Evaluate the expression.

−12 ⋅ 1/3

Group of answer choices

4

-4

36

-36

Answer:

1 1/4 miles

Step-by-step explanation:

The x and y solution of the system  is x = -3 and y = -6

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

6 = −4x + y

− 5x − y = 21

Make -y the subject in the second equation, by adding 5x to both sides of the equation

5x − 5x − y = 21 + 5x

This gives

−y = 21 + 5x

Substitute −y = 21 + 5x in 6 = −4x + y

6 = −4x - 21 - 5x

Evaluate the like terms

5x + 4x = -6 - 21

This gives

9x = -27

So, we have

x = -3

Substitute x = -3 in −y = 21 + 5x

−y = 21 + 5 * -3

Evaluate

−y = 6

So, we have

y = -6

Hence, the solution for the system of linear equations 6 = −4x + y and − 5x − y = 21 is x = -3 and y = -6

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3 (4a - 2) + 5 = 12a – 1

is true

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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If 18 is subtracted from the number, the digits are reversed.

Let the digit in the unit's place be x and the digit at the tens place be y.

The number obtained by reversing the order of the digits is = 10x + y

10y + x = 6(x + y) + 4

10y + x = 6x + 6y + 4

10y + x - 6x - 6y = 4

- 5x + 4y = 4

(10y + x) - 18 = 10x + y

10y + x - 10x - y = 18

- 9x + 9y = 18

- 9(x - y) = 18

x - y = - 18/9

4x - 4y = -8............(3)

5x - 4y = - 4

4x - 4y = - 8

(-) (+) (+)

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

5x - 4y = - 4

5(4) - 4y = - 4

20 - 4y = - 4

- 4y = - 4 - 20

- 4y = - 24

y = 24/4

Now, Number = 10y + x = 10 × 6 + 4 = 60 + 4 = 64

Answer:

0.70

Step-by-step explanation:

Answer:

23 apple pies and 13 cherry pies were sold.

Step-by-step explanation:

Let's use the variables a and c to represent the number of apple and cherry pies sold, respectively.

From the problem, we know that:

The total number of pies sold is 36: a + c = 36

The total revenue from pie sales is $304.00: 7a + 11c = 304

We now have two equations with two unknowns. We can use substitution or elimination to solve for a and c. Here's one way to use substitution:

Solve the first equation for a: a = 36 - c

Substitute a = 36 - c into the second equation: 7(36 - c) + 11c = 304

Simplify: 252 - 7c + 11c = 304

Simplify further: 4c = 52

Solve for c: c = 13

Substitute c = 13 into the first equation to solve for a: a + 13 = 36

Simplify: a = 23

Therefore, 23 apple pies and 13 cherry pies were sold.

The area of triangle EFG is given as follows:

A = 18.63 square units.

The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:

A = 0.5bh

The base is given by segment EF as follows:

\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)

EF = 5.4.

The midpoint of EF is given as follows:

M(6.5, -8).

The height is given by the segment MG as follows:

\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)

MG = 6.9.

Hence the area is given as follows:

A = 0.5bh

A = 0.5 x 5.4 x 6.9

A = 18.63 square units.

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Check the picture below.

so the surface area of the pyramid will be the sum of the areas of the base and the four triangular faces.

\(\stackrel{\textit{\Large Areas}}{\stackrel{\textit{4 triangular faces}}{4\left[ \cfrac{1}{2}(7.5)(16) \right]}~~ + ~~\stackrel{\textit{rectangular base}}{(7.5)(7.5)}}\implies 240~~ + ~~56.25\implies 296.25~ft^2\)

Answer:

Answer is in the attachment.

Answer: 3

Step-by-step explanation:

Based on the common factors of 12, the possible dimensions of each planter box may be as follows:

The common factors of a number are the divisors that can divide a number (the dividend) without a remainder.

For example, the common factors or divisors of 12 are 1, 2, 3, 4, 6, and 12.

Base area of the planter box = 12 square inches

Length = 4 inches

Width = 3 inches

Area = Length x Width

= 4 x 3

= 12 square inches

Height = 6 inches (assumed value)

The three dimensions of an object (especially, a planter box) are the height, length, and width.

Therefore, the volume = 72 cubic inches (6 x 4 x 3).

Thus, finding the common factors of 12 and choosing 4 and 3, the possible dimensions are indicated above.

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Answer:

Explanation:

Looking at the function, we can see that the function is a parabola in shape

The general equation form of a parabola is:

if a is negative as we have seen, the parabola faces down

Now, to find the range, which is the possible f(x) values, we need to get the vertex of the parabola

The range of values is simply between the lowest possible number and the vertex

We have the vertex of the parabola at the point (-1,4)

So, we have the range of values in:

The component form of the following vectors is Option A. V = (38.3, 32.1).

To find the component form of a vector given its magnitude and direction angle, we can use trigonometry.

The component form of a vector in two dimensions is represented as (x, y), where x is the horizontal component and y is the vertical component.

In this case, the magnitude of the vector is given as 50, and the direction angle θ is 50°. We can use this information to calculate the horizontal and vertical components.

The horizontal component (x) can be found using the formula x = magnitude * cos(θ), and the vertical component (y) can be found using y = magnitude * sin(θ).

Let's calculate the components:

x = 50 * cos(50°) ≈ 38.3

y = 50 * sin(50°) ≈ 32.1

Rounding the answers to the nearest tenth, we get the component form of the vector V as (38.3, 32.1).

Therefore, the correct answer is A. V = (38.3, 32.1).

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The question is incomplete. Find the full content below:

Find the component form of the following vectors. Round your answers to the tenth.

Magnitude of v = 50, direction angle θ = 50°

A. V = (38.3, 32.1)

B. V = (33.8, 31.2)

C. V = (32.1, 38.3)

D. V = (31.2, 33.8)

Answer:

Step-by-step explanation:

              Given                   Parallel lines                 Converse

a). ∠13 ≅ ∠17                           a║c                  Corresponding angles

b). ∠4 ≅ ∠9                             b║e                  Exterior alternate angles

c). m∠19 + m∠22 = 180°         a║b                  Same side exterior angles

d). ∠8 ≅ ∠19                                                     Vertical angles.

e). ∠10 ≅ ∠23                         b║c                   Alternate angles

f). m∠14 + m∠17 = 180°           a║c                   Same side Interior angles

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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Answer:

No, it is not

Step-by-step explanation:

5 cant be simplified even down further unless it is a decimal or a fraction

The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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Answer:

From the question it is given in a ΔRST and Δ UTS  

RS = UT

RT = US

proof:

RS = UT    {given}

RT = US    {given}

ST = TS     {Common}

Therefore, by SSS theorem ΔRST and Δ UTS  is congurent

RST = UTS    {SSS Theeorem}

Answer:

3. Reflexive Property

4. SSS

Step-by-step explanation:

Answer:

0.85 of the original piece of lumber remains.

Step-by-step explanation:

Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.

2.5 - 1.65 =

2.50 - 1.65 = 0.85.

Therefore, 0.85 of the original piece of lumber remains.

Hope this helps! :)

Step-by-step explanation:

Given that,

n(A) = 4

n(B) = 2

We know that

The total number of relations from A to B if n(A) = m and n(B) = n is 2^mn

We have m = 4 and n = 2

Total number of relations = 2^(4×2)

⇛ 2⁸

⇛256

Hope this helps!

Answer:

A rectangle in the coordinate plane with vertices at negative 3 comma negative 1, 1 comma 5, 4 comma 3, and 0 comma negative 3.

Step-by-step explanation:

The distance from Atlanta to San Jose is 2750 miles

Using the map scale derived from the Chicago-San Jose distance, each inch on the map represents approximately 183.33 miles

This answer is gotten it we divide the distance from Chicago to San Jose with 12.

Thus, 2200 miles / 12 inches = 183.33 miles/inch.

Using this scale, the real-world distance from Atlanta to San Jose, represented by 15 inches on the map, would be approximately 2750 miles (15 inches * 183.33 miles/inch = 2750 miles).

Hence, it can be seen that the distance from Atlanta to San Jose is 2750 miles

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The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s  and the solution is g=46, s=29, b=29

(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.

This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:

g + s + b = 104

(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:

g = 46

s = b

Thus, the relationship between the number of silver to bronze medals is s = b

(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:

g + s + b = 104

46 + b + b = 104

46 + 2b = 104

2b = 104 -46

2b = 58

b = 58/2

b = 29

Also, s = 29        (Remember: s = b)

Thus, g = 46, s =29, b = 29

Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively

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Answer:

72 cm ze wszystkich stron

Step-by-step explanation:

promień jest równy bokom kształtu.