What is the slope of the line that contains the points (-2,5) and (6-3)

Answer:

steps in attached picture

Step-by-step explanation:

Answer:

I don't know how to explain the math, but I know the answer is 115 women for every 100 men.

Answer:

  about 115 women

Step-by-step explanation:

You need to raise the value on the left side of the ratio by a factor of 100/87. Multiply both numbers by that factor, and you get ...

  (100/87)(87) : (100/87)(100)

  = 100 : (10,000/87) = 100 : 114.9425...

  ≈ 100 : 115

There are about 115 women for each 100 men.

Answer:

72.64°

Step-by-step explanation:

Tan θ 16/5

θ= tan-1 (16/5)

=72.64°

The the angle of elevation from the point the dog is standing on the ground to the cat is 72.6 degrees

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have given that a dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree

We have to find the angle of elevation

We can see in a figure.

What is the angle of elevation?

The angle between the horizontal line of sight and the object.

Use inverse trig because we are finding a missing angle.

use tan because we have given height of tree (one side) and a distance between dog and tree(second side)

TanΘ = opposite/adjacent

Apply inverse of tan both sides,

Θ = [tex]tan^{-1}[/tex](16/5)

Θ = 7.26

Therefore,

The the angle of elevation = 72.6 degrees

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Answer:

7/1

Step-by-step explanation:

simplify top and bottom by 3

Answer: 100 - 24x

Step-by-step explanation:

The formula for calculating the perimeter of a square is given by :

P = 4l , where l is the length of the side.

Perimeter of square A will be

P = 4 ( 2x - 7 )

P = 8x - 28

Perimeter of square B will be ;

P = 4 ( -4x + 18 )

P = - 16x + 72

Perimeter of square B - Perimeter of square A implies

-16x + 72 - ( 8x - 28 )

-16x + 72 - 8x + 28

collecting the like terms

-16x - 8x + 72 + 28

-24x + 100

⇒ 100 - 24x

Answer: 5

On god bro, Trust me

The diameter of a circle with a circumference of 15 meters, using 3 for pi, is 5 meters.

To determine the diameter of a circle when given its circumference and using 3 as the approximation for pi, you can use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter. Since we're using 3 for pi (π), when C = 15 meters, the formula becomes 15 = 3d. To find the diameter, divide both sides of the equation by 3, giving us d = 15 / 3, which equals 5 meters.

Answer: For every 5 quarts of blue, you should have 3 quarts of yellow. Since you have 25 quarts of blue in the mix (5*5), there should be 3*5 or 15 quarts of yellow. As there are only 9, you need to add 6 quarts of yellow to get the proper ratio of blue to yellow.

Step-by-step explanation:

Final answer:

To create the specific shade of green glaze, one must adjust the existing mix of 25 quarts blue and 9 quarts yellow to reach a 5:3 blue to yellow ratio. The calculation shows that an additional 6 quarts of yellow glaze are needed to achieve the desired shade.

Explanation:

To achieve the specific shade of green glaze, which is made of 5 parts blue to 3 parts yellow, we must adjust the current mixture of 25 quarts blue glaze and 9 quarts yellow glaze. We first determine the ratio of blue to yellow glaze in the current mixture:

25 quarts blue / 9 quarts yellow = approximately 2.78 parts blue to 1 part yellow.

To achieve the desired 5:3 ratio, the blue glaze needs to be reduced or the yellow glaze needs to be increased. Since removing material can be difficult, we focus on adding yellow glaze. Using the proportion method:

5 parts blue / 3 parts yellow = 25 parts blue / x parts yellow

We cross-multiply and solve for x, the amount of yellow glaze needed:

5x = 75 → x = 15

Therefore, we would need 15 parts of yellow glaze to match 25 parts of blue glaze. Since we already have 9 parts (quarts) of yellow glaze, we need to add:

15 - 9 = 6 quarts of yellow glaze.

Finally, add 6 more quarts of yellow glaze to achieve the specific shade of green glaze.

Answer:168 minutes

Step-by-step explanation:

14 / 5=2.8 x60=168

Answer:

d. The second angle is 116, and the third angle is 29°

Step-by-step explanation:

second unknown angle be x

the other unknown angle = 4*x = 4x

x+ 4x + 35 = 180  {sum of all angles of triangle}

5x = 180-35 = 145

x = 145/5

x = 29

the other unknown angle = 4x = 4*29 = 116

Answer:

Therefore the value of 'y' is,

[tex]y=3[/tex]

Step-by-step explanation:

Given:

[tex]10y-50=-20[/tex]

To Find:

y= ?

Solution:

[tex]10y-50=-20[/tex]    ........Given

Step 1. Adding 50 to both the side we get

[tex]10y-50+50=-20+50\\10y=30[/tex]

Step 2. Dividing by 10 on both the side we get

[tex]\dfrac{10y}{10}=\dfrac{30}{10}\\\\y=3[/tex]

Therefore the value of 'y' is,

[tex]y=3[/tex]

Here are the solutions to the inequalities:

[tex]1. \(x < \frac{1}{4}\)[/tex]

[tex]2. \(x > 1\)[/tex]

[tex]3. \(x < \frac{1}{2}\)[/tex]

[tex]4. \(x < \frac{-1}{7}\)[/tex]

[tex]5. \(x > 15\)[/tex]

[tex]6. \(x < \frac{3}{8}\)[/tex]

[tex]7. \(s < -2\)[/tex]

[tex]8. \(s > 1\)[/tex]

[tex]9. \(t < 2\)[/tex]

[tex]10. \(x < 11\)[/tex]

[tex]11. \(x > 12\)[/tex]

[tex]12. \(x < 16\)[/tex]

[tex]13. \(r < 4\)[/tex]

[tex]14. \(s > 36\)[/tex]

[tex]15. \(x < 7\)[/tex]

Of course, I'd be happy to help you solve these inequalities! Let's go through each one step by step:

[tex]1. \(-8x + 2 > 0\)[/tex]

  First, let's isolate x:

[tex]\(-8x > -2\)[/tex]

  Divide both sides by -8, and remember to reverse the inequality sign:

[tex]\(x < \frac{-2}{-8}\) \\\(x < \frac{1}{4}\)[/tex]

[tex]2. \(+5x > x + 4\)[/tex]

  Subtract x from both sides:

[tex]\(+4x > 4\)[/tex]

  Divide both sides by 4, and remember to reverse the inequality sign:

[tex]\(x > \frac{4}{4}\) \\ \(x > 1\)[/tex]

[tex]3. \(12x + 4 < 10\)[/tex]

  Subtract 4 from both sides:

[tex]\(12x < 6\)[/tex]

  Divide both sides by 12:

[tex]\(x < \frac{6}{12}\)\\ \(x < \frac{1}{2}\)[/tex]

[tex]4. \(-10x + 5 - 4 > 4x + 3\)[/tex]

  Combine like terms:

[tex]\(-10x + 1 > 4x + 3\)[/tex]

  Subtract 1 from both sides:

[tex]\(-10x > 4x + 2\)[/tex]

  Add 10x to both sides:

[tex]\(0 > 14x + 2\)[/tex]

  Subtract 2 from both sides:

[tex]\(-2 > 14x\)[/tex]

  Divide both sides by 14, and remember to reverse the inequality sign:

[tex]\(x < \frac{-2}{14}\) \\\(x < \frac{-1}{7}\)[/tex]

[tex]5. \(6x + 5 < 7x - 10\)[/tex]

  Subtract 6x from both sides:

 [tex]\(5 < x - 10\)[/tex]

  Add 10 to both sides:

  [tex]\(15 < x\)[/tex]

6.[tex]\(24x - 4 < 8x + 2\)[/tex]

  Subtract 8x from both sides:

  [tex]\(16x - 4 < 2\)[/tex]

  Add 4 to both sides:

  [tex]\(16x < 6\)[/tex]

  Divide both sides by 16:

 [tex]\(x < \frac{6}{16}\) \\\(x < \frac{3}{8}\)[/tex]

7. [tex]\(-3s + 3 > 9\)[/tex]

  Subtract 3 from both sides:

  -3s > 6

  Divide both sides by -3, and remember to reverse the inequality sign:

  [tex]\(s < \frac{6}{-3}\) \\ \(s < -2\)[/tex]

8. [tex]\(4s + 2s > 6\)[/tex]

  Combine like terms:

  6s > 6

  Divide both sides by 6:

 [tex]\(s > \frac{6}{6}\) \\ \(s > 1\)[/tex]

9. [tex]\(6t < 12\)[/tex]

  Divide both sides by 6:

 [tex]\(t < \frac{12}{6}\)\\ \(t < 2\)[/tex]

10. 11x < 121

   Divide both sides by 11:

   [tex]\(x < \frac{121}{11}\)\\ \(x < 11\)[/tex]

11. 3x > 36

   Divide both sides by 3:

  [tex]\(x > \frac{36}{3}\) \\ \(x > 12\)[/tex]

12. 25x < 400

   Divide both sides by 25:

   [tex]\(x < \frac{400}{25}\) \\\(x < 16\)[/tex]

13. [tex]\(16r < 8(8)\)[/tex]

   Simplify the right side:

   16r < 64

   Divide both sides by 16:

   [tex]\(r < \frac{64}{16}\) \\ \(r < 4\)[/tex]

14. 6s > 216

   Divide both sides by 6:

  [tex]\(s > \frac{216}{6}\) \\ \(s > 36\)[/tex]

15. 9x < 63

   Divide both sides by 9:

  [tex]\(x < \frac{63}{9}\) \\ \(x < 7\)[/tex]

Answer:

6.601

Step-by-step explanation:

16.1(0.41)

Answer:

The area of ABCD = 12² = 12 * 12 = 144 m²

Step-by-step explanation:

Given that ABCD in the model, is a square.

All the edges of the pyramid in the model have length 12m.

So, the length of one side of the square = 12 m

The area of the square = (side length)²

∴ the area of ABCD = 12² = 12 * 12 = 144 m²

Answer:

Its 144m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x = 39.....so instead of just subbing in all ur answer choices....just solve for x

3x = 39...divide both sides by 3, cancelling out the 3 on the left side

x = 39/3

x = 13 <=====

The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.

Let's say we had the expression [tex]5^3[/tex]

The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.

The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so

[tex]5^3 = 5*5*5 = 125[/tex]

With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.

An exponent signifies how many times a base is multiplied by itself. The expression "5 squared" (5²) means 5 x 5 = 25. Similarly, "5 cubed" (5³) means 5 x 5 x 5 = 125. This concept of exponentiation is essential in mathematics for representing repeated multiplication of a number.

An exponent indicates the number of times a base is multiplied by itself. For example, the exponent "2" in the expression "5²" means that the base "5" is multiplied by itself, resulting in 5 x 5 = 25. This is also known as squaring a number. Similarly, an exponent of "3" denotes cubing, which means the base is multiplied by itself three times. For instance, 5³ equals 5 x 5 x 5, which equals 125.

It's also important to understand that when we talk about exponents, we are often referring to powers. If the base is "b" and the exponent is "n", then the expression can be written as bn, indicating a chain of multiplications of "b", "n" times. For instance, witnessing an expression like (10²)³, we multiply the exponents to get a new exponent (2 x 3 = 6), resulting in 10⁶.

The concept of exponents is a foundational element in various mathematical operations and is crucial for understanding more complex mathematical concepts.

Answer:

2x^2 + 3x + 4

Step-by-step explanation:

generally, using long division,

(2x^3-3x^2-5x-12)/(x-3) = 2x^2 + 3x + 4

Answer:

2x^2 + 3x + 4

Step-by-step explanation:

generally, using long division,

(2x^3-3x^2-5x-12)/(x-3) = 2x^2 + 3x + 4

Answer:

Step-by-step explanation:

What's the question?

s(t(-5)) First find t(-5), since you know x = -5, substitute/plug in -5 for x in t(x) = 5x - 4

t(x) = 5x - 4

t(-5) = 5(-5) - 4

t(-5) = -25 - 4

t(-5) = -29

s(t(-5)) plug in -29 for t(-5)

s(-29) = -3(-29) - 2 (- times a - equals a positive)

s(-29) = 87 - 2

s(-29) = 85

Your answer is 85

Answer:

-120

Step-by-step explanation:

-60/1/2 = -60/1 x 2

= -120/1

= -120

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n°            = 1980° + 360°

                    = 2340

To find n, divide by 180 which is the coefficient of n

               n   = ²³⁴⁰/₁₈₀

                    = 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle  = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

                 ³⁶⁰/n

                = ³⁶⁰/₁₃

                = 27.69⁰

Answer:

Sides: 13 sides

Measure of each angle: 152.3

Step-by-step explanation:

Since we know the sum of the measures of the interior angles of a convex polygon to be 1,980, we can use the angle-sum theorem formula:

(n-2)180=?

to get our answer.

Equation:

(13-2)180 = 1,980

From here we continue using the angle sum theorem but instead with the intent of finding the measure of each individual interior angle (They will all be equal to the same degree)

Use formula

(n-2)180

     n

Equation:

(13-2)180

     13

This will give you the answer 152.3.

Sorry if this doesn't explain everything correctly or enough, but I hope I helped. :D

(Btw, if you want more of an explanation as how to properly use formulas to get the number of sides, you can go and check out the answer before mine! It really helps, this answer was mainly to just explain the second answer the way I did it that gave me the correct answer!)

Answer: $115

Step-by-step explanation:

The overhead cost for the insurance company to insure a driver, given a 4.2% accident probability and an average accident cost of $29,500, with the premium of $1,354, is $115.

The subject matter is on determining the overhead cost for an insurance company. The probability of a driver having an accident is 4.2% or 0.042 in decimal. The cost of an accident is $29,500. Therefore, the expected cost of a claim is 0.042 * $29,500 = $1,239. The insurance premium paid by the driver is $1,354. The overhead cost for the company is the premium minus the expected cost of claim. So, the overhead cost is $1,354 - $1,239 = $115. Therefore, the answer is C. $115

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Answer: one solution

Step-by-step explanation: Given :

2x + 3y = -3 ........................... equation 1

3x + 5y = -9 ........................... equation 2

Solving the system of linear equation by elimination method. We will multiply equation 1 by 3 and equation 2 by 2, then we have

6x + 9y = -9 ........................ equation 3

6x + 10y = -18 .................... equation 4

Subtract equation 3 from equation 4 , ten we have

y = -9

substitute y = -9 into equation 1 to find the value of x , that is

2x + 3y = -3

2x + 3 ( -9 ) = -3

2x - 27 = -3

2x = -3 + 27

2x = 24

x = 12

Therefore , x = 12 and y = -9 . This means that the system has one solution since there is only one value for x and one value for y

Answer:

60%

Step-by-step explanation:

To find the percentage of successful basketball shots, divide the number of made shots by the total number shots taken, then multiply by 100. In Hakeem's case, his shooting percentage is approximately 61%.

This is a question about calculating a percentage, which is a basic concept in Mathematics. Percentages are a way of expressing a number or proportion as a fraction of 100. In this case, Hakeem made 17 out of 28 basketball shots. This can be expressed as a fraction – 17/28. To convert this fraction into a percentage, you simply multiply it by 100.

Here is the calculation: (17 / 28) * 100 = 60.71. Therefore, Hakeem made approximately 61% of his basketball shots.

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Answer:

First you have to find out how many he paints in 1 week.

Divide 91/7

You should then have 13 as your answer.

Then do 13 times 4 which would equal 52.

4 weeks = 52 portraits

If you want to see if it is right you can add 13 from 52 and once your at 7 you'll have 91.

Hope this helps! :)

Answer:

A. x+3y =4

A. 3x-y=5

B. x+2y-z =8

B. X-Y+22 =0

B. 2X-3Y+Z =1

Step-by-step explanation:

To determine which linear systems have unique solutions, calculate the determinant of the coefficient matrix for each system.

In order to determine which of the given linear systems have unique solutions, we need to use the determinant of the coefficient matrix.

To do this, we need to calculate the determinant of the 3x3 coefficient matrix for each system:

System 1:
0x + 3y = 4
3x - y = 5
x + 2y - z = 8

Determinant = (0) (-1) (-2) + (3)(1)(1) + (1)(3)(1) - (3)(-1)(1) - (1)(3)(-2) - (0)(2)(1) = 18

Since the determinant is non-zero (18), System 1 has a unique solution.

Similarly, we can calculate the determinants for the other systems to determine their solutions.

System 2: determinant = -88

System 3: determinant = -48

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Let [tex]\( x \)[/tex] be the number of CDs. The equation representing the statement "1 more than twice as many CDs is 17" is [tex]\( 2x + 1 = 17 \).[/tex]

Let's break down the statement into a mathematical expression. "Twice as many CDs" is represented by [tex]\( 2x \)[/tex]. Adding "1 more than" to this gives [tex]\( 2x + 1 \)[/tex]. Finally, the statement "is 17" translates to [tex]\( 2x + 1 = 17 \),[/tex] creating the equation that represents the given information.

The complete question is: Explain the statement "1 more than twice as many CDs is 17"

Answer: exactly 100

Step-by-step explanation:

Answer:

500 CDs

Step-by-step explanation:

We have the ratio of [tex]15:6[/tex] for each worker. If you have a 40 hour work week, we can assume that they work 5 days a week. This means they have a 5*40=200 hours to work. If we multiply the ratio to get [tex]x:200[/tex]while it still equals our first one, we multiply and get 500 CDs.

It sounds like D) technology is the best fit here.

Technology is used to help provide people with the things they need, for example clean water.

Answer:

For the given question,the equation of the asked line would be same as that of the line parallel to it but the only difference would be in the constant part.

Step-by-step explanation:

the equtions of the lines (variable parts) would be the same but the constant part will be different according to the point known on the particular line.