Subtract 11 from n. Then, divide by 4.

Answer:

y = 4x

Step-by-step explanation:

Using two points, (1, 4) and (2, 8),

Slope = \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - 4}{2 - 1} = \frac{4}{1} = 4 \)

m = 4

Substitute m = 4, x = 1, and y = 4 into y = mx + b.

Thus:

4 = (4)(1) + b

4 = 4 + b

4 - 4 = b

0 = b

b = 0

To find the equation, substitute m = 4 and b = 0 into y = mx + b

Thus:

y = (4)(x) + 0

y = 4x

This question is of a topic called subset that is a part of set theory.

statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.

I assume the questioner has the basic understanding of set theory and what subsets are.

Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.

Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }"  that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set

{11, 13, 15} is not equal to set  { 11, 12, 13, 14, 15, 16, ... }.

statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.

statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.

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The set of results that could not have been drawn from the bag is 3, 5, 5.

Let's assume there are three balls in the bag, labeled A, B, and C. The possible combinations are:

ABC, ACB, BAC, BCA, CAB, CBA

Now, let's analyze each set of results:

2, 3, 7: This set of results could have been drawn from the bag. For example, if A = 2, B = 3, and C = 7, the results would be 2, 3, 7.

10, 4, 3: This set of results could have been drawn from the bag. For example, if A = 10, B = 4, and C = 3, the results would be 10, 4, 3.

3, 5, 5: This set of results could not have been drawn from the bag, because there is only one ball labeled 3 in the bag. Therefore, it is impossible to draw two balls labeled 5 and one ball labeled 3.

8, 6, 10: This set of results could not have been drawn from the bag, because there is no ball labeled 8 in the bag. Therefore, it is impossible to draw a ball labeled 8.

So, the set of results that could not have been drawn from the bag is 3, 5, 5.

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∠13 = 70.5° [Vertically Opposite angles]

∠13+∠14=180° [Linear pair]

70.5°+∠14=180°

∠14=180-70.5

∠14=109.5

∠15=∠14=109.5 [Vertically opposite angles]

∠13=∠12= 70.5° [Co-interior angles]

∠12=∠10= 70.5° [Vertically Opposite angles]

∠14=∠11=109.5 [Co-interior angles]

∠9=∠11= 109.5 [Vertically opposite angles]

∠13=∠7= 70.5° [Alternate interior angles]

∠7=∠5=70.5° [Vertically Opposite angles]

∠7+∠8=180° [Linear Pair]

70.5+∠8=180

∠8=180-70.5

∠8=109.5°

∠8=∠6= 109.5° [Vertically Opposite angles]

∠6=∠3=109.5° [Co-interior angles]

∠7=∠2=70.5° [Co-exterior angles]

∠2=∠4= 70.5° [Vertically Opposite angles]

∠3=∠1= 109.5° [Vertically Opposite angles]

\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)

Answer:

Angles 1, 3, 5, 7, 9, 11 and 13 = 70.5°

Angles 2, 4, 6, 8, 10, 12, 14 and 15 = 109.5°

Step-by-step explanation:

Angle Theorems used:

Angles 1, 3, 5, 7, 9, 11 and 13 = 70.5°

180 - 70.5 = 109.5°

Angles 2, 4, 6, 8, 10, 12, 14 and 15 = 109.5°

Answer:

the answer is b

Step-by-step explanation:

brainliest pleasee?

The length of the segment is 2.4 centimeters.

The scale is 2.4 cm :24 mm.

How to change mm to cm?

One millimeter, or one-thousandth of a meter, is equal to one mm. One centimeter, also known as one hundredth of a meter, is equal to one centimeter.

Accordingly, 1 cm 10 mm. Divide the number of mm by 10 to get the number of cm when converting mm to cm.

Given that length of the segment is 24mm. now we know that,1 mm is equal to 0.1 cm,

So,

\(10 \: mm=1 \: cm \\ or, \: 1 \: mm = \frac{1}{10} \: cm \\ or, 24 \: mm × ( \frac{1}{10} ) = 2.4 \: cm.\)

The scale is 2.4 cm :24 mm.

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The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Usando un sistema de ecuaciones, hay que se elaboraron 6 títulos y 16 actas.

Para el sistema, hay que:

Total de 22 operaciones, o sea:

\(x + y = 22\)

$3500 por elaborar un título de propiedad y $2000 por el acta constitutiva de una empresa. Ingreso total de $53000, o sea:

\(3500x + 2000y = 53000\)

De el primer ecuación:

\(y = 22 - x\)

Reemplazando en la segunda:

\(3500x + 2000y = 53000\)

\(3500x + 2000(22 - x) = 53000\)

\(1500x = 9000\)

\(x = \frac{9000}{1500}\)

\(x = 6\)

\(y = 22 - x = 22 - 6 = 16\)

Se elaboraron 6 títulos y 16 actas.

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Answer:

The standard deviation is  \(\sigma = 24.10\)

Step-by-step explanation:

From the question we are told that

     The proportion of those that suffer from insomnia is  p  =  6%  =  0.06

      The  sample size is  n =  10300

Generally the proportion of those that do not suffer from  insomnia is mathematically represented as

               \(q = 1-p\)

substituting values

               \(q = 1 -0.06\)

               \(q = 0.94\)

Generally the standard deviation is mathematically evaluated as

         \(\sigma = \sqrt{n * p * q }\)

substituting values

         \(\sigma = \sqrt{ 10300 * 0.06 * 0.94 }\)

        \(\sigma = 24.10\)

Using the binomial probability concept, the standard deviation of the number of people who suffer from insomnia is 24.10

Recall :

Substituting the values into the equation :

\( standard \: deviation, σ = \sqrt{10300 \times \: 0.06 \: (1 - 0.06)} \)

\( standard \: deviation, σ = \sqrt{10300 \times \: 0.06 \: 0.94} \)

\( standard \: deviation, σ = \sqrt{580.92} = 24.10\)

Hence, the standard deviation is 24.10.

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The side length of the new square will be 9 inches.

The scale factor of a dilation is a factor that affects the length of the square and invariably the area.

Given that the square has a side length of 12 inches and the dilation factor is 3/4.

The side length of the new square will be the product of the scale factor and the length of the original shape.

The length of new square = 12 × 3/4    

= 9 inches

Hence, The side length of the new square will be 9 inches.

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Answer:

14

Step-by-step explanation:

Absoloute value means the distance from 0, so the distance of -14 from 0 is 14

Answer:

absolute value:14

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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Answer:

-2,1,6,13,22

Step-by-step explanation:

cn = n^2 -3

Let n=1

c1 = 1^2 -3 = 1-3 = -2

Let n=2

c2 = 2^2 -3 = 4-3 = 1

Let n=3

c3 = 3^2 -3 = 9-3 = 6

Let n=4

c4 = 4^2 -3 = 16-3 = 13

Let n=5

c5 = 5^2 -3 = 25-3 = 22

hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((

Answer:

A

Step-by-step explanation:

If the point (0, –6) is under the same translation, the image of the point would be (-3, -11)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are translation, reflection and rotation.

The image of the point (-8, -9) under a translation is (-11, -14). The rule of the transformation is (x, y) ⇒ (x - 3, y - 5)

If the point (0, –6) is under the same translation, the image of the point would be (-3, -11)

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Step-by-step explanation:

x = apples picked from the tree

x1 = x/2 + 2

x2 = (x - x1)/2 + 2 = (x - (x/2 + 2))/2 + 2 =

= (x - x/2 - 2)/2 + 2 = (x/2 - 2)/2 + 2 =

= x/4 - 1 + 2 = x/4 + 1

x3 = (x - x1 - x2)/2 + 2 = (x - (x/2 + 2) - (x/4 + 1))/2 + 2 =

= (x - x/2 - 2 - x/4 - 1)/2 + 2 =

= (x/4 - 3)/2 + 2 = x/8 - 3/2 + 2 = x/8 + 1/2

x - x1 - x2 - x3 = 1

x - x/2 - 2 - x/4 - 1 - x/8 - 1/2 = 1

x/8 - 3 - 1/2 = 1

x/8 = 4 1/2 = 9/2

x = 9×8/2 = 9×4 = 36

she had originally 36 apples

x1 = 20

x2 = 10

x3 = 5

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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The amount of water the farmer can put in the tank increase when the larger tank is built is 106.33%.It takes 4days for the horses to drink all the water in the larger tank.

Percentage is a way of expressing a proportion or a fraction out of 100. It represents the number of parts per hundred of a quantity.

Dimension refers to a measurable aspect of an object or a system, such as length, width, height, depth, volume, area, or mass. In mathematics, dimension also refers to the number of coordinates required to specify a point in a space. For example, a two-dimensional shape like a square has two dimensions, length and width, while a three-dimensional object like a cube has three dimensions, length, width, and height.

To find the percentage increase in the amount of water the farmer can put in the larger tank, we need to calculate the volume of the original tank and the volume of the larger tank, and then compare the two.

The original tank has dimensions of 2 4/5 ft, 2 2/5 ft, and 2 1/2 ft. We can convert these mixed numbers to improper fractions for easier calculations:

2 4/5 ft = (2 x 5 + 4)/5 ft = 14/5 ft

2 2/5 ft = (2 x 5 + 2)/5 ft = 12/5 ft

2 1/2 ft = (2 x 2 + 1)/2 ft = 5/2 ft

The volume of the original tank is then:

Volume = Length x Width x Height = 14/5 ft x 12/5 ft x 5/2 ft

Now, the farmer plans to increase measurement  by 25%. To do this, we multiply each measurement by 1.25.

The dimensions of the larger tank would be:

Length = 14/5 ft x 1.25 = 3.5 ft

Width = 12/5 ft x 1.25 = 3 ft

Height = 5/2 ft x 1.25 = 3.125 ft

The volume of the larger tank is then:

Volume = Length x Width x Height = 3.5 ft x 3 ft x 3.125 ft

To find the percentage increase, we can compare the two volumes:

Percentage increase = ((Volume of larger tank - Volume of original tank) / Volume of original tank) x 100

Plugging in the values we found:

Percentage increase = ((3.5 ft x 3 ft x 3.125 ft - 14/5 ft x 12/5 ft x 5/2 ft) / (14/5 ft x 12/5 ft x 5/2 ft)) x 100

After calculating the above expression, we find that the percentage increase is approximately 106.33%. So, the amount of water the farmer can put in the larger tank will increase by approximately 106.33% when the larger tank is built.

Now, to find how many days it will take the horses to drink all the water in the larger tank, we can assume that the rate at which the horses drink water remains constant. Since the volume of the larger tank is approximately 106.33% more than the original tank, it will take the horses approximately the same amount of time to drink all the water in the larger tank, which is 4 days.

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Step-by-step explanation:

\(\triangle{ABC}\) is similar to \(\triangle{ADE}\) so we can write the ratio

\(\dfrac{x}{6+4} = \dfrac{2}{6}\)

Solving for x, we get

\(x = \left(\dfrac{2}{6}\right)(10) = \dfrac{10}{3}\)

The students failed 3 tests based on the set amounts, received amount and number of tests.

Let the number of failed tests be x. So, the number of passed tests will be 7x. Now, the relation between these tests will be represented as -

Marks of passed test × Number of passed tests + Marks of failed test × number of failed tests = total tests

As we know, 1 dollar is 100 cents

3.75 dollars = 100 × 3.75

3.75 dollars = 375 cents

25 × 7x - 50 × x = 3.75

Multiply the values on Left Hand Side of the equation

175x - 50x = 375

Add the values on Left Hand Side of the equation

125x = 375

Rewrite the equation

x = 375/125

Divide the values

x = 3

Hence, he failed 3 tests.

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Answer:

4.5 m

Step-by-step explanation:

if the two triangles are similar than it would mean that zy to xy is same ratio to cb to ab which means that the second triangle is only enlarge version of the first triangle. so divide 7.2 by 1.6 and multiply 1 to get the solution of 4.5

Answer:

yes i think

Step-by-step explanation:

Answer:
\(3x-2+\frac{5}{x}\)

Step-by-step explanation:

To divide the polynomial (9x^3 - 6x^2 + 15x) by the monomial 3x^2, we can write it as:

(9x^3 - 6x^2 + 15x) ÷ (3x^2)

To simplify the division, we divide each term of the polynomial by 3x^2:

(9x^3 ÷ 3x^2) - (6x^2 ÷ 3x^2) + (15x ÷ 3x^2)

To divide monomials with the same base, we subtract the exponents. So:

9x^3 ÷ 3x^2 = 9/3 * (x^3/x^2) = 3x^(3-2) = 3x

(-6x^2) ÷ (3x^2) = -6/3 * (x^2/x^2) = -2

15x ÷ 3x^2 = 15/3 * (x/x^2) = 5/x

Putting it all together, we have:

(9x^3 - 6x^2 + 15x) ÷ (3x^2) = 3x - 2 + 5/x

Therefore, the division of (9x^3 - 6x^2 + 15x) by 3x^2 is 3x - 2 + 5/x.

Answer:

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

-3x^2 - 8x + 15 is the expression after being subtracted.

Answer:

Step-by-step explanation:

(2x² − 6x + 7) − (5x²  + 2x +8)

To find the opposite of 5x²  + 2x + 8, find the opposite of each term.

2x²  − 6x + 7 − 5x²  − 2x − 8

Combine 2x²  and −5x²  to get −3x²

−3x²  − 6x + 7 − 2x − 8

Combine −6x and −2x to get −8x.

−3x² − 8x + 7 − 8

Subtract 8 from 7 to get −1.

−3x² − 8x − 1

Answer: 63

Step-by-step explanation:

From the question, we are informed that Steve sold 252 fruit basket for a school fundraiser while Evie aold 25 fruit baskets for each 100 baskets that Steve sold. This means that Evie sold 25/100 = 1/4 of what Steve sold.

Therefore, the number of fruit baskets sold by Evie will be:

= 1/4 × 252

= 63

Answer:

Count the cubes, this shape is 7 cm cubed. Each cube is 1 cubic unit.

The measure of angle MTU m∠MTU is 114 degree.

From the figure in the diagram:

Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.

Since, angle STU composes or is the sum of angle STM and angle MTU.

To find angle MTU, simply subract angle STM from angle STU.

m∠STU = m∠STM + m∠MTU

Hence:

m∠MTU = m∠STU - m∠STM

Plug in the given values and simplify

m∠MTU = 145° - 31°

Subtract 31 from 145

m∠MTU = 114°

Therefore, angle MTU measure 114°.

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