1 and 20 both.

Thus, The inequality x ≤ 20 has 20 positive whole number solutions.

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Answer:

difference is 2 boxes

Step-by-step explanation:

A) first 3 months of last year

435+428+437/3 = 433

B) the first 3 months of this year

450+406+450/3 = 435

C) difference is 2 boxes

The expression that correctly shows the number sentence - the square of the sum of 6 plus b is greater than 10 - is option (a) - [tex](6+b)^{2} > 10[/tex]

A mathematical statement made up of a relational symbol (=, >, <, etc.) and of two expressions is called a number sentence is . An equation is a number sentence whose relational symbol is the equal sign.

The given number sentence is an example of mathematical expressions in one variable.

Here, the variable given is 'b'.

According to the question,

The sum of 6 plus b can be represented as = 6 + b

And, the square of the sum of 6 plus b can be represented as = [tex](6+b)^{2}[/tex]

This value is greater than 10.

This means, [tex](6+b)^{2} > 10[/tex]

All other expressions are wrong interpretations of the given number sentence.

The correct answer is option (a) - [tex](6+b)^{2} > 10[/tex]

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Answer:

x - y

Step-by-step explanation:

if x is greater than y subtraction will be the result with a positive number.

Answer:

Net worth = Assets - Liabilities

Assets' total = $315,400

Liabilities' total = $153,300

Net worth = $162,100

Answer:

The first click beetle went higher.

Step-by-step explanation:

The vertex is the minimum point of a parabola that opens upwards, or the maximum point of a parabola that opens downwards.

Since the height of each of the beetles at time, t seconds, is modelled as a parabola that opens downwards, the maximum height of each beetle is the y-value of the vertex.

The function representing the height, h, of the first beetle is:

[tex]h(t)=-16t^2+8t[/tex]

We could complete the square to rewrite the function in vertex form, however the quickest way to find the vertex of a quadratic function in the form ax² + bx + c is to use the formula for the x-value of the vertex:

[tex]\boxed{x_{\sf vertex}=-\dfrac{b}{2a}}[/tex]

Comparing  ax² + bx + c with the given function:

Therefore, substituting the values of a and b into the formula, the x-value of the vertex of h(t) is:

[tex]x_{\sf vertex}=-\dfrac{8}{2(-16)}=0.25[/tex]

To find the y-value of the vertex, and thus the maximum height of the first beetle, simply substitute t = 0.25 into function h(t):

[tex]\begin{aligned}\implies h(0.25)&=-16(0.25)^2+8(0.25)\\&=-16(0.0625)+2\\&=-1+2\\&=1\end{aligned}[/tex]

Therefore, the maximum height of the first beetle is 1 foot.

From inspection of the given graph modelling the height of the second beetle, we can see that the maximum y-value is approximately 0.76 feet.

As the height of the second click beetle is less than the maximum height of the first click beetle, the first beetle went higher.

Answer:

42.3

Step-by-step explanation:

= -88-5*(-4)+110.3

= -88-5*-4+110.3

= -88--20+110.3

= -88+20+110.3

= -68+110.3

= 42.3

I hope this helps!

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

There are two ways a fair coin can land: heads and tails. Since there is an equal chance that the coin lands on heads and tails, there is half chance ([tex]\frac{1}{2}[/tex] or 50%) that the coin lands heads-up.

∴ Therefore, the probability as a fraction is [tex]\frac{1}{2}[/tex].

Hope this helps!

Answer:

D.4

Step-by-step explanation:

Area of the base is 9 square feet, the lateral face area is 27 square feet, Lateral surface area is 27 square feet and total surface area  is 36 square feet.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The square has a side length of 3 ft

Area of the base is 3×3

Area of the base is 9 square feet

Now let us find the lateral face area = 2a√[(a²/4) + h²]

=2(3)√[(9/4) + 17.64]

=6√20

=27 square feet

Lateral surface area = a√(a²+4h²)

a=3, h=4.2

Lateral surface area = 3√(9+4(4.2)²)

= 3√(9+4(17.64))

3√(9+70.56

= 3√79.56

=3×9

=27 square feet

To find total surface area, we have to find the slant height by pythagoras theorem

(1.5)²+(4.2)²=l²

2.25+17.64=l²

20=l²

4.47=l

Now total surface area = a² + 2al

=3²+2(3)(4.47)

=9+26.82

=36 square feet

Hence, Area of the base is 9 square feet, the lateral face area is 27 square feet, Lateral surface area is 27 square feet and total surface area  is 36 square feet.

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Answer:

3 1/2x16

Step-by-step explanation:

You can multiply 16 times the answer (3 1/2 or 3.5) which equals 56 ounces.

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Option (D)

It is option (D) by the following reasons -

REASON 1 - The net has 4 sides.

So, Option (A) and (B) are canceled as they have 5 sides in the obtained figure.

REASON 2 - The net has two 8 inched sides and one 14 inched sides.

So, Option (C) is canceled as it has two 14 inched sides and one 8 inched side.

REASON 3 - The answer is Option (D)

As all the remaining options are canceled, the left over Option is only Option (D).

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Step-by-step explanation:

For the rectangular prism, the volume is obtained as 51840 cubic inches.

What is volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

First, we need to find the total volume of the 240 cubes.

Since each cube has a side measuring 1/2 ft, the volume of each cube is (1/2 ft)³ = 1/8 cubic feet.

Therefore, the total volume of the 240 cubes is -

240 × (1/8) = 30 cubic feet

Next, we need to convert this volume to cubic inches.

Since 1 foot = 12 inches, 1 cubic foot = (12 inches)³ = 1728 cubic inches.

Therefore, the volume of the 240 cubes in cubic inches is -

30 × 1728 = 51840 cubic inches

Finally, we need to find the volume of the larger rectangular prism that contains all the cubes.

The volume will be the same as the volume of 240 cubes.

Therefore, the volume value is 51840 cubic inches

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Answer:

Tessellation

Step-by-step explanation:

The figure shown is a picture of a Tessellation

Where a Tessellation is a tiling of regular polygons (in two dimensions), polyhedra (three dimensions), or polytopes ( dimensions)

Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.

So the Adjacent Angle to ∠LSP is ∠PSM.

∠PSM number is 5

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Answer:

Step-by-step explanation:

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