a x = ±5
b. x = ±5i
C. x = ±3√√5
d. x = ±3√3
e. x = ±3i√√3
f. x= ±3i√√5

1. x^2+45=0
2. x^2=-25
3. x^2-25=0
4. x^2-45=0
5. x^2=27
6. x^2+27=0

Match the items

A X = 5b. X = 5iC. X = 35d. X = 33e. X = 3i3f. X= 3i51. X^2+45=02. X^2=-253. X^2-25=04. X^2-45=05. X^2=276.

Answers

Answer 1

Answer:

1f, 2b, 3a, 4c, 5d, 6e

see image

Step-by-step explanation:

Solve the equations by getting x all by itself on one side. Then, square root to get rid of the exponent.

Any problem where you square root a negative will give you an i in the answer. This is because sqrt(-1) is i. Because i^2 = -1

Also, when you are simplifying square roots for your final answer, look for a perfect square number inside of the radical. Like Sqrt45 can be broken down to

Sqrt9•sqrt5

And because 9 is a perfect square, sqrt9 simplifies to just 3. See image.

A X = 5b. X = 5iC. X = 35d. X = 33e. X = 3i3f. X= 3i51. X^2+45=02. X^2=-253. X^2-25=04. X^2-45=05. X^2=276.
Answer 2
1. F (-45 = -9 * 5)
2. B
3. A
4. C
5. D
6. E

Whenever you take the square root of a negative number, we create a complex number i

Related Questions

NO LINKS!! URGENT HELP PLEASE!!!

O is the center of the decagon below. Find its area. Round to the nearest tenth if necessary.

Answers

Answer:

752.4

Step-by-step explanation:

Here we are provided with a decagon which has 10 sides.

The total interior angle is 360°.

So each will have 360/10 = 36 degrees

Half of that is 18 degrees inside the triangle.

Refer to the attachment below.

opposite = 16sin(18)

adjacent = 16cos(18)

Find the area of this triangle:

= 1/2 × 16sin(18) × 16cos(18)

= 37.61825

There are 20 triangles just like this so the total area is (37.61825 × 20) = 752.365 ≈ 752.4 unit2

Question 8
Match each compound to its correct type.
8.1
CO
hydroxide
8.2
CO₂
carbonate
8.3
SO₂
8.4
CaCO
8.5
NaOH
oxide
trioxide
dioxide

Answers

The correct matching of each compound to its type:

8.1 CO - oxide

8.2 CO₂ - dioxide

8.3 SO₂ - dioxide

8.4 CaCO - incorrect notation (needs a subscript for the number of atoms)

8.5 NaOH - hydroxide

8.1 CO - oxide

8.2 CO₂ - dioxide

8.3 SO₂ - dioxide

8.4 CaCO - carbonate

8.5 NaOH - hydroxide

Here is the correct matching of each compound to its type:

8.1 CO - oxide

8.2 CO₂ - dioxide

8.3 SO₂ - dioxide

8.4 CaCO - incorrect notation (needs a subscript for the number of atoms)

8.5 NaOH - hydroxide

Compound 8.4, CaCO, is not correctly represented. It should have a subscript to indicate the number of atoms present in the compound.

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The exact value of sin θ is 9/13.

Option A is the correct answer.

We have,

In trigonometry,

The sine function (sin) represents the ratio of the length of the side opposite an angle in a right triangle to the length of the hypotenuse.

The cosecant function (csc) is the reciprocal of the sine function, meaning it is equal to 1 divided by the sine of an angle.

In this case,

We are given that csc θ (the cosecant of θ) is equal to 13/9.

To find the value of sin θ (the sine of θ), we can take the reciprocal of csc θ. So,

sin θ = 1/(csc θ) = 1/(13/9) = 9/13.

Therefore,

The exact value of sin θ is 9/13.

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Which represents "5 subtracted from 3 times p"? A. 5 - 3p B. (5 - 3)p C. 3p - 5 D. p3 - 5

Answers

The algebraic expression for the sentence "5 subtracted from 3 times p" is given as follows:

A. 5 - 3p.

How to obtain the algebraic expression?


The sentence in the context of this problem is defined as follows:

"5 subtracted from 3 times p"

The expression that represents 3 times p is given as follows:

3p.

(that is, 3 and p are multiplied).

Then 5 subtracted from 3 times p means that the number 5 subtracts the above expression, hence the expression is given as follows:

5 - 3p.

Meaning that option A gives the correct answer in the context of this problem.

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What’s the lateral area of this

Answers

Answer:

  240 in²

Step-by-step explanation:

You want the lateral area of a triangular prism with triangular base having sides 6 in, 8 in, and 10 in, and a distance between them of 10 in.

Lateral area

The lateral area of a triangular prism is the area of the three rectangular faces. The width of those faces is the "height" of the prism, given as 10 in. The total length of those faces is the perimeter of the base:

  6 in + 8 in + 10 in = 24 in

The lateral area is ...

  A = LW = (24 in)(10 in) = 240 in²

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Brandon has 4 cups of powdered sugar. He sprinkles 1/10 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of lemon cookies. How much sugar does Brandon sprinkle on the brownies?

Answers

Based on the fraction of the sugar sprinkled on the Brownies, Brandon sprinkles 0.4 cups of sugar on the brownies

How much sugar does Brandon sprinkle on the brownies?

The amount of sugar sprinkled on the Brownies by Brandon is determined as follows:

Data given:

Brandon sprinkles 1/10 of the sugar onto the plate of brownies

Since he has 4 cups of powdered sugar in total

The amount of sugar he sprinkles on the brownies can be calculated as:

amount of sugar = fraction of sugar sprinkled * total amount of sugar

The amount of sugar he sprinkles on the brownies = 1/10 * 4 cups

The amount of sugar he sprinkles on the brownies  = 0.4 cups

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AC = 3x-10. BD = x+34. Solve for X.

Answers

The value of x in the figure is 22 as the diagonals are equal

Diagonals of a parallelogram are the line segments connecting two non-adjacent vertices of a parallelogram

Both the AC and BD are equal

AC=3x-10

BD=x+34

As two diagonals are equal

3x-10=x+34

We have to solve for x

3x-x=10+34

2x=44

Divide both sides by 2

x=22

Hence, the value of x in the figure is 22

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1. Drag the cards so that each number sentence is true. (You will have one card left over.)
2. Describe your thinking.

Answers

The numbers arranged in the correct order are:

-3 = -3

-3 < | -1 |

0 < | 1 |

2 > | 0 |

3 > | 1 |

We have,

-3 = -3:

This is a true statement because -3 is indeed equal to -3.

-3 < | -1 |:

This is also a true statement.

The absolute value of -1 is 1, so we are comparing -3 and 1.

Since -3 is less than 1, the inequality is true.

0 < | 1 |:

Again, this is a true statement.

The absolute value of 1 is 1, so we are comparing 0 and 1.

Since 0 is less than 1, the inequality holds true.

2 > | 0 |:

This is also a true statement.

The absolute value of 0 is 0, so we are comparing 2 and 0.

Since 2 is greater than 0, the inequality is true.

3 > | 1 |:

Once again, this is a true statement.

The absolute value of 1 is 1, so we are comparing 3 and 1.

Since 3 is greater than 1, the inequality holds true.

Therefore,

By arranging the given numbers in this order: -3, -3, -1, 0, 1, 2, 3, all of the number sentences become true.

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Explain what is meant by a positive relationship between two variables and a negative relationship between two variables. Give an example of a situation in which you would expect to find a positive relationship and when you would expect to find a negative relationship.

Answers

Answer: A positive relationship between two variables means that as the value of one variable increases, the value of the other variable also increases. In other words, there is a direct association or correlation between the two variables. Graphically, a positive relationship is represented by an upward-sloping line or curve.

For example, let's consider the relationship between studying time and exam scores. In general, if a student spends more time studying for an exam, their exam score is likely to increase. This implies a positive relationship between studying time and exam scores.

On the other hand, a negative relationship between two variables means that as the value of one variable increases, the value of the other variable decreases. In this case, there is an inverse association or correlation between the two variables. Graphically, a negative relationship is represented by a downward-sloping line or curve.

For instance, let's consider the relationship between hours of sleep and levels of fatigue. As the number of hours of sleep decreases, the level of fatigue tends to increase. This indicates a negative relationship between hours of sleep and levels of fatigue.

It's important to note that these examples describe typical scenarios, but individual variations and other factors can also influence the relationships between variables.

Use the image to determine the type of transformation shown.

A. Reflection across the x-axis
B. 90° clockwise rotation
C. Horizontal translation
D. Vertical translation

Answers

Answer:

the answer is C. Horizontal translation

Step-by-step explanation:

trust fr

Please help!!! Correct answer gets brainliest!!!

Answers

D.
When the “er” is attached, it’s because the “more” doesn’t enter before the “er”.

The proportional relationship between cost and pints of blueberries is shown in the table. Blueberries (in pints) 4 10 Cost (in dollars) 18.40 46 Describe what a graph of the proportional relationship would look like.

Answers

The graph of the proportional relationship is a linear graph, with slope of 4.6 and intercept of zero.

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

Hence the graph is a linear function with slope of k and intercept of zero.

The cost of 4 pints is of $18.4, and the cost of 10 pints is of $46, hence the slope of the relation is given as follows:

k = 46/10 = 18.4/4 = 4.6.

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HELPPP

MA.7.DP.1.2
A group of students in the book club are debating whether high school juniors or seniors
spend more time on homework. A random sampling of juniors and seniors at the local high
school were surveyed about the average amount of time they spent per night on homework.
The results are listed in the table below.
Average Amount of Time on Homework Per Night (in minutes)
Juniors 125 90 95
80 100 100 120- 85 95 120 95 85
Seniors 135 70 65 100 35 175 80 80 90 65 120 60
Part A. Calculate and compare the measures of center for the data sets.
Part B. Calculate and compare the variability in each distribution.
Part C. Does the data support juniors or seniors spending more time on homework?
Explain your reasoning.

Answers

Mean (Juniors) = Sum / number of data points = 1085 / 12 ≈ 90.42

Median (Juniors) = (95 + 95) / 2 = 95

Mean (Seniors) = Sum / number of data points = 1095 / 12 ≈ 91.25

Median (Seniors) = (80 + 80) / 2 = 80

How to solve for the median of center

Juniors: 125, 90, 95, 80, 100, 100, 120, 85, 95, 120, 95, 85

First, sort the data: 80, 85, 85, 90, 95, 95, 95, 100, 100, 120, 120, 125

Sum = 1085

Mean (Juniors) = Sum / number of data points = 1085 / 12 ≈ 90.42

Median (Juniors) = (95 + 95) / 2 = 95

Seniors: 135, 70, 65, 100, 35, 175, 80, 80, 90, 65, 120, 60

First, sort the data: 35, 65, 65, 70, 80, 80, 90, 100, 120, 120, 135, 175

Sum = 1095

Mean (Seniors) = Sum / number of data points = 1095 / 12 ≈ 91.25

Median (Seniors) = (80 + 80) / 2 = 80

Variability

Juniors:

Range = max - min = 125 - 80 = 45

Seniors:

Range = max - min = 175 - 35 = 140

C. Based on the mean and median, it appears that seniors spend slightly more time on homework on average (mean ≈ 91.25) compared to juniors (mean ≈ 90.42).

However, the median time spent for seniors (80 minutes) is less than that of juniors (95 minutes), indicating that the data for seniors might be skewed by some outliers.

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The following table represents the highest educational attainment of all adult residents in a certain town. If an adult is chosen randomly from the town, what is the probability that they have a high school degree or some college, but have no college degree? Round your answer to the nearest thousandth.

Answers

The probability that a random adult has a high school degree or some college, but has no college degree is 53. 50 % .

How to find the probability ?

The number of adults with some high school degree or some college would be :

= 3, 561 + 6, 058

= 9, 619 people

The probability that a random adult would have high school degree or some college is therefore :

= Adults with high school degree or some college / Total adults in the town

= 9, 619 / 17, 981

= 53. 50 %

In conclusion, the probability is 53. 50%.

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Triangle ABC is shown. Use the graph to answer the question.

triangle ABC on a coordinate plane with vertices at 1 comma negative 2, 9 comma negative 2, 5 comma 2

Determine the coordinates of the image if triangle ABC is translated 5 units down.

A′(−4, −2), B′(4, −2), C′(0, 2)
A′(1, −7), B′(9, −7), C′(5, −3)
A′(1, 3), B′(9, 3), C′(5, 7)
A′(6, −2), B′(14, −2), C′(10, 2)

Answers

If triangle ABC is translated 5 units down, the coordinates of the image vertices are A′(1, −7), B′(9, −7), C′(5, −3).

The correct option among the given choices is A′(1, −7), B′(9, −7), C′(5, −3).

To determine the coordinates of the image if triangle ABC is translated 5 units down, we need to subtract 5 from the y-coordinate of each vertex of the triangle.

The given vertices of triangle ABC are A(1, -2), B(9, -2), and C(5, 2).

To translate the triangle 5 units down, we subtract 5 from the y-coordinate of each vertex.

The new coordinates of the vertices after the translation are:

A': (1, -2 - 5) = (1, -7)

B': (9, -2 - 5) = (9, -7)

C': (5, 2 - 5) = (5, -3)

Therefore, the correct option among the given choices is A′(1, −7), B′(9, −7), C′(5, −3).

In summary, if triangle ABC is translated 5 units down, the coordinates of the image vertices are A′(1, −7), B′(9, −7), C′(5, −3).

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100 Points! Geometry question. Photo attached. Determine whether the quadrilateral is a parallelogram. Justify your answer using a theorem. Please show as much work as possible. Thank you!

Answers

The given quadrilateral is a parallelogram by the theorem "The diagonals of a parallelogram bisect each other."

Given is a quadrilateral.

We have to determine that the quadrilateral is a parallelogram or not.

From the shape and the drawing given, the quadrilateral is a parallelogram.

A parallelogram has opposite sides parallel to each other.

Here it is parallel.

Here it is given that the diagonals are bisected by each other, that is two parts of the diagonals are of equal length.

We have a theorem that "The diagonals of a parallelogram bisect each other."

A square, rectangle, rhombus can be included in the group of parallelogram.

So this is a parallelogram.

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100 tickets are sold for $1 each. there’s a $25 prize and a $10 prize.what is the expected value for a person that buys a ticket? round to the nearest cent

Answers

The expected value for a person who buys a ticket is $0.35.

We have,

Number of tickets sold = 100

Price of each ticket = $1

Prize value (1st prize) = $25

Prize value (2nd prize) = $10

Let's calculate the expected value step by step:

Calculate the probability of winning each prize:

Since there is only one 1st prize and one 2nd prize, the probability of winning each prize is:

Probability of winning the 1st prize = 1/100

Probability of winning the 2nd prize = 1/100

Calculate the expected value:

Expected value = (Probability of winning 1st prize x Value of 1st prize) + (Probability of winning 2nd prize x Value of 2nd prize)

= (1/100 x $25) + (1/100 x $10)

= $0.25 + $0.10

= $0.35

Therefore, the expected value for a person who buys a ticket is $0.35.

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Southside High School found that 80% of last year's sold-out plays occurred
during weekend performances. Based on this information, the drama teacher
decided to add another performance time on Saturday. This decision is a
result of
OA. describing data
OB. making an inference
OC. creating involvement
D. collecting data

Answers

Answer:

B. making an inference.

Step-by-step explanation:

The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.

30 POINTS, MULTIPLE CHOICE, TIME SENSITIVE!!
Select the correct answer.
Use a graphing tool to solve the equation for x.
-4x-1= 5x + 4

Answers

Answer: x= —5/9

Step-by-step explanation:

Ashley got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 13 cents per yard. If after that purchase there was $25.06 left on the card, how many yards of ribbon did Ashley buy?

Answers

Answer:

38 yards

Step-by-step explanation:

First, subtract to find out how much money was spent.

30 - 25.06

= 4.94

Then divide to find out how many groups of $0.13 are in $4.94.

4.94 ÷ .13

= 38

Ashley bought 38 yards of ribbon.

38 × .13 = 4.94

4.94 + 25.06 = 30

This answer does not consider tax at all. Because it wasn't mentioned in the question and it complicates the problem. So probably don't worry about tax. Unless your teacher /book/program said to consider it. I can edit the answer.

Also, if they said to write an equation:

Let x = yards of ribbon

30 - .13x = 25.06

subtract 30

-.13x = -4.94

divide by -.13

x = 38

please help me solve for x image is attached ive been stuck on it for a few days now

Answers

The value of x will be 10.

Given a triangle we need to set a proportion to solve for the value of x,

Therefore, according to the definition of the similar triangles,

x / 5 = 15+5 / x

x² = 5 × 20

x² = 100

x = 10

Hence the value of x will be 10.

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50 Points! Multiple choice algebra question. Photo attached.

Answers

The period of the function is given as follows:

C) 4.

How to obtain the period of the function?

A periodic function is a function that has the behavior repeating in intervals over the domain.

Then the period of the function is defined as the difference between two points in which the function has the same behavior.

The function in this problem has the behavior repeating at these following points:

x = 0, x = 4, x = 8, ...

Hence the period is given as follows:

4 - 0 = 8 - 4 = 4.

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Which graph has the same end behavior as f(x)=(10x^(3)+x^(2)+3)/(2x^(2)+1)?

Answers

The graph that has the same end behavior as f(x)= (10x³+x²+3)/(2x²+1) is Option A. See the attached.

What is the end behavior of the above graph?

the end behavior of the graph of f(x) is:

As x → +∞ , f(x) → +∞ (approaches positive infinity).

As x → -∞,  f(x) → -∞   (approaches negative infinity).

End  behavior of a function f  defines the behavior of the function's graph at the "ends" of the x- axis.

In other words, the end behavior of a function explains the graph's trend when  we look at the right end of the x-axis (as x approaches +∞) and the left end of the x -axis (as x approaches - ∞ ).

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8. For positive real numbers a, b, and c, the expressions albici and Vabac are equivalent. What are the values
of p, q, and r?

Answers

Answer:

Step-by-step explanation:

To find the values of p, q, and r in the expression albici = Vabac, we need to equate the corresponding parts on both sides.

From the given equation, we have:

p * (a * b) * (c * i) = q * (a * b * a * c)

Comparing the exponents of a, b, and c on both sides, we get:

p = q * a^2

1 = q * c

To determine the value of r, we can use the fact that albici and Vabac are equivalent. The radical symbol (√) represents taking the square root.

√(a * b * c * i) = √(a * b * a * c)

This implies that:

√(a * b * c * i) = √(a^2 * b * c)

Comparing the exponents of a, b, and c on both sides, we get:

1/2 = 2 * p * q * r

Combining all the equations, we have:

p = q * a^2

1 = q * c

1/2 = 2 * p * q * r

To find the specific values of p, q, and r, we need additional information or equations involving a, b, and c. Without more context or equations, it is not possible to determine the exact values of p, q, and r.

Arizona license plates are designed so there
are three letters followed by four digits.
How many different license plates are
possible if letters and digits cannot be
repeated?
A. 175,760,000
B. 47,174,400
C. 78,624,000
D. 115,316,136

Answers

78,624,000 different license plates are possible if letters and digits cannot be repeated.

For the letters:

There are 26 letters in the English alphabet, and we need to choose three of them without repetition.

This can be calculated as a permutation of 26 letters taken 3 at a time:

P(26, 3) = 26! / (26 - 3)!

= 26! / 23!

= 26 x 25 x 24

= 15,600

For the digits:

There are 10 digits (0-9), and we need to choose four of them without repetition.

This can be calculated as a permutation of 10 digits taken 4 at a time:

P(10, 4) = 10! / (10 - 4)! = 10! / 6!

= 10 x 9 x 8 x 7

= 5,040

To find the total number of different license plates possible, we multiply the number of possibilities for the letters by the number of possibilities for the digits:

Total possibilities = P(26, 3) x P(10, 4)

= 15,600 x 5,040

= 78,624,000

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A track coach recorded the time it took for each of her athletes to run a mile. She plans to display the results with a histogram. Which of the following will it show? Select all that apply. (please help as soon as possible. thanks :))

Answers

The histogram will show the distribution of the athletes' mile running times. It will provide a visual representation of the frequency or count of athletes falling within different time intervals.

1. Determine the time intervals or "bins" for the histogram. For example, you might have bins of 5-second intervals, such as 0-5 seconds, 5-10 seconds, and so on.

2. Count the number of athletes who fall within each bin. For instance, if three athletes completed the mile in the 0-5 second bin, and five athletes completed it in the 5-10 second bin, record those counts.

3. Plot the bins on the x-axis of the histogram and the corresponding frequency or count on the y-axis.

4. Draw rectangles (or bars) on the histogram, with the height of each bar representing the frequency or count of athletes within each bin.

5. Label the axes and add a title to the histogram for clarity.

The resulting histogram will provide a visual representation of how the athletes' mile running times are distributed, allowing you to observe any patterns or trends.

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helpppppppppp meeeeee please ​

Answers

Answer:    D.   <4 and <7

Step-by-step explanation:

Consecutive means one after the other

Interior means within the parallel lines

So we are looking for 2 to angles inside the parallelel lines that are 1 after the other on the same side

D.   <4 and <7

Please help me anwser this

Answers

The values are given as:

a. Mean = 19

Median = 20

Mode = 22

Standard deviation = 7.2

Range  = 24

b. Mean = 75

Median  =  80

Mode  = 90

Standard deviation  = 16

Range = 100

What the measures of central tendency?

The three measures of central tendency include;

MeanModeMedian

The measures of dispersions are;

Rangeinterquartile range standard deviation

From the information given, if 4 is added to all the measures, we get;

Mean = 15 + 4 = 19

Median = 16 + 4 = 20

Mode = 18 + 4 = 22

Standard deviation = 3.2 + 4 = 7.2

Range = 20 + 4 = 24

If the values are multiplied by 5

Mean = 15(5) = 75

Median = 16(5) =  80

Mode = 18(5) = 90

Standard deviation = 3.2(5) = 16

Range = 20(5) = 100

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Solve the system of equations :-)
Thank you

Answers

We have the equations:
4x - y + 3z = 12 ...(1)
2x + 9z = -5 ...(2)
x + 4y + 6z = -32 ...(3)

From equation (2), we can express x in terms of z:
2x = -9z - 5
x = (-9z - 5) / 2 ...(4)

Substitute equation (4) into equations (1) and (3):

From equation (1):
4((-9z - 5) / 2) - y + 3z = 12
-18z - 10 - y + 3z = 12
-15z - y = 22 ...(5)

From equation (3):
((-9z - 5) / 2) + 4y + 6z = -32
-9z - 5 + 8y + 12z = -64
3z + 8y = -59 ...(6)

Now we have a system of two equations in terms of y and z.

To solve the system, let's multiply equation (5) by 3 and equation (6) by 15 to eliminate z:

-45z - 3y = 66 ...(7)
45z + 120y = -885 ...(8)

Add equations (7) and (8):
-3y + 120y = 66 - 885
117y = -819
y = -7

Substitute y = -7 into equation (7):
-45z - 3(-7) = 66
-45z + 21 = 66
-45z = 45
z = -1

Substitute y = -7 and z = -1 into equation (4):
x = (-9(-1) - 5) / 2
x = (9 - 5) / 2
x = 2

Therefore, the solution to the system of equations is:
x = 2
y = -7
z = -1

What half of 4 fourths in a decimal

Answers

Answer:

0.5

Step-by-step explanation:

So what do we mean by half? Half means there are two of the thing, and so all you need to do is divide it by two. Half of 4/4 is just another way of saying 4/4 divided by 2:

: 4/4 ÷ 2

Now we know that "half" means to divide by 2, how do we half 4/4? Remember that a fraction a part of the whole, so the higher the denominator is, the smaller the piece. The answer is that the numerator stays the same and we multiply the denominator by 2:

: 4/4 x 2 = 4/8

Here's a little bonus calculation for you to easily work out the decimal format of half 4/4. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal:

: 4/8 = 0.5

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