Write the sentence as an inequality.

The sum of twice a number n and 8 is less than 25

Answer:

QUESTION:

If you throw a six-sided number cube. then how many times will I get a 7

ANSWER:

This is a tricked question. You will never roll a 7 on a six-sided numbered cube unless you have 2 dice.

Step-by-step explanation:

Hope that this helps you out! :)      

If you have any questions please put them in the comment section below this answer.      

Have a great rest of your day/night!      

Please thank me on my profile if this answer has helped you.

Answer:

1 to 0

Step-by-step explanation:

Cause if there are 8 children and at least 7 are girls than that would be 1 to 0 are boys

The value of cos(45°) is √2/2. The correct answer choice is D. √2.

In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.

Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.

Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:

cos(45°) = x/(x√2) = 1/√2

Simplifying further, we rationalize the denominator:

cos(45°) = 1/√2 * √2/√2 = √2/2

Therefore, the value of cos(45°) is √2/2.

The correct answer choice is D. √2.

for such more question on angle

https://brainly.com/question/25716982

#SPJ8

The proportions are solved applying cross multiplication, as the example presented in this problem shows.

The basic format of a proportional relationship is of fractions separated by the equal sign, as follows:

a/b = c/d.

To solve the proportion, we apply cross multiplication, as the following statement is correct.

ad = bc.

After applying the cross multiplication, the desired variable is isolated to obtain it's value.

The problem is incomplete, hence the general procedure to solve the proportion was presented.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Given Information:

Distance = 160 miles

Required Information:

Rate = r = ?

Answer:

Rate = r = 20 mph

Step-by-step explanation:

Recall that the rate is given by

Rate = distance/time

\(r = \frac{d}{t} \\\\t = \frac{d}{r} \\\\t = \frac{160}{r} \\\\\)

It is given that the same trip would have taken 2 hours longer if he had decreased his speed by 4 mph.

Mathematically,

\(\frac{160}{(r-4)} = \frac{160}{r} + 2 \\\\\)

Simplify the equation

\(\frac{160}{(r-4)} - \frac{160}{r} = 2 \\\\\frac{160r - 160(r-4)}{r(r-4)} = 2 \\\\\frac{160r - 160r+640)}{r(r-4)} = 2 \\\\160r - 160r+640 = r(r-4) (2) \\\\640 = r(r-4) (2) \\\\640 = (r^2 - 4r) (2) \\\\640 = 2r^2 - 8r \\\\2r^2 - 8r-640 =0 \\\\2(r^2 - 4r-320) =0 \\\\r^2 - 4r-320 =0 \\\\\)

Now we are left with a quadratic equation.

We may solve the quadratic equation using the factorization method  

\(r^2 - 4r-320 =0 \\\\r^2-20r+16r-320=0 \\\\r(r-20)+16(r-20)=0 \\\\(r-20) (r+16)=0 \\\\\)

So,

\((r-20) = 0 \\\\r = 20 \\\\\)

OR

\((r+16)=0 \\\\r = -16 \\\\\)

Since rate cannot be negative, discard the negative value of r

Therefore, the rate is

\(r = 20 \: mph\)

Answer:

The illustration is approximately 226 times larder than the actual pollen grain.

Step-by-step explanation:

First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.

This will be

\((\frac{3}{10}) ^{3}=0.027cm\) wide

The original width of the pollen is 0.027 cm.

Next,

We can take the width of the illustration to be 6.10 cm  wide.

After this,

To get the magnification factor, we will have to use the formula

Magnification = illustrated size/ actual size

This will be the magnification = \(6.10/0.027\) = 255.92 times

Hence, the illustration is approximately 226 times larder than the actual pollen grain.

Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

Read more about Partial Differential Equations at: https://brainly.com/question/28099315

#SPJ1

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$45700\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &2 \end{cases}\)

\(A = 45700\left(1+\frac{0.12}{4}\right)^{4\cdot 2}\implies A=45700(1.03)^8 \implies A \approx 57891.39 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{earned interest}}{57891.39~~ - ~~45700} ~~ \approx ~~ \text{\LARGE 12191.39}\)

Answer:

9:103° is the answer because of vertically opposite angle

10: 119° is the answer because of alternate angle

Hope it helps you...

Step-by-step explanation:

mark me brainliest

a. The value of c in the probability mass function when x is a discrete random variable is 0.15

b. The value of P(x > 3)  is 0.25

c. The value of P(3 ≤ x ≤ 5) is 0.15

d.  the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

In probability mass function, sum of the probabilities for all possible values of x must be equal to 1

Thus,

0.2 + 2c + 0.2 + c + 0.1 = 1

Solve for c

c = 0.15

Hence, the probability mass function for x can be rewritten as;

x:      0     1     2   4     10

p(x): 0.2 0.3 0.2 0.15 0.1

To find P(x > 3), add the probabilities for all values of x that are greater than 3. The values greater than 3 are 4 and 10

sum of their  probabilities

P(x > 3) = P(x = 4) + P(x = 10)

= 0.15 + 0.1

= 0.25

To find P(3 ≤ x ≤ 5),sum the probabilities for all values of x between 3 and 5, inclusive:

P(3 ≤ x ≤ 5) = P(x = 4)

= 0.15

To find P(x < 6 | x ≥ 1), use the formula for conditional probability:

P(x < 6 | x ≥ 1) = P(x < 6 and x ≥ 1) / P(x ≥ 1)

To find the numerator, we sum the probabilities for all values of x between 1 and 5, inclusive

P(x < 6 and x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4)

= 0.3

To find the denominator, we sum the probabilities for all values of x greater than or equal to 1:

P(x ≥ 1) = P(x = 1) + P(x = 2) + P(x = 4) + P(x = 10)

= 0.85

Therefore, we have

P(x < 6 | x ≥ 1) = (0.3 / 0.85) ≈ 0.353

Thus, the probability that x is less than 6 given that it is greater than or equal to 1 is approximately 0.353.

Learn more on probability mass function on https://brainly.com/question/33256547

#SPJ1

Using a system of equations, it is found that:

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

For our system, we have that:

Three pounds of  strawberries, five pounds of grapes, and one pound of melon at a cost of $20.

This means that:

\(3x + 5y + z = 20\)

\(z = 20 - 3x - 5y\)

Three pounds of strawberries, two pounds of grapes, and two pounds of melon at a cost of $21.

This means that:

\(3x + 2y + 2z = 21\)

\(3x + 2y + 2(20 - 3x - 5y) = 21\)

\(3x + 2y + 40 - 6x - 10y = 21\)

\(3x + 8y = 19\)

Four pounds of strawberries, three pounds of grapes, and three pounds of melon  at a cost of $30.

This means that:

\(4x + 3y + 3z = 30\)

\(4x + 3y + 3(20 - 3x - 5y) = 30\)

\(4x + 3y + 60 - 9x - 15y = 30\)

\(5x + 12y = 30\)

For x and y, the system is:

\(3x + 8y = 19\)

\(5x + 12y = 30\)

Multiplying by 5 and -3, we get:

\(15x + 40y = 95\)

\(-15x - 36y = -90\)

Then, adding them:

\(4y = 5\)

\(y = \frac{5}{4}\)

\(y = 1.25\)

Each pound of grape cost $1.25.

Solving for x:

\(5x + 12y = 30\)

\(5x + 12(1.25) = 30\)

\(5x = 15\)

\(x = \frac{15}{5}\)

\(x = 3\)

Each pound of strawberry cost $3.

Finally, for z:

\(z = 20 - 3x - 5y\)

\(z = 20 - 3(3) - 5(1.25)\)

\(z = 4.75\)

Each pound of melon costs $4.75.

A similar problem is given at https://brainly.com/question/17096268

Answer:

If they each mate shouldn't you have about 120

Step-by-step explanation:

This paragraph add tension to the passage by explaining how the old trees would take human qualities in reaction to being cut down. Option D

The term tension in literature has to do with the feeling of anxiety that comes along with a piece of written text. Anxiety is deliberately created by the author as one of means of making the reader to be spellbound by the writing.

Now, if we examine the excerpt as we have it in the question, we can see that this paragraph add tension to the passage by explaining how the old trees would take human qualities in reaction to being cut down. Option D

Learn more about tension in literature:https://brainly.com/question/16602460

#SPJ1

The probability of this event is estimated by calculating the number of favourable cases by the number of total cases, this way:

The probability is 0.0014.

The cost per ounce of the premium walnut is $0. 23

To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such  that they are made equal to another.

From the information given, we have that;

54 ounces of premium walnuts costs $12.95

This is represented as;

54 ounces = $12. 95

Then 1 = x

cross multiply the values, we get;

x = $12.95/54

Divide the values, we get;

x = $0. 23

Hence, the value is $0. 23 per premium walnut

Learn more about proportion at: https://brainly.com/question/1781657

#SPJ1

Answer:

30.57%

Step-by-step explanation:

Dylan bought it for 3600.

Kirtim bought it from Dylan for 3600+205 = 3805

Aayush bought it from Kirtim for 4968.

that difference (profit for Kirtim) = 4968 - 3805 = 1163

Kirtim's initial 100% = 3805

1% = 100%/100 = 3805/100 = 38.05

now we want to know how many % in relation to his buying cost this 1163 selling profit is.

that means we need to see how often 1% fits into that amount.

%profit = profit / 1% cost = 1163 / 38.05 = 30.57%

=>

Kirtim made a profit of 30.57%.

Let's make y the subject of the equation.

The correct option is A

The area of a rectangle does double when dilated by a scale factor of 2, the Perimeter does not double. It increases by a factor of 2.

Brendan's statement that when a rectangle with a length of 6 cm and a width of 4 cm is dilated by a scale factor of 2, the perimeter and area of the rectangle are doubled is incorrect. While the area of the rectangle does indeed increase by a factor of 2 when dilated, the perimeter does not necessarily double.

Brendan's statement and understand the concept of dilation:

1. Perimeter: The perimeter of a rectangle is the sum of all its sides. In this case, the original rectangle has a length of 6 cm and a width of 4 cm, resulting in a perimeter of 2*(6 cm + 4 cm) = 20 cm. If we dilate this rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The perimeter of the new rectangle is 2*(12 cm + 8 cm) = 40 cm. As we can see, the perimeter has not doubled; it has increased by a factor of 2.

2. Area: The area of a rectangle is calculated by multiplying its length by its width. For the original rectangle with a length of 6 cm and a width of 4 cm, the area is 6 cm * 4 cm = 24 cm². When we dilate the rectangle by a scale factor of 2, the new rectangle will have a length of 2 * 6 cm = 12 cm and a width of 2 * 4 cm = 8 cm. The area of the new rectangle is 12 cm * 8 cm = 96 cm². The area has indeed doubled, as Brendan mentioned.

Therefore, while the area of a rectangle does double when dilated by a scale factor of 2, the perimeter does not double. It increases by a factor of 2. It is crucial to differentiate between the effects of dilation on the area and the perimeter of a shape to have a clear understanding of geometric transformations.

For more questions on Perimeter .

https://brainly.com/question/397857

#SPJ8

Answer:

15 = 12 +3   or   5x = 4x + 3.

Hope that helps. x

A: 353.75. hope this helps you

Step-by-step explanation:

the item angle on the left line is also 130 degrees, as these 2 equally long lines create a triangle with 2 equal sides.

the two internal angles are the complement from 130 to 180 degrees, as every straight line stands for 180 degrees.

so, 180-130 = 50 degrees.

=> both internal angles are 50 degrees.

that makes the angle at the bottom tip of the triangle the complement of both 50 degree angle to 180, because the sum of all angles in a triangle is always 180 degrees.

so, 180 - 50 - 50 = 80 degrees.

and the outside angles of that triangle tip angle are each half of the complement of these 80 degrees to 180 (resistive to the bottom horizontal line).

180 - 80 = 100

100/2 = 50

so, both outside bottom angles are again 50 degrees.

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The red dot on the graph is (2, -8)

The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.

Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.

It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.

The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.

Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.

To know more about graph click-
https://brainly.com/question/19040584
#SPJ1

Answer:

80,000 + 6,000 + 500 + 3

Step-by-step explanation:

Expand so that all non-zero digits are by itself. Remember to retain it's place value:

86503 = 80,000 + 6,000 + 500 + 3

~

Answer:

B) 15 + x

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

We are given the expression: "15 more than a number"

By the look of the answer choices, we want to convert this sentence into a mathematical formula.

We do this by starting off with a key word, "more". More would imply addition. Hence, we would be adding 15 to some number. We can define some number to be x to get us our answer:

15 + x

Which is answer choice B.

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx