Answer 3,4,5,6 Thank you

A graph to represent this scenario is number line with open circle on the number 89 and line shaded to the right

In Mathematics, the following rules are generally used for writing and interpreting an inequality on a number line:

Let the age of the grandparents be x. Therefore, an inequality which represents the situation described above is given by:

x > 89

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Answer: 300

Step-by-step explanation:

[tex]\sum^{3n}_{k=1} k=\frac{3n(3n+1)}{2}\\\\\sum^{n}_{k=1} k=\frac{n(n+1)}{2}\\\\\therefore \frac{3n(3n+1)}{2}-150=\frac{n(n+1)}{2}\\\\3n(3n+1)-300=n(n+1)\\\\9n^2 +3n-300=n^2 +n\\\\8n^2 +2n-300=0\\\\4n^2 +n-150=0\\\\(n-6)(4n+25)=0\\\\n > 0 \implies n=6\\\\\therefore 4n=24\\\\\implies \sum^{4n}_{k=1} k=\sum^{24}_{k=1} k=\frac{24(25)}{2}=300[/tex]

Answer:

d is correct

Step-by-step explanation:

[tex].25p = 10[/tex]

[tex]p = 40[/tex]

So d is correct.

Answer:

0.6cm

Step-by-step explanation:

25 : 1

1 : 0.04

15 : 0.6

The simplified form of the given inequality is w > -3.

What is inequality?

 When two values are compared, an inequality reveals whether one is bigger than, less than, or simply not equal to the other. The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to one another. The occurrence of an unfair distribution of opportunities and resources among individuals of a certain society is referred to as inequality. To different people and in various contexts, the term "inequality" may mean different things.

Here the given inequality is ,

=> -5w<15

=> -5 *w < 15

=> w>15/-5

=> w > -3.

Hence the correct simplified form of the inequality is w >-3.

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Answer: x=3

Step-by-step explanation:

Simplify equation to get 8x=24. Divide 24 by 8 to get x=3. Please give brainliest :D

Answer:

Step-by-step explanation:

First add 17 to both sides to isolate the variable (usually the one with the bigger coefficient is best)

subtract 15x from both sides to combine 23X and 15X terms

Divide by 8 to solve

Answer:

scale factor = 2

Step-by-step explanation:

the scale factor is the ratio of corresponding sides , polygon B to polygon A

in figure A the vertical side RS = 2 units

the corresponding vertical height in figure B = 4 units , then

scale factor = [tex]\frac{4}{2}[/tex] = 2

Lily's time is spent in biology class on lesson is 1 hour or 60 minutes.

Time of one class = 1 hour and fifteen minutes

As we know, 1 hour = 60 minutes

So, time of a class = 60 + 15

Performing addition

Time of a class = 75 minutes

Time spent in talking in biology class = 5 minutes

Time spent in reviewing old homework = 10 minutes

Total time spent = 15 minutes

Remaining time = 75 - 15

Performing subtraction

Remaining time = 60 minutes

Hence, 60 minutes or 1 hour is spent on the lesson.

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The point that preserves the function is (0, 9), so the correct option is D.

A function is a relationship that maps elements from a set (domain) into another set (range).

Such that each element in the domain is mapped into only one element of the range.

In the graph of the function we can see the points:

(-7, 4)

(-3, -3)

(2, 9)

(3, -8)

(5, 7)

(9, 3)

So the inputs {-7, -3, 2, 3, 5, 9} are already used and we can't use them anymore, the correct option then is:

D (0, 9)

Which has the only input that is not already graphed on the function's graph.

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The area of the triangle below is 224 inches squared.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

The area of a triangle  an be described as follows:

area of a triangle = 1 / 2 bh

where

Therefore, the area of the triangle can be found as follows:

b = 4t = 4(4) = 16 inches

h = 7(t) = 7(4) = 28 inches

Therefore,

are of the triangle = 1 / 2 × 16 × 28

are of the triangle = 8 × 28

Therefore,

are of the triangle = 224 inches²

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Answer:

224 inches squared.

Step-by-step explanation:

have great day

Answer:

= (2x + 5y) * (2x - 5y)

Step-by-step explanation:

4x²-25y²
= (2x)² - (5y)²
= (2x + 5y) * (2x - 5y)

Answer:

[tex]\huge\boxed{\sf (2x + 5y)(2x - 5y)}[/tex]

Step-by-step explanation:

[tex]4x^2-25y^2[/tex]

Both of the terms are perfect squares.

[tex](2x)^2-(5y)^2[/tex]

= (2x + 5y)(2x - 5y)

[tex]\rule[225]{225}{2}[/tex]

There is a 0.33 percent chance that a woman is the owner of each of the firms identified. Therefore, there is a 0.036 percent chance that women own ALL three of the called businesses.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The probability that each of the firms called is owned by a woman is 0.33. Therefore, the probability that ALL three of the firms called are owned by women is:

percentage=0.33*0.33*0.33

percentage=0.035937

=0.036

There is a 0.33 percent chance that each of the businesses is run by a woman. As a result, there is a 0.036 percent chance that women own ALL three of the businesses mentioned.

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As per the reference attachment attached thereby along with the question statement, to prove the triangles ABC and ADC are congruent by SAS property, proving either of (AB ≅ CD), (AB ≅ DC) or (AD ≅ BC) will suffice.

In the reference attachment attached thereby along with the question statement, we are provided with two triangles, (ADC and ABC),

And as per the question statement, we are required to determine the relation between the corresponding sides or angles of the concerned triangles which we will need to prove over the information already provided in the figure, to ascertain that triangles ABC and ADC are congruent by SAS property.

Now, for two triangles to be congruent by SAS property, they will need to have two pairs of equal corresponding sides, and one set of equal corresponding angles.

Among our concerned triangles, ΔABC and ΔADC, already given that,

(∠DAC = ∠BCA), i.e., one set of equal corresponding angles,

And, (AC) is a common side to both ΔABC and ΔADC, i.e., one set of equal corresponding sides.

At this point, for ΔABC and ΔADC to be congruent, we will need to prove another set of corresponding sides to be equal, to complete SAS property.

Therefore, proving either of (AB ≅ CD), (AB ≅ DC) or (AD ≅ BC) will complete the second set of corresponding sides being equal, and  (ΔABC and ΔADC) can be proved to be congruent triangles.

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When Niecy combines the fruit she will have a total of Start Fraction 12 over 14 End Fraction

information form the question

Niecy has Nine-fourteenths of a cup of pears

Three-fourteenths of a cup of mangos

The problem is faced with addition of fractions

writing out the fractions in figures gives

Niecy has Nine-fourteenths of a cup of pears = 9 / 14

Three-fourteenths of a cup of mangos = 3 / 14

Addition of the fraction is done as follows

= 9 / 14 + 3 / 14

=  (9 + 3) / 14

= 12 / 14

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The short side of one box divided by the short side of the other box must equal the long side of one box divided by the long side of the other box. If the results are the same, they are proportional, if not, they are not proportional

[tex]\frac{102}{140} = 0.72 \\\\\frac{170}{226} = 0.75[/tex]

Answer:

[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=(4x-1)(x+9)[/tex]

The roots of a function are the x-values for which the function equals zero.  Therefore, to find the roots, set the function to zero and solve for x.

Set the function to zero:

[tex]\implies f(x)=0[/tex]

[tex]\implies (4x-1)(x+9)=0[/tex]

Zero Product Property

If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Apply the zero product property:

[tex](4x-1)=0 \implies x=\dfrac{1}{4}[/tex]

[tex](x+9)=0 \implies x=-9[/tex]

Therefore, the roots of the given function are:

[tex]x=-9, \quad x=\dfrac{1}{4}[/tex]

Answer:The equation 8.9+(6.4 +7.2) is correctly applying the Associative Property of Addition.

Step-by-step explanation:

The Associative Property of Addition states that when adding three or more numbers, the order in which the numbers are added does not affect the sum.

Answer:

169 times

Step-by-step explanation:

To find number of rotations made by wheel...

Know that 1 yard = 36 in

300 yards = 36 x 300 = 10800 in

Number of rotation = Total distance covered by wheel ÷ Circumference of wheel

Number of rotations = 10800 ÷ 64 = 168.75 ≅ 169

Therefor, the wheel rotates = 169 times

Hope this helps! :)

The domain of y equals two divided by the quantity x minus three squared all minus one [y = (2)/(x - 3)² - 1] is: all real numbers.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.

This ultimately implies that, a domain is the set of all possible input numerical values or numbers (x-values) to a function and the domain of a graph comprises all the input numerical values which are located on the x-coordinate.

Translating the word problem into an algebraic equation, we have;

y = (2)/(x - 3)² - 1

When x = 3, we have:

y = (2)/(3 - 3)² - 1

y = 2/-1 = -2

When x = 1, we have:

y = (2)/(1 - 3)² - 1

y = 2/3

In conclusion, the domain of this function is all real numbers.

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Answer:

True

Step-by-step explanation:

f'(3) = 0 says the tangent line at x = 3 is horizontal.

f"(3) = 0 means the graph of  f  is concave up at x = 3.

Together, these tell you the graph has a local minimum at x = 3.  The graph is  U-shaped at the point where x = 3.

The equation used to solve this problem is x + y + z = 100000,  0.04x + 0.06y + 0.08z = 6700 and y = z

An equation is an expression showing the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 4% (short term), y represent the amount of money invested at 6% (intermediate term) and z represent the amount of money invested at 8% (long term)

Since an investor has $100,000 to invest, hence:

x + y + z = 100000    (1)

Also, the investor wishes to have a return of $6700, hence:

0.04x + 0.06y + 0.08z = 6700   (2)

Equal amounts invested in intermediate and long term bonds. This gives:

y = z     (3)

The third equation used to solve this problem is y = z

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Answer:

g(10) = -12

Step-by-step explanation:

Mean Value Theorem

If f is continuous on [a, b] and differentiable on (a, b), then there is a number c  such that a < c < b and:

[tex]f'(c)=\dfrac{f(b)-f(a)}{b-a}[/tex]

We are told that the function g(x) is continuous on the closed interval [8, 10] and differentiable on the open interval (8, 10).

Therefore:

Given:

As 8 < 8.5 < 10 then c = 8.5:

[tex]\begin{aligned} \implies g'(8.5)=\dfrac{g(10)-g(8)}{10-8}&=-9\\\\\dfrac{g(10)-6}{2}&=-9\\\\g(10)-6&=-18\\\\g(10)&=-12\end{aligned}[/tex]

The mean of the distribution is 24.444.

Given, that 87.3% of all homes have a large-screen tv. a sample of 28 homes is selected.

Now, we have to find the mean of the distribution

As, we know

E(x) = np

where, n is the sample and p is the probability of success

So, n = 28 and p = 87.3% = 0.873

Now, on using the formula we get,

E(x) = (28)(0.873)

E(x) = 24.444

So, the mean of the distribution is E(x) = 24.444

Hence, the mean of the distribution is 24.444.

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Answer:

x= 40° y= 66° z=106° ....

The value of angles are x = 40° , y = 66°, z = 106°

Since there are two parallel lines and two intersecting lines forming a triangle we will use the properties of lines and triangles to find out the value of x,y,z. First of all y = 66° because of the vertical angle theorem, which means that adjacent angles formed by the intersection of two lines are supplementary or equal to 180° degrees. The third angle of the triangle formed is 74°. Using the sum of all angles of the triangle is equal to 180° we can find the third angle of triangle x which is equal to 40°. Now z can be found using the property sum of two opposite interior angles which will come out to be 106°. Hence by this, we can find all the angles.

I hope this answer helps.

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(a) Equation is 8x - 2x = 36

(b) By solving equation we get the value of x = 6

(c) The length of the rectangle is 14

Given,

In the question:

A square and a rectangle have same perimeter.

The square (2x,2x) and the rectangle (10, x+8) have perimeters of the same length.

Now, According to the question:

We know that the formula of Perimeter of rectangle and square.

Perimeter of square = 4 x side

Perimeter of rectangle = 2(length + breadth)

Perimeter of a square = 4(2x) = 8x

Perimeter of rectangle = 2(x + 8) + 20

Now,

8x = 2x + 16 + 20

6x = 36

x = 6

Hence, (a) Equation is 8x - 2x = 36

(b) By solving equation we get the value of x = 6

(c) The length of the rectangle is 14 .

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a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For 4 days, Pablo put $3 into his account.

And, His parent also add the some money to his saving account.

In the end, there was a total $36 in his account.

Now,

Let the amount Pablo parents added in each day = x

So, We can formulate;

⇒ 4 (x + $3) = $36

Solve for x as;

⇒ 4x + $12 = $36

⇒ 4 x = $36 - $12

⇒ 4x = $24

Divide by 4 both side, we get;

⇒ x = $6

Thus,

a) The correct equation to represent the given condition is;

⇒ 4 (x + $3) = $36

Where, x represents the amount Pablo parents added in each day.

b) The amount to added by his parents in his account = $6

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The factored form of x² + 2x - 15 is (x + 5)(x - 3).

Factorisation is a process of finding the factors of algebraic equations and representing them in simple form instead of expanded form.

Therefore, let's factor x² + 2x - 15

x² + 2x - 15

let's find two numbers we can add to get 2 and multiply to get - 15. The two numbers are -3 and 5.

Therefore,

x² - 3x + 5x - 15

x(x - 3) + 5(x - 3)

(x + 5)(x - 3)

Therefore,

x² + 2x - 15 = (x + 5)(x - 3)

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The slope of the linear equation is 0, and the solution of the second equation is x = 10.

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

slope = (y2 - y1)/(x2 - x1)

So if the line passes through (-12, 6) and (4, 6), the slope is:

slope = (6 - 6)/(4 + 12) = 0

The slope is 0.

2) How to solve the equation for x?

Here we have the equation:

2/8 = 3/(x + 2)

If we move the denominators we get:

2*(x + 2) = 3*8

2x + 4 = 24

2x = 24 - 4

2x = 20

x = 20/2 = 10

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