Write a real world problem that you could represent with the equation 20 - n = 4. Solve the equation to find the answer to your problem

Answer:

Watch tv or play a game that's would help

Step-by-step explanation:

Answer:

Multiple steps and time.

Step-by-step explanation:

Looking at things in a positive way, even if it is a small daily thing will gradually help create a growth mindset.

The height of the tower is 600 feet

What is angle of elevation and the angle of depression?

Angle of elevation: The angle of elevation is the angle produced by the line of sight with the horizontal when the item is above the horizontal level.

Angle of depression: The angle of depression is the angle produced by the line of sight with the horizontal when the item is below the horizontal level.

Let's call the height of the tower "h".

Using trigonometry, we can set up equations based on the angles of elevation and depression:

tan 38° = h / 300

tan 29° = (h - 300) / 300

Solving for h,

h = 300 * tan 38°

h = 300 * 0.8192

h = 245.76

Now,

300 * tan 29° = (h - 300) / 300

300 * 0.5672 = (h - 300) / 300

h - 300 = 300 * 0.5672 / 0.5672

h - 300 = 300

h = 600

So, The height of the tower is 600 feet, rounded to 2 decimal places.

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The standard deviation of the sampling distribution nearest to two decimal places is 4.36.

Random sample is something that is selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

Let X be a random variable representing the number of American adults who will not sit on a public toilet seat.

The mean of the sampling distribution is given by:

μ = np = 51 × 0.29 = 14.79

The standard deviation of the sampling distribution is given by:

σ = √(npq) = √(51 × 0.29 × 0.71) = 4.36

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Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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6 cm.

Explanation:

Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.

The formula to find the area of a triangle is:

a

=

1

2

h

b

→

(

h = height

,

b= base

)

We know:

a

=

24

h

=

8

So we can substitute them in and find

b

:

24

=

1

2

(

8

)

b

Multiply by sides by 2 and then divide:

24

×

2

=

1

2

(

8

)

b

×

2

48

=

8

b

6

=

b

The base of the triangle is

6 cm.

ur welcome ♥️♥️

Okay, here we have this:

Considering the provided table, we are going to analize if the table shows direct variation, so we obtain the following:

To identify if there is direct variation then we will calculate the ratios between the points, and if they are all the same then the table does show direct variation, then we have:

y=kx

k=y/x

5/2=2.5

45/18=2.5

80/30=2.66

Since the ratios between the points are not the same, then it does not represent a direct variation.

I would say  divide 3/5 by 1/10

Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

1. The volume of the black bag is 1728 cubic inches. 2. The volume of the blue bag is 2700 cubic inches. 3. The black bag will fit in the Check Box. 4. The bigger suitcase is 27 times larger than the smaller suitcase.

Volume, which is commonly expressed in cubic units, is the amount of space occupied by a three-dimensional object. By multiplying an object's length, breadth, and height, as well as other formulas depending on the shape of the object, one can get the volume of the thing. Volume is a key concept in many practical applications, including calculating container capacity, constructing structures, and estimating the amount of material required for a construction project. Volume is utilised in many branches of mathematics, science, and engineering.

For the given dimensions of the bags we have:

1. The volume of the black bag is:

18 x 12 x 8 = 1728 cubic inches

2. The volume of the blue bag is:

18 x 15 x 10 = 2700 cubic inches

3. The black bag will definitely fit in the Check Box because its volume of 1728 cubic inches is less than the volume of the Check Box, which is 2772 cubic inches.

4. The ratio of bigger suitcase to smaller suitcase is:

75 x 20 x 18 = 27000 cubic inches

25 x 8 x 9 = 1800 cubic inches

27000 / 1800 = 27

The bigger suitcase is 27 times larger than the smaller suitcase.

5. Now, if the watermelons is about 10 inches long and 9 inches wide, then its height would be:

720 = 10 x 9 x H

720 = 90H

H = 8 inches

The maximum amount of watermelons that can fit are:

27000 / 720 = 37.5 watermelons = 37 watermelons.

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Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

11/15

Step-by-step explanation:

3/5 / 9/11

keep, change, flip

3/5 x 11/9

3/5 x 11/9 = 33/45

then simplify

33/45 / 3

11/15

9514 1404 393

Answer:

  11/15

Step-by-step explanation:

There are three ways you can solve a problem involving division of fractions.

1) Remember that division is the same as multiplication by the reciprocal. (This is true for any division, not just division of fractions.) The reciprocal of 9/11 is 11/9 (turn it upside down). Then ...

  \(\dfrac{3}{5}\div\dfrac{9}{11}=\dfrac{3}{5}\times\dfrac{11}{9}\)

To multiply fractions, the products of numerators and denominators become the numerator and denominator of the product. We can factor 3 from the denominator here and use that to cancel a factor of 3 in the numerator.

  \(=\dfrac{3\times11}{5\times9}=\dfrac{3\times11}{3\times5\times3}=\dfrac{3}{3}\times\dfrac{11}{15}=\dfrac{11}{15}\)

The product fraction is 33/45, but each of these numbers has a factor of 3. Those common factors in numerator and denominator can cancel to reduce the fraction to lowest terms. The result is 11/15.

__

2) Each fraction can be expressed using a common denominator. Here, that can be 5×11 = 55.

  \(\dfrac{3}{5}\div\dfrac{9}{11}=\left(\dfrac{3}{5}\cdot\dfrac{11}{11}\right)\div\left(\dfrac{9}{11}\cdot\dfrac{5}{5}\right)=\dfrac{33}{55}\div\dfrac{45}{55}\)

When the fractions have a common denominator, their quotient is the quotient of the numerators.

  \(=\dfrac{33}{45}=\dfrac{3}{3}\times\dfrac{11}{15}=\dfrac{11}{15}\)

The result is 11/15.

__

3) Each fraction can be expressed using a common numerator. Then the quotient is the reciprocal of the quotient of denominators.

  \(\dfrac{3}{5}\div\dfrac{9}{11}=\left(\dfrac{3}{5}\cdot\dfrac{3}{3}\right)\div\dfrac{9}{11}=\dfrac{9}{15}\div\dfrac{9}{11}=\dfrac{11}{15}\)

The result is 11/15.

Note this method is rarely used. You can see how it works if you compare to the first method (9/15)÷(9/11) = (9/15)×(11/9) = (9×11)/(9×15) = 11/15.

Answer:

-by-step explanation:

The result:

1. 1 3/4 = 7/

4

= 1 3/

4

= 1.75

2. is 4

We are looking for the total amount of the solution. We only know part of it, that there are 18 milliliters of the alcohol. We also know that the alcohol makes up only 60% of the solution.

To find the whole, we can set up a proportion using the information given.

60 / 100 <--- This is our percentage, which we were given.

18 / x <--- This is the part (alcohol - 60%) over the whole, which we don't know and which also corresponds to the 100.

Therefore, our proportion is as such:

60 / 100 = 18 / x

To solve, cross-multiply.

100 * 18 = 60 * x

1800 = 60x

x = 30 total milliliters of the solution

Hope this helps!

upandover has a great solution. Here's a slightly different approach.

x = total amount of solution (consisting of water and alcohol mixed)

0.60x = 60% of x = amount of pure alcohol

0.60x = 18 since we have 18 mL of pure alcohol

Divide both sides by 0.60 to isolate x

0.60x = 18

x = 18/0.60

x = 30

Answer:  30 mL of total solution (alcohol + water).

Answer:

\( t = 4x \)

Step-by-step explanation:

We are given that in 1 month, Jessica takes 4 business trips. Take 4 as our coefficient or constant.

Let t be the total number of business trips Jessica has taken.

For 1 month, 4 trips are taken.

For x months, total business trips taken will be expressed as,

\( t = 4x \)

Let's say for example, we have 5 months in a row, i.e. x = 5. Total business trips taken by Jessica can be gotten by simply plugging in the value of x.

\( t = 4(5) = 20 trips \)

In 5 months in a row, Jessica takes 20 business trips.

The length of the square in centimetres in algebraic expression is 25m

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

Therefore,

m = 4l

where

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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Function graph that has y- intercept of 3 is g(x) = 3\((\frac{1}{4}) ^{x}\).

y- intercept will be 3 when we will put value of x = 0 and y will be 3 that graph will have y intercept 3

A) h(x) = 5\((2)^{x}\)

when x = 0

Any number with zero power is always 1

h(x) = 5

B) h(x) = 5\((0.5)^{x}\) + 0.5

when x = 0

h(x) = 5 + 0.5

h(x) = 5.5

C) g(x) = 3\((\frac{1}{4}) ^{x}\)

when x = 0

g(x) = 3

Here we get y intercept as 3.

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Answer:

The answer is below

Step-by-step explanation:

a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.

the perimeter of a rectangle is given as:

Perimeter = 2(length + width) = 2(l + w)

Hence;

400 = 2(l + w)

200 = l + w

l = 200 - w

The area of a rectangle is given as:

Area = length × width

Area = (200 - w) × w

Area = 200w - w²

b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a

Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:

w = -b/2a = -200/2(-1) = -200/-2 = 100

A width of 100 yard has the largest area

c) l = 200 - w = 200 - 100 = 100 yards

Area = l × w = 100 × 100 = 10000 yd²

The maximum area is 10000 yd²

If the assumptions are true, the conclusion is correct.

We are informed that

Each of customers 1 and 2 purchases products X and Z.

Customers who purchase product Z are never offered product Y.

The resulting conclusion is that Customers 1 and 2 are never sold Product Y.

According to the information provided, Customer 1 purchased Products X and Z.

Client 2 purchased Products X and Z.

Customers of product Z are unable to purchase product Y.

Therefore, it is obvious that neither customer can buy product Y when they both purchased Z.

Therefore, the conclusion is correct if the presumptions are true.

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SOLUTION:

Step 1:

In this question, we are given the following:

Identify the area of a regular hexagon with a side length 14 in. rounded to the nearest tenth.

Step 2:

The details of the solution are as follows:

CONCLUSION:

Answer:

Ext angle = 93°

Step-by-step explanation:

The angle marked 4x + 9 is the exterior angle. The other two marked angles are interior angles. They are, moreover, "remote interior angles" because they are away from the exterior angle.

So here's how to set up an equation:

the two remote interior angles added together equal the exterior angle.

2x + 3x - 12 = 4x + 9

Combine like terms.

5x - 12 = 4x + 9

Subtract 4x

x - 12 = 9

Add 12

x = 21

The exterior angle is:

4x + 9

= 4(21) + 9

= 84 + 9

= 93

Given:

Number is 86.24

Find-:

Tenth place of a number

Explanation-:

The hundredth place of the number is 86.24

Tenth place defines as one decimal pace of a number.

86.24

The last digit of the number is less than 5

So, the tenth place of the number is:

So the number is 86.2

Answer:

Step-by-step explanation:

Range is largest value - smallest value. 12-3=9! EZ

Answer:

The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.

The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).

Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.

Answer: False.

Step-by-step explanation: Music in a video game could always be turned off. Also, if you're into the gameplay itself, you shouldn't be focused on the music.

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

=8.33333333

Step-by-step explanation:

kinda hard tho

Answer:

\(b=3/11\)

Step-by-step explanation:

\(-3b+11=8b+8 \\ \\ 11b+8=11 \\ \\ 11b=3 \\ \\ b=3/11\)