What is 24.98 divided by 2?

Answer:

y= -3x + 7:)

Step-by-step explanation:

Hope this helps!

Answer:

y = - 3x + 7

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 )

Here m = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute (4, - 5) into the partial equation

- 5 = - 12 + c ⇒ c = - 5 + 12 = 7

y = - 3x + 7 ← equation of line

The ordered pairs (0,0), (- 2, - 5), (5, - 3) are solutions of the inequality 5y - 3x ≤ 7.

A linear inequality is one that would result in a linear equation if we were to substitute the equals relation for the inequality. When solving the inequality, the direction of an inequality is reversed when we multiply or divide both sides by a negative value.The collection of all solutions makes up the solution set for an inequality.

Here,

Now, in order to determine which ordered pairs are a solution, we need to substitute the coordinate points into the left side of the inequality and check against right side for the validity.

A. (0,0)

5(0) - 3(0) = 0 ≤ 7  

So, (0,0) is a solution.

B. (3, 5)

5(5) - 3(3)= 25 - 9 = 16 ≥ 7

So, (3, 5) is not a solution.

C. (1,2.5)

5(2.5) - 3(1)= 12.5 - 3 = 9.5 ≥ 7

So, (1,2.5) is not a solution.

D. (- 2, - 5)

5(-5) - 3(-2) = - 25 + 6 = - 19 ≤ 7  

So, (- 2, - 5) is a solution.

E. (5, - 3)

5(-3) - 3(5) = - 15 - 15 = -30 ≤ 7  

So, (5, - 3) is a solution.

Hence, the ordered pairs (0,0), (- 2, - 5), (5, - 3) are solutions of the inequality 5y - 3x ≤ 7.

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Answer:

\(\huge\boxed{2k-13}\)

Step-by-step explanation:

\(\sf -3(2+4k)+7(2k-1)\\Expanding \ brackets\\-6-12k+14k-7\\Combining \ like \ terms\\-12k+14k-6-7\\2k -13\)

Answer:

It is B, 3.844 x 10 to the 5th power

Step-by-step explanation:

The amount of grass needed for the courtyard is given as follows:

105.68 square feet.

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is half the diameter, given as follows:

r = 0.5 x 11.6

r = 5.8 ft.

Hence the area is given as follows:

A = π x 5.8²

A = 105.68 square feet.

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The p-value associated with the test statistic is 0.018, which is less than the significance level of 10%.

If the p-value is less than the significance level (10%), then the manager can reject the null hypothesis in favor of the alternative hypothesis, which is that the average number of times car owners rotate their tires in a year is less than two.

Based on the sample data of 14 car owners, the mean number of times their tires were rotated in the last 12 months is 1.36, which is less than two. The standard deviation of the sample is 1.16, and the t-test statistic is calculated to be -2.28.

Using a t-distribution table with 13 degrees of freedom (n-1), the critical t-value at a significance level of 10% is -1.771. Since the t-test statistic (-2.28) is less than the critical t-value (-1.771), there is enough evidence to reject the null hypothesis.

Therefore, the manager can conclude that based on this sample data, there is sufficient evidence to suggest that car owners rotate their tires less frequently than the recommended amount in the owner's manual.

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Answer:

M=0, b= 3 csc (20)

Step-by-step explanation:

Answer:

the answer would be 3

Step-by-step explanation: Brainliest Please

because you would do the distance formula to find the distance of the line between the points so the formula is y2-y1

                                                             _____

                                                             x2-x1

Answer:

$37.76

Step-by-step explanation:

32*1.18=37.76.

Hope this helps!

Answer: $3.66 per hour

Step-by-step explanation:

Just divide 33 by 6

Answer:

$5.50

Step-by-step explanation:

To find the cost per hour you need to divide cost/hour

33/6=5.5

This gets you 5.5

It costs $5.50 to rent a bike for an hour

Answer:

Greater than

Step-by-step explanation:

First, I solved the expressions.

3(4x-1)=12x-3

2(4-x)=8-2x

12x-3>8-2x

As we can see, 12x-3 is greater than 8-2x.

Step-by-step explanation:

12x - 3 (expand 3(4x-1))

8-2x (expand 2(4-x))

if you assume that x=1 then 12x-3 would be 12(1)-3 then it would be 9 for the first

for the second equation, 8-2x, it would be 8- 2(1) or 6

9>6 so, 3(4x-1) > 2(4-x)

The correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.

To find the percentage of players whose age is less than 31, we can use the standard normal distribution and z-scores.

First, we need to calculate the z-score for the value 31 using the formula:

z = (x - μ) / σ

where x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.

In this case, x = 31, μ = 33, and σ = 2. Plugging these values into the formula, we get:

z = (31 - 33) / 2 = -1

Next, we can look up the cumulative probability associated with the z-score -1 in the standard normal distribution table. The cumulative probability represents the percentage of values that are less than the given z-score.

From the standard normal distribution table, the cumulative probability for z = -1 is approximately 0.1587, which corresponds to 15.87%.

Therefore, the correct answer is b) 15.87%, indicating that approximately 15.87% of NFL players have a retirement age less than 31 years old.

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Answer:

-1.5

Step-by-step explanation:

The product of slopes of two perpendicular lines = -1

If line one has a slope of 2/3;

Let line two, perpendicular to line one, has a slope of a

2/3 × a = -1

a = -1 ÷ 2/3 = -3/2 = -1.5

Answer:

Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

Step-by-step explanation:

Let M = Mom's age, D = Dad's age, F = Fritz's age, A = Adele's age and E = Erika's age.

Given that

1) Mom is 8 years younger than Dad, we have D = M + 8   (1)

2) Dad is 2 times as old as Fritz. D = 2F   (2)

3) Adele is 4 years old. A = 4     (3)

4) Fritz's age plus Adele's age equals Erika's age. F + A = E   (4)

5) Mom was 24 when Erika was born. M = E + 24    (5)

6) In 9 years, Mom will be twice as old as Erika will be. M + 9 = 2(E + 9)   (6)

Substituting (5) into (6), we have

E + 24 + 9 = 2(E + 9)

E + 33 = 2E + 18

subtracting E from both sides, we have

2E - E + 18 = 33 + E - E

E + 18 = 33

subtracting 18 from both sides, we have

E + 18 - 18 = 33 - 18

E = 15

M = 15 + 24 = 15 + 24 = 39

From (4) F = E - A = 15 - 4 = 11

From (1) D = M + 8 = 39 + 8 = 47

So, their ages are Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

Step-by-step explanation:

you muiltiply k^ 4x7

k^28

Solution

We have the following info:

x y

1 4

2 8

3 14

4 19

The relationship is:

y= 5x-1

If we look for the second row we have this:

y= 5*2 -1 = 10 -1= 9

Then we can conclude that the incorrect value is:

x=2

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Hey there!

6 = 9(2 + 3)

9(2 + 3) = 6

9(2) + 9(3) = 6 ⬅️ possible answer

18 + 27 = 6 ⬅️ possible answer

45 ≠ 6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

C

Step-by-step explanation:

Given

sinR = \(\frac{5}{13}\) = \(\frac{opposite}{hypotenuse}\)

This is a 5- 12- 13 triangle with legs PQ = 5, QR = 12, hypotenuse PR = 13

cosR = \(\frac{adjacent}{hypotenuse}\) = \(\frac{QR}{PR}\) = \(\frac{12}{13}\)

The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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Based on the given statement, the correct answer would be:

option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.

The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.

Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.

Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.

On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.

Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.

In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.

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A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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Probability of people liking comedy movies = 1/6

Hence,

If total number of people are 90, then the number of people liking comedy movies = 90/6 = 15

If total number of people are 180, then the number of people liking comedy movies = 180/6 = 30

If total number of people are 270, then the number of people liking comedy movies = 270/6 = 45

If total number of people are 360, then the number of people liking comedy movies = 360/6 = 60

Let the x-axis represent the total number of people and,

The y-axis represent the number of people liking comedy films.

The function will be :-

f(x) = x/6 , where x is the total number of people.

The graph is attached.

Answer:

I have made it in above picture

With the informations given by the question, we have the following diagram:

To calculate the height, we have the following trigonometric relation(since it is a right triangle):

Just solving for 'h':

With this, we have our height. The height of the kite is 363.7 ft

The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.

A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Explanation:

The requested ratio is\(\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\]\)

Using the formula for a geometric series, we have\(\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\]\)

which is very close to \($\dfrac{10^{10}}{9},$\) so the ratio is very close to 9.

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Answer:

jimmy took 2 1/4 hours

Step-by-step explanation:

just add both fractions

(3/2) + (3/4) = 9/4 = 2 1/4 hours

Step-by-step explanation:

We need to add 3/4 of an hour to Alan's time.

Let's put Alan's time into a pure fraction.

\(1\frac{1}{2} = \frac{2}{2}\frac{1}{2} = \frac{3}{2}\)

Now we can add 3/4 to 3/2.

First, we need to find a common denominator (the bottom number).

4 and 2 is easy. The common denominator is 4. So let's solve it.

\(\frac{3}{2} * \frac{2}{2} = \frac{6}{4}\)

\(\frac{6}{4} + \frac{3}{4} = \frac{6+3}{4}\)

Step-by-step explanation:

for the given value x = -2

= 3(2x-4) + x^2 +5

= 3(-4 -4) +4+5

= -24+9

= -15