{X-5-12

Which statement explains why the two systems of equations below have the same

solution?

6x +y = -10

12x+16--20

A. The first equation in B is the sum of the equations in A, while the other is obtained

by multiplying the second equation in A by 6.

B. The first equation in D is the sum of the equations in A, while the other is obtained

by multiplying the first equation in A by 2.

C. The equations in A are increased by 12 and -92 to get the equations in B.

D. The first equation in D is the difference of the equations in A, while the other is

bbtained by multiplying the first equation in A by-2

The length of each side of the cube-shaped building block is: 3/5 feet long.

The volume of a cube = (length of the side of the cube)^3. All sides of a cube have the same length. To find the volume of a cube, find the cube of the side length.

Given the the volume of the building block = 27/125 ft^3, to find how long each of the building blocks is, find the cube root of its volume, 27/125 ft^3.

Therefore, we would have:

How long each building block is = side length of cube = ∛(27/125)

Side length of cube = 3/5

Therefore, the length of each side of the cube-shaped building block is: 3/5 feet long.

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They must sample 385 subscribers to obtained this interval.

What do you mean by sample?

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.

According to the given question,

We have:

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let put in the formula,

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore, they must sample 385 subscribers to obtained this interval.

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The value of x is 42.

To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.

The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.

Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.

Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.

Given that the length of side x in Figure B is 12, we can substitute it into the equation:

(2/7)x = 12

To solve for x, we can multiply both sides of the equation by 7/2:

x = (12 * 7) / 2

Simplifying the expression:

x = 84 / 2

x = 42

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Answer:

5.94g

Step-by-step explanation:

4.14+1.8=5.94gram

Answer:

21

Step-by-step explanation:

because

Answer:

all I I don't know for real

The value of a = -2 and b = 3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

Here, we have

Given: 3a - 5b = -26, a + 2b = 6

We have to solve this equation.

3a - 5b = -26...(1)

a + 2b = 6...(2)

Now we multiply equation (1) by 2 and equation (2) by 5 and we get

6a - 10b = -52....(3)

5a + 10b = 30....(4)

After solving equations (3) and (4), we get

11a = -22

a = -2

Now we put the value of 'a' in equation(3) and we get

6(-2) - 10b = -52

-10b = -52 + 12

-10b =  -30

b = 3

Hence, the value of a = -2 and b = 3.

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Answer:

Her estimate is wrong.  If she can only fit 22 boxes in a truck and she is only using 24 trucks, she have 11 boxes left.

Step-by-step explanation:

24x22=528

539-528=11

Her estimate is wrong.  If she can only fit 22 boxes in a truck and she is only using 24 trucks, she has 11 boxes left.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that each truck can hold 22 boxes, she needs to ship 539 boxes in total. Megan thinks she can fit all 539 boxes into 24 trucks.

For 24 trucks the number of the boxes will be calculated as below:-

24x22=528

The remaining boxes are:-

539-528=11

Therefore, the estimate is wrong.  If she can only fit 22 boxes in a truck and she is only using 24 trucks, she has 11 boxes left.

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Answer:

The answer is A:81

Step-by-step explanation:

3 times 3 times 3 times 3= 81

Hopes this help.

As per the query, we have to find a number which is divided by 8 that answers 27, i.e., quotient is 27, and remainder is 4. The number is 220.

In this case, we used it to find the number that was divided by 8 and gave a quotient of 27 and a remainder of 4. As we know the rule:

Dividend = Divisor × Quotient + Remainder

x = 8 × 27 + 4 x = 216 + 4 x = 220.

Hence, the number is 220.

The formula I used is called the division algorithm. It’s a way to divide two numbers and get a quotient and remainder. We can use this formula to solve other division problems with remainders as well.

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Answer:

For 1: Absolute value of -4/5 is 4/5

For 2: Absolute value of 6.43 is 6.43

For 3: Absolute value of -22 is 22.

For 4: 4 < | -8 |

For 5: | -7| > -12

For 6: -7 < | 3 |

Answer:

1.

a. False

2.

a.True

Step-by-step explanation:

Answer:

Basically you would have to follow the rule of proportions to answer this.

Step-by-step explanation:

x/100 = 332/550

Cross multiply: 332 x 100 = 550x

Then divide: 33200 / 550 = x

X = 60. 36 % or approximately 60%

Sam need to score at least 80 to earn B in probability.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however doubtless an occurrence is to occur, or however doubtless it's that a proposition is true.

Main body;

Sam's test score are 82, 91, and 67.

After adding we can find the total score of sam after 3 exam .

82+91+67 = 240

Average of 3 test score = 240/3

                                        = 80

sam need to score at least 80% ,

so to maintain 80% , he need to score 80 more in the last test.

Hence ,Sam need to score at least 80 to earn B in probability.

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Answer:

35/40

I think that’s what you mean? Hope this helped

Step-by-step explanation:

Answer:

Step-by-step explanation:

We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.

If  \(3-2|.5x+1.5|=2\) then

\(-2|.5x+1.5|=-1\)  What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

\(|.5x+1.5|=.5\)

Now we can set up the 2 main equations for this which are

.5x + 1.5 = .5  and .5x + 1.5 = -.5

Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.

Solving the first one:

.5x = -1 so

x = -2

Solving the second one:

.5x = -2 so

x = -4

We want to find the other solution of the given absolute value equation.

The other solution is x = -4

We know that:

3 - 2*|0.5*x + 1.5| = 2

It has one solution given by:

- 2*|0.5*x + 1.5| = 2 - 3 = -1

|0.5*x + 1.5| = 0.5

0.5*x + 1.5 = 0.5

0.5*x = 0.5 - 1.5 = -1

0.5 = -1/x

Then we have x = -2

To get the other solution we need to remember that an absolute value equation can be written as:

|x - a| = b

or:

(x - a) = b

(x - a) = -b

Then the other solution to our equation comes from:

|0.5*x + 1.5| = 0.5

(0.5*x + 1.5) = -0.5

0.5*x = -0.5 - 1.5 = -2

x = -2/0.5 = -4

The other solution is x = -4

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Inequality Form = X > -1

Interval Notation = (-1,∞)

Answer:

x>-1

Step-by-step explanation:

move the 5 to the other side by subtracting both sides by 5:

-2x+5-5<7-5

=

-2x<2

Divide by negative 2

(Reminder when you divide or multiply anything by negative you need to switch the signs to the other side)

x>-1

Hope this helps!

The matrix P that orthogonally diagonalizes A is obtained by finding the eigenvalues and eigenvectors of A, normalizing the eigenvectors, and using them as columns of P.

First, we find the eigenvalues and eigenvectors of A:

|4-λ 1| (4-λ)(λ-1) - 1 = 0 → λ1 = 5, λ2 = 3

|1 4-λ|

For λ1 = 5, we get the eigenvector (1,1)/√2, and for λ2 = 3, we get the eigenvector (1,-1)/√2.

Thus, P = [ (1/√2) (1/√2); (1/√2) (-1/√2) ].

Then, P^-1AP = D, where D is the diagonal matrix of the eigenvalues of A.

P^-1 = P^T (since P is orthogonal), so we have:

P^-1AP = P^TAP = [ (1/√2) (1/√2); (1/√2) (-1/√2) ] [ 4 1; 1 4 ] [ (1/√2) (1/√2); (1/√2) (-1/√2) ] = [ 5 0; 0 3 ]

Therefore, the matrix P that orthogonally diagonalizes A is [ (1/√2) (1/√2); (1/√2) (-1/√2) ], and P^-1AP = [ 5 0; 0 3 ].

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In a technique called stub testing, the programmer simulates each program outcome or result and displays a message to indicate whether or not the program executed successfully.

Test stubs are programs that imitate the behaviors of software components that a module undergoing tests rely on in advanced polymorphism computer science. Test stubs react to calls with pre-programmed prefabricated responses; they typically don't respond at all to calls that aren't part of the test. A stub is a brief piece of code used in testing to replace another component. Using a stub has the advantage of returning consistent results, which makes the test easier to write. And tests can be performed even if the other components are not yet operational.

The programmer simulates each program outcome or result and displays a message to show whether or not the program executed successfully. This process is known as stub testing.

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.

4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.

If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.

In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.

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The Question in English

What does a^2 mean in mathematics

Answer:

(x,y) = (-5,1)

Step-by-step explanation:

USES SUBSTITUTION METHOD

Solving Steps:

x + 6 = -x -4 (Solve the equation)

x = -5 (Substitute the value of x)

y = -(-5) - 4 (Solve the equation)

y = 1 (Substitute the value of y)

Answer: (x,y) = (-5,1)

I hope this helped!!

Answer:

Since all triangle angles sum to 180 then we can say

2x + 3x + 7x = 180

12x = 180

x = 15

There fore the angles are

2 * 15 3 * 15 and 7 * 15 or

30 45 and 105

Those 3 total 180 degrees

Step-by-step explanation:

The prime factorization of the number 68 is 2×2×17 and least prime number is 2 and greatest prime number is 17.

A number system is defined as a system of writing to express numbers.

We need to find the prime factorization of the number 68

Prime factorization is a process of writing all numbers as a product of primes.

The prime factorization of 68 is 2×2×17

The prime factors of 68 are 2 and 17.

The least prime number is 2 and greatest prime number is 17.

Hence the prime factorization of the number 68 is 2×2×17 and least prime number is 2 and greatest prime number is 17.

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Answer:

$2.50

Step-by-step explanation:

Because you got 6 avocados for 15 dollars so you divide 15/6 to find out each unit cost for the avocados

Answer:

A, B and E

Step-by-step explanation:

Answer: A,B and E i did the test

Step-by-step explanation:

Answer:

117

Step-by-step explanation:

The square root of 6,400 is 80.

80+37=117