1. Which of the following inequalities is equivalent to
1
3
-
O A
x ≥ 2?
x 22
x 21
B
x ≤ 2
x ≤ 1
1 point

This necklace sold at auction for $11,379,600 in 2011. The percentage of the initial purchase price was represented by the auction price is 2.1%.

Given that,

For $54,000, an actor purchased a pearl, diamond, and ruby necklace for his well-known wife. This necklace sold at auction for $11,379,600 in 2011.

We have to find what percentage of the initial purchase price was represented by the auction price.

Let us take the percentage as x%.

Necklace sold at auction=the percentage multiplied by the actual price

We get,

$11,379,600 =x%($54,000)

x%=$11,379,600/$54,000

x%=2.1%

Therefore, the percentage of the initial purchase price was represented by the auction price is 2.1%.

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Based on law of sine, the value of angle C is equal to 94.5 degree.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\(\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}\)

\(\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}\)

we have, by law of sines,

We will use the law of sines to find c as;

sin c                sin 97.5

--------------- = -------------

14.5                      13.7

(13.7)sin c= 14.5 sin 97.5

sin c =  14.5 sin 97.5 / (13.7)

sin c = - 0.1168

Angle c = 94.5

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Answer:

Write an equation to model the given context. Give your answer in simplest form.

The total for a pair of socks with a 15% sales tax.

The original price of an item less a discount of 5%.

Step-by-step explanation:

hhh cc to me the answer to this

Issa invested $2600 at a 4 percent interest rate and $3300 at a 10 percent interest rate.

Let's assume Issa invests x dollars at a 4 percent interest rate and y dollars at a 10 percent interest rate.

The equation that describes the total investment is:

x + y = 5900

The equation that describes the interest earned is:

0.04x + 0.1y = 434

To solve this system of equations, we can use substitution or elimination method. Here, we'll use the substitution method.

From the first equation, we can express x in terms of y:

x = 5900 - y

Substituting this value of x into the second equation, we have:

0.04(5900 - y) + 0.1y = 434

Now, let's solve this equation to find the value of y:

0.04(5900 - y) + 0.1y = 434

236 - 0.04y + 0.1y = 434

0.06y = 198

y = 198 / 0.06

y = 3300

Now that we have the value of y, we can substitute it back into the first equation to find x:

x + 3300 = 5900

x = 5900 - 3300

x = 2600

Therefore, Issa invested $2600 at a 4 percent interest rate and $3300 at a 10 percent interest rate.

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Answer:

A = 3

2A5A0A2 = 2353032

Step-by-step explanation:

Given:

2A5A0A2 is divisible by 9

2A5A0A2 can be divisible by 99 if the sum of the digits can be divided by 9

Digits A is between 0 to 9

2 + A + 5 + A + 0 + A + 2 = 9x

Where,

x = multiples of 9

9 + 3A = 9x

Make A the subject

A = (9x - 9) / 3

When x = 0

A = {9(0) - 9} / 3

= (0 - 9) /3

= -9/3

= -3

When x = 1

A = (9x - 9) / 3

= 9(1) - 9 /3

= 9-9/3

=0/3

A = 0

When x = 2

A = (9x - 9) / 3

= 9(2) -9 / 3

= 18-9/3

= 9/3

A = 3

When x = 3

A = (9x - 9) / 3

= 9(3) - 9 / 3

=27 - 9 /3

= 18/3

A = 6

When x = 4

A = (9x - 9) / 3

= 9(4) -9 /3

= 36-9/3

= 27/3

= 9

Recall, Digits A is between 0 to 9

Substituting A = 0

2050002 ÷ 99

= 20707.09

Substituting A = 3

2A5A0A2

2353032 ÷ 99

= 23,768

Substituting A = 6

2A5A0A2

2656062 ÷ 99

= 26,838.91

Substituting A = 9

2A5A0A2

2959092 ÷ 99

= 29,889.82

Therefore, the only A digit that will not give a decimal number when divided by 9 is 3

A = 3

The greatest power of the polynomial function is its degree

Since we need the 5th degree, then the greatest power of x must be 5

From the given figure, we can see that the function in answer A is

The function has the greatest power of x = 5, then

This function in answer A is in the 5th degree

The function in answer D is

When we multiply the 2 brackets we will find the greatest power of x will be 5

Since the greatest power of x is 5, then

The function in answer D is in the 5th degree

The answers are A and D

By trigonometric functions, the length of the hypotenuse is approximately equal to 131.571.

In this problem we find the measure of an angle and its opposite side from a right triangle, whose representation is shown in the image attached below.

Trigonometric functions are transcendent expression that relates an angle of the right triangle with two sides of the same. We can find the measure of the hypotenuse by the definition of the sine function:

sin θ = h / r

Where:

If we know that h = 45 and θ = 20°, then the length of the hypotenuse is:

r = h / sin θ

r = 45 / sin 20°

r ≈ 131.571

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A) There are 330 possible ways to form the committee if any EE and any CE can be included.

B) There are 210 possible ways to form the committee if one particular CE must be in the committee.

C) The total number of ways to form the committee with two particular CE excluded is 205

In this case, we are given a scenario where a committee is to be formed from a group of chemical and electrical engineers. Let's dive into the details of the problem and explore how probability can be used to solve it.

(a) If any EE and any CE can be included, we need to find the number of ways to form a committee of 7 members from a group of 6 CE and 5 EE. In this case, the order in which the committee members are selected does not matter, so we can use the formula for combinations.

The total number of ways to select 7 members from a group of 11 engineers is given by:

C(11,7) = 11! / (7! * 4!) = 330

(b) If one particular CE must be in the committee, we can first select that CE and then form the rest of the committee from the remaining engineers. The probability of selecting that particular CE is 1/6, since there are 6 CE in total.

Once we have selected that particular CE, we need to select 6 more members from a group of 5 EE and 5 CE (excluding the one we have already selected). The total number of ways to do this is given by:

C(10,6) = 10! / (6! * 4!) = 210

(c) If two particular CE cannot be in the same committee, we can use the principle of inclusion-exclusion to find the total number of ways to form the committee.

First, we find the total number of ways to form the committee without any restrictions. This is given by:

C(11,7) = 330

Next, we find the number of ways to form the committee with both particular CE included. This is given by:

C(9,5) = 126

We subtract this from the total number of ways to form the committee to get the number of ways with at least one of the particular CE excluded:

330 - 126 = 204

However, we have counted the case where both particular CE are excluded twice, so we need to add this back in:

C(7,7) = 1

Therefore, the total number of ways to form the committee with two particular CE excluded is:

204 + 1 = 205

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The function that best models this scenario is C of x equals 3.75 times x if x is less than 5 and 3.25x plus 5 if x is greater than 6.

Let the number of hours be illustrated as x. In this situation, local city park rents kayaks for $3.75 per hour. This will be:

= 3.75 × x

= 3.75x

Also, customer rents for four or more hours, the cost is only $3.25 per hour, plus a $5 processing fee. This will be illustrated as:

= 5 + (3.25 × x)

= 5 + 3.25x

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Answer: answer is D 0.02

Step-by-step explanation:

Got it right

Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

answer: A: 16

B: 16

C: 12.57

D: 12.57

E: 3.43 (do area of square-area of circle 16-12.57

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

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Answer:

$0.6

Step-by-step explanation:

Divide 9 with 15, 9/15 = 3/5 = 0.6

The third term in the expansion of the expression (5x - 7y)³ is 735xy².

Given expression is,

(5x - 7y)³

We have to expand this.

We know that,

(a + b)³ = a³ - 3a²b + 3ab² - b³

Using this,

(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³

               = 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³

               = 125x³ - 525x²y + 735xy² - 343y³

Here the third term is 735xy².

Hence the third term is 735xy².

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Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

Answer:

The answer is to this is D. 210

There are 70 grandparents, 140 parents, and 190 children in attendance at the family reunion

Given data ,

Let's denote the number of grandparents as "g", the number of parents as "p", and the number of children as "c".

Given that there were 400 people total at the family reunion, we can write the equation:

g + p + c = 400

Now , there were twice as many parents as grandparents, so we can write:

p = 2g

And we are given that there were 50 more children than parents, so we can write:

c = p + 50

Now we can use the equations (1), (2), and (3) to solve for the values of g, p, and c.

On simplifying the equation , we get

g + 2g + (2g + 50) = 400

5g + 50 = 400

5g = 400 - 50

5g = 350

g = 350 / 5

g = 70

Now we can substitute the value of g into (2) to find the value of p:

p = 2g = 2 x 70 = 140

And we can substitute the value of p into (3) to find the value of c:

c = p + 50 = 140 + 50 = 190

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

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Answer:

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

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

The distance between Bloemfontein and Upington is a distance of 582 kilometers. The distance between two cities may vary depending on the route taken, traffic, and other factors. The distance between these two cities is measured in a straight line, which may not be the actual road distance.

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Answer:

D

Step-by-step explanation:

The greatest common factor of 12 and 24 is 12. The only option which accounts for this is D.

Answer:

-20c - 8 = -8

Step-by-step explanation:

Solve for c.

Set up an equation: -5c - 2 = -2  

Add 2 to both sides: -5c = 0

Divide both sides by -5: c = 0

Plug the value of c into the expression: -20(0) - 8

Multiply: 0 - 8

Subtract: -8

Answer:

and.........................................

Step-by-step explanation:

The ribbon cost per foot $0.6 per foot

Step-by-step explanation:

Total number of ribbon used = (5.75 + 11.75) = 17.50 feet

17.50 feet of ribbon cost = $10.50

1 foot of ribbon cost = x

Cross Multiply

17.50 × x = 1 foot × $10.50

x = 1 foot × 10.50/17.50

x = $0.6

The ribbon cost per foot $0.6 per foot

Answer:

Step-by-step explanation:

If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.

Let 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...

  4s +4l = 288

And the second cake serves ...

  3s +5l = 316

Subtracting 3/4 of the first equation from the second gives ...

  (3x +5l) -3/4(4s +4l) = (316) -3/4(288)

  2l = 100

  l = 50

  4s +4(50) = 288 . . . substitute for l in the first equation

  4s = 88 . . . . . . . . . . subtract 200

  s = 22 . . . . . . . divide by 4

A small tier will serve 22 guests; a large tier will serve 50 guests.

Answer:

Step-by-step explanation:

The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. In each of the given expressions, we can use the Distributive Property to expand the expression by multiplying the coefficient outside the parentheses to each term inside the parentheses, and then adding the resulting products. This results in an equivalent expression that is simplified but has the same value as the original expression.

Answer:

Step-by-step explanation:

6(x+4)

Distribute 6 between the terms x and 4 as:

6(x)+6(4)

=6x+24

2(5+r)

Distribute 2 between the terms 5 and r as:

2(5)+2(r)

=10+2r

11(n+3)

Distribute 11 between the terms n and 3 as:

11(n)+11(3)

=11n+33

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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Answer:

300

Step-by-step explanation:

For every two boys, there are three girls, so divide 120 by 2 = 60

Multiply 60 by 3 = 180

Total number of students in school: 120 + 180 = 300

Answer:

2/5

Step-by-step explanation:

markup / cost       =    10 /25 = 2/5