Can someone help me please

Applying the Solution to a 3X3 System


At a family reunion, there only blood relatives, consisting of children, parents, and grandparents, in attendance. There were 400 people total. There were twice as many parents as grandparents, and 50 more children than parents. How many children, parents, and Grandparents were in attendance?

Show up all steps please

Answers

Answer 1

Answer: there were 190 children, 140 parents, and 70 grandparents in attendance at the family reunion.

Step-by-step explanation: Let's denote the number of children, parents, and grandparents as "c", "p", and "g", respectively.

We are given three pieces of information:

The total number of people in attendance is 400:

c + p + g = 400

There were twice as many parents as grandparents:

p = 2g

There were 50 more children than parents:

c = p + 50

We can use this system of equations to solve for the unknown variables.

First, we can use equation (2) to express "p" in terms of "g":

p = 2g

Next, we can substitute this expression for "p" into equation (3) to get:

c = 2g + 50

Now, we can use equations (1) and (4) to eliminate "p" and "c" from the system and express "g" in terms of only known quantities:

c + p + g = 400

2g + 50 + p + g = 400 (substituting c=2g+50)

3g + p = 350 (simplifying)

We can then substitute the expression for "p" from equation (2) into this last equation to obtain:

3g + 2g = 350

Simplifying:

5g = 350

Solving for "g", we get:

g = 70

Now, we can use equation (2) to find "p":

p = 2g = 2(70) = 140

Finally, we can use equation (3) to find "c":

c = 2g + 50 = 2(70) + 50 = 190

Therefore, there were 190 children, 140 parents, and 70 grandparents in attendance at the family reunion.


Related Questions

If ∠A is a complementary angle of ∠B and ∠C is a complementary angle of ∠B, then which of the following statements is true?
B) ∠A ≅ ∠C

C) ∠A ≅ ∠B

D) ∠B ≅ ∠C

Answers

If "∠A" is complementing angle "∠B" and "∠C" is complementing "∠B", then the true statement is (a) ∠A ≅ ∠C, because both the angles have the same measure.

The "Complementary-Angles" are two angles that add up to 90 degrees, which is also known as a right-angle. When two angles are complementary, they are said to complement each other.

Since the angles : ∠A and ∠C are both complementary to ∠B, we can write :

⇒ ∠A + ∠B = 90°,

⇒ ∠B + ∠C = 90°,

Next, We subtract "∠B" from both sides of each equation,
We get;

⇒ ∠A = 90° - ∠B,

⇒ ∠C = 90° - ∠B,

We see that the measure of the angle "A" and angle "C" is same.

Therefore, ∠A and ∠C have the same measure, option (a) is the correct answer.

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The given question is incomplete, the complete question is

If ∠A is a complementary angle of ∠B and ∠C is a complementary angle of ∠B, then which of the following statements is true?

(a) ∠A ≅ ∠C

(b) ∠A ≅ ∠B

(c) ∠A + ∠C ≅ ∠B

(d) ∠B ≅ ∠C

3 to the 8th power times 3

Answers

Answer:

19683

Step-by-step explanation:

3 to the power of 8 is 6561,

so just put 6561 multiplied by itself 3 times.

(6561 X 6561 X 6561).

Answer:

3⁸ × 3 = 19,683

1. (4x+ y)14, term 12 a = b = c =

Answers

The coefficients a, b, and c in the 12th term of the expanded form are 312, 64, and 11, respectively.

The 12th term is 312(64x^3)(y^11) or 19968x^3y^11.

How to solve

We would use the binomial theorem formula

Σ [n! / (k!(n - k)!) * a^(n - k) * b^k] for k = 0 to n.

For our calculation, we have affirmed that n equals 14 whereas a and b are equivalent to 4x and y respectively.

Our objective parameter is set to the twelfth term where k holds the value of 11 (as k begins counting from zero).

Thus substituting these values in the binomial equation, it follows:

(4x + y)^14 = Σ [14! / (k!(14 - k)!) * (4x)^(14 - k) * y^k] from k= 0 to 14.

From this derivation, the number we had sought becomes calculable by assigning value k equals 11:

Term_12 = 14! / (11!(14 - 11)!) * (4x)^(14 - 11) * y^11.

The above simplifies after that further leading to:

Term_12 = 14!/(11! × 3!) × (4x)^3×y^11\

Term_12=(14 × 13 × 12)/(3 × 2 × 1) × (4x)^3 × y^11

which leads to, after computation:

Term_12= 2 ×13 × 12×64x^3y^11

Immediately from our results, the constant values a, b, and c have become clear:

a = 2 × 13 × 12 which reduces to 312

b = 64

c = 11

Thus note that for term 12: 'a' is equal to 312; 'b' is represented by 64 while 'c' stands for 11.

Simplification of this value would lead to expressing the twelfth term as 19968 x^3 y^11.

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Given the expression (4x + y)^14, find the coefficients a, b, and c in the 12th term of the expanded form

7cos^2 -26 = -20sin -7

Answers

The only solution to the equation is cos(x) = 5/7.

We have,

cos²(x) + sin²(x) = 1:

Substituting.

7cos²(x) - 26 = 7(1 - sin²(x)) - 26

= 7 - 7sin²(x) - 26

= -19 - 7sin²(x)

Now,

-19 - 7sin²(x) = -20sin(x) - 7

We can simplify this equation by moving all the terms to one side:

7sin^2(x) - 20sin(x) - 12 = 0

We can solve this quadratic equation using the quadratic formula:

sin(x) = [20 ± √(20² - 4(7)(-12))] / (2(7))

sin(x) = [20 ± √(784)] / 14

sin(x) = (10 ± 28) / 14

sin(x) = 2/7 or sin(x) = -2.

However, we should check whether each solution is valid by substituting it back into the original equation and ensuring that both sides are equal.

So,

If sin(x) = 2/7,

7cos²(x) - 26 = -20 (2/7) - 7

7cos²(x) = -10/7

But since cos²(x) is always non-negative, there is no real solution to this equation.

If sin(x) = -2,

7cos²(x) - 26 = -20 (-2) - 7

7cos²(x) = 25

Taking the square root of both sides, we get:

cos(x) = ±5/7

The two solutions to the original equation are:

sin(x) = -2 and cos(x) = 5/7

or

sin(x) = -2 and cos(x) = -5/7

However, we should note that there is no real number whose sine is equal to -2, so there is no real solution to the equation.

Therefore, the only solution is:

cos(x) = 5/7

Thus,

The only solution is cos(x) = 5/7.

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Express each of the following as a function of 50°:

1. sin310°

Answers

Expressing the trig ratio as a function of 50°, we have sin310° = sin(360 - 50)°

Expressing each as a function in terms of 50 degrees

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

sin310°

The above expression is a sine function of 310 degrees

By mathematical expression, we have

360 - 50 = 310 degrees

This means that we can replace 310 degrees with (360 - 50) degrees in sin310°

So; in terms of 50 degrees, we have

sin310° = sin(360 - 50)°

Hence, the expression sin310° in terms of 50 degrees is sin(360 - 50)°

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It takes Alan 2.6 minutes to make a sandwich

Answers

This is an incomplete question, I think the question will be

A sandwich shop employee named Lucy takes 2.5 minutes to make a sandwich. If she continues at the same rate, how long will it take her to make 10 sandwiches? Write the answer in minutes.

it will take Lucy 25 minutes to make 10 sandwiches if she continues at the same rate.

If Lucy takes 2.5 minutes to make a sandwich, then to find out how much time it would take for her to make 10 sandwiches, we simply multiply the time taken for one sandwich (2.5 minutes) by the number of sandwiches required (10).

10 x 2.5 = 25 minutes

Therefore, if she continues to work at the same rate of making one sandwich in 2.5 minutes, she will be able to make 10 sandwiches in 25 minutes.

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Perry and Darryl are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and bags of daffodil bulbs. Perry sold 1 bag of windflower bulbs and 1 bag of daffodil bulbs for a total of $20. Darryl sold 7 bags of windflower bulbs and 1 bag of daffodil bulbs for a total of $68. What is the cost for each bag of windflower bulbs and one bag of daffodil bulbs?

Answers

A bag of daffodil bulbs costs $12 and a bag of windflower bulbs $8.

Let's use the letters "w" for the price of a bag of windflower bulbs and "d" for the price of a bag of daffodil bulbs.

We may construct the following system of equations based on the above information:

Perry's sales:

w + d = 20 (equation 1)

Darryl's sales:

7w + d = 68 (equation 2)

To solve for w and d, we can use the elimination method. Multiplying equation 1 by -1, we get:

-w - d = -20

Adding this to equation 2, we eliminate d and get:

6w = 48

Dividing both sides by 6, we get:

w = 8

Substituting this value of w into equation 1, we can solve for d:

8 + d = 20

d = 12

Therefore, a bag of windflower bulbs costs $8 and a bag of daffodil bulbs costs $12.

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PLEASE HURRY
Let a = apple and c = cherry.
Mathland Bakery sells apple pies for $7.00 and cherry pies for $11.00.
The total number of pies sold in one day was 36. If the amount collected for all the pies that day was $304.00, how many of each type were sold?

Answers

Mathland Bakery sold 23 apple pies and 13 cherry pies on that day.

Simultaneous equation problem

Since a represents apple and c represents cherry:

Total number of pies sold: a + c = 36 (1)Total amount collected from sales: 7a + 11c = 304 (2)

We can now go ahead to solve for a and c using a simultaneous equation approach.

From equation (1)

a = 36 - c

Substituting this expression into equation (2), we get:

7(36 - c) + 11c = 304252 - 7c + 11c = 3044c = 52c = 13

Therefore, 13 cherry pies were sold. To find the number of apple pies sold, we can substitute this value of c into equation 1:

a + 13 = 36a = 23

Therefore, 23 apple pies were sold.

In other words, Mathland Bakery sold 23 apple pies and 13 cherry pies on that day.

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What is the volume? round to the nearest thousandth

Answers

The volume of the sphere is 5,575.28 ft³.

What is the sphere?

The volume of the sphere is calculated by applying the following formula as shown below;

V = ⁴/₃ πr³

where;

r is the radius of the sphere

The radius of the sphere is calculated as follows;

r = d/2

where;

d is the diameter

r = 22 ft / 2

r = 11 ft

The volume of the sphere is calculated as;

V = ⁴/₃ π(11)³

V = 5,575.28 ft³

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Equivalent fractions are those that simplify to the same fraction.
Provide 3 equivalent fractions for the fraction 9/12.

Answers

Answer:

[tex]\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{18}{24} [/tex]

3/4 = 6/8 =9/12=18/24

magic square with -6,-5,-4,-3,-2,-1,1,2

Answers

Answer:

,-3

A magic square is a square grid where the numbers in each row, column, and diagonal add up to the same total. In this case, we have 8 numbers to fill in a 3x3 grid, so we'll start with the number in the middle cell, which must be 1 to balance the negative numbers around it:

|- - -|

|- 1 -|

|- - -|

Now let's fill in the other cells one at a time, following the rule that each row, column, and diagonal must add up to the same total (which we'll call S):

|-2 - -|

|- 1 -|

|- - -|

We can't put -3 in the top left corner, since that would leave us with two negative numbers in the top row. Instead, we'll put -3 in the bottom right corner:

|-2 - -|

|- 1 -|

|- -3 -|

Now we need to find a number to put in the top row that will make it add up to S. The sum of the top row so far is -2, and we need it to be S/3, since there are 3 cells in the row. So we need to find a number x that satisfies:

-2 + x = S/3

Multiplying by 3 and adding 2 to both sides, we get:

3x = S + 6

So the number we need to put in the top row is (S+6)/3. We'll call this number y:

|-2 y -|

|- 1 -|

|- -3 -|

Now let's find a number to put in the bottom row. The sum of the bottom row so far is -3, and we need it to be S/3. So we need to find a number z that satisfies:

-3 + z = S/3

Multiplying by 3 and adding 3 to both sides, we get:

3z = S + 9

So the number we need to put in the bottom row is (S+9)/3. We'll call this number w:

|-2 y -|

|- 1 -|

|w -3 z|

Finally, let's find a number to put in the top right corner. The sum of the diagonal from top right to bottom left is -2+1-z, which must be equal to S. So we have:

S = -2 + 1 - z

Simplifying, we get:

S = -1 - z

Since we know that the sum of each row is S, we can add up the numbers in the top row and subtract that from S to get:

S -2 - y = -1 - z

Simplifying, we get:

S = z - y + 1

Now we can substitute in expressions for S, y, and z to get an equation for w:

(z + 6)/3 - 2 - (S+6)/3 = -3(z + 9)/3 + 1

Multiplying by 3 to clear the fractions, we get:

z + 6 - 2(S+6) = -3z - 24 + 3

Simplifying, we get:

2S = 2z - 27

So the value of w must satisfy:

(w + 9)/3 + (S+9)/3 = -3z - 24 + 1

Multiplying by 3 to clear the fractions, we get:

w + 9 + S + 9 = -9z - 69

Substituting in expressions for S and z, we get:

w + 9 + (z - y + 1) + 9 = -9z - 69

Simplifying, we get:

w = -10z - 88

Now we can plug in values for z

CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

The distributive property of multiplication can be used to calculate the sum of the difference between the multiples of the variables expression as follows;

[tex]\sum\limits_{i = 1}^{124} (29\cdot a_i - 13 \cdot b_i)[/tex] = -30

What is the distributive property?

The distributive property states that multiplying the difference between addend by a value produces a result which is equivalent to the multiplication of each addend individually and finding the difference from the resulting values.

The distributive property of multiplication indicates that we get;

Where; [tex]\sum\limits_{i=1}^{124} a_i = -10[/tex], and [tex]\sum\limits_{i=1}^{124} b_i = -20[/tex]

[tex]\sum\limits_{i=1}^{124} (29\cdot a_i - 13\cdot b_i) = 29 \times \sum\limits_{i=1}^{124} a_i - 13 \times \sum\limits_{i=1}^{124} b_i = 29 \times (-20) - 13 \times (-10))[/tex]

29 × (-10) - 13 × (-20) = -30

Therefore;

[tex]\sum\limits_{i=1}^{124} (29\cdot a_i - 13\cdot b_i) =-30[/tex]

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What is the solution to the inequaiity -3(x-3)>5-5x

Answers

x < -2 is the solution for the given inequality.

To solve the inequality:

-3(x - 3) > 5 - 5x

We can start by using the distributive property and simplifying both sides of the inequality:

-3x + 9 > 5 - 5x

Next, we can add 5x to both sides of the inequality to get the x terms on one side:

2x + 9 > 5

Then, we can subtract 9 from both sides of the inequality to isolate the variable:

2x > -4

Finally, we divide both sides by 2, remembering to reverse the inequality because we are dividing by a negative number (-3):

x < -2

Therefore, the solution to the inequality is x < -2.

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Each of the following is a calculated F statistic with its degrees of freedom. Using the F table, estimate the level of significance for each. You can do this by indicating whether its likelihood of occurring is greater than or less than a p level shown on the table. (20pts)
a. F = 4.11, with 3 df between and 30 df within
b. F = 1.12, with 5 df between and 83 df within
c. F = 2.28, with 4 df between and 42 df within

Answers

The level of significance based on the information will be:

a. F = 4.11, with 3 df between and 30 df within - < 0.05

b. F = 1.12, with 5 df between and 83 df within - > 0.05

c. F = 2.28, with 4 df between and 42 df within - > 0.05

How to explain the data

The likelihood of rejecting the null hypothesis when it is true, or the alpha level, is used in statistical tests to evaluate statistical significance.

The significance level, or alpha, for this example is set at 0.05 (5%). This was accurately illustrated above

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If m∡STU = (5x - 16) degrees and mSU⌢ = (12x - 50) degrees, find m∡STU

.




m∡STU= _____ degrees


(41 POINTs will give BRAINIEST FOR EFFORT)

Answers

Applying the inscribed angle theorem, the measure of angle STU in the circle is: 29°.

What is the Inscribed Angle Theorem?

When an inscribed angle intercepts an arc in a circle, the measure of the inscribed angle is always half of the measure of the arc it intercepts, based on the inscribed angle theorem.

Angle STU is an inscribed angle that intercepts arc SU in the given circle, therefore:

(5x - 16) = 1/2(12x - 50)

Solve for x:

2(5x - 16) = 12x - 50

10x - 32 = 12x - 50

10x - 12x = 32 - 50

-2x = -18

x = 9

m∡STU = (5x - 16) = 5(9) - 16

m∡STU = 29°

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1. Daniel's yearly income is $90,000. He budgets
28% of his monthly income for his monthly rent
payment. What is the amount of monthly rent Daniel
has budgeted?
1,440

Answers

Answer:

1875

Step-by-step explanation:

Yearly income = $90000

Monthly income = 90000÷12 = $7500

Monthly rent = 25%×7500 = $1875


Rewrite each expression using the distributive property. CODE: Enter your expression Do NOT uses spaces in your expressions.
However, use a comma and a space to separate part a from part b, from part c, from part d

A. 4(n-2) =
B. 8(2+6) =
C. 6•8-6•5 =
D. 5n+15=

Answers

The value of the expressions are;

a. 4n - 8

b. 64

c. 18

d. 5(n + 3)

What are algebraic expressions?

Algebraic expressions are described as expressions that consists of terms, constants, coefficients, factors and variables.

They are also identified to consist of mathematical operations which includes;

BracketParenthesesDivisionAdditionSubtraction

Using the distributive property, we have;

a. 4(n - 2)

expand the bracket, we get;

4n - 8

b. . 8(2+6)

8(8)

expand the bracket

64

c. 6•8-6•5

48 - 30

Subtract

18

d. 5n+15

factorize the expression

5(n + 3)

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2 1/2 yards of fabric cost 7.00.. 3 rolls of ribbon cost 2.50 how much money is spent

Answers

The total amount spent is $9.50.

We have,

2 1/2 yards of fabric cost 7.00.

3 rolls of ribbon cost 2.50.

So, the total amount of money spend

= Cost of fabric + cost of ribbon

= 7 + 2.50

= $9.50

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I need help with this

Answers

Answer: A. 102

Step-by-step explanation:

1,125 divided by 11 is 102.2727... so only 102 full goodie bags can be made.

I need the correct answer to this.

Answers

The addition of the outlier will affect the distribution in that b) The distribution will become skewed left.

Why is the skew left ?

When a score of 12 is added as an outlier, it shifts the distribution of data towards the left-sided direction resulting in skewness. This can be deduced from observing that the median is closer to the lower end of the range of collected data.

Additionally, the introduction of the outlier has substantially decreased the mean value, indicating that the deviation value has pulled the mean downwards and altered the symmetry of the original distribution by making it asymmetrically distributed in a leftward manner.

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Place the numbers in order from greatest to least.

-5/2 5.25 1 3/4 -8.345

Answers

From greatest to least5.25, 1, 3/4 (or 0.75), -5/2 (or -2.5), -8.345

How to place the numbers

To sort these numbers from largest to smallest, we must establish a consistent format for swift comparison.

Among the various numbers included are whole figures, fractions and decimals, causing us to mix them uniformly first so that they match— in decimals.

-5/2 = -2.5

5.25 = 5.25 (no alteration required)

1 = 1.0 (to simplify analysis, only adding decimal points)

3/4 = 0.75

-8.345 = -8.345 (essentially unchanged)

At this point, we can effortlessly contrast and compare the numbers.

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The coordinates of ΔRGB are R(‒3, 2), G(3, 4) and B(1, 1). Under a series of transformations, the resulting figure ΔUNA has the following coordinates: U(2, ‒3), N(‒4, ‒3) and A(‒1, ‒1).

Which statement is not true?


RB has the same length as UA.


GB is congruent to AN.


The measure of ∠R is the same as ∠N.


The original triangle ΔRGB is congruent to ΔUNA.

Answers

The statement that is not true is (c) The measure of ∠R is the same as ∠N.

We have,

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

The coordinates of ΔRGB are R(‒3, 2), G(3, 4) and B(1, 1).

The coordinates of ΔUNA are U(2, ‒3), N(‒4, ‒3) and A(‒1, ‒1).

Looking at the above coordinates, we can see that the transformation rule is (x, y) = (-x, -y)

This is a rigid transformation

And so, the side lengths and the corresponding angle measures are equal

However, angles R and N are not corresponding angles

So, the false statement is (c) The measure of ∠R is the same as ∠N.

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emiliano pants 8,450 trees.he plants 125 in each row with an extra row for any leftover trees. how many full ows are there? How many trees are in the extra row? what fraction of the number of trees in a full row is the number of trees in the extra row?

Answers

The required fraction of the number of trees in a full row that is the number of trees in the extra row is 6/10.

Number of full rows = 8450 trees / 125 trees/row = 67.6 rows

Since Emiliano cannot plant a fraction of a row, the number of full rows he plants is 67.

To find the number of trees in the extra row, we need to subtract the number of trees in the full rows from the total number of trees:

Number of trees in the extra row = 8450 trees - (125 trees/row × 67 rows) = 75 trees

Therefore, Emiliano plants 67 full rows and an extra row with 75 trees.

To find the fraction of the number of trees in a full row that is the number of trees in the extra row, we need to divide the number of trees in the extra row by the number of trees in a full row:

Fraction of the number of trees in a full row that is the number of trees in the extra row = 55 trees / 125 trees/row = 0.6 or 60/100 or 6/10

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The magnitude and direction of two forces acting on an object are 100 pounds, S80°E, and 90 pounds, N55°E,
respectively. Find the magnitude, to the nearest hundredth of a pound, and the direction angle, to the nearest tenth
of a degree, of the resultant force.
The magnitude is approximately ? pounds.
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Answers

The resultant force is gotten  as 173.3780

What is a Resultant Force?

A resultant force is described as  the single force and associated torque obtained by combining a system of forces and torques acting on a rigid body via vector addition

we determine resultant force by following these steps:

Establish the magnitude and direction of each individual force acting on the object first.

Next, we  use Trigonometry to establish the x and y components for each one. For example, if a force comes at the object at 30 degrees from the x-axis with a strength of 10 N, then its x-component would be 8.66 N after calculating 10cos(30), while the y-component will be 5 N which is solved by applying 10sin(30).

we then add all x components of the various forces together.

See attached image for full working

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A right cylindrical storage tank is 25 feet high and has a base radius of 9 feet.
Which measure is closest to the volume of the tank?

A. 15,896.25 cu ft

B. 6358.5 cu ft

C. 5625.0 cu ft

D. 706.5 cu ft


Thank you in advance

Answers

D is the answer I think hope this helps

Ms. Garcia bought 3 packs of red notepads,
5 packs of yellow notepads, and 8 packs of
green notepads. There were 3 notepads in each
package. How many notepads did Ms. Garcia
buy in all?

Answers

48. 3•3=9
3•5=15
3•8=24

9+15+24=48

Answer: red = 9, yellow = 15 green = 24, total = 48 notepads were bought.

Step-by-step explanation:

3 x 3 = 9, so 9 red. 3 x 5 = 15, so 15 yellow. 3 x 8 = 24, so 24 green. In total this is equal to 48 notepads. 9 + 15 + 24 = 48.

Consider the derivation of an alternate form of the cosine double angle identity. A 2-column table with 4 rows. Column 1 has entries 1, 2, 3, 4. Column 2 is labeled Step with entries cosine (2 x) = cosine squared (x) minus sine squared (x), = cosine squared (x) minus (1 minus cosine squared (x)), = cosine squared (x) minus 1 minus cosine squared (x), = 2 cosine squared (x) minus 1. What is the error in this derivation? In step 1, cos(2x) is equal to cos2(x) + sin2(x). In step 2, sin2(x) should have been replaced with 1 + cos2(x). In step 3, cos2(x) – 1 – cos2(x) should be cos2(x) – 1 + cos2(x). In step 4, 2cos2(x) – 1 should be 1 – 2cos2(x).

Answers

The error in this derivation in step 3 will be cos2(x) – 1 – cos2(x) should be cos2(x) – 1 + cos2(x).

The trigonometric identities are given as,

sin²x + cos²x = 1

cos 2x = cos²x - sin²x

A 2-column table with 4 rows.

Column 1                      Column 2

    1                      cos 2x = cos²x – sin²x

   2                                  = cos²x – (1 – cos²x)

   3                                  = cos²x – 1 – cos²x

   4                                  = 2 cos²x – 1

The error in this derivation in step 3 will be cos2(x) – 1 – cos2(x) should be cos2(x) – 1 + cos2(x).

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A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the city official stands outside a concert hall after a show and surveys every 25th person to exit and asks their opinion about raising funds for the arts. Which of the following describes the population in this scenario?

A. all residents of the city
B. the members of the city council
C. all city residents who support the arts
D. the people surveyed by the city official

Answers

All city residents who support the arts. Therefore, the option C is the correct answer.

As the city official would lie to know that if public support for increased funding of arts programs. By collecting data the officials show the survey after every 25 persons and ask for their opinion.

They also tend to raise a fund that states the population in the scenario of a city resident that supports the arts.

The population in this scenario is the people surveyed by the city official. The city official is conducting a survey outside a concert hall after a show, which means they are targeting people who have just attended a show. Since the city official is asking every 25th person to exit their opinion about raising funds for the arts, these are the people who are included in the population being surveyed.

Therefore, the option C is the correct answer.

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Karen's company makes solid metal balls for various industrial uses. A customer wants copper balls that have a diameter of 3 in. If Karen must make 90 of these balls, how much copper will she need?
Use 3.14 for n, and do not round your answer.

Answers

The volume of a sphere is given by the formula V = (4/3) * pi * r^3, where r is the radius of the sphere.

Since the diameter of the copper balls is 3 inches, the radius is 1.5 inches (half of the diameter).

The volume of one copper ball is therefore:

V = (4/3) * 3.14 * (1.5)^3
V = 14.13 cubic inches

To make 90 copper balls, Karen will need:

90 * 14.13 = 1271.7 cubic inches of copper

Therefore, Karen will need 1271.7 cubic inches of copper to make 90 copper balls with a diameter of 3 inches.
The volume of a sphere is given by the formula V = 4/3 * pi * r^3, where r is the radius of the sphere. Since the diameter of the copper balls is given as 3 inches, the radius is 1.5 inches. Plugging this into the formula, we get V = 4/3 * 3.14 * (1.5)^3 = 14.13 cubic inches per ball.

To find the total volume of copper needed to make 90 balls, we can multiply the volume of one ball by the number of balls: 14.13 cubic inches/ball * 90 balls = 1,271.7 cubic inches of copper.

Which of the following should one consider when choosing a career?
a. the potential earnings
b. the work environment
C. the required education
all of the above
d.
Please select the best answer from the choices provided
O A
OB
OC
OD

Answers

The factor that one should consider when choosing a career is D. All of the above.

The factors in making a career choice:

In choosing a career, a student should consider the required education and training involved, the work environment, and their potential earnings.

Other factors to consider include:

Job AvailabilityInterest and passionSoft SkillsTalent and strengthAttitude to work.

Thus, all the listed factors should be considered when choosing a career.

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D BECUASE ITS LONG AND NICE AND IT LAST GOOD becuast work environment
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